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Viktor [21]
2 years ago
9

The graphs below have the same shape. What is the equation of the red graph?

Mathematics
2 answers:
MrMuchimi2 years ago
7 0

Answer:  The correct option is

(C) g(x)=x^2+2.

Step-by-step explanation:  Given that both the graphs shown have the same shape.

We are to find the equation of the red graph.

From the picture, we note that the equation of the blue graph is

f(x)=x^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

Also, the red graph is 2 units above the blue graph.

So, f(x) will be replaced by g(x) - 2 o find the equation for the red graph.

Therefore, we get from equation (i) that

g(x)-2=x^2\\\\\Rightarrow g(x)=x^2+2.

Thus, the required equation of the red graph is g(x)=x^2+2.

Option (C) is CORRECT.

Alex787 [66]2 years ago
4 0

Answer:

c

Step-by-step explanation:

since the axis of symmetry is 0, and the y intercept is 2, the answer should be c

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A paper recycling bin has the dimensions shown.use the expression s3 where s represents the length of a side to find the volume
ziro4ka [17]
I found a similar problem with its corresponding figure. It shows a recycling bin whose length is 1/2 meters, width is 1/2 meters, and height is 1/2 meters.

Based on the measure, the bin is a cube. Its volume formula is s³.

V = (1/2 m)³
V = 1/2 m * 1/2 m * 1/2 m
V = 1/8 m³

V = 0.5 m * 0.5m * 0.5m = 0.125 m³
0.125m³ =  1/8 m³

The volume of the paper recycling bin is 1/8 m³ or 0.125m³
4 0
2 years ago
The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?
irakobra [83]
Slope: 1.5
y-intercept: -2

Explanation:
The slope is the number attached to 'x' in the equation. In this case, 1.5 would be the slope because it's attached to x.

The y-intercept is the constant the number not attached to any variables. In this case, -2 is all by itself.

Hope that helps!

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4 0
1 year ago
Read 2 more answers
Alvin and Bala has 26 stickers.Alvin had 8 more stickers thab Bala.How many stickers did Bala have?​
Brilliant_brown [7]
Bala had 9 stickers

You could set this up as a equation. Because there was a total of 26 you would for sure put =26. Next you are told Alvin has 8 MORE than Bali, therefore you would be adding the unknown value of Bala by 8. This could be represented as x+8=26. Now that you have x added to 8 you need to add another x to the equation to fully represent the problem since Alvin has 8 more stickers than Bala does. The new equation would become 2x+8=26.

You must now isolate x by first subtraction 8 from both sides which will leave you with 2x=18. Then you divide on both sides by 2 and will leave you with x=9
3 0
2 years ago
A researcher in environmental science is conducting a study to investigate the impact of a particular herbicide on fish. He has
Vedmedyk [2.9K]

Answer:

The herbicide has no impact on fish

Step-by-step explanation:

Experimental research includes to divide the concerned group 'fishes' here into 'treatment' & 'control' group, to study impact of a treatment. Hypothesis test the statistical significance of  propositions. Null hypothesis signifies no impact, alternate hypothesis signifies impact.

Let averages enzyme level of treatment & control be Xt & Xc

  • Null Hypothesis [H0] : Xt = Xc, or Xt - Xc = 0
  • Alternate Hypothesis [H1] : Xt ≠ Xc, or Xt - Xc ≠ 0

If hypothesis test suggests that there is no significant difference between treatment & control group enzyme level, so we reject H0 & accept H1. It implies that the herbicide has no significant impact on fishes enzymes.

8 0
1 year ago
The graph shows the distance Kendrick walks in different lengths of time.
Vlad1618 [11]

Answer:

1) 5

2) 0.2

Step-by-step explanation:

The complete question is attached below.

The x-axis represents the time in hours and y-axis represents the distance in kilometers.

The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.

The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:

Kendrick walks 5 kilometers in 1 hour.

In next part, we have to find how much time Kendrick takes to walk 1 kilometer.

Since, we know that:

Kendrick walks 5 kilometers in time = 1 hour

Dividing both sides by 5, we can write:

Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour

So, Kendrick takes 0.2 hours to walk 1 kilometer.

7 0
2 years ago
Read 2 more answers
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