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2 years ago

Estimate the line of best fit using two points on the line.

Mathematics

2 answers:

Oduvanchick [21]2 years ago

8 0

Answer:

Step-by-step explanation:

Slope of the line=(6-8)/(9-6)=-2/3. The equation of the line is y=(-2/3)x+12

mash [69]2 years ago

5 0

Answer:

B. y = -2/3x + 12

Step-by-step explanation:

Formula to find the slope when given two points on a line:

y2 - y1

x2 - x1

Substitute the two given points (6, 8) (9, 6):

6 - 8

9 - 6

Slope = -2/3x

We found the slope! And the answer choices already gave us one y-intercept, which is 12. The last thing we do is we form an equation with the information we solved and that was given to us.

y = slope (x) + y-intercept

y = -2/3x + 12

The answer choice that matches this equation is B.

In conclusion, the equation that best estimates the line of best fit shown above is answer choice B.

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The regular price of a baseball hat is $15.65. If Julio buys the baseball hat on sale for 20% off the regular price, how much ch

larisa [96]

Begin by multiplying $15.65 by 0.20 to find what 20% of the regular price is. This gives you 3.13, which in this situation means $3.13.
To find the price with discount subtract 15.65-3.13. This gives you $12.52.
To find out the change, subtract 20-12.52. This gives you $7.48.
So, he will receive $7.48 in change.
Hope this helps!

8 0

2 years ago

The quotient of the cube root of x and nine

miss Akunina [59]

Answer:

$\frac{ \sqrt[3]{x} }{9}$

Quotient means the answer after dividing two numbers.

8 0

3 years ago

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago

A sports equipment store rents road bikes for $23 an hour.

kobusy [5.1K]

Answer:

$24,840

Step-by-step explanation:

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6 0

3 years ago

An item costs $380 before tax and the sales tax is $7.60 find the sales tax rate write your answer as a percentage

Margaret [11]

The rate is 7.60/380*100=2%

7 0

3 years ago