The first part is 1325
10 x 35=350
15 x 65=975
The you add them which equals 1325
The function g(x)=4(x+3)² - 68 is mapped to 32.
<h3>What is equation?</h3>
An equation is a mathematical expression in terms of one or more unknown variable.
Given are the following functions:
f(x)= - 3x² - 4
g(x)= 4(x+3)²-68
f(x)= 3x
f(x)= 2x-62
To get the mapped function, we substitute the value of x in all function,
a) f(x)=-3x²- 4
Put x=2,
f(2)= -3 (2)² - 4
f(2)= -16
It is not mapped.
b) g(x)=4(x+3)² - 68
Put x=2,
g(2) = 4(2+3)² - 68
g(x) =32
It is mapped to 32.
c) f(x)=3x
Put x=2,
f(2) = 3 x 2 =6
It is not mapped.
d) f(x)=2x - 62
Put x=2,
f(2) =2x2 -62
f(2) = -58
It is not mapped.
Therefore, the function g(x)=4(x+3)² - 68 is mapped to 32.
Learn more about equations.
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Answer:
cubic units.
Step-by-step explanation:
Let m represent length of the rectangular prism.
We have been given that the width of a rectangular prism is six times its length, so width of the prism would be 
.
We are also told that the height is five times its length, so height of the prism would be 
.
We know that volume of rectangular prism is height times width times length.
Therefore, the volume of the given rectangular prism would be cubic units.
Answer:
5
Step-by-step explanation:
If you draw a rectangle, the lenght is 6. So both sides should be 6.
6+6=12.
22-12= 10.
10 divided by 2 is equal to 5.
<h2>5 is the answer.</h2>
First we have to figure out the slop of the given equation:
-1x+2y+2=0
y=1/2x - 1
So the slope is 1/2. A line perpendicular to this line has a slope of the negative reciprocal of this slope. So the slope of the line you want to find is -2.
So: y +3 = -2(x+3).
And you can expand into the form that you want (or just keep it this way). :)
