Answer:
113.1
Step-by-step explanation:
i just did the math
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
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Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
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We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Answer:
The total number of hours the child spent in childcare after preschool was 96.5.
Step-by-step explanation:
The cost of the preschool, in function of the number of hours that the child spent there, is given by the following equation:
If the one month charges for one child totaly $637.75, what was the total number of hours the child spent in childcare after preschool?
This is h when c(h) = 637.75. So
The total number of hours the child spent in childcare after preschool was 96.5.
The additive inverse of an expression is composed of terms which bear the opposite sign of the equivalent functions such that when the two functions are added, the sum is zero. In this case, the additive inverse of +4x is B-4x.
<span>2. a) 4x + (4 -x) = 0
</span> 4x + 4 -x = 3x + 4 is not equal to 0.
<span> b) 4x + (-4x) = 0 additive inverse
</span> c) <span>4x + (1/4x) not equal to zero should use multiplicative inverse
d) </span><span>4x + x - 4 = 5x - 4 is not equal to zero</span>
To multiply a fraction, imagine it this way. Start with 1/4. Then if you multiply 1/4 by 2 it would be 1/2.
If you have a quarter, and you times that quarter by 2, you have half a dollar.
It only needs to be simplified if you can simplify the fraction.
