Answer:
x= -5/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7(5x+9)=12−(x+9)
7(5x+9)=12+−1(x+9)(Distribute the Negative Sign)
7(5x+9)=12+−1x+(−1)(9)
7(5x+9)=12+−x+−9
(7)(5x)+(7)(9)=12+−x+−9(Distribute)
35x+63=12+−x+−9
35x+63=(−x)+(12+−9)(Combine Like Terms)
35x+63=−x+3
35x+63=−x+3
Step 2: Add x to both sides.
35x+63+x=−x+3+x
36x+63=3
Step 3: Subtract 63 from both sides.
36x+63−63=3−63
36x=−60
Step 4: Divide both sides by 36.
36x/36 and -60/36
x= -5/3
Answer:
The cost increase for each square of carpet by 12.
Step-by-step explanation:
The given function is

It is a slope intercept form of the line

Where m is the slope and b is y-intercept.
Therefore the slope of given function is 12 and the y-intercept is 50.
It means the initial ot fixed cost of the carpet is 50 and the cost increased by 12 for each square of carpet.
Answer:
y=(x+4)²-19
Step-by-step explanation:
The measure of the unknown angles in the kite are as follows;
- x = 66 degrees
- y = 158 degrees
<h3>How to find the measure of a kite?</h3>
A kite has two pairs of adjacent equal sides.
In other words, a kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
One pair of opposite angles is equal. Diagonals are perpendicular to each other.
A kite has four interior angles and the sum of these interior angles is 360°
Therefore, the measures of the
x = 66 degrees.
Let's find y.
y = 360 - 70 - 66 - 66
y = 158 degrees.
learn more on kites here: brainly.com/question/24263475
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16 can be expressed as a difference of two prime numbers in two ways, which
is:23 - 7 = 16, 19 - 3 = 16
Among the choices, 16 is expressed as (23 - 7), which is the difference of two prime numbers.