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Semenov [28]
3 years ago
11

What equation represents the proportional relationship displayed in the table?

Mathematics
2 answers:
Georgia [21]3 years ago
8 0

Hey there!

To find the slope, we can use the slope formula rise over run. The rise is the change in y, and the run is the change in x.

Let's use the first 2 values for x and y.

The change in y is positive 10, and the change in x is positive 2.

10 ÷ 2 = 5

This means the slope of the equation is 5.

Since the relationship is proportional, there is no y-intercept.

<u>The equation is y = 5x.</u>

Hope this helps!

Lera25 [3.4K]3 years ago
3 0
The equation that best represents the data that is in the table is y = 5x. You can corroborate it by substituting the x values of the table and verifying that you get the "y" values
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-12x2 + 45x + 12
bazaltina [42]

Answer:

3(4x + 1)(x - 4) Answer choice B

Step-by-step explanation:

-12x^2 + 45 + 12

You would take out the -3 in the equation.

-3(4x^2 -15x - 4)

You can then multiply the first 4 and the last -4 and get a -16. You can then find two numbers that would multiply to -16 and add to -15.

You would do this by listing the factors of -16, which the numbers 1 and -16 would work.

You would then substitute each value in for the 17x and add them together, which this is just separating the value 17x.

3(4x^2 - 16x + x - 4)

3(4x^2 - 16x)(x - 4)

You can then take ou ta four for the first function in the parentheses.

3(4x(x - 4) 1(x - 4))

Then you take the function from the outside and the inside.

3(4x + 1)(x - 4)

The answer to the question would be B.

8 0
3 years ago
A survey asked people if they were aware that maintaining a healthy weight could reduce the risk of stroke. A 97% confidence int
Natalija [7]

Answer:

97% confidence interval for the survey is between a lower limit of 0.45 and an upper limit of 0.67

Step-by-step explanation:

Confidence Interval is given by the mean + or - error margin

The lower limit of the confidence interval is found by subtracting the error margin from the mean.

The upper limit is obtained by adding the error margin to the mean.

The interpretation is that the mean is between 0.45 and 0.67

5 0
3 years ago
Last year, Kristen went bowling several times and earned an average score of 84 points. This year, she improved her score to an
Viktor [21]

Answer:

percentage increase in Kristen's average score is = 25%

Step-by-step explanation:

Given:-

- The last year score, Si = 84 points

- This year score, Sf = 105 points

Find:-

What is the percent of increase in Kristen's average score?

Solution:-

- We are to determine the percentage increase in Kristen's average score from last year.

- The relation to develop percentage increase "%inc" is given by:

                              %inc = \frac{Sf - Si }{Si}*100

- plug in the values:

                              inc = \frac{105 - 84 }{84}*100\\\\inc = 25

- The percentage increase in Kristen's average score is = 25%

8 0
3 years ago
-8=-(x+4) what is the answer
Tems11 [23]
Step 1: Flip the equation.
−
x
+
4
=
−
8
Step 2: Subtract 4 from both sides.
−
x
+
4
−
4
=
−
8
−
4
−
x
=
−
12
Step 3: Divide both sides by -1.
−
x
−
1
=
−
12
−
1
x
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Answer:
x
=
12
5 0
3 years ago
How do I solve this problem?
kondor19780726 [428]

Answer:

Its A

Step-by-step explanation:

4/5 - 0.5     Convert the fraction to a decimal:-

= 0.8 - 0.5

= 0.3

6 0
3 years ago
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