Evaluate the expression below when x = 9 and y = 12.
4(x + 6) - 3(y + 4)

Answer:

$8036.784

Step-by-step explanation:

It is easy

The area of carpet is 13.4×24=321.6sq meter

Now, for 1 sq. meter the cost is $24.99

So for 321.6sq.meters, 321.6×24.99

=$8036.784

It will cost amount of $8036.784 to carpet a rectangular room.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

To carpet a rectangular room that measures 13.4 meters by 24 meters, it would area:

13.4 x 24 = 321.6 square meters

Since one square meter, the cost is $24.99

So for 321.6 square meters, 321.6×24.99

= $8036.784

Thus, it will cost amount of $8036.784 to carpet a rectangular room.

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Answer:

see explanation

Step-by-step explanation:

12

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-5}{-1}[/tex] = 5 , then

[tex]a_{n}[/tex] = - [tex]5^{n-1}[/tex]

13

Using the explicit formula for a geometric sequence

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 48 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{96}{-48}[/tex] = - 2 , then

a₁₀ = - 48 × [tex](-2)^{9}[/tex] = - 48 × - 512 = 24576

Step-by-step explanation:

its A

6x^2+18x

I hope this helps have a great day

Answer:

width=x

length =2x.....

Answer:

l = 2w

Step-by-step explanation:

note:

l = lenght

w = width

so lenght  is 2 times width is -

l = 2w

Answer:

I think its 7330

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{y_{2} - y_{1}}{x_{2}- x_{1} } = \frac{2-0}{3-0} = \frac{2}{3}[/tex]

Answer:2/3

Step-by-step explanation:

khan

Answer:

4 / ($3.28)   is the correct answer

Step-by-step explanation:

As cost of  one box is  $3.28

the cost of four boxes will be  4 divided by the cost of one box....so that why the  4/($3.28) is correct option

Answer:

11.6 mi

Step-by-step explanation:

9.3^2+6.9^2 = 134.1

sqrt134.1 = approx 11.6

Answer:

c= 11.6 mi

Step-by-step explanation:

c =√(a²+b²)= √(9.3²+6.9²)= 11.6mi

Answer: 555 minutes

Step-by-step explanation: 60 minutes in an hour, so 9*60 is 540. 1/4 of an hour is 15 minutes (15*4=60) so 540+15=555 minutes

Answer:

Step-by-step explanation:

9.25 * 60 (because there is 60 minutes in one hour)

=555 minutes

Answer:

Option c

Step-by-step explanation:

A system of equations are given to us. And we need to solve them . The given system is

[tex]\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}[/tex]

We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

[tex]\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 } [/tex]

We got two values of x as 0 & 2 . Alternatively substituting these values we have ,

[tex]\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 } [/tex]

Thefore the required answer is ,

[tex]\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}[/tex]

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y = x² - 3 → (2)

Substitute y = x² - 3 into (1)

x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

x² - 2x = 0 ← factor out x from each term

x(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x - 2 = 0 ⇒ x = 2

Substitute these values into (1) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )

Answer:

w= 2ft

Step-by-step explanation:

Length x Width x height

In his case, Kyle:

12=2x3xw

so, 12=6w

divide both sides by six

w=2 ft

In short the answer is 2ft ; )

Answer:

Angle 1 = 85*

Angle 3 = 85*

Angle 4 = 95*

Angle 5 = 85*

Angle 6 = 95*

Angle 7 = 85*

Angle 8 = 95*

Step-by-step explanation:

Since angle 2 is 95*, angle 4 would be the exact same. Now you add 95+95=190 and subtract that from 360. 360-190=170. Then divide 170 by 2= 85 to get the measurements for 1 and 3.

The volume of a cube whose edge is 6 cm long is 216

Answer:

B

Step-by-step explanation:

58×20=1160

0+160+1000=1160

Answer:

n = 30m + 1,200

Step-by-step explanation:

let n = gallons

m = minutes

There are 30 gallons per minute, so 30 is multiplied by the minutes, and because there are already 1,200 gallons of water, you add 1,200

The answer should be in the form of a(x-h)2 + k.

explanation:

Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.

f(x) = x2 is given.

g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).

How do we write this?

g(x) = f(x-h) where h = -3.

So this is g(x) = f(x - (-3)) = f(x+3)

g(x) = (x+3)2

Hope it helps!

The value of function g (x) will be;

⇒ g (x) = (x- 0)² + 3

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The function g(x) is the translation 3 units up of f(x) = x².

Now,

Since, The function is,

⇒ f (x) = x²

And, The function g(x) is the translation 3 units up of f(x) = x².

So, The function g (x) is defined as;

⇒ g (x) = x² + 3

⇒ g (x) = (x- 0)² + 3

Thus, The value of function g (x) will be;

⇒ g (x) = (x- 0)² + 3

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Answer:

$0.70 per ear of corn

Step-by-step explanation:

Let c = Ear of corn

Let b = pound of bananas

First shopper:

7c + 6b = $5.15

Second Shopper:

4c + 1b = $1.85

Solve one equation for b since you are solving for c:

4c + 1b = $1.85

b = $1.85 - 4c

Substitute into other equation:

7c + 6b = $5.15    <---  b = $1.85 - 4c

7c + 6 ($1.85 - 4c) = $5.15

7c + $11.1 - 24c = $5.15

-17c + $11.1 - $11.1 = $5.15 - $11.1

-17c /-17 = -$11.85 /-17

c = $0.70 per ear of corn

Leave a like and mark brainliest if this helped

Answer:

1. 400

2. -100 or no money

3. it had no money/ no funds  

Step-by-step explanation:

Answer:

y-int.=6; vertex equation: y= (x - 2)² + 10; vertex: (2, 10); axis of symmetry: x = 2

Step-by-step explanation:

The c value can be used as the y-int.: y=6

vertex form: a(x-h)²+ k

vertex form of this equation:

use completing the square method

y=x²+4x+6

take b, it, divide it in half, then square it (b/2)². b/2 is your h value. Add (b/2)² to c to get your k value

y= x²+4x + 2² + 6

y= (x - 2)² + 4 + 6

vertex equation:

y= (x - 2)² + 10

vertex: (2, 10)

axis of symmetry:

use the h value: x = 2

Answer:

106 m

Step-by-step explanation:

Brₐinliest plz close to leveling up

Answer:

Pretty sure it 13440

Sorry if its wrong but hope this helps.

Answer:

D

Step-by-step explanation: