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iogann1982 [59]
3 years ago
8

Will someone PLEASE check my answers asap?? will mark a brainliest!!

Mathematics
2 answers:
Vesna [10]3 years ago
8 0

All of your answers are correct, except the last one.

The last one is a system of linear equations that you can solve by using elimination:

x - y = -3

x + 3y = 5

Subtract the two equations:

-4y = -8

y = 2

Use y to solve for x:

x - (2) = -3

Add 2 to both sides:

x = -1

The answer for #4 is x = -1.

kotegsom [21]3 years ago
3 0

Answer:

1) 3

2) B

3) B

4) x=-1

Step-by-step explanation:

1) The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x-k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is 3.

2) Consider the function f(x)=4(7)^{2x}. Note that 7^{2x}=(7^2)^x=49^x. Then

f(x)=4\cdot 49^x.

3) The y-intercept of f(x) is point (0,-6), because f(0)=-6\cdot (1.02)^0=-6. The y-intercept of g(x) is point (0,-3). Then the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

4) From the first equation x=y-3. Substitute it into the second equation:

y-3+3y=5,\\ \\y+3y=5+3,\\ \\4y=8,\\ \\y=2.

Then x=2-3=-1.


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