The value of the expression 8x² + 6x - 8 below when x=2 is 36.
The value of the expression when x = 2The expression can be evaluated by following the steps below:
8x² + 6x - 8 in x = 2 means that the variable x will be replaced by the given number which is 2.
8*2² + 6*2 - 8
8*4 + 12 - 8
32 + 16 - 8 = 36
This therefore means that when x= 2 in 8x² + 6x - 8 , the value gotten will be 36.
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Aponi is a member of the Shoshone Native American Indian
tribe. Her name means "butterfly." Aponi uses beads to make
hair barrettes with a butterfly design. The number of beads she
uses is proportional to the number of hair barrettes she makes.
Aponi graphs a line that shows the number of hair barrettes
she makes and the total number of beads she uses. Two
points on the line are (2, 150) and (5, 375).
What does the slope of the line mean in this situation?
O Aponi uses 45 beads to make each hair barrette.
Aponi uses 75 beads to make each hair barrette.
Aponi uses 150 beads to make each hair barrette.
O Aponi uses 225 beads to make each hair barrette.
A line that shows the number of hair barrettes she makes and the total number of beads she uses is y = 75x.
What is the graph's line's equation?In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, you must first determine the slope and y-intercept. The slope is the ratio of the change in y to the change in x. Find two locations on the line, and then draw a sloping triangle joining them.
What is the name for a straight line?A line is a perfectly straight, one-dimensional figure that extends infinity in both directions and has no thickness. To stress that a line has no "wiggles" anywhere along its length, it is sometimes referred to as a straight line or, more archaically, a right line.
Two points on the line are (2, 150) and (5, 375)
y - 150 = ( (375-150) / (5-2) ) (x-2)
y - 150 = 75 (x-2)
y = 75x
Equation of line is y = 75x
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What is a triangle with 2 congruent sides and an obtuse angle
Answer:What is a triangle with 2 congruent sides and an obtuse angle
Step-by-step explanation:
graph f and h , write h in terms of f, describe the transformation from the graph of f to the graph of h .
the equation :
f(x) = 2x ; h(x) = -2x
Divide or multiply the output by a constant to expand or contract the graph in the y direction.
What does f 2x do to a graph?
2f (x) is stretched by a factor of 2 in the y direction, and f (x) is contracted by a factor of 2 in the y direction (or stretched by a factor of ).
The y = f (x), y = 2f (x), and y = x graphs are shown here.
This is the difference quotient:
f (x + h) - f(x ) /h
quotient of difference
and f(x) = x3; thus, the difference quotient for this function is
(x + h)³ - x³ / h
quotient of difference.
The numerator can now be simplified by expanding (x + h)3 as (x + h)2(x + h), however I advise factoring (x + h)3 - x3 as a difference of cubes.
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elijah used 3/4 of the memory on his cell phone memory card if the memory card can hold 32 gigabytes how many gigabytes did elijah used
Elijah used 24 gigabytes memory on his cell.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Elijah used 3/4 of the memory on his cell phone memory card.
And, The memory card can hold 32 gigabytes.
Now,
Since, The memory card can hold 32 gigabytes.
And, She used 3/4 of the memory on his cell phone memory card.
Hence. The used memory = 3/4 of 32
= 3/4 × 32
= 3 × 8
= 24 gigabytes
Thus, Elijah used 24 gigabytes memory on his cell.
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hazar is having 4 friends over to play video games. Each person will spend $6 on game rental and $4 on drinks and snacks, Write two expressions for the total cost for hazar and his friends
Answer: Here are two possible expressions for the total cost for Hazar and his friends:
The first expression is to add the cost of game rental and drinks and snacks for all the four friends
6x + 4x =10x where x is the number of friends
Second expression is to calculate the cost for each of the 4 friends and then add it together
(6 + 4) * 4 = 40
Both the expressions represent the same outcome, that is the total cost of $40 for Hazar and his friends to play video games.
It's depend on how you want to represent it, both are correct and represents the same outcome.
Step-by-step explanation:
a copy machine can make 500 copies every 4 minutes. how many minutes per copy?
Answer:
125 per minute.
Step-by-step explanation:
To get this answer, you simply need to divide 500 (the amount that it can make it 4 minutes.) by 4. (The amount of time it takes to make 500 copies.)
You get the answer 125.
2. Avea checked out 18 books
from the library. Half of them
are nonfiction. How many
nonfiction books did she check
out?
Answer: she checked out 9 nonfiction books
Step-by-step explanation:
18-9=9
Which of the following is the slope of the line y - 3x =0
Answer:
-3
Step-by-step explanation:
Answer: The slope whould be 3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept:
(0,0)
x|y
----
0|0
1|3
A shopper buys cat food in bags of 33 lbs. Her cat eats \frac{3}{4}
4
3
lb each week. How many weeks does one bag last?
Total of 44 weeks does one bag last.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator
Total amount of cat food = 33 lbs in one bag
Amount of food cat eats each week = 3/4 lb = 0.75 lb
Number of weeks one bag of cat food last = 33 / 0.75
= 44
Hence one bag of cat food will last for 44 weeks.
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what is the quotient of g and 25
Answer:
the quotient of g and 25 is g/15.
Find a quartic function
The quartic equation y = x⁴ - x³ - 5 · x² - x - 6 has x = - 2 and x = 3 as its only real zeros. (Correct choice: C)
What quartic equation contains a given set of zeros?
Quartic equations are polynomials of grade 4, whose standard form is described below:
y = a · x⁴ + b · x³ + c · x² + d · x + e
Where a, b, c, d, e are real coefficients. A value of x is a zero of a polynomial when the result is equal to zero. The quickest way to find the polynomial is by evaluating each expression at x = - 2 and x = 3:
x = - 2
y = (- 2)⁴ - (- 2)³ - 5 · (- 2)² - (- 2) - 6
y = 16 + 8 - 20 + 2 - 6
y = 0
x = 3
y = 3⁴ - 3³ - 5 · 3² - 3 - 6
y = 81 - 27 - 45 - 3 - 6
y = 0
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The dollar value v (t) of a certain car model that is t years old is given by the following exponential function. v (t) = 26,000 (0.84)¹ Find the value of the car after 7 years and after 12 years. Round your answers to the nearest dollar as necessary. Value after 7 years: Value after 12 years: $0
I think it's 84 I'm not good with math though I multipled 7 and 12
PLS HELP ME!!!
COSINE RULE I THINK!!
please explain in some detail and will mark brainliest
Answer:
Step-by-step explanation:
if there is any triangle ABC and a,b,c are sides opposite angles A,B,C respectively , then
[tex]cos~A=\frac{b^2+c^2-a^2}{2bc} \\cos~B=\frac{c^2+a^2-b^2}{2ca} \\cos~C=\frac{a^2+b^2-c^2}{2ab}[/tex]
B=101
a= 3 cm
b=y
c=1 cm
use formula for cos B
cos 101=cos(90+11)=sin 11
[tex]-sin~11=\frac{1^2+3^2-y^2}{2 \times 3 \times 1} \\-6 \times sin~11=1+9-y^2\\y^2=10+6~sin~11\\y^2\approx 10+6\times 0.1908\\y^2 \approx11.1448\\y\approx3.338[/tex]
Answer:
2.16
Step-by-step explanation:
To find the length y:
Since we have an angle with two sides next to it, it is 'cosy', so we can use the cosine rule to find y. Let's make y = a for the formula.
Using the cosine formula:
a^2 = b^2 + c^2 - 2bc cos(A)
where b=1, c=3 and A=101
substitute these values in the formula:
a ^2 = 1^2 + 3^2 - 2(1)(3) × cos(101)
a ^2 = 4.647970...
Square root to find a:
a = √4.647970...
a = 2.16
thus, y = 2.16 to 3sf
Which graph represents the system of linear inequalities?
2x+y<1
y≥12x+2
The graph of the system of linear inequalities 2x + y < 1 and y ≥ 12x + 2 is attached.
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Inequalities is used for the non equal comparison of numbers and variables.
The graph of 2x + y < 1 and y ≥ 12x + 2 is attached.
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im getting confused on this part, i wasnt there the day for class to do this stuff
From the graph, it can be seen that it took 4 days to mow 30 lawns. 12 lawns can be mowed in 1 days.
A graph is what?Analyzing numerical data can be done using graphical representation. It uses a diagram to show the relationship between the data, ideas, information, and concepts. One of the most crucial learning strategies, it is also simple to understand. The kind of information in a particular domain is always a factor.
What are some examples of graphs?Examples include pictures, sketches, line art, graphs from mathematics, charts, diagrams, typography, numbers, symbols, geometric patterns, engineering drawings, or other images. Often, text, illustration, and color are combined in graphics.
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Divide the polynomials. If there is a remainder, enter the remainder in fraction form. x^4+3x^3-x-2/x+1
The polynomial x⁴ + 3x³ - x - 2 will have a remainder of 1 when divided by x + 1 and the result can be written in the form (x³ + 2x² + 2x - 3) + 1/(x + 1).
How to divide the polynomialUsing the long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder
We shall divide the polynomial x⁴ + 3x³ - x - 2 by x + 1. as follows;
x⁴ divided by x equals x³
x + 1 multiplied by x³ equals x⁴ + x³
subtract x⁴ + x³ from x⁴ + 3x³ - x - 2 will result to 2x³ - x - 2
2x³ divided by x equals 2x²
x + 1 multiplied by 2x² equals 2x³ + 2x²
subtract 2x³ + 2x² from 2x³ - x - 2 will result to 2x² - x - 2
2x² divided by x equals 2x
x + 1 multiplied by 2x equals 2x² + 2x
subtract 2x² + 2x from 2x² - x - 2 will result to -3x - 2
-3x divided by x equals -3
x + 1 multiplied by -3 equals -3x - 3
subtract -3x - 3 from -3x - 2 will result to a remainder of 1.
Therefore, the polynomial x⁴ + 3x³ - x - 2 divided by x + 1 gives a quotient x³ + 2x² + 2x - 3 and a remainder of 1 and can be written as (x³ + 2x² + 2x - 3) + 1/(x + 1).
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Miguel is playing a game in which a box contains four chips with numbers written on them. two of the chips have the number 1, one chip has the number 3 and the other chip has the number 5. Miguel must choose 2 chips, if both chips have the same number, he wins $2, if the 2 chips he chooses have different numbers he loses $1 (-1).
Let X = the amount of money Miguel will receive or owe.
Miguel only wins $2 in one of the six tournaments, and he only loses $1 in the other five.
what is probability ?Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a large group of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.
given
We identify the chips so that we can check all six events. Let's say two chips each have a designated 1: R1 and B1 (as if they were red and blue). Let's now consider all possible combinations.
There are 4 options for the first chip, and 3 options remain for the second chip.
There are 12 combinations as a result. There are just six combinations since we don't care about the sequence; for instance, R1, 3 is the same as R1, 3 to us. (R1, B1), (R1, 3), (R1, 5), (B1, 3), and (B1, 5) are the combinations (3,5) Miguel only wins $2 in one of the six tournaments, and he only loses $1 in the other five.
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For the following data set, find Q1, Q2, Q3 and the interquartile range.
15, 12, 23, 15, 7, 8, 21, 10, 12, 14, 16, 24, 19
Answer: q1=11 q2=15 q3=20
Step-by-step explanation:
A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags. What is the estimated revenue, in dollars, when the bags are priced at $13 each?
Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:
10 fewer bags per $1 increase * $2 increase = 20 fewer bags
To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:
100 bags - 20 fewer bags = 80 bags
To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:
80 bags * $13 per bag = $1040
So the estimated revenue when the bags are priced at $13 each is $1040
Step-by-step explanation:
3y+2=2x is this a direct variation
The equation 3y + 2 = 2x is not a direct variation
How to determine if the equation is a direct variation
From the question, we have the following parameters that can be used in our computation:
Variation = direct variation
3y + 2 = 2x
A direct variation is represented as
y = kx
Where k is the constant of proportion
When the equations y = kx and 3y + 2 = 2x are compared, we can see that
The equation 3y + 2 = 2x has a constant term
Hence, the equation is not a direct variation
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What’s the pattern? You start with 14 and a half, but then you get 12 and three fourths. How does that happen?
In math, a pattern is defined as a sequence of repeating objects, shapes or numbers. We can relate a pattern to any type of event or object.
What’s the pattern?A pattern has a rule that identifies the items that are part of the pattern and those that are not. A pattern in mathematics is a series of recurring figures, shapes, or numbers.
Any kind of event or thing can be connected to a pattern. A pattern has a rule that identifies the items that are part of the pattern and those that are not. A specific set of rules must be taken into account in order to create a full pattern.
We must first comprehend the nature of the sequence and the distinction between the two successive numbers provided in the pattern in order to apply these rules.
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16. The side length of a square ABCD is 18 inches. What is the side length of the square formed by joining the
midpoints of the sides of ABCD, to
the nearest tenth?
Therefore , the solution of the given problem of square comes out to be the ABCD square is 18 inches
what is the side of length of square ABCD?The side length of a square ABCD is 18 inches Each side of square ABCD is 18 inches The midpoints of ABCD are joined to form a square MNOP The figure is attached below
Here,
We need to find the side length of square MNOP
AMN form a Right angle triangle
We know AM =9 and AN= 9
To find MN , use Pythagoreans theorem
MN2=AM2+AN2
MN2=9square+9 square
MN2=162
Take square root on both sides
MN=9 root 2
so the side of the square MNOP is 9 square root 2 inches
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Prove that limx→2. 1/1-x= -1 using the definition of limit .
Answer:
1332
[tex]7x))742 \sqrt[ \sqrt[241]{?} ]{?} [/tex]
Answer:
Refer to the step-by-step.
Step-by-step explanation:
[tex]Given:\\ \lim_{x\to \22} \frac{1}{1-x}[/tex]
Plug in the value of 2 in for x. We get,
⇒ [tex]\frac{1}{1-(2)}[/tex] ⇒ [tex]\frac{1}{-1}[/tex] ⇒ -1
So, [tex]\\ \lim_{x\to \22} \frac{1}{1-x} = -1[/tex]
2. Solve for x. Show your work.
45x 4 = 642x+12
The value of x for the equation 4(5x - 4) = 64( 2x + 12) is x = -7.25
What is equation ?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
4(5x - 4) = 64(2x + 12)
20x - 16 = 128x + 768
20x - 128x = 768 + 16
-108x = 784
x = -7.25
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is y= 2x3 an exponential function?
Answer:
No it is not an exponential function
Use the defined variables for the verbal model to write an equation in slope-intercept form that relates the variables.
$2/pound × Pounds of peaches + $1.50/pound × pounds of apples = $15
Let x represent the number of pound of peaches.
Let y represent the number of pounds of apples.
An equation is y = ___
Graph the equation.
An equation is y = -4x/3 + 10.
A graph of the equation is shown in the image attached below.
How to write an equation to model this situation?In order to write and graphically solve an equation that model this situation, we would assign variables to the number of pound of peaches and number of pounds of apples respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of pound of peaches.Let the variable y represent the number of pounds of apples.Next, we would translate the word problem into an algebraic equation as follows;
$2/pound × Pounds of peaches = 2x.
$1.50/pound × pounds of apples = 1.50y
Combining the two expressions above, we have the following:
2x + 1.50y = 15
Making y the subject of formula, we have:
1.50y = 15 - 2x
y = (15 - 2x)/1.50
y = -4x/3 + 10
Therefore, an equation in slope-intercept form that relates the variables is y = -4x/3 + 10.
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jane used $68 more than two fifths of her last paycheck to purchase a new surfboard. If the surfboard cost $289, find the amount of her paycheck.
Answer: Let x be the amount of Jane's paycheck.
We know that:
surfboard cost = $289
and jane used $68 more than two fifths of her last paycheck to purchase a new surfboard.
So we can set an equation as:
surfboard cost = 2/5 x + $68
289 = 2/5 x + 68
Now we can substitute the known value in the above equation:
289 = 2/5 x + 68
221 = 2/5 x
x = (2215) / 2 = 115 = 55
So the amount of her paycheck is $55.
Therefore, jane's last paycheck was $55.
Step-by-step explanation:
4 1/2 pt=___c
Help me pleaseeeeeee
Answer:
9 cups
Step-by-step explanation:
1 pt = 2 c
4 1/2 x 2 = 9 c
please help me plsssssssssssssss
Answer:
this should help you out
Find the value of x.
Answer: x = 4
Step-by-step explanation:
Based on the given distances and angle measures, DE is congruent to XY, DF is congruent to ZX, and EF and ZY are congruent.
This means that:
[tex](4x-1)=15[/tex]
Simplify and solve for x.
[tex]4x-1=15\\4x=16\\x=4[/tex]
So, x = 4