Answer:
y = 2/3x + 2
Step-by-step explanation:
Slope intercept form is y=mx+b where m is the slope and b is the y intercept.
Given 2 points you can find the slope using (y-y1)/(x-x1)
m = (-2-4)/(-6-3) = -6/-9 = 2/3
To find b use one of the points and m and plug into the slope intercept form and then solve for b.
y=mx+b
4=2/3(3) + b
4=2 + b
b=2
Now we can write the final equation as : (plug m and b back in)
y = 2/3x + 2
To write in slope-intercept form, we must first find the slope.
[tex]Slope = \frac{y2-y1}{x2-x1} =\frac{4-(-2)}{3-(-6)} =\frac{6}{9}=\frac{2}{3}[/tex]
Now lets put into the point-slope form which requires the use of any one of the two points given which in this case can be (3,4) and the slope 2/3
[tex]y - y_{0} =m(x-x_{0} )\\y-4=\frac{2}{3} (x-3)\\[/tex]
Now to put into the slope-intercept form, we must solve for y:
[tex]y - 4 = \frac{2}{3} x -2\\y = \frac{2}{3} x +2[/tex]
Hope that helps!
What is the solution for this equation?
-½n² + 18 =0
n= ____
Answer: n=6
Step-by-step explanation:
First you subtract 18 from both sides so that it become -1/2n^2=-18
Second divide both sides by -1/2 so it becomes -18/(-1/2)=n^2
Then you simplify and get n^2=36
Finally you find the square root of both side, and you get n=6
if f(x)=2^x and g(x)=x-4. The graph of (fog)(x) is shown below. What is the range of (fog)(x)?
Answer:
C) [tex]y > 0[/tex]
Step-by-step explanation:
[tex]f(x)=2^x\\\\g(x)=x-4\\\\(f\circ g)(x)=f(g(x))=f(x-4)=2^{x-4}[/tex]
This means that the parent function, [tex]f(x)=2^x[/tex], will shift 4 units to the right along the x-axis, so this DOES NOT affect the range (nor the domain either). Thus, [tex]y > 0[/tex] would be the range.
Sammy is making a Cartesian plane in math class. She needs to draw all of the quadrants. How many quadrants are in a Cartesian plane?
Answer:
4
Step-by-step explanation:
There is 4 quadrants in a Cartesian Plane.
Simplify by combining like terms. 8a3 + 9t + 7a3 + 6t + 8a2
Step-by-step explanation:
8a3 + 9t + 7a3 +6t + 8a2
8a³+7a³+8a²+9t+6t
15a³+8a²+15t
Given f(x)=6(1-x what is the value of f(-8)
Answer:The value of f(-8)=54
Step-by-step explanation:
you do the stuff in the parentheses first. When you subtract a negative number you actually add that number So it's 6 (1+8) 1+8=9. 6(9)=54
Which graph correctly represents f (x) = 3 ?
2
Answer:
I can't read some of the problem
What is the product? (x+3)(2x-1)
[tex] {2x}^{2} - 3[/tex]
[tex] {2x}^{2} + 6x[/tex]
[tex] {2x}^{2} + 5x - 3[/tex]
[tex] {2x}^{2} + 6x - 3[/tex]
Step-by-step explanation:
x(2x-1)+3(2x-1)
2x^2-x+6x-3
2x^2+5x-3
Answer:
2x^2+5x‒3
Step-by-step explanation:
(x+3)(2x‒1)=x(2x‒1)3(2x‒1)
=2x^2‒x+6x‒3
=2x^2+5x‒3
i hope &i wish it helps you
Jim is putting money into a savings account. He starts with $350 in the savings account, and each week he adds $60.
Let S represent the total amount of money in the savings account in dollars), and let W represent the number of weeks Jim
has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the
savings account after 16 weeks.
Equation:
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Answer:
S= 350+60w
Step-by-step explanation:
can someone please explain? lol
Answer:
10.235 in²225 cm²Step-by-step explanation:
The area of a triangle is half the product of its base and height.
A = 1/2bh
a)A = 1/2(2.3 in)(8.9 in) = 10.235 in²
__
b)A = 1/2(15 cm)(30 cm) = 225 cm²
Evaluate -4|-4|.
0-8
8
16
-16
9514 1404 393
Answer:
-16
Step-by-step explanation:
The absolute value function gives the positive value of the argument, so this is ...
-4|-4| = -4·4 = -16
Chris bought 39 items at a yard sale for $9.75 each. About how much did he spend in all? (Use estimation)
Answer:
$390
Step-by-step explanation:
If you are going to estimate, you should round to the nearest one (for a whole number answer), so we would round $9.75 to $10.
39*$10 = 390
Estimate: $390
Exact answer: $380.25
(if you need it)
if h(x) = x^2-5x+7 find each value
1/3*h(-8)
if h(x) = [tex]x^{2} -5x+7[/tex] so the value of [tex]\frac{1}{3}[/tex]× [tex]h(-8)[/tex] = [tex]\frac{111}{3}[/tex].
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in other languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that result in equality is the first step in solving an equation with variables. The variables that must be included in the equation are also known as the unknown.
we have h(x) = [tex]x^{2} -5x+7[/tex]
So, substitute the value [tex]x=-8[/tex] in the equation,
h([tex]-8[/tex]) = [tex](-8)^{2} -5(-8)+7[/tex]
= [tex]64+40+7[/tex]
= [tex]111[/tex]
And now we shall multiply it with [tex]\frac{1}{3}[/tex],
we get, [tex]\frac{1}{3}[/tex]× [tex]h(-8)[/tex] = [tex]\frac{111}{3}[/tex]
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A package of 5 pairs of insulated gloves costs $43.95. What is the unit price of the pairs of gloves?
Answer:
5.89 dollars
Step-by-step explanation:
To find the unit price, we use t/q where t is the total price and q is the quantity.
Therefore, it costs 5.89 dollars for a pair of gloves.
The unit price of the pair of gloves will be $8.79 for each pair of gloves.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A package of 5 pairs of insulated gloves costs $43.95. Then the unit price of the pairs of gloves is calculated as,
Rate = $43.95 / 5
Rate = $8.79 for each pair of gloves
The unit price of the pair of gloves will be $8.79 for each pair of gloves.
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Please helppp
Answers:
-6.5*C/km
-0.29 *C/km
-3.5 *C/km
-0.15 *C/km
Answer:
C
Step-by-step explanation:
I need help I didn't pay attention in class now I am lost.
If 2 pints = 1 quart, how many pints are in a 26-quart container
Answer:
52 pints
Step-by-step explanation:
Given;
2 pints = 1 quart
To Find;
How many pints are in a 26-quart container
Solve;
Since 2 pints = 1 quart
Then the Formula = divide the volume value by 2
The equation for 2 pints = 1 quart is 2 ÷ x = 1
which x = 2.
Thus, the equation for 26 quart container = how many pints =
x ÷ 2 = 26
Divide/Multiply sides by 2
2x/2 = 26 * 2
Simplify
x = 52
Hence, there are 52 pints in a 26 quart container
~Learn with Lenvy~
Classify each expression by degree and by number of terms. Some answers may be used once and some way not be used at all so make sure you read carefully
Answer:
899
Step-by-step explanation:
+
Mike can run 1/2 mile in 1/15 of an hour. How many miles can mike run in 1 hour?
i need answer fast
On Monday, Jolene played basketball and made 75% of the shots she took. If she missed 7 shots, how many shots did she take? Show your work.
Answer:
She took 28 shots, 7 shots would be the remaining 25% so you multiply it by 4 to get 100% or 7 × 4 = 28
missed shots = 7 = 25% since 75% are successful
proportionality table
25% ...............7
100% ........... = 7 x 100% : 25% = 28
total = 28 shots
Pls help
Find the area
Answer:
240 square feet
Step-by-step explanation:
The area of a composite figure can be found by adding the areas of its parts.
__
Extending the vertical line across the figure cuts off a rectangle on the left that is 18 ft long and 10 ft high. It cuts off a triangle on the right that has a base of 20 ft and a height of 24-18 = 6 ft.
The sum of the areas of these parts is ...
rectangle area + triangle area
= (10 ft)(18 ft) +1/2(20 ft)(6 ft) = 180 ft² +60 ft²
= 240 ft² . . . . area of the figure
_____
Additional comment
You can see that this is the product of the height of the rectangle and the overall length of the figure. This means the smaller triangles that stick above or below the horizontal lines would fit exactly into the spaces at the tip of the arrow, filling in a 10 ft × 24 ft rectangle.
Subtracting a number is the same as adding it’s opposite. Use the his understanding to complete each of the equations below.
Do you have the problems that need completing?
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price $40.00 Rate of Sales Tax 3% Sales Tax ?
Answer:
tax: $1.20total cost: $41.20Step-by-step explanation:
The sales tax is found by multiplying the tax rate by the item price. The total cost will be the sum of the item price and the tax.
__
tax = 0.03 × $40 = $1.20
total cost = selling price + tax = $40 +1.20 = $41.20
What is 98 square inches to inches
Answer:
9.8995 inches
hopefully this helps
Use the inductive reasoning to find the next two numbers in each pattern.
-4,-2,0,2,____,____
What is the standard form polynomial that represents this product? (-2m^3 + 3m^2 - m)(4m^2 + m - 5)
Answer:
-8m^5+10m^4+9m^3-16m^2+5
Step-by-step explanation:
PLATO
The standard form is ( -8m⁵+10m⁴+9m³-16m²+15m ).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The expression will be solved as:-
E = ( 3m² - m )( 4m³ + m - 5 )
E = -8m⁵ - 2m⁴ + 10m³ - 15 m² - 4m³ - m² + 5m
E = ( -8m⁵+10m⁴+9m³-16m²+15m ).
Therefore, the standard form will be ( -8m⁵+10m⁴+9m³-16m²+15m ).
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which describes the graph of y=-(x+1)^2-4? a. minimum at (-1,-4) b. maximum at (1,-4) c. maximum at (-1,-4) d. minimum at (1,-4)
Answer:
c. maximum at (-1,-4)
Step-by-step explanation:
just took a quiz
The graph has its maximum at (-1, -4).
y=-(x+1)^2-4
Maximum of the equation is to determine.
A cross section of the cone and represented by an equation y=4ax^2.
Here,
y=-(x+1)^2-4
While plotting the curve, the curve is maximum at (-1, -4) beside this point curve is decreasing.
Thus , the graph has its maximum at (-1, -4).
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is the division of two whole numbers is always a non-integer rational number?
Answer:
Every quotient of two integers is always a rational number but not always an integer
Step-by-step explanation:
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What is the future value for a 300 deposit earning 4% compounded int for 2 years
Hello
300 x 1.04 ² = 324.48
You are making a blanket with a fringe border of equal width on each
side. (Section 7.1 and Section 7.2)
Answer:
Step-by-step explanation:
There are 27 marbles in a blue jar. The blue jar has 9 times as many marbles as a red jar. Let n be the number of marbles in the red jar.
Answer:
n = 2.7
Step-by-step explanation:
Set up an algebraic expression: 9n + n = 27Combine like terms: 10n = 27Divide each side by 10 to cancel out the 10 next to n. It should now look like this: n = 2.7I really hope this helps!