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3 years ago

Find the slope of the line.

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

0.5

Step-by-step explanation:

From the figure the line passes through the points (0,2) and (4,4).

The slope of the line that passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ is always

$m=\dfrac{y_2-y_1}{x_2-x_1}.$

Therefore, the slope of the graphed line is

$m=\dfrac{4-2}{4-0}=\dfrac{2}{4}=\dfrac{1}{2}=0.5.$

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The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city

Tresset [83]

The quadratic regression equation for this data set is $\rm y=-0.143x^2+0.59x+2.82\\$ .

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

$\rm ax^2+bx+c=0$

Where; a, b, and c are the constants.

x; 0 1 2 3 4 5

y; 2.82 3. 29 3. 46 3. 33 2. 88 2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

$\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82$

From the table when the value of x = 3 the value of y is 3.33.

$\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\$

From the table when the value of x = 5 the value of y is 2.24.

$\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143$

And the value of b is;

$\rm b=3a\\\\b=3(-0.14)\\\\b=0.59$

Therefore,

The quadratic regression equation for this data set is;

$\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\$

Hence, the quadratic regression equation for this data set is $\rm y=-0.143x^2+0.59x+2.82\\$ .

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

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3 years ago

Sin70° cos80° + cos70° sin80°

kirill [66]

The answer for your question is (1/2) and alternate form is 0.5 and 2^-1

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3 years ago

The Harper family drove 510 miles on their vacation. Mr. Harper and Mrs. Harper took turns driving. Mr. Harper drove 4 times as

Korvikt [17]

Mrs. Harper drove 102 miles and Mr. Harper drove 408. Am I right?

6 0

4 years ago

Read 2 more answers

Find the LCD 4/7 and 3/5

masya89 [10]

I would multiply 4/7 by 5 and 3/5 by 7 to get 20/35 and 21/35. The Least Common factor is 35

6 0

3 years ago

An item costs $15. the sales tax is 6%.what is the cost of the item after taxes

ludmilkaskok [199]

Answer:

15.9

Step-by-step explanation:

I don't know if this is right I'm sorry if it isn't.

15×0.06=0.9

15+0.9= 15.9

Again I am sorry if it is not right, please let me know if it was right

7 0

3 years ago