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3 years ago

Alinehasa

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

Answer:

y =6

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We have a y intercept of 6 and a slope of zero

y = 0*x +6

y =6

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The Table below shows the number of hours ten students spent studying for a test and their svores

wlad13 [49]

Answer:

Step-by-step explanation:

By using linear regression calculator,

Linear regression equation representing the data set will be,

y = 7.79x + 34.27

Correlation coefficient of the line will be,

R = 0.98

Since, correlation coefficient of the line is (+0.98), relation between the two variables is a strong linear relationship.

That means hours spent studying has the strong relation with test scores obtained.

5 0

3 years ago

Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k

Nuetrik [128]

Answer:

$\displaystyle k = \frac{34}{3}$

Step-by-step explanation:

We are given the polynomial:

$\displaystyle P(x) = 3x^3 - kx^2 + 5x + k$

And we want to determine the value of k such that (x - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (x - 2). Thus, a = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

$\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k \end{aligned}$

This must equal zero. Hence:

$\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3} \end{aligned}$

In conclusion, k = 34/3.

6 0

2 years ago

Jane left the school and started to bike along the road at a rate of 12 mph. Her friend Sally left the school 10 minutes after J

lorasvet [3.4K]

Answer:

10/3 hours

Step-by-step explanation:

12x=15x-10

12x-15x=15x-10-15x

-3x=-10

-3x/-3=-10/-3

x=10/3

4 0

3 years ago

Read 2 more answers

Which tiles should be added to the model below to make zero?

Blizzard [7]

Answer:

6 positive tiles

Step-by-step explanation:

6-6 is zero

7 0

3 years ago

HELP ME PUT THESE IN ORDER TO LEAST TO GREATEST PLS ( i will give breanliest) HELP PLS

gregori [183]

Answer: $\sqrt{40}$ , $7\frac{1}{5}$ , $3\sqrt{6}$ , 15/2, 7.5

Step-by-step explanation: This is a bit tricky because 15/2 is equal to 7.5 !!

√40 = 6.32455532

7 1/5 = 7.2

3√6 = 7.348469228

15/2 = 7.5

7.5 = 7.5

6 0

3 years ago

Read 2 more answers