All categories

3 years ago

If g(x) = 3(x − 2), find the value of x if g(x) = 6.

Mathematics

2 answers:

ale4655 [162]3 years ago

8 0

Answer: x=4

Step-by-step explanation:

6=3(x-2)

6=3x-6

3x/3=12/3

Tanya [424]3 years ago

4 0

$6=3(x-2)\\
6=3x-6\\
3x=12\\
x=4$

You might be interested in

Shelton Drew a circle with a radius ir 10 centimeters. He than shaded 2 portions of his circle. Find the area of the shaded port

Anton [14]

Answer:

The Area of shaded portion is 314000 cm²

Step-by-step explanation:

Given as :

The circle is drawn with radius = r = 10 cm

Two portion of circle is shaded

∵ two portion is shaded means whole the circle is shaded now

Let The area of shaded portion = A = area of circle

∵ Area of circle = A = π × radius²

where π = 3.14

Or, A = 3.14 × r²

Or, A = 3.14 × (100)²

Or, A = 3.14 × 10000

Or, A = $\dfrac{3140000}{100}$

I.e A = 314000 cm²

So, The Area of shaded portion = A = 314000 cm²

Hence, The Area of shaded portion is 314000 cm² Answer

5 0

4 years ago

The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *

denis-greek [22]

Answer:

$Area = 336\ m^2$

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

$P = 13x + 14x + 15x = 84$

$42x = 84$

$x = 2$

The length of each side is:

$13x = 26\ m$

$14x = 28\ m$

$15x = 30\ m$

Now, to find the area of the field, we can use the following formula:

$Area = \sqrt{p(p-a)(p-b)(p-c)}$

Where a, b and c are the sides and p is the semi perimeter:

$p = P/2 = 42\ m$

So we have that:

$Area = \sqrt{42(42-26)(42-28)(42-30)}$

$Area = 336\ m^2$

8 0

3 years ago

A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 20

jonny [76]

Answer:

20 meters

Step-by-step explanation:

A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 20 meters wide by 40 meter long rectangle. The company already has 100 meters of tape. How much more tape does the company need to tape the site?

We would have to find the perimeter of this rectangle

Perimeter fo a rectangle = 2L + 2W

In the above question,

L = Length = 40 m

W = Width = 20 m

Hence:

Perimeter = 2(40m) + 2(20m)

= 80m + 40m

= 120m

Hence, he would need 120 meters of tape

From the above Question, the company already has 100m

Hence, the amount of tape that the company needs more =

120m - 100m = 20 m

5 0

3 years ago

Which equation is true when the value of x is 3.5 help

Anestetic [448]

Answer:2x-8=1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

2. The registration at a preschool is $125. Then,

denis23 [38]

The equation of the total cost is y = 475 x + 125, where y is the total cost for x months

a) The rate of change is $475 per month

b) The initial value is $125

c) The independent variable is the number of months (x)

d) The dependent variable is the total cost after each month (y)

Step-by-step explanation:

The given is:

The registration at a preschool is $125
The parents must also pay $475 per month for tuition

Assume that the total cost is y for x months

∵ The registration fee = $125 ⇒ paid once

∵ The parents pay $475 per month for tuition

∵ The number of months is x

∴ The total cost y = 475 x + 125

The equation of the total cost is y = 475 x + 125, where y is the total cost for x months

∵ y = 475 x + 125 is in the form of the linear equation y = m x + b,

m is the slope of the line and b is the y-intercept

∵ The slope of the line m is the rate of change y with respect to x

∴ m = 475

∴ The rate of change is $475 per month

a) The rate of change is $475 per month

∵ b is the initial value of y at x = 0

∴ b = 125

∴ The initial value is $125

b) The initial value is $125

∵ The independent variable is x

∴ The independent variable is the number of months (x)

c) The independent variable is the number of months (x)

∵ The dependent variable is y

∴ The dependent variable is the total cost after each month (y)

d) The dependent variable is the total cost after each month (y)

Learn more:

You can learn more about the word problem in brainly.com/question/5059091

#LearnwithBrainly

5 0

4 years ago