1. The graph that has a slope of -2/3 and a y-intercept of 2 is given as follows:
Graph of a line passing through the points (0,2) and (3,0).
2. The graph that represents the equation y = 0.5x - 1 is given as follows:
Graph of a line passing through the points (-2,-2) and (0,-1).
3. The graph that represents the relation is given as follows:
Graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point (0,58) and (1, 56).
How to model a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the change in y when x is increased by one.b is the intercept, representing the value of y when x = 0.For the graph that has a slope of -2/3 and a y-intercept of 2, we have that:
The intercept of 2 means that the function passes through (0,2).The intercept of -2/3 means that the function passes through (3,0), as when x increases by 3, y decays by 2.The y-intercept and the slope of the equation y = 0.5x - 1 is given as follows:
-1, meaning that the function passes through the point (0,-1).
When x = -2, the value of the function is given as follows:
y = 0.5(-2) - 1
y = -1 - 1
y = -2.
Hence the other point is (-2,-2).
For the relation in item 3, we have that when x increases by 3, y decays by 6, hence the slope m is given as follows:
m = -6/3
m = -2.
Hence:
y = -2x + b.
When x = 2, y = 54, hence the intercept b is given as follows:
54 = -2(2) + b
b = 58.
Hence the function is:
y = -2x + 58.
The points are:
(0,58): y-intercept of 58.(1,56): when x increases by one, y decays by 2.More can be learned about linear functions at https://brainly.com/question/24808124
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Metric month 1 month 2 month 3 % customer questions 896 10% 1296 % shipped on time - 10% -796 -5% % shipped incorrectly 2% 4% 496 % discounted 18% 18% 1496 units shipped (thousands) so 85 100 question 2 of 4 how impactful were product discounts on customer questions? not impactful extremely impactful
Customer questions had no impact on changes in discounts or customer behavior, according to those two variables.
Explain the term customer inquiries?A non-binding request for a quote or sales information from a customer to a business. The request may mention particular goods or services, terms, and, if required, delivery deadlines.
A discount that is based on a percentage is the most typical type of discount. Small discounts (5–10% off) and bigger discounts (15–25%) are used by online retailers to entice customers to make a purchase. To get rid of outdated and excess inventory, it's also common to see brands offer discounts of 50% or more.For the stated question-
Customer queries and discounts have a relationship.Customer questions increased by 2 to 10% even when the discounts remained at 18%.Customer questions still increased at their typical rate of 2 percent to 12 percent when discounts were reduced to 14 percent.Since, customer inquiries did not alter in response to changes in discount, we can conclude that discounts had no influence on them.
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The correct question is attached.
A high chool courtyard ha a idewalk laid out a hown. Sidewalk A,B, and C are horizontal, with idewalk D connecting the other three. Decribe the relationhip of thee idewalk
If the sidewalk A , B ,C are horizontal to each other and D is connecting them, then we can say that the the sidewalk D is perpendicular to them .
We say that two lines are perpendicular if they form the angle of 90 degree between them. Thus , we can say that the sidewalk D are having a perpendicular relationship whit the other 3 sidewalks.
Horizontal means something which has a parallel relationship with the horizon . The opposite of horizontal is vertical which is also known as the portrait mode. A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other similarly the vertical lines do not cross each other.
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find vertical and horizontal asymptotes
A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.
A slant asymptote exists of the form y = mx + b where m ≠ 0.
What is the difference between vertical and horizontal asymptotes?Vertical lines go up and down and are in the form of x = a, where a stands for the common x-coordinate of all locations, whereas horizontal lines go left to right and take the shape of y = b, where b stands for the y-intercept.
A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's domain, the graph can never cross it. There may be multiple vertical asymptotes for a given function. All common factors are cancelled in the denominator, D(x).
A horizontal asymptote exists of the form y = k where x→∞ or x→ -∞ if the value of the one/both of the limits lim ₓ→∞ f(x) and lim ₓ→ -∞ f(x).
A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.
A slant asymptote exists of the form y = mx + b where m ≠ 0.
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What is the value of 7’3•7’2
Answer:
When adding the fractions 2/7 and 3/7 you'll get 5/
Step-by-step explanation:
pls mark as brainliest
please helppppp need this by tonighttt
Pleaseee
Answer:
A. The domain should be all reals.
B. The range is y≤1 if the function is |x-2|+1.
C. It's a function.
If you get this wrong then my bad
Tom would like to take out a secured loan to help pay for a vacation this summer. he has offered his car as collateral. his car is worth $3,500. his bank can offer loans for 80% of collateral value. the vacation he has planned will cost $4,750. approximately how much additional collateral will tom need to offer in order to borrow enough to go on his vacation as planned? a. $1,000.00 b. $1,362.50 c. $2,437.50 d. $2,800.00 please select the best answer from the choices provided a b c d
Tom has to put up an additional $2,437.5 in collateral in order to borrow enough money to take his vacation as planned.
What is unitary method?This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.
A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.
We typically utilize this technique for math calculations.
This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc.
According to our question-
automobile is priced at $3,500.
Tom needs more collateral, so P
=P + 3500 Total Collateral Value
His bank is able to lend up to 80% of the value of the collateral.
=> loan = (80/100)(P + 3500)
=> loan = 0.8P + 2800
Loan amount needed: 4,750.
0.8P + 2800 = 4,750.
=> 0.8P = 1950
=> P = 2,437.5
Tom has to put up an additional $2,437.5 in collateral in order to borrow enough money to take his vacation as planned.
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How do you find the hypotenuse of an isosceles right triangle when given the area?
The formula for finding the hypotenuse of an isosceles right triangle when given the area is A = (1/2)bh, where A is the area, b is the base, and h is the height.
To calculate the hypotenuse, first solve for h, which is h = 2A/b. Then, use Pythagorean theorem to solve for the hypotenuse c, which is c = sqrt((b^2)+(2A/b)^2). To illustrate the formula, consider a triangle with an area of 20 and a base of 10. First, solve for h, which is h = 2(20)/(10) = 4. Then, solve for c, which is c = sqrt((10^2)+(4^2)) = sqrt(196) = 14. Therefore, the hypotenuse of the isosceles right triangle with an area of 20 and a base of 10 is 14.
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find the maximum value of y= -8x^2 + 80x -196
Answer:
(5,4)
Step-by-step explanation:
first, if you have a calculator you can put the equation into y = and just find the maximum point there
to find the x value of the maximum point you do -B/2A
-80/2(8) = 5 so the x value would be 5
then to find y just plug in 5 for x and you should get 4
Answer:
Maximum value of
[tex]f(x) = - 8x^2 + 80x - 196[/tex]
is
[tex]\boxed{f(x) = 4}[/tex]
Step-by-step explanation:
The maximum or minimum value of a function f(x) occurs when the first derivative equals zero
The first derivative of
[tex]f(x) = - 8x^2 + 80x - 196[/tex]
[tex]f'(x) = \dfrac{d}{dx}\left(-8x^2+80x-196\right)[/tex]
[tex]=-\dfrac{d}{dx}\left(8x^2\right)+\dfrac{d}{dx}\left(80x\right)-\dfrac{d}{dx}\left(196\right)[/tex]
[tex]\dfrac{d}{dx}\left(8x^2\right) = 16x\\\\=- \dfrac{d}{dx}\left(8x^2\right) = -16x\\\\\\\dfrac{d}{dx}\left(80x\right)=80\\\\\dfrac{d}{dx}\left(196\right)=0[/tex]
[tex]\dfrac{d}{dx}\left(-8x^2+80x-196\right) \\\\\\ =-16x + 80 + 0\\\\= -16x + 80\\\\[/tex]
Set this expression equal to 0 and solve for x to find the x value which maximizes or minimizes the function
[tex]-16x + 80 = 0\\\\\implies -16x = -80\\\\x = -80/-16\\\\x = 5\\\\[/tex]
Plug this value of x into the original function to get the maximum or minimum value.
[tex]f(5) = -8(5^2) + 80(5) - 196\\\\= -8 (25) +400 -196\\\\= -200 + 400 - 196\\\\= 4\\\\[/tex]
So the maximum value of [tex]\boxed{f(x) = 4}[/tex] ANS
and occurs at [tex]x = 5[/tex]
(Strictly speaking to find if this is a maximum or minimum, we have to find the second derivative and see if it is negative or positive. If negative, it is a maximum, if positive it is a minimum
But since the question does not ask for this, I am skipping it. In case you are interested, the second derivative of f(x) is the derivative of f'(x) which will work out to -16 so it is a maximum)
NEED HELP ASAP PLEASE AND THANK YOU
The midpoint of AB is M (3,-1). If the coordinates of A are (8,4), what are the coordinates of B?
The coordinates of B is (-2, -6)
How to find the coordinates of BThe formula to determine the midpoint of a straight line using the coordinates of its endpoints is known as the midpoint formula in coordinate geometry.
The formula is of the form
X= (x₂ + x₁)/2
Y = (y₂ + y₁)/2
From the formula the coordinates of B is solved knowing that midpoint is
M (3,-1) and A is (8,4) and say B (x₁, y₁)
3 = (8 + x₁)/2
6 = 8 + x₁
x₁ = -2
-1 = (4 + y₁)/2
-2 = 4 + y₁
y₁ = -6
hence B is (-2, -6)
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Suppose cot(日) = = 2, where
○
12
5
○ 13
ㅇㅇㅇ
13
晉
where n
ㅠ
ㅇ픔
Answer: sinθ=-12/13
Step-by-step explanation:
[tex]\displaystyle\\Given:\ cot\theta=\frac{5}{12} \ \ \ \ \pi < \theta < \frac{3\pi }{2} \ \ \ \ Find:\ sin\theta\\\\\frac{cos\theta}{sin\theta} =\frac{5}{12}[/tex]
Multiply both parts of the equation by 12sinθ:
[tex]12cos\theta=5sin\theta[/tex]
Squared both parts of the equation:
[tex](12cos\theta)^2=(5sin\theta)^2\\\\144cos^2\theta=25sin^2\theta\ \ \ \ (1)\\[/tex]
[tex]Find\ sin\theta[/tex]
Add 144sin²θ to both parts of the equation (1):
[tex]144cos^2\theta+144sin^2\theta=25sin^2\theta+144sin^2\theta\\\\144(sin^2\theta+cos^2\theta)=169sin^2\theta\\\\144(1)=169sin^2\theta\\\\144=169sin^2\theta\\\\Thus,\ 169sin^2\theta=144[/tex]
Divide both parts of the equation by 169:
[tex]\displaystyle\\sin^2\theta=\frac{144}{169} \\\\sin\theta=б\sqrt{\frac{144}{169} } \\\\sin\theta=б\sqrt{\frac{12^2}{13^2} } \\\\sin\theta=б\sqrt{(\frac{12}{13})^2 } \\\\sin\theta=б\frac{12}{13}[/tex]
[tex]\displaystyle\\As, \ \pi < \theta < \frac{3\pi }{2} \ \ \ \ \Rightarrow\ \ \ \angle\theta\ is \ in\ the\ 3rd\ quadrant\\\\ So \ sin\theta\ takes \ negative \ values\\\\sin\theta=-\frac{12}{13}[/tex]
Mr Dunn drives 640 m from work at a speed of 4.8m/s mrs. dunn  drives 810 m from work at speed of 5.4m/s they both leave work at the same time how many minutes later is it before the second person gets home
The temperature was 30 degrees this morning but is dropping 4 degrees per hour.
The slope of the line will be
In 5 hours the temperature will be at
The graph of this line will
y = temp and x = hours
Type the equation WITH NO SPACES
(positive or negative)
degrees (type the number)
(increase or decrease)
For each systems of equations below, choose the best method for solving
and solve. Show your work.
y=-x-6
x+3y=-18
The equation which gives solutions, x=0 and y=-6.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y=-x-6............................(1)
x+3y=-18.........................(2)
now, solving both equation we get
x+3y=-18
x + 3(-x-6) = -18
x - 3x - 18 = -18
-2x = 0
x= 0
and, y= -0 -6 = -6
Hence, the solution is x=0 and y=-6.
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How to calculate CSS pixel ratio?
Calculating the pixel ratio of a website involves measuring the width and height of each element on the page and then dividing the width by the height.
What is ratio?Ratio is a comparison of two numbers or values expressed as a fraction or proportion. Ratios are used to compare different measures, such as costs, efficiency, productivity, or profitability, and to evaluate the relative importance of different elements. Ratios are also used to compare different items to each other, such as the ratio of sales to expenses. Ratios can be used to compare different time periods, and to assess the performance of a company over time.
The result is the pixel ratio, which can be used to determine how much of an element is visible on the page and how much is hidden. To calculate the pixel ratio, you can use a variety of tools, such as online tools, browser extensions, or specialized software. It is also important to note that the pixel ratio will vary depending on the device used to view the website, so it is important to test the website on multiple devices. Once the pixel ratio is calculated, it can be used to optimize the website for different devices.
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If index of refraction 1 is 1. 5, index of refraction 2 is 2. 0, and the angle of incidence is 45 degrees, what is the angle of refraction?.
The angle of refraction is 32 degrees. The result is obtained by using the formula from the Snell's Law.
What is Snell's Law?The Snell's Law is a formula to describe the relationship between the angles of incidence and refraction when a light passes through two medias. It can be expressed as
n₁ / n₂ = sin θ₂ / sin θ₁
Where
n₁ = refractive index of medium 1n₂ = refractive index of medium 2 θ₁ = incident angleθ₂ = refracted angleWe have:
Index of refraction 1, n₁ = 1.5.Index of refraction 2, n₂ = 2.0.Angle of incident, θ₁ = 45°.Find the angle of refraction!
Using the formula of Snell's Law, we'll get the refracted angle.
n₁ / n₂ = sin θ₂ / sin θ₁
1.5 / 2.0 = sin θ₂ / sin 45°
3 / 4 = sin θ₂ / (½√2)
sin θ₂ = 3(½√2)/4
sin θ₂ = 3/8 √2
sin θ₂ = 0.53
θ₂ = arc sin 0.53
θ₂ = 32°
Hence, the refracted angle is 32 degrees.
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Complete the table of values and answer these questions. Which function has the greater rate of change between 0 and 1? Which function has the greater rate of change between 1 and 2? Which function has the greater rate of change between 0 and 2?
The table is completed using the function f(x) = 3ˣ and g(x) = 3x as shown below
x f(x) g(x)
0 1 0
1 3 3
2 9 6
f(x) has a greater rate of change between 1 and 2
f(x) has a greater rate of change between 0 and 2
How to find the function that has the greater rate of changeThe table is completed by substituting the values of x into the functions of f(x) and g(x)
The rate of change between 1 and 2
f(x)
= change in y / change in x
= (9 - 3) / (2 - 1)
= 6
g(x)
= change in y / change in x
= (6 - 3) / (2 - 1)
= 3
The rate of change between 0 and 2
f(x)
= change in y / change in x
= (9 - 1) / (2 - 0)
= 4
g(x)
= change in y / change in x
= (6 - 0) / (2 - 0)
= 3
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the sum of the angle measures of a quadrilateral is 360 find the measure of the missing angle (please help)
A can of tomato sauce contains 8 oz of sauce a case contains 12 cans chef Hugo orders some cases of tomato sauce and gets a total of 480 oz of sauce use 12(8)x=480 to find out how many cases of tomato sauce chef Hugo orders x.
The problem states that a can of tomato sauce contains 8 oz of sauce and a case contains 12 cans. We are trying to find out how many cases of tomato sauce Chef Hugo orders and we know that he gets a total of 480 oz of sauce.
What in mathematics is a linear equation?
According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
We can use the formula 12(8)x = 480 to find out the number of cases of tomato sauce that Chef Hugo orders.
Here's the calculation:
12(8)x = 480
96x = 480
x = 5
Therefore, Chef Hugo orders 5 cases of tomato sauce.
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i need the answer to the top
The value of b is 2. Therefore (2, 1) is the midpoint of the line segment with endpoints (-4, 2) and (8, 0)
What is an equation?An equation is an expression that shows the relationship between numbers and variables.
If a point O(x, y) divides line segment AB with endpoints A(x₁, y₁) and B(x₂, y₂) in the ratio of 1:1 (midpoint). The coordinates of O is:
x = (x₁ + x₂)/2
y = (y₁ + y₂)/2
Given that (2, 1) is the midpoint of the line segment (-4, b) and (8, 0). Therefore:
1 = (0 + b)/2
b/2 = 1
b = 2
The value of b is 2.
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What is horizontal line test inverse?
The horizontal line test is a method used to determine if a given function is one-to-one, which means that for every unique x-value, there is a unique y-value. A function that is one-to-one can be inverted, meaning that it has an inverse function.
The inverse function of a one-to-one function is a function that undoes the original function.
The horizontal line test is used to determine if a given function is one-to-one by drawing a horizontal line through the graph of the function and seeing if the line intersects the graph at most once.
If the function is one-to-one, it has an inverse function and it can be found by switching the x and y values and solving for y.
For example, if the original function is f(x) = 2x + 1, its inverse function is f^-1(x) = (x-1)/2. This inverse function undoes the original function and it can be used to solve equations, find derivatives, and study geometric transformations.
It's important to note that the horizontal line test is only a sufficient condition, meaning that a function that passes the horizontal line test is one-to-one, but not all one-to-one function pass the horizontal line test.
In conclusion, the horizontal line test is a method used to determine if a given function is one-to-one, which is important because one-to-one functions can be inverted.
The inverse function undoes the original function, and it can be found by switching the x and y values and solving for y. The test is simple and easy to apply, but only a sufficient condition.
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please help i dont know what im doing
Answer:
87-5x Gespil=13+8x
Step-by-step explanation:
dubble started with 87, so we but 87 as the y-intercept. Every month he LOSES elentires, therefore minus. The months are represented by x, because we don’t know how many have passed. Same thing for Gespil except it increases for her.
if possible could i maybe get brainilest???? if i cant then its okay.
Help please and thank you
Answer:
A.
Step-by-step explanation:
looking at the scatter plot, we can sort of determine a line of best fit, so if we imagine a linear line passing through the middle of the plots, the slope of the line would be positive :)
Power of a power quotient rule
The quotient rule essentially asserts that we may divide two powers by subtracting the exponents as long as the base is the same. This is a quick way to simplify exponents.
What is power?The quotient rule essentially asserts that we may divide two powers by subtracting the exponents as long as the base is the same. This is a quick way to simplify exponents. A power series is an infinite series in mathematics in which a represents the coefficient of the nth term and c is a constant. Power series may be found in mathematical analysis as Taylor series of indefinitely differentiable functions. The power of a number indicates how many times the number may be multiplied. Exponents and Indices are other names for powers. For example, 8^2 might be labeled "8 to the power 2" or "8 to the second power", or simply "8 squared".
Here,
The quotient rule essentially asserts that as long as the base is the same, we may divide two powers by subtracting the exponents. This is a shortcut for simplifying exponents.
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In ∆ABC, if m ABC, if m∠A is seven
more than four times
m∠B and m∠C is eleven C is eleven
more than m more than m∠B, find B, find the
The measure of the angle ∠B of the triangle ABC will be 27°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
In ∆ABC, if m∠A is seven more than four times m∠B and m∠C is eleven more than m∠B. Then the equations are given as,
∠A = 4∠B + 7 ...1
∠C = ∠B + 11 ...2
∠A + ∠B + ∠C = 180° ...3
From equations 1, 2, and 3, then we have
4∠B + 7° + ∠B + ∠B + 11° = 180°
6∠B = 162°
∠B = 27°
The measure of the angle ∠B of the triangle ABC will be 27°.
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Which of the following does not represent a function? Explain why you chose the answer. I will mark you brainliest!!!
Table B and C
In Table B, the X coordinate of -3 has two different answers which is impossible in a function because it only has one output or one answer which is y.
In Table C, the X coordinate of 0 also has two different outputs or two different answers, and with a function, there is only one y coordinate for each X coordinate.
Find the radius of the circle with:
Knowing a circle's circumference can be used to calculate its radius, which is given by the formula r = c / (2 * π ). If you know the diameter, D, you may calculate the radius, R, which is equal to D divided by 2.
How do you find the radius of a circle?If you know the area A, then you can calculate the circle's radius using the formula r = (A / π).Knowing the circumference, c, will allow you to calculate the radius, r, which is equal to c / (2 * π).If you know the diameter d of a circle, you can calculate its radius by multiplying it by 2.This eliminates the need for you to select the radius of a circle formula you require.For Example
Circumference c = 26.8in
Area A = 57.156
Diameter = 8.5307
Radius of the circle Radius r = 4.26535.
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Write 72/50 as a percentage.
Answer:
144%
Step-by-step explanation:
I hope this helps you
Choose the function that represents the data in the table. Y = 3x + 2 y = 3x2 + 2 y = y = 3x + 2.
The function that represents the data in the table is 3x²+2. The correct answer is B.
The quadratic function is shown in the data table.
We must ascertain the function's equation.
The quadratic equation's generic form is
Let's replace the general form with the three coordinates (1,5, (2,14), and (3,29).
We therefore have;
a+b+c =5——— (1)
4a+2b+c= 14——— (2)
9a+3b+C =29------(3)
When (2) is subtracted from (1), we have;
9= 3a+b(4)
Subtracting (3) from (2) gives us;
15= 5a +b(5)
Subtracting (5) from (4) gives us;
6= 2a
3= a
As a result, the value of an is 3. When we replace this value in equation (4), we obtain;
3(3)+b= 9
b= 0
When a = 3 and b = 0 are substituted in equation (1), we obtain;
a+b+c =5
3+0+c=5
c=2
As a result, c has a value of 2.
As a result, when we substitute a = 3, b = 0, and c = 2 in the quadratic equation's general form y =ax²+bx+c, we obtain;
3x²+2
Consequently, the function that symbolizes the information in the table is 3x²+2
As a result, Option B is the right response.
Your question is incomplete but maybe your full question attached below
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Which of the following is the correct solution for the equation 5t 3 3t 5?A. -1B. -2C. 1D. 2
The solution for the equation 5t - 3 = 3t - 5 is when value of t is equal to -1.
Therefore the answer is A. -1.
To find the solution, you can start by isolating the variable t on one side of the equation by adding 3 to both sides and subtracting 3t from both sides:
5t - 3 + 3 = 3t - 5 + 3
5t = 3t - 2
Then subtract 3t from both sides:
5t - 3t = 3t -2 - 3t
2t = -2
Finally, divide both sides by 2 to solve for t:
t = -2/2
t = -1
So, the value of t that satisfies the equation 5t - 3 = 3t - 5 is -1.
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The mobile company charges $180 for an hour of service. How many dollars are customers charged every minute?
Answer: $3
Step-by-step explanation:
Since the company charges $180 for an hour of service, we can say that it charges $180 for 60 minutes of service.
Let the cost of service per minute be C
The equation would be
60C = 180
Simplify, and you'll get
C = 3
And there's your answer.