<h3>
Answer: C) 5/2</h3>
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Explanation:
The term "zero" is the same as "root".
The root of f(x) is found by replacing f(x) with 0 and solving for x.
f(x) = 4x-20
0 = 4x-20
0+20 = 4x
20 = 4x
4x = 20
x = 20/4
x = 5
The root of f(x) is 5. If you plugged in x = 5, then you'll land on f(5) = 0.
Your teacher then wants to know what value of k will have g(x) get the same root of 5. In other words, we need to find k that will allow g(5) = 0.
We'll replace g(x) with 0 and plug in x = 5. Solving for k leads to...
g(x) = -0.5x+k
0 = -0.5*5+k
0 = -2.5+k
0+2.5 = k
2.5 = k
k = 2.5
k = 5/2
Answer:
$8 16 24 32 40 48 56 64 72 80
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4 8 12 16 20 24 28 32 36 40
Step-by-step explanation:
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
X = 1/3
4x + 2x - 2 = 0
6x - 2 = 0
+2 +2
6x = 2
/6 /6
X = 1/3
Answer:
$180
Step-by-step explanation:
To solve, we can set up a proportion and solve.
You earn $45 for 7.5 hours of work, and you earn $ x for 30 hours of work
45/7.5=x/30
Cross multiply
45*30=7.5*x
1350=7.5x
To solve for x, we need to get x by itself. It is being multiplied by 7.5. To undo this, divide both sides by 7.5
1350/7.5=7.5x/7.5
180=x
So, for 30 hours of work, you would earn $180
