Answer: 3/2
Step-by-step explanation:
Just take the length of 1 side, for example LP, and count the length in units.
LP = 8 units
Now, L’P’ = 12 units, so divide the length of L’P’ by LP to get the factor of dilation.
12/8 = 3/2
6 is the correct answer beca both lines intersect at y=6
Answer:
D. $2071.20
Step-by-step explanation:
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be $23.71 per thousand borrowed. The sum of those 48 payments is ...
48 × $23.71 = $1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000, so his total finance charge will be ...
finance charge = 15 × $138.08 = $2071.20 . . . matches choice D
Go to wolframalpha.com for all of your math needs not kidding it does all of the work for you.
Answer:
p(x): y-intercept is 4; the base is 3; the equation is p(x) = 4(3^x)
q(x): y-intercept is 4; the base is 2; the equation is p(x) = 4(2^x)
Step-by-step explanation:
<em>The y-intercept of both graphs is 4</em>
The standard exponential function equation is
y = ab^x
We need to find a and b for each function.
For each graph, we use two points to find a and b in the standard exponential function equation.
p(x)
y = ab^x
Use point (0, 4)
4 = ab^0
4 = a * 1
a = 4
y = 4(b^x)
Use point (1, 12)
12 = 4(b^1)
b = 12/4
b = 3
<em>The base is 3.</em>
<em>p(x) = 4(3^x)</em>
q(x)
y = ab^x
Use point (0, 4)
4 = ab^0
4 = a * 1
a = 4
y = 4(b^x)
Use point (1, 8)
8 = 4(b^1)
b = 8/4
b = 2
<em>The base is 2.</em>
<em>q(x) = 4(2^x)</em>
