MATHEMATICS HIGH SCHOOL

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

2) Find an equivalent function to f(x) = 4(7)2x.

A) f(x) = 282x
B) f(x) = 4(49)x
C) f(x) = 196x
D) f(x) = 16x(49)x

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

f(x) = −6(1.02)^x

x g(x)
−1 −5
0 −3
1 −1
2 1

Which equation 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).

4) What is the value of x in the solution to the following system of equations? (5 points)

x − y = −3
x + 3y = 5

For #1 i put in 3 as the answer.
For #2 i put B as the answer.
For #3 i put B as the answer.
For #4 i put 2 as the answer.

Answers

Answer 1

Answer:

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:

$y-3+3y=5,\n \ny+3y=5+3,\n \n4y=8,\n \ny=2.$

Then $x=2-3=-1.$

Answer 2

Answer:

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.

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A snail travels at a rate of 2.35 feet per minute. Write a rule to describe the function. How far will the snail travel in 5 minutes?a. d(t) = 5t; 11.75 ft
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Answers

If you would like to know how far will the snail travel in 5 minutes, you can calculate this using the following steps:

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The correct result would be d. d(t) = 2.35t; 11.75 ft.

How do you find the graph of f(x)= 5x-1/x-3 ?

Answers

$f(x)=(5x-1)/(x-3)=(5x-15+14)/(x-3)=(5x-15)/(x-3)+(14)/(x-3)=(14)/(x-3)+(5(x-3))/(x-3)=(14)/(x-3)+5\n\ny=(14)/(x)\n\n\Downarrow T_{\vec{a}=[3;\ 5]-translate\ 3\ units\ right\ and\ 5\ units\ up}\n\nf(x)=(14)/(x-3)+5$

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Skill: Calculate the surface area of a pyramid

Answers

Answer:

44.84

Step-by-step explanation:

The formula for this is lw + l √(w/2)^2 + h^2 + w * √(l/2)^2 = h^2

After that, you just input the values to get a total of 44.84 inches

Answer:

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Step-by-step explanation:

Admission to the county fair is $5. And it costs and additional $0.50 for each ride ticket. What inequality represents this problem

Answers

Y = 0.50x + 5.00 the base number being what everyone pays should be your b value and the number it increase by should be your m in the equation y=mx+b hope that helps:)

Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?a. x + 6 + 32 = 75
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Answers

To solve for the problem above, let x be the regular price of the shoe.
1/2x is the one-half price of the shoe then we add 6 for the pair of socks,
1/2x + 6, then lola has 32 left so we add that too, 1/2x + 6 + 32 = 75. The total amount of lola spent is 75 - 32, which is 1/2x + 6.

Answer:

The answer is C

ON edge

Step-by-step explanation:

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