Factor out the GCF from the polynomial.
r(2²-24) + (2²-24)

Answers

Answer 1

Answer: -20

Step-by-step explanation: i hope its right


Related Questions

Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 45 quarts of 4% butterfat milk. Find how many quarts of 6 % butterfat milk and 3 % butterfat milk should be mixed to yield 45 quarts of 4 % butterfat milk . ​

Answers

Answer:

See below

Step-by-step explanation:

x = amount of 6% milk....   amount of fat = .06x

45-x = amount of 3% milk ...amount of fat = .03 (45-x)

Amount of fat in final mix of 45 quarts = .04 (45)

Inputs = output

.06x     +   .03(45-x)     =    .04(45)

.06x   +    1.35 - .03x     =  1.8

.03x = .45

x = 15   quarts of 6%      then  30  quarts of 3%

Okay last question, I’ll mark brainliest whoever gets it correct first

Answers

Answer:

Angle ABC = 112°

Step-by-step explanation:

THAT IS CORRECT TRUST ME

Answer: ∠B = 112°

Step-by-Step Explanation:

We know, in a Parallelogram the angles on the same side of the Transversal are Supplementary (add up to 180°).

∠A and ∠B add up to 180°

∠A = 68°
∠B = Unknown

Therefore,
∠A + ∠B = 180°
68° + ∠B = 180°
∠B = 180° - 68°
=> ∠B = 112°

For a parallel structure of identical​ components, the system can succeed if at least one of the components succeeds. Assume that components fail independently of each other and that each component has a 0.21 probability of failure. Complete parts​ (a) through​ (c) below.
Would it be unusual to observe one component​ fail? Two​ components?
It

would not
would
be unusual to observe one component​ fail, since the probability that one component​ fails,

enter your response here​, is

less
greater
than 0.05. It

would not
would
be unusual to observe two components​ fail, since the probability that two components​ fail,

enter your response here​, is

greater
less
than 0.05.

Answers

Using the probability concept, we have that:

a) It would not be unusual to observe one component​ fail, since the probability that one component​ fails is greater than 0.05.

b) It would be unusual to observe two components​ fail, since the probability that two components​ fail is less than 0.05.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes. If a probability is less than 0.05, the event is considered unusual.

In this problem, the probabilities are given as follows:

0.21 probability that one component fails, hence not unusual.(0.21)² = 0.0441 probability that two components fail, hence unusual.

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Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?
f(x) = -x²-8x-16
f(x) = -x² +8x-16
f(x)=x²-8x + 16
f(x) = -x² + 8x + 16
Mark this and return
Save and Exit
Next
Subm

Answers

Answer:abc and d

Step-by-step explanation:

trust me I took the dum test

Kylee is playing a game she has to receive more than 20 points average of five games to move onto the next level which inequality represents the situation is T represents the total number of points Kylee earned for five games

Answers

Answer:

25

Step-by-step explanation:

bc i guess

Which results only in a horizontal compression of Y=1/x
by a factor of 6?

Answers

Step-by-step explanation:

[tex] y = \frac{1}{x} [/tex]

In order to compress by a factor of 6, we multiply the variable x by 6. It would compress the hyperbola

[tex]y = \frac{1}{6x} [/tex]

whats the GCF of x^6 and x^4​

Answers

x4
no cap in my rap im da mf truth + yb better + ratio bozo

A $1,000.00 bond at 85 1/4 % pays 6.8 % annual interest. Calculate cost of bond.

Answers

Based on the par value of the bond and the percentage it was issued at, the cost of the bond is $852.50.

What is the cost of the bond?

The current cost of the bond is the present value of the bond's cashflows and its par value.

This is taken into account when the bond is issued at a certain percentage which in this case is 85 ¹/₄%.

The cost of the bond is:

= 1,000 x 85 ¹/₄%

= $852.50

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which law would you use to simplify the expression....​

Answers

Answer:

power of a power

Step-by-step explanation:

the power of a power law says that, "if a base raised to a power is being raised to another power, the exponents are multiplied and the base remains the same."

for example, for this problem, you would do:

[tex](x^4)^9\\= x^4^*^9\\= x^3^6[/tex]

Out of 2,000 high school seniors, 191 were enrolled into Honor Society.What percentage of the entire group of 2,000 seniors were in Honor Society?PLEASE EXPLAIN
A.0.955%
B.1.91%
C.9.55%
D.19.1%

Answers

Divide number in honor society by total students:

191/2000 = 0.0955

Multiply by 100 to get percent:

0.0955 x 100 = 9.55%

Answer is C. 9.55%

Solve -6 < 2x + 4 ≤ 16

Answers

Answer:

Step-by-step explanation:

Solve -6 < 2x + 4 ≤ 16

To solve for x, we need to simplify the statement.

let's get rid of the 4 that is added to 2x.

do that by subtracting 4 on all sides (3 sides).

-6 - 4 < 2x + 4 - 4 ≤ 16-4

We get: -10 < 2x ≤ 12

Now, let's get rid of the 2 that gets multiplied to x.

do that by dividing all sides by 2.

-10 : 2 < 2x : 2 ≤ 12 : 2

We get: -5 < x ≤ 6

X = {-4,-3,-2,-1,0,1,2,3,4,5,6}

Hope I helped!

John can ride his bicycle at a rate of 14 miles per hour. Convert this rate to feet per second_
O 250.33 feet per second

Answers

Answer:

Step-by-step explanation:

Givens

r = 14 miles / hour

Problem

Convert to feet per second.

Solution

Later on, you will learn how to solve these kinds of conversion problems using a method called Unit Analysis. Since you likely have not been taught this method, will just use proportions.

1 mile = 5280 feet

14 miles = x                          Cross multiply

x = 14 * 5280                       Simplify

x = 73920 feet

1 hour = 3600 seconds

Answer

r = 73920 feet / 3600 seconds

r = 20.533 feet  / secpmd

What is the inequality for this verbal description?
Kyle has d dollars to spend at the garden store. He wants to buy one small
tree for $9.00 and s pounds of soil that cost $5.00 per pound. Which
inequality represents this situation?
OA. d≥ 5s +9
OB. d> 5s +9
OC. d<9s +5
O D. d≥ 9s +5

Answers

Answer:

A) d [tex]\geq[/tex] 5s + 9

Answer:

A. d ≥ 5s + 9

Step-by-step explanation:

9.00 is fixed cost5.00 is cost per pound of soil

Hence, equation will be :

d ≥ 5s + 9 (As d must be greater than/equal to this value for Kyle to afford it)

What is the value of x?
E
(2x)°

D

Answers

Answer:

30°

Step-by-step explanation:

Since ED = FD, the ∠DEF = ∠EFD
Since ∠DEF = 2x, ∠EFD is also equal to 2x
The sum of the 3 angles of a triangle is 180°

So x + 2x + 2x = 180
6x = 180
x = 30

Write the equation using function notation f(x). then find f(0)

2x^2 - 3y = 6

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = -2[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 2 {x}^{2} - 3y = 6[/tex]

[tex]\qquad \tt \rightarrow \: 3y + 6 = 2 {x}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: 3y = 2 {x}^{2} - 6[/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{2 {x}^{2} - 6 }{3} [/tex]

[tex]\qquad \tt \rightarrow \: y = \cfrac{2 {}^{} }{3} {x}^{2} - 2[/tex]

[ here, y can be replaced with f(x) because y is a function of x ]

[tex]\qquad \tt \rightarrow \: f(x) = \cfrac{2 {}^{} }{3} {x}^{2} - 2[/tex]

[tex] \large\textsf{Find f(0):} [/tex]

[tex]\qquad \tt \rightarrow \: f(0) = \cfrac{2 {}^{} }{3} {(0)}^{2} - 2[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = 0 - 2[/tex]

[tex]\qquad \tt \rightarrow \: f(0) = - 2[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

TIME REMAINING
09:44
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4). Everything to the right of the line is shaded.

Which linear inequality is represented by the graph?

y ≥ One-thirdx – 4
y ≤ One-thirdx – 4
y ≤ One-thirdx + 4
y ≥ One-thirdx + 4

Answers

Since everything to the right of the line is shaded, the linear inequality which represents the graph is equal to: A. y 1/3x - 4.

How to determine the linear inequality?

In order to determine the linear inequality which represents the graph, we would find the slope of the given points.

Mathematically, the slope of a straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope = \frac{-4\;-\;(-5)}{0\;-\;(-3)}\\\\Slope = \frac{1}{3}[/tex]

Slope = 1/3.

From the standard equation, we have:

y - y₁ = m(x - x₁)

y - (-5) = 1/3(x - (-3))

y + 5 = 1/3x + 1

y = 1/3x + 1 - 5

y = 1/3x - 4

y 1/3x - 4.

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What are the similarities and differences between these data sets in terms of their centers and their variability?

Data Set A: 14, 21, 24, 28, 28, 35

Data Set B: 18, 19, 21, 25, 29, 32



Select from the drop-down menus to correctly complete the statements.

Comparing the centers of the data sets, the median for Data Set A is
Choose...
the median for Data Set B. The mean for Data Set A is
Choose...
the mean for Data Set B.

Answers

The median for Set A is (24+28)/2 = 26

The median for Set B is (21+25)/2 = 23

The mean for set A is (14+21+24+28+28+35)/6 = 25

The mean for set B is (18+19+21+25+29+32)/6 = 24.

Thus, the mean for Data Set A is greater than the mean for Data Set B.

y = 4/5 + square root x + 0.2 - 5x

Answers

Answer:

5

Step-by-step explanation:

How to find the a in the equation y=ax^3 + d given the two points (0,10), (2,20)

Answers

Answer:

[tex]y=\dfrac{5}{4}x^3+10[/tex]

Step-by-step explanation:

Given information:

[tex]y=ax^3+d[/tex](0, 10)(2, 20)

Create two equations by substituting the given points into the given equation:

Equation 1:  point (0, 10)

[tex]\implies a(0)^3+d=10[/tex]

[tex]\implies 0+d=10[/tex]

[tex]\implies d=10[/tex]

Equation 2:  point (2, 20)

[tex]\implies a(2)^3+d=20[/tex]

[tex]\implies 8a+d=20[/tex]

Substitute Equation 1 into Equation 2 and solve for a:

[tex]\implies 8a+d=20[/tex]

[tex]\implies 8a+10=20[/tex]

[tex]\implies 8a+10-10=20-10[/tex]

[tex]\implies 8a=10[/tex]

[tex]\implies \dfrac{8a}{8}=\dfrac{10}{8}[/tex]

[tex]\implies a=\dfrac{10}{8}[/tex]

[tex]\implies a=\dfrac{5}{4}[/tex]

Finally, substitute the found values of a and d into the original formula:

[tex]\implies y=\dfrac{5}{4}x^3+10[/tex]

Check by substituting the x-values of the two given points into the found equation:

[tex]x=0 \implies y=\dfrac{5}{4}(0)^3+10=10 \leftarrow \textsf{correct}[/tex]

[tex]x=2 \implies y=\dfrac{5}{4}(2)^3+10=20 \leftarrow \textsf{correct}[/tex]

y=ax³+d

Put(0,10)

10=a(0)³+dd=10

Now

Put again (2,20) this time

20=2³a+1010=8aa=10/8a=5/4

how do i work this out?

Answers

She has 45% of the original amount left

Ratio and proportions

Fractions are written as a ratio of two integers

Given the following

Initial amount. = ∈4000


Amount given to her sister = 1/4 * 4000 = 1000

Amount given to her brother = 40% of 3000 = 1200

Amount left = 4000 - (1000+1200)

Amount left = ∈1800

Determine the percentage left

x * 4000 = 1800

x = 1800/4000

x = 0.45

x = 45%

Hence she has 45% of the original amount left

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4. Write the equation of the line that passes through the points (3, 7) and (-1, 2)
in:
a. Point-slope form
b. Slope-intercept form

Answers

A . point-slope form I believe is the correct answer

Help me with this i need steps :c!

Answers

Answer:

The area of a triangle is 1/2 × base × height. 24 = 1/2 × 12 × height. Therefore height = 24/6 = 4 .

Answer:

8

Step-by-step explanation:

24=6*h/2

48=6*h

8=h

h is altitude

The length of a rectangle is 44 inches greater than twice the width. If the diagonal is 2 inches more than the​ length, find the dimensions of the rectangle.

Answers

Answer:

  18 inches by 80 inches

Step-by-step explanation:

The given relations can be used in conjunction with the Pythagorean theorem to find the rectangle dimensions.

__

setup

Let x and y represent the width and length of the rectangle, respectively. One of the relations is that between length and width:

  y = 2x +44 . . . . . length is 44 more than twice the width

The other relation is described by the Pythagorean theorem. The square of the diagonal is the sum of the squares of the length and width:

  x² +y² = (y +2)²

__

solution

Expanding the second equation, and subtracting y², we find ...

  x² +y² = y² +4y +4

  x² = 4y +4

Substituting for y using the first equation gives the quadratic ...

  x² = 4(2x +44) +4

  x² = 8x +180 . . . . . . . eliminate parentheses

  x² -8x +16 = 196 . . . . add 16 -8x to make perfect squares

  (x -4)² = 14²

We're only interested in the positive solution, so ...

  x = 4 +14 = 18 . . . . . . . . square root, add 4

  y = 2(18) +44 = 80

The dimensions of the rectangle are 18 inches wide by 80 inches long.

_____

Check

The diagonal is √(18² +80²) = √6724 = 82.

Abby used the law of cosines for TriangleKMN to solve for k.

k2 = 312 + 532 – 2(31)(53)cos(37°)

Triangle K N M is shown. The length of K N is 53, the length of N M is k, and the length of K M is n.

Law of cosines: a2 = b2 + c2 – 2bccos(A)

What additional information did Abby know that is not shown in the diagram?

mAngleK = 37° and n = 31
mAngleK = 37° and k = 31
mAngleN = 37° and n = 31
mAngleN = 37° and k = 31

Answers

Answer:

  m∠K = 37° and n = 31

Step-by-step explanation:

A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:

a² = b² +c² -2bc·cos(A)k² = 31² +53² -2·31·53·cos(37°)

Comparison

Comparing the two equations, we note these correspondences:

a = kb = 31c = 53A = 37°

Comparing these values to the given information, we see that ...

KN = c = 53 . . . . . . . . . . matching values 53NM = a = k . . . . . . . . . . . matching values kKM = b = n = 31 . . . . . . . matching values 31∠K = ∠A = 37° . . . . . . . matching side/angle names

Abby apparently knew that ∠K = 37° and n = 31.

__

Additional comment

Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.

Vertex and angle K are opposite side k, also called side NM in this triangle.

Can someone help me? I’ll give brainliest to whoever gets it right first

Answers

Answer:

72 Degrees

Step-by-step explanation:

We know that its 72 because of VAT, the vertical angle theorem.

Answer: 72°

Detailed Explanation:

In the figure the given angles are Vertically Opposite Angles. Vertically Opposite Angles are always Equal.

Therefore, x = 72°

How many square feet of tile is needed for a room of 24 foot x 24 foot

Answers

Answer:576

Step-by-step explanation:

24 squared is 576

Using a graphing calculator (or Desmos), graph the equation y = (x - 5)² + 2, describe the transformation.

Answers

Answer:

the graph has a parent function of f(x) = x²

The (x - 5)² tells us that the graph is shifted to the right 5 units.

The +2 tells us that the graph is shifted up 2 units.

Russell has been offered positions by two cable companies. The first company pays a salary of $17,000 plus a commission of $20 for each cable package sold. The second pays a salary of $14,300 plus a commission of $30 for each cable package sold. How many cable packages would need to be sold to make the total pay the same?

Answers

Russell has to sell 270 cable packages to make the total pay of both the companies as same.

Suppose that Russell sells x cable packages such that the total pay of both the companies is the same.

Then the revenue Russell would make at the first company is $17000+20x

And, the revenue Russell would make at the second company is

$14300+30x

Since, the above two values are equal

so, 17000+20x=14300+30x

⇒17000-14300=30x-20x

⇒10x=2700

⇒x=270

The above problems are called mathematical modelling.

Mathematical modelling is the process of locating such equations to explain actual occurrences.

These formulae are referred to as mathematical models together with the definitions given to the variables.

Therefore, Russell has to sell 270 cable packages to make the total pay of both the companies as same.

Learn more about mathematical modelling here-

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Find the value of x for which m||n

Answers

Answer:

x = 61

Step-by-step explanation:

Alternate exterior angles must be congruent for the lines to be parallel.

3x - 43 = 2x + 18

x = 61

Which of the following is a sum of cubes?

Answers

Answer:

x^3 + 8y^6

Step-by-step explanation:

Answer:

the answer is B !!!

Step-by-step explanation:

thank me later lol

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