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3 years ago

The graph shows f(x) and its transformation g(x)

Mathematics

2 answers:

Paladinen [302]3 years ago

6 0

Just took the quiz the answer is

g(x)=(1/2)×-9+5

KATRIN_1 [288]3 years ago

3 0

The curve for f(x) and g(x) have the same shape but only differs in their position relative to the y and x-axis. With respect to the y-axis, it shifted 5 units upward. With respect to the x-axis, it shifted 9 units to the right. Since the right hand side is equal to y, we add +5 to the right. Similarly, since the left hand side is equal to x, we add +9 to the left. If we transpose this to the right,it becomes -9. So the equation for g(x) is: g(x)=(1/2)^x−9+5

You might be interested in

Explain two methods for solving an equation. Give an example.

svlad2 [7]

For solving system of equations, we can use either substitution where we plug one equation into the other, or elimination where we combine the equations.

- Using elimination, you would to eliminate one variable from both equations, so you automatically would get one equation with one variable!

- Using substitution means you are going to solve one equation for one variable and substitute with its value in the other equation in order to get also an equation with one variable.

Let's take an example ...

y+x=2 and y-2x = 1

Using elimination, we need to subtract these two equation; one from the other...

y+x=2
-
y-2x=1
-----------
0+3x=1

then x=1/3

and then substitute into any equation to get y-value
y+x=2
y+1/3 = 2 >>>>> y=5/3

NOW...Using substitution
y+x=2 and y-2x = 1 >>(y=1+2x)

Plug (y=1+2x) into y+x=2 and solve for x
y+x=2
(1+2x) + x =2
1+3x = 2
3x=1

again (and for sure) x = 1/3

plug in x=1/3 into any of the equations above to get y:
y+x=2
y+1/3=2
y=5/3

DOne !!!!!!

I hope you got the idea

If you still need help, just let me know.

7 0

3 years ago

How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000

SVEN [57.7K]

Answer:

16,17,18,19

Step-by-step explanation:

one guy guessed. probably using a calculator

another guy took the 4th root of 100,000 and rounded down a number

(a third way started like this

n*(n+1)*(n+2)(n+3)=100000

4 0

2 years ago

According to a survey of workers 6/50 of them walk to break 3/50 bike 10/50 carpool and 31/50 Drive alone what percent of worker

otez555 [7]

Answer:

Step-by-step explanation:

6+3=9/50

9/50 x 100=18 percent

7 0

2 years ago

Find the distance between (6, 0) and (10, 3).

yulyashka [42]

A 5 units I believe

6 0

2 years ago

Read 2 more answers

The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)

zhenek [66]

Answer:

Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

m=y1−y0x1−x0 [1]

The equation f(2)=−1 tells us that x0=2andy0=−1; substitute this into equation [1]:

m=y1−−1x1−2 [2]

The equation f(5)=4 tells us that x1=5andy1=4; substitute this into equation [2]:

m=4−−15−2 [3]

m=53

Substitute 53 for m into the equation y=m(x)+b

y=53x+b [4]

Substitute 2 for x and -1 for y and the solve for b:

−1=53(2)+b

b=−133

Substitute −133 for b in equation [4]:

y=53x−133 [5]

Check:

−1=53(2)−133
4=53(5)−133

−1=−1
4=4

Hope this helps

3 0

2 years ago