Answer:
g(x) = (3x-4)
Step-by-step explanation:
F(x) = sqrt( 3x-4)
We are taking the square root of (3x-4)
so g(x) = (3x-4)
When given a system of equations, the "solutions" are defined where two equations intersect, or meet.
A. The point where the lines p(x) and g(x) meet is (3, -1), and thus this is considered the solution set.
B. Because there are three lines in total, g(x) is able to intersect both lines one time, and so it has two pairs of solutions.
The first is (3, -1), which has already been established with p(x).
The second is (0, 5), and this is where it intersects with f(x).
C. The solution to f(x) = g(x) is 0, as this is the only x value where both equations are equal.
Hope my answer helped!
Answer:
B.
Step-by-step explanation:
18.66 quarts of paint is needed to paint the swimming pool with two coats of paint
<em><u>Solution:</u></em>
Given that,
<em><u>A swimming pool is in the shape of a rectangular prism</u></em>
Length = 20 feet
Width = 10 feet
Height = 5 feet
<em><u>Find the surface area of prism</u></em>
Where, "l" is the length and "w" is the width and "h" is the height
Thus surface area area of prism is 700 square feet
Given that,
One quart of water-resistant paint covers 75 square feet
Therefore,
1 quart paint = 75 square feet
x quart = 700 square feet
This forms a proportion
Thus 9.33 quarts of paint is needed to cover 700 square feet
How many quarts should you buy to paint the swimming pool with two coats of paint
For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint
To solve the problem w must know about the Associative property.
<h2>Associative property</h2>
The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).
The property that will allow Carmen to do this without changing the value of the expression is the Associative property.
<h2>Explanation</h2>
Given to us
<h3>Associative property.</h3>
Now, using Associative property,
(6.21 + 0.93 ) + 0.07
= 6.21 + (0.93 + 0.07)
=6.21 + (0.93 + 0.07)
Hence, the property that will allow Carmen to do this without changing the value of the expression is the Associative property.
Learn more about Associative property:
brainly.com/question/1680548
