After performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = |x| + 7
First we reflect the function f(x) across the x-axis
Multiply the function by -1
F(x) = -(|x| + 7)
To translated 4 units up add 4 to the function.
g(x) = -(|x| + 7) + 4
Thus, after performing the transformation on f(x) = |x|+7; reflected across the x-axis and translated 4 units up. We get the function g(x) = -(|x| + 7) + 4
Learn more about the function here:
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Answer:
Rate = 4.5
Step-by-step explanation:
It is given that,
A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.
We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :

So, the unit rate of flour to sugar for the cookie recipe is 4.5
Answer:
the answer is -8 13/30
Step-by-step explanation:
Answer:
2 units
Step-by-step explanation:
Since EFG and XYZ are congruent, we can write it like this:
E = X
F = Y
G = Z
Due to E and F being two units apart on the coordinate plane, we can conclude X and Y are also at a measurement of 2 units! Hope this helps!
Step-by-step explanation:
Solution
According to remainder theorem, when f(x) is divided by (x+2), Remainder =f(−2)
f(x)=5x3+2x2−6x+12
f(−2)=5(−2)3+2(−2)2−6(−2)+12
=5×−8+2×4+12+12
=−40+32=−8
∴ Remainder=−8