Joe's Painting: 20x + 100 = y
Steve's Painting: 15x + 120 = y
x = hours worked
y = total income
We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:
20x + 100 = 15x + 120
First, we have to move the 100 by subtracting it from both sides.
20x = 15x + 120 - (100)
20x = 15x + 20
Then, we need to move the 15x by subtracting it from both sides.
20 - (15x) = 20
5x = 20
Lastly, we need to divide 5 from both sides.
5x = 20/5
x = 4
Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.
Answer:
Step-by-step explanation:
3x+2y=14
x+2y=6
2x=8
x=4
Substitute 4 x in equation 1
3(4)+2y=14
y=1
Answer:
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Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You're looking for x-intercepts
From the graph you know that the x-intercepts are as follows:
x = -4, x = -2, x = 4
And this is when y or f(x) = 0
so you can rewrite each x-intercept as an equation
0 = x + 4
0 = x + 2
0 = x - 4
Now you know each of the terms
f(x) = (x-4)(x+2)(x+4)
Option 2: 
is the correct answer.
Step-by-step explanation:
The radical expressions like these are simplified by using fractional exponents
given
![\frac{\sqrt{4}}{\sqrt[3]{4} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%5B3%5D%7B4%7D%20%7D)
Converting radicals into exponents
When there is no base the exponent is 1/2 and as the base is 3, the exponent will be 1/3
So
As the bases of numerator and denominator is same, the exponents can be subtracted
Hence,
Option 2: is the correct answer.
Keywords: Exponents, radicals
Learn more about radicals at:
#LearnwithBrainly
