Prove the polynomial identity.

(4x^2−2)^2−(4x^2)^2=4(1−2x)(1+2x)
Drag and drop the lines of the proof in the correct order to complete the proof.

164.50+37.50= 201.75

gtu

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Answer:

Step-by-step explanation:

The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...

  y -195 = 15(x -9)

__

The "one-time fee" is the cost when hours are zero.

  y -195 = 15(0 -9)

  y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate

The one-time fee is $60.

Given that

[tex]g(x) = x^3 + x[/tex]

the inverse [tex]g^{-1}(x)[/tex] is such that

[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]

or

[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]

Differentiating both sides using the chain rule gives

[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]

Then the derivative of f at 2 is

[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]

Answer:

yes your correct

Step-by-step explanation:

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Answer:

  a) x > -2

  b) 7 ≤ y

  c) n ≤ 20

  d) g ≥ 19

  e) -5 < w

Step-by-step explanation:

Recognize the following English translations:

  "no more than" means "less than or equal to" (≤)

  "at least" means "greater than or equal to" (≥)

With these translations and the ones shown in your figure, you have ...

  a) x > -2

  b) 7 ≤ y

  c) n ≤ 20

  d) g ≥ 19

  e) -5 < w

Answer:

15.18

Step-by-step explanation:

Carry on learning:)))

Answer:7 · 0 = 0 7 · 1 = 7 7 · 2 = 14

7 · 5 = 35 7 · 6 = 42 7 · 7 = 49

10 · 0 = 0 10 · 1 = 10 10 · 2 = 20

10 · 5 = 50 10 · 6 = 60 10 · 7 = 70

Step-by-step explanation:

Answer:

Domain: {-2, -1, 0, 1, 2}

Range: {-5, -1, 3, 7, 11}

Step-by-step explanation:

Given the function, f(x) = -4x + 3:

We could simply substitute the given x-values into the function to solve for its corresponding y-values:

x = -2:

f(-2) = -4(-2) + 3

f(-2) = 8 + 3

f(-2) = 11

x = -1:

f(-1) = -4(-1) + 3

f(-1) = 4 + 3

f(-1) = 7

x = 0:

f(0) = -4(0) + 3

f(0) = 0 + 3

f(0) = 3

x = 1:

f( 1 ) = -4( 1 ) + 3

f( 1 ) = -4 + 3

f( 1 ) = -1

x = 2:

f(2) = -4(2) + 3

f(2) = -8 + 3

f(2) = -5

Attached is a screenshot of the table containing the same solution displayed in this post.

Answer:

i  am

Step-by-step explanation:

pro!

uhfy1gujhqfvwtfu

Answer:

2 1/4 pizzas

Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4

Answer:

30

Step-by-step explanation:

because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180

Answer:

x ≤14.5

Step-by-step explanation:

4x+16≤74

Subtract 16 from the 74 and that gives you 58

Then divide each side by 4. 58/4=14.5

Hope this helps! sry if I get it wrong! :(

Answer: x ≤ 29/2

Explanation:

Subtract 16 from both sides

4x + 16 - 16 ≤ 74 -16

Simplify

4x ≤ 58

Divide both sides by 4

4x/4 ≤ 58/4

Simplify

x ≤ 29/2

Answer:

C) Quadrant 4

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The equation for this sentence is: 9 = 2(4y)

Answer:

Step-by-step explanation:

Two times the sum of a number and 4 equals 9:

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Answer:

  (a)  f(3) < g(3)

Step-by-step explanation:

Put the number where the variable is and do the arithmetic.

  f(3) = 4·3³ = 4·27 = 108

  g(3) = 3·4³ = 3·64 = 192

  108 < 192

  f(3) < g(3)

Answer:

15 Hours

Step-by-step explanation:

So you have one block, and your friend has two.

We know that you work for 3 hours, this means that your only block must represent 3 hours.

And all the blocks represent the same amount of time, then each one of the two blocks of your friend also represents 3 hours.

Then in total, he tutored for 3 hours + 3 hours = 6 hours.

Therefore, you still have only one block, but now your friend has 5.

Using the same reasoning as above, we can conclude that each block represents 3 hours, and your friend has 5 of them, this means that he tutored for:

5*3 hours = 15 hours

Answer:

1,800, 000, 000 ,000, 000 ,000, 000

simplified:

1.8e+21

Step-by-step explanation:

when it says 1e+20 that means there is 20 zeroes behind it:

100, 000, 000 ,000, 000 ,000, 000

Have a nice day!

Answer:

No and No

Step-by-step explanation:

Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.

Answer:

Step-by-step explanation:

If we are dealing with whole real numbers.

Both answers are based on the same idea.

The product of two numbers is even only if at least one of the two multiplicands is even.

The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.

This comes from number theory where multiplication is the repeated addition of one number a certain number of times.

If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.

If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.

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Answer:

  C.  0.36 +0.27 = 0.63

Step-by-step explanation:

3 columns and 6 squares of a hundredths grid is a representation of ...

  0.30 +0.06 = 0.36

2 columns and 7 square is a representation of ...

  0.20 +0.07 = 0.27

The total shaded area is the sum of these:

  0.36 +0.27 = 0.63

Answer:

Domain = 2,30,34,54

Range = 1,-7,1,0

Step-by-step explanation:

Domain = x input

Range = y output

Your function is f(x) = y.

Answer:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds.  

Step-by-step explanation:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9

cost of almond nuts per pound=$5.25

cost of the mixture per pound=$6.5

total pounds of the mixture to be made=12

let the pounds of macadamia nuts=x

pounds of almond nuts=y

total pounds of nuts=x+y= 12

x + y = 12(1)

9x +5,25y = 6.5(x+y)

9x+5.25y=6.5*12

9x+5.25y=78(2)

solving (1) and (2)

x=4 y=8

Answer:

what are you wanting

Step-by-step explanation:

Answer: 86

Step-by-step explanation:

Answer:

It will be 86.0 Fahrenheit

Step-by-step explanation:

Answer:

angle 3- 131

angle 2- 112

angle 5- 37

angle 1- 80

angle 4- 80

hope this helps :)- please crown me brainliest!!!

Step-by-step explanation:

<2=63°+49°= 112°.

hope this helps you.

Answer:

60 miles per hour

Step-by-step explanation:

15 mph (miles per hour) and he traveled for 4 hours so 15 per hour times 4 which is 60 and thats your answer

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Answer:

  C:  3/4x + 3/4 + 3/4 + 2/4x

Step-by-step explanation:

The various expressions simplify to ...

  given: 5/4x +6/4

  A: 46/4x

  B: 2/4x +6/4

  C: 5/4x +6/4

  D: 2/4x +11

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Answer:

  31 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

With reference to the attached diagram, we have ...

  tan(49°) = BG/GP

  BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m

The height of the building is about 31 meters.