Answer:
D) g(x) = 4x^2 because the given point works when it's plug in the equation.
Step-by-step explanation:
It's a vertical stretch so a>1 for the transformation
Definitely not C, since it's a shrink with 0<a<1.
Plug in the point to see which one works
g(x) = 16x^2
g(1) = 16. A is not right
B is the same thing to A
g(1) = (4*1)^2 = 16. So, B is also not right
For D:
g(1) = 4(1)^2 =4. Point (1,4) that's show on the graph works for this equation.
D is correct
Answer:
59.85
Step-by-step explanation:
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70
σ is the population standard deviation = 7
z = -1.45
Hence:
-1.45 = x - 70/7
Cross Multiply
-1.45 × 7 = x - 70
-10.15 = x - 70
x = -10.15 + 70
x = 59.85
Answer:
Base amount: $2,410.00
Interest Rate: 12% (yearly)
Effective Annual Rate: 12.68%
Calculation period: 3 years
$3,448.15
Step-by-step explanation:
The generic formula used in this compound interest calculator is
V = P(1+r/n)^(nt)
V = the future value of the investment
P = the principal investment amount
r = the annual interest rate
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
5,8,11,14,17,20,23,26,29,32,35,38,41
Add each number by 3
13th term is 41 ( first choice)
Y=mx+b or -2=-1 x 2+b, b= -2(-1)(2) b=0
Therefore the equation of the line is
y=-1x
