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Elza [17]
3 years ago
12

What is the constant of variation for the quadratic variation? x=2,3,4,5,6 y= 32,72,128,200,288

Mathematics
1 answer:
Bad White [126]3 years ago
7 0
Hello,
y=a*x² ==>
32=a*2²==>a=32/4=8
72=a*3²==>a=72/9=8
128=a*4²==>a=128/16=8
200=a*5²==>a=200/25=8
288=a*6²==>a=288/36=8

Answer A: 8

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Malia owns 1 out of 3 gas stations in Jasper. In Webster, Abby owns 6/25 of the gas stations. Who owns a greater fraction of gas
Katarina [22]

Answer:

I think it would be Malia but if I'm wrong please let me know.

3 0
2 years ago
100 POINTS! I WILL GIVE BRAINLIEST! SHOW ALL WORK PLEASE!
pishuonlain [190]

Answer:

1. 2(3x−2)(2x−3)

2. 3(3x+1)(2x+5)

3. 2(4x+1)(2x−5)

4. 4(2x+1)(2x+7)

5. 5(3x+1)(2x−5)

6. 3(3x−7)(2x+1)

7. 3(5x+3)(3x−2)

8. 2(7x−2)(2x−5)

9. 2(7x−3)(2x−3)

10. 4(5x−11)(2x+1)

11. 5(x−2)(x+12)

12. (x−1)(x−8)

15. x=1 or x=4

Step-by-step explanation:

1. Factor 12x2−26x+12

12x2−26x+12

=2(3x−2)(2x−3)

2. 3(3x+1)(2x+5)

3. Factor 16x2−36x−10

16x2−36x−10

=2(4x+1)(2x−5)

4. Factor 16x2+64x+28

16x2+64x+28

=4(2x+1)(2x+7)

5. Factor 30x2−65x−25

30x2−65x−25

=5(3x+1)(2x−5)

6. Factor 18x2−33x−21

18x2−33x−21

=3(3x−7)(2x+1)

7. Factor 45x2−3x−18

45x2−3x−18

=3(5x+3)(3x−2)

8. Factor 28x2−78x+20

28x2−78x+20

=2(7x−2)(2x−5)

9. Factor 28x2−54x+18

28x2−54x+18

=2(7x−3)(2x−3)

10. Factor 40x2−68x−44

40x2−68x−44

=4(5x−11)(2x+1)

11. Factor 5x2+50x−120

5x2+50x−120

=5(x−2)(x+12)

12. Let's factor x2−9x+8

x2−9x+8

The middle number is -9 and the last number is 8.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -9

Multiply together to get 8

Can you think of the two numbers?

Try -1 and -8:

-1+-8 = -9

-1*-8 = 8

Fill in the blanks in

(x+_)(x+_)

with -1 and -8 to get...

(x-1)(x-8)

15. Let's solve your equation step-by-step.

(x−2)(x−3)=2

Step 1: Simplify both sides of the equation.

x2−5x+6=2

Step 2: Subtract 2 from both sides.

x2−5x+6−2=2−2

x2−5x+4=0

Step 3: Factor left side of equation.

(x−1)(x−4)=0

Step 4: Set factors equal to 0.

x−1=0 or x−4=0

x=1 or x=4

Sorry I wasn't able to do 13 and 14 but hope this helps! :)

8 0
3 years ago
A salesman sells between 15 and 25 cars per month. What is the best estimate of the number of cars he will sell in a year? Show
Zigmanuir [339]

Answer:

240 cars

Step-by-step explanation:

The salesman sells 15 to 25 cars per month. Average number of cars sold per month would be = (15+25)/2 = 20 cars per month

one year has 12 months

Number of cars sold in an year = monthly rate x no. of months

                                                    = 20 x 12

                                                    = 240 cars

7 0
3 years ago
What is the square Root of 136 in the nearest 10th
daser333 [38]

11.6 repeating rounded is 11.7

7 0
3 years ago
Suppose that 76% of Americans prefer Coke to Pepsi. A sample of 80 was taken. What is the probability that at least seventy perc
Anastasy [175]

Answer:

C. 0.896

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 80, p = 0.76

So

E(X) = np = 80*0.76 = 60.8

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80*0.76*0.24} = 3.82

What is the probability that at least seventy percent of the sample prefers Coke to Pepsi?

0.7*80 = 56.

This probability is 1 subtracted by the pvalue of Z when X = 56. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{56 - 60.8}{3.82}

Z = -1.26

Z = -1.26 has a pvalue of 0.1040.

1 - 0.1040 = 0.8960

So the correct answer is:

C. 0.896

4 0
3 years ago
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