Ask question

Ask question

All categories

3 years ago

13

The function f(x) =4x+3 represents the length of a rectangle. The function g(x)=2x-5 represents the width of the rectangle.Use (

f•g)(4) to determine the area of a rectangle

2 answers:

nata0808 [166]3 years ago

6 0

Answer: 32x-68

Step-by-step explanation:

(f•g) is equal to f(gx)

f(x)=4(2x-5)+3

Which is 8x-20+3=8x-17

Now multiply by 4.

4(8x-17)

= 32x-68

beks73 [17]3 years ago

6 0

Answer: 57 square units.

Step-by-step explanation:

Given : The function $f(x) =4x+3$ represents the length of a rectangle.

The function $g(x)=2x-5$ represents the width of the rectangle.

Then , the area of the rectangle is given by :_

$A=(f\cdot g)(x)=f(x)\cdot g(x)\\\\=(4x+3)(2x-5)$

At x= 4,

$A=(f\cdot g)(4)=(4(4)+3)(2(4)-5)\\\\=(16+3)(8-5)=19\times3=57$

Hence, the area of a rectangle = 57 square units.

You might be interested in

M=(3x)/(pi r^(2)h)<br><br> solve for "r"

wel

The solution for r in the given equation is r = √[(3x)/(pi h)(m)]

<h3>How to determine the solution of r in the equation?</h3>

The equation is given as:

m = (3x)/(pi r^(2)h)

Multiply both sides of the equation by (pi r^2h)

So, we have:

(pi r^(2)h) * m = (3x)/(pi r^(2)h) * (pi r^(2)h)

Evaluate the product in the above equation

So, we have:

(pi r^(2)h) * m = (3x)

Divide both sides of the equation by (pi h)(m)

So, we have:

(pi r^(2)h) * m/(pi h)(m) = (3x)/(pi h)(m)

Evaluate the quotient in the above equation

So, we have:

r^(2) = (3x)/(pi h)(m)

Take the square root of both sides in the above equation

So, we have:

√r^(2) = √[(3x)/(pi h)(m)]

Evaluate the square root of both sides in the above equation

So, we have:

r = √[(3x)/(pi h)(m)]

Hence, the solution for r in the given equation is r = √[(3x)/(pi h)(m)]

Read more about equations at

brainly.com/question/2972832

#SPJ1

5 0

1 year ago

Select the TRUE statement below regarding aggregate supply in the long and short run.

Ivenika [448]

Answer:

The discovery of new resources can cause the LRAS curve to move.

Step-by-step explanation:

In the short-run, a new resource will not impact supply

Like the supply for maritime transportation when the steam-engine were invented.

At the beginning of the industrial revolution, the ship keep relying on sails. But, as time passes, the adoption of the new resource and method of production push the Long Run Aggregate Supply. As more transportation was possible with steam-engine using coal.

That will be the case for an improvement in the method of production. Then, following the same example, a change in a better quality of the resource like, replacing the coal engines with diesel engine generates an improvement in the quantity supplied as it is more efficient and can be used

4 0

3 years ago

1.25 x 8 - 1.5<br><br> please help me

evablogger [386]

Answer:

The answer is, 8.5

Step-by-step explanation:

1.25×8=10

10-1.5=8.5

7 0

3 years ago

Read 2 more answers

I need help someone please

jolli1 [7]

Answer: Product of powers
---
The product of powers rules basically says that two powers, let's call them $a^{m}$ and $a^{n}$ , with the same base (a) multiplied together equals $a^{m+n}$ .

In your problem you can see that $a^{2}$ and $a^{3}$ are being multiplied together and the exponents are being added, which is what the "product of powers" law says.

3 0

4 years ago

A spherical ball with a volume of 972 π π in. 3 3 is packaged in a box that is in the shape of a cube. The edge length of the bo

IRINA_888 [86]

Remember that the equation of the volume of a sphere is: $V= \frac{4 \pi r^{3}}{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere
We know from our problem that the volume of our spherical ball is $972 \pi in^{3}$ , so $V=972 \pi$ . Lets replace that value in our equation to find $r$ :
$V= \frac{4 \pi r^{3}}{3}$
$972 \pi = \frac{4 \pi r^{3 }}{3}$
$r^3= \frac{3(972 \pi )}{4 \pi }$
$r^{3}=729$
$r= \sqrt[3]{729}$
$r=9$
Now that we have the radius of our spherical ball, we can find its diameter using the equation: $d=2r$ :
$d=2(9)$
$d=18$

Since we know for our problem that t<span>he edge length of the box is equal to the diameter of the ball, the length of one side of our square is 18 in.
Now, to find the volume of our cube, we are going to use the equation: </span> $V=a^3$
where
$V$ is the volume of the cube
$a$ is a side of the cube (remember that all the sides of a cube are equal)
$V=18^3$
$V=5832$

We can conclude that the volume of our cube is 5832 $in^{3}$ .

7 0

3 years ago