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:
A
Step-by-step explanation:
Associative property:
(a+b)+c=a+(b+c)
(a*b)*c=a*(b*c)
Answer:
y = 17x
Step-by-step explanation:
By looking at the y-values of the table, we can see that they increase by 17 for every increase of 1 in the x-values.
This means are slope is 17.
We can prove this by plugging two points into the slope equation: (y₂ - y₁) / (x₂ - x₁)
(1, 17) & (3, 51)
(51 - 17) / (3 - 1)
Simplify the parentheses.
(34)/(2)
Divide.
17
Your slope is 17.
Plug this into your standard slope-intercept equation.
y = 17x + b
To find b, plug in a point to x and y. (1, 17)
17 = 17(1) + b
Multiply.
17 = 17 + b
Subtract.
b = 0
Your equation is: y = 17x + 0 or just y= 17x.
You can also tell by looking at the table. b is the y-intercept, or the value when x = 0. The table shows that when x = 0, y = 0. Therefore, b = 0.
Check your equation by plugging in the other point.
34 = 17(2)
34 = 34
Your equation is correct.
Hope this helps!
For how many years?
In any case I will give you the formula & you will plug into the number of years"
Remaining Value (or Salvage Value) = initial cost(1 - rate%)^n(number of years
Remaining value after n years = 15000(1-23%)^n
