Selena and Drake are evaluating the expression (StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1, when r = negative 1 and s = negative 2. Selena’s Work Drake’s Work (StartFraction r s Superscript negative 2 Baseline Over r squared s Superscript negative 3 Baseline EndFraction) Superscript negative 1 Baseline = (r Superscript negative 1 Baseline s) Superscript negative 1 Baseline = StartFraction r Over s EndFraction = StartFraction negative 1 Over negative 2 EndFraction = one-half (StartFraction (negative 1) (negative 2) Superscript negative 2 Baseline Over (negative 1) squared (negative 2) Superscript negative 3 EndFraction) Superscript negative 1 = (StartFraction (negative 1) (negative 2) cubed Over (negative 1) squared (negative 2) squared EndFraction) Superscript negative 1 = (StartFraction negative 8 Over 4 Endfraction) Superscript negative 1 Baseline = StartFraction 4 Over negative 8 EndFraction = negative one-half Who is correct and why? Selena is incorrect because she should have substituted the values for the variables first, and then simplifed. Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables. Drake is incorrect because he should have simplified first, before substituting the values for the variables. Drake is correct because he substituted the values for the variables first, and simplified correctly.
Nevermind it's b

Answer:

6x¹⁰ - 96x²

6x²(x⁸ - 16)

B) 6x²(x⁸ - 16)

6x²[(x⁴)² - 4²]

6x²[(x⁴ - 4)(x⁴ + 4)]

6x²(x⁴ + 4)[(x²)² - 2²]

6x²(x⁴ + 4)(x² - 2)(x² + 2)

Answer:

Step-by-step explanation:

Part A: The rewritten expression created by factoring out the greatest common factor is 6x2(x8 – 16).

Part B: The completely factored expression is 6x2(x4 + 4) (x2 + 2) (x2 – 2).

My work for Part B:

Step 1: Using the expression from Part A, we just simplify the inside of the parentheses as much as possible by using the difference of two perfect squares pattern:

6x2(x4 + 4) (x2 + 2) (x2 – 2).

Answer:

(x+1)^2 = 49

x = 6                 x = -8

Step-by-step explanation:

x^2 + 2x – 48 = 0

Add 48 to each side

x^2 + 2x =48

Take the coefficient of x

2

Divide by 2

2/2=1

Square it

1^2 =1

x^2 + 2x +1=48+1

x^2 +2x+1 = 49

(x+1)^2 = 49

Take the square root of each side

sqrt((x+1)^2) =±sqrt( 49)

x+1 = ±7

Subtract 1 from each side

x+1-1 = -1  ±7

x = -1+7          x = -1 -7

x = 6                 x = -8

Answer:

The volume doubles to 120

Step-by-step explanation:

Volume of Rectangular Prism Formula: V = lwh

Step 1: Find volume of given lengths

V = 3(4)(5) = 60 in²

Step 2: Find volume when we double h

4(2) = 8

V = 3(8)(5) = 120 in²

Step 3: Divide the 2 numbers to find the ratio

120/60 = 2, or double the amount.

Answer:

25%

Step-by-step explanation:

Percent change = 100 - 80

|80|

x 100 = 20

80

x 100 = 25

Answer:

25%

Step-by-step explanation:

Answer:

its 60-15(pie) sq inches

Step-by-step explanation:

Answer:  Open the compass to point D

Step-by-step explanation:  You will draw an arch with a radius BD so it will be able to intersect above and below with another arc of the same radius drawn with the compass point on point D

Answer:

Step-by-step explanation:

Given: A rectangle ABCD in which diagonals AC and BD intersect at E.

AE = X + 11

CE = 6x + 1

To find: Find AC

solution,

The diagonals at a rectangle bisects each other. Hence, AE = EC

x + 11 = 6x + 1

Move the variable to L.H.S and change its sign

X - 6x + 11 = 1

Move the constant to R.H.S and change its sign

x - 6x = 1 - 11

Simplify

-5x = -10

Divide both side of the equation by 5

-5x/5 = -10/5

Calculate

-x = -2

The minus sign (-) will be cancelled on both sides

X = 2

Again,

EC = 6x + 1

= 6 * 2 + 1

= 12 + 1

= 13

Hope this helps...

Good luck on your assignment...

Step-by-step explanation:

if this figure is rectangle then opposite side of rectangle are equal

perimeter= sum of all sides

156=5x-3+5x-3+4x+4x

156=18x-6

x=9

So length of side WX is 9. 4

WX= 36

Answer:

The factors of the polynomial are:

(x + 1) and (x - 3).

Step-by-step explanation:

Consider the image attached.

The upper tiles shows: (x + 1)

And the left tiles shows: (x - 3)

So, the factors of the polynomial are:

(x + 1) and (x - 3).

Answer:

x+1 and x -3

Step-by-step explanation:

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

It should be noted that step 6 is a result of step 5.

So, basically the question is asking for the property applied on step 5.

Given that step 5 is: 1x = 20

The property applied is the identity property of multiplication.

This is so because this property states that when 1 is multiplied to an equation, the result remains the same.

Hence;

When 1 is multiplied to x (i.e. 1x), the result is still x.

So, 1x = 20 at step 5 gives x = 20 at step 6

Answer: Option B is the correct answer.

The identity property of addition

Answer:

6x^2 -31x +40

Step-by-step explanation:

2x * 3x + 2x * - 8 + -5 * 3x -5 * -8  Distributive property

6x^2 -16x -15x + 40  Math

6x^2 -31x +40 Answer

Answer:

y = -7

Step-by-step explanation:

A horizontal line has an equation of the form

y = b,

where b = y-intercept

The y-intercept is -7, so the equation is

y = -7

Answer:

Y=-7

Step-by-step explanation:

No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).

Answer:

B.) 7 in

Step-by-step explanation:

A regular hexagon can be divided into 6 congruent equilateral triangle. The measure of an angle of an equilateral triangle is 60 deg. The angle formed by sides b and c measures 60 deg.

tan A = opp/adj

tan 60 deg = 12/b

b * tan 60 deg = 12

b = 12/(tan 60 deg)

b = 7 in

Answer:

[tex]-2[/tex]

Step-by-step explanation:

[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]

[tex]++ = +[/tex]

[tex]-+ = -[/tex]

[tex]+- = -[/tex]

[tex]( +)2 + ( -)2 + ( -)2[/tex]

[tex]2-2-2[/tex]

[tex]=-2[/tex]

Answer:

20

Step-by-step explanation:

2 in 529 is in the tens place - 10

So if 2 is in the tens place, we have 20 as the value of 2.

Answer:

the answer to ur question would be 20 B)

None of these answers work.  I believe you recorded the equations incorrectly.

Answer:

the answer is C

Answer: the answer is C

Step-by-step explanation:

Answer:

$49.71

Step-by-step explanation:

Take $54.99 - 20% to get $43.99 add 13% and get $49.71

Answer:   $1450

The profit that is gained from the production and selling of the jeans is given to be calculated through the the equation,

                         P = 20x - 50

For 75 jeans, we just have to substitute 75 to the x's of the equation. This then becomes,

                       P = 20(75) - 50 = 1450

Thus, the company will make a profit of $1450 by production of 75 jeans. 

Step-by-step explanation:

The company will make a profit of $1450 by the production of 75 jeans.

The profit that is gained from the production and selling of the jeans is modeled by the equation;

P = 20x - 50

If 75 jeans are produced, substitute 75 to represent the value of x in the equation.

P = 20(75) - 50 = 1450

Hence, the company will make a profit of $1450 by the production of 75 jeans.

Larn more on functions and values here: https://brainly.com/question/10439235

Answer:

$1788

Step-by-step explanation:

1200 x 0.07 = 84

84 × 7 = 588

588 + 1200 = 1788

The value of the  account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.

Since

The initial deposit is $1.200

The rate of interest is 5%

Now the future value be like

[tex]= (1,200 \times (1 + 0.05)^{9} - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= 1,200 \times (1.5513 - 1) \div 0.05) \times (1 + 0.05) + 1,200\\\\= (1,200 \times 11.0265) \times (1.05) + 1,200[/tex]

= 13893.4711 + 1,200

= $15,093.47

hence, The value of the  account after the 10th deposit if no withdraws or additional deposits are made should be $15,093.47.

Learn more about rate here: https://brainly.com/question/14835033

Answer and Step-by-step explanation:

(i) The solution for equation: 2(3x-3) - 5 = 2(x-3) + 15 is:

2(3x-3) - 5 = 2(x-3) + 15

6x - 6 - 5 = 2x - 6 +15

6x - 2x = - 6 + 15 + 6 + 5

4x = 20

x = 5

The solution x is a real number and equals 5.

(ii) Since the order of hot sauce that goes into the gumbo doesn't matter, use combination:

[tex]C^{10}_{3}[/tex] = [tex]\frac{10!}{3! (10-3)!}[/tex]

[tex]C^{10}_{3}[/tex] =  [tex]\frac{10.9.8.7!}{3.2.1.7!}[/tex]

[tex]C^{10}_{3}[/tex] = 120

There are 120 ways of picking 3 sauces out of 10.

(iii) Interest is calculated as:

interest = principal*rate*time

Principal is the value of the loan;

Rate is how much it will increase;

Time is for how long the loan will be taken. In this case, time is 9/12 since it was for months;

Interest = 3000 * [tex]\frac{11.75}{100}*\frac{9}{12}[/tex]

Interest = 264.37

The interest the student will pay will be: $264.37.

Future Value = principal + interest

future value = 3000 + 264.37

future value = 3264.37

The future value for the student is $3264.37.

(iv) As shown in the image in the attachment, the sum of the equations equals 90:

2x + 30 + 2x + 40 = 90

4x = 20

x = 5

The angles are 40° and 50°

Answer:

36

Step-by-step explanation:

So, FD is a midsegment. (D is a midpoint and so is F)

This midsegment connects the two sides EC and AE. The third, remaining, side is AC.

The midsegment is half as long as the third side.

FD = 18.

FD is half of the third side.

FD times 2 = third side.

18 times 2 = 36

The third side, AC, is 35 units long.

Words of encouragement:

Good luck!

Answer:

25 cm^2

24 cm

Step-by-step explanation:

5*5 = 25 cm^2

Make sure not to forget the cm^2, otherwise you will get it wrong

10 + 14 = 24 cm

this is only perimeter so only cm

Answer:

25 cm²

24 cm

Step-by-step explanation:

Area of a Square: A = lw

Since the sides of a square are all the same, we have A = 5(5) = 25 cm²

Perimeter of a Rectangle: 2w + 2l

Simply plug it in:

P = 2(7) + 2(5)

P = 14 + 10

P = 24 cm

Answer:

13

Step-by-step explanation:

[tex]f(x) = \frac{x}{2} + 8 \\ plug \: x = 10 \\ f(10) = \frac{10}{2} + 8 \\ f(10) = 5 + 8 \\ f(10) = 13 \\ \implies \: f(x) = 13 \\ [/tex]

Answer:

Solution,

f(X)=[tex] \frac{x}{2} + 8[/tex]

X = 10 (Given)

Now,

finding the value of f(x) when X = 10

f(X)=[tex] \frac{x}{2} + 8[/tex]

Plugging the value of X

f(10)=[tex] \frac{10}{2} + 8[/tex]

[tex] \frac{10 + 8 \times 2}{2} [/tex]

[tex] \frac{10 + 16}{2} [/tex]

[tex] \frac{26}{2} [/tex]

[tex]13[/tex]

Hope this helps....

Good luck on your assignment...

Answer:

x = 18

A = 110

Step-by-step explanation:

Angles A and B are supplementary angles so they add to 180 degrees

A + B = 180

5x+20 + 9x -92 = 180

Combine like terms

14x -72 = 180

Add 72 to each side

14x-72+72 = 180+72

14x = 252

Divide each side by 14

14x/14 = 252/14

x =18

A = 5x+20

  = 5*18 +20

   =90 +20

   = 110

Answer:

B.   y = 6x^2 - 24x + 16.

Step-by-step explanation:

y = 6(x - 2)^2 - 8

y = 6(x^2 -4x + 4) - 8

y = 6x^2 - 24x + 24 - 8

y = 6x^2 - 24x + 16.

Answer:

see explanation

Step-by-step explanation:

Any term in a Fibonacci sequence is the sum of the previous 2 terms.

Given the first 3 terms then

a₄ = a₂ + a₃ = x + y + y = x + 2y

a₅ = a₃ + a₄ = y + x + 2y = x + 3y

a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y

a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y

Thus the next four terms are

x + 2y, x + 3y, 2x + 5y, 3x + 8y

Answer: idk if that can help you but anyway this what I found .

Step-by-step explanation: