Question

The functions f(x) and g(x) are described using the following equation and table.

f(x) = 4(1.02)x

x g(x)
-1 -4
0 6
1 8
2 10

Which statement best compares the y-intercepts of f(x) and g(x)?

A. The y-intercept of f(x) is equal to the y-intercept of g(x).

B. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

C. The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).

D. The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Answer 1

Is the first row in the table typed incorrectly? I think it should be g(x) = 4 (not -4) for x = -1, because then g(x) will be a linear function

Answer 2

@navk yes its typed correctly.

Answer 3

if you plot the points for g(x), you can see that its y-coordinate is 6

Answer 4

f(x) has a y-intercept at x = 0
\[f(0) = 4(1.02))^0 = 4(1) = 4\]

Answer 5

would it be A or D? i'm
kind of stuck.

Answer 6

y-intercept of g(x) = 6
y-intercept of f(x) = 4
so D

Answer 7

ok i see thank you. Can you help with a few more if possible??

Answer 8

np

Answer 9

A. 7 1/2
B. 7 8/15
C. 7 5/3
D. 7 2/15

Answer 10

i have no idea what the answer would be.

Answer 11

it is cube root of 7 over fifth root of 7, which can be written as \[\frac{7^{1/3}}{7^{1/5}}\]then subtrat the exponents 1/3-1/5=2/15

Answer 12

thanks! i understand.

Answer 13

great!

Answer 14

What is the value of x in the solution to the following system of equations?

x − y = −3
x + 3y = 5

Answer 15

To get the value of x, you need to get rid of y. Any ideas how to do that ?

Answer 16

not exactly

Answer 17

subtract 5 from 3??

Answer 18

no first you have to multiply the first equation by 3 so that in both equations the coefficient of y becomes the same, that is, 3

Answer 19

So you get 3*{x − y = −3} = 3x - 3y = -9

Now add this and the second equation to get
{3x - 3y} + {x + 3y} = -9 + 5
4x = -4
x = -1

Answer 20

ahh.... ok