(5^-2)= (1/5^2)... (1/25) now cube that so it will be 1/15625. Hope that helps
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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Equation in point slope form of a line:
y-y₀=m(x-x₀)
m=slope
(x₀,y₀)=(-4,7)
m=2/3
y-7=(2/3)(x+4)
Answer: y-7=(2/3)(x+4)
The length of the garden bed is 6 feet
<h3>The volume of a rectangular prism</h3>
The formula for calculating the volume of a rectangular prism is expressed as:
V = lwh
If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;
V = 3/4 * 18
V = 13.5 cubic foot
In order to determine the length of the garden;
135/10 = 9/2 * 1/2l
27/2 =9/4 l
18l = 27 * 4
18l = 108
l = 6 feet
Hence the length of the garden bed is 6 feet
Learn more on volume of rectangular prism here: brainly.com/question/24284033
Answer:
if jack uses 10 cups of sugar he will need to use 6 tsp of vanilla extract
Step-by-step explanation:
10 devided by 2 1/2= 4
and 1/2 multiplied by 4 is 6