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NARA [144]
2 years ago
15

The graph of g(x), shown below, is a vertical shift of the graph of f(x) = 2x.

Mathematics
1 answer:
4vir4ik [10]2 years ago
3 0

The equation which represents the given graph g(x) is 2ˣ-1.

<h3>What is Equation?</h3>

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, given graph passes through origin.

Put x = 0 in all the given equation and verify which equations gives result as zero.

Put x = 0 in option A

g(0) = 2⁰⁺¹ = 2 ≠ 0

in option B

g(0) = 2⁰-1 = 1 - 1 = 0

Thus, option B g(x) = 2ˣ-1 is the correct expression for the given graph.

Learn more about Equations from:

brainly.com/question/10413253

#SPJ1

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Find all possible values of x in the similar triangles pqr stu
antoniya [11.8K]
If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20) 
               cross multiplying,
         7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
          6x² +15x -75=0
          solving for x,
    x = 5/2 or -5 
5 0
2 years ago
The revenue of a company that makes backpacks is given by the formula R = 34.S0x, where x represents the number of backpacks sol
alexgriva [62]

Answer:

Revenue = 1380

Step-by-step explanation:

Given:

Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.

Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.

The revenue received from selling 'x' backpacks is given as:

R=34.50x

Number of backpacks sold (x) = 40

Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.

On plugging 40 for 'x', we get:

R=34.50\times 40\\\\R=1380

Therefore, the revenue received by the company on selling 40 backpacks is 1380.

8 0
3 years ago
Which term describes the slope of the line below?
saul85 [17]

Answer:

negative

Step-by-step explanation:

looking at the slope of the straight line, a positive slope will begin on the 1st quadrant and end at the 3rd quadrant

meaning if the slope is negative, it will begin on the 2nd quadrant and end on the 4th quadrant

5 0
2 years ago
Read 2 more answers
Ms. Ramos has
oksian1 [2.3K]

Answer:

63

Step-by-step explanation:

4 0
3 years ago
On a 1‐mile walking tour of New York City, a group had to take a detour that was 300 yards shorter than half the distance of the
tresset_1 [31]

Answer:

580 yards long.

Step-by-step explanation:

The distance of the walking tour is = 1 mile

Step 1

We have to convert 1 mile to yards

Therefore ,

1 mile = 1760 yards

Step 2

We are told that the group took a detour that was 300 yards shorter than half the distance of the tour.

The second step would be to find out how many yards is equal to half the distance of the tour.

Half the distance of the tour = 1/2 of a mile

And in step 1 we have converted whole distance of the tour to yards

= 1 mile = 1760 yards.

Hence, Half the distance of the tour = 1760 yards ÷ 2

= 880 yards.

Step 3

The group took a detour that was 300 yards shorter than half the distance of the tour.

This means mathematically,

Half the distance of the tour - 300 yards

= 880 yards - 300 yards

= 580 yards.

Therefore, the detour was 580 yards long.

7 0
3 years ago
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