Larry is putting a row of rocks around his rectangular pool. Which descriptive model will tell him how many rocks he needs?

[2(pool length) + 2(pool width)] times the width of the rocks

(pool length times pool width) times the width of the rocks

(pool length times pool width) divided by the width of the rocks

[2(pool length) + 2(pool width)] divided by the width of the rocks

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (4, 1 )

with k = 1

Answer:

Distribute the 3 to the parenthesis, and the -1 to the parenthesis.

This will result to:

3x-9-x+4

2x-5

Answer:

48 dollars.

Step-by-step explanation:

If Mr. George starts with 42, and adds 6, his new balance should equal 48 because you add the two numbers.

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

Answer:

324

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

Answer:

$1.26

Step-by-step explanation:

  9.80/8 = 1.22500

1.22500 rounded up = 1.26

Answer:

3774

Step-by-step explanation:

Answer:

The slope is -9/12

Step-by-step explanation:

First find the slope of the given line:

12x - 9y = 135 → -9y = -12x + 135 → y = 12/9 - 15

The perpendicular slope is a slope that is the reciprocal and is the opposite charge of the given slope.

So the answer would be -9/12, which is 12/9 but flipped upside down and is negative.

Answer:

yes this is...,.,.,.....

Answer:

0.72>0.702

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:

−26 and −16 is −14.

Step-by-step explanation:

Answer:-9

Step-by-step explanation:

that is the answer

Answer: -8 points

Step-by-step explanation:

From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.

We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.

Her total points now will be the addition of -5 and -3. This will be:

= -5 + (-3)

= -5 - 3

= -8

Note that minus multiplied by plus is minus.

Answer: -8

Step-by-step explanation:

Answer:

2.6

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

2 + 4 + 8 + 16 + 32 = 62

If each person sends 2 texts each, then you basically multiply by 2 every round

Answer:

13

Step-by-step explanation:

I can't see the rest of the question but im assuming it's asking how many people there are so you add the 6 and 4 together which makes 10 and divide 130 by 10 because its 10 ounces all together for each person which makes 13. I'm really sorry of this is wrong but im assuming that is the answer because that is what the question looks like its asking

Answer:13

Step-by-step explanation:

not sure if correct but

Answer:

8

Step-by-step explanation:

Because you need to round 0.8064516129 to the nearest tenth

Answer:

vertex = (- 4, - 3 ), equation is x = - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = 6(x + 4)² - 3 ← is in vertex form

with (h, k ) = (- 4, 3 ) ← vertex

The equation of the axis of symmetry is a vertical line passing through the vertex, with equation

x = - 4

Answer:

i

Step-by-step explanation:

. 7.25 divided by 3 is 2.416666666 on the calulater. and the cost per cone is 1.45. so each cone is 1.45 per each and the cost per cone of 3 is 2.416666666 for the calulater. I hoped I helped if I didn't I'm sorry

Answer:

(x-2)(x+3)(x+6)

Step-by-step explanation:

Given the polynomial function p(x)=x^3+7x^2-36

We are to write it as a product of its linear factor

Assuming the value of x that will make the polynomial p(x) to be zero

Let x = 2

P(2) = 2³+7(2)²-36

P(2) = 8+7(4)-36

P(2) = 8+28-36

P(2) = 0

Since p(2) = 0 hence x-2 is one of the linear factors

Also assume x = -3

P(-3) = (-3)³+7(-3)²-36

P(-3) = -27+7(9)-36

P(-3) = -27+63-36

P(-3) = 36-36

P(-3) = 0

Since p(-3) = 0, hence x+3 is also a factor

The two linear pair are (x-2)(x+3)

(x-2)(x+3) = x²+3x-2x-6

(x-2)(x+3) = x²+x-6

To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.

x^3+7x^2-36/x²+x-6 = x+6

Hence the third linear factor is x+6

x^3+7x^2-36 = (x-2)(x+3)(x+6)

Answer:

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Step-by-step explanation:

Here we want to rewrite the polynomial

P(x) = x^3 + 7x^2 - 36

As a product of linear factors given that we have one of the roots already as (x + 3)

What we shall do here is to divide the polynomial by x + 3

Please check attachment for long polynomial division

From the division, the other factor is x^2 + 4x -12

So we can rewrite the polynomial as;

x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)

So let’s now write x^2 + 4x -12 as a product of its linear factors

x^2 + 4x -12 = x^2 + 6x -2x -12

= x(x + 6)-2(x + 6)

so we have;

(x -2)(x + 6)

Therefore;

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Answer:

The expression that can be used to determine the final cost of the game is

1.06(0.88 y) ⇒ (C)

Step-by-step explanation:

Let us solve the problem

∵ Ella purchased a game that was on sale for 12% off

→ That means the new price will (100% - 12%) of the initial price

∵ y represented the initial price of the game

→ Multiply y by (100% - 12%) to get the new price

∴ The new price = y (100% - 12%)

∴ The new price = y (88%)

→ Change 88% to normal number by divide it by 100

∴ The new price = y ([tex]\frac{88}{100}[/tex])

∴ The new price = 0.88 y

∵ The sales tax in her county is 6%

→ That means the final cost will be (100% + 6%) of 0.88 y

∴ The final cost = (100% + 6%) × (0.88 y)

∴ The final cost = 106% × (0.88 y)

→ Change 106% to normal number by divide it by 100

∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)

∴ The final cost = 1.06(0.88 y)

The expression that can be used to determine the final cost of the game is 1.06(0.88 y)

Answer:

C. 1.06(0.88y)

Step-by-step explanation:

Answer:

x=27/28

Step-by-step explanation:

Let's solve your equation step-by-step.

2x−14+x3=2

Step 1: Simplify both sides of the equation.

2x−14+x3=2

2x+−14+13x=2

(2x+13x)+(−14)=2(Combine Like Terms)

73x+−14=2

73x+−14=2

Step 2: Add 1/4 to both sides.

73x+−14+14=2+14

73x=94

Step 3: Multiply both sides by 3/7.

(37)*(73x)=(37)*(94)

x=27/28

Answer:

x=27/28