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2 years ago

Write an equation of the line that passes through the points (-2,-7) and (0,-4).

Mathematics

1 answer:

yaroslaw [1]2 years ago

5 0

Answer:

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

( $x_{2}$ , $y_{2}$ )

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

y - $y_{1}$ = m( x - $x_{1}$ ) point - slope form of a line.

y = mx + b slope- intercept form of a line.

~~~~~~~~~~~~~~~~~

( - 2, - 7 )

( 0, - 4 )

m = $\frac{- 4 - (-7)}{0 - (- 2)}$ = $\frac{3}{2}$

y - ( - 4 ) = $\frac{3}{2}$ ( x - 0 )

y + 4 = $\frac{3}{2}$ x

y =  $\frac{3}{2}$  x - 4 slope- intercept form

3x - 2y = 8 standard form

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What is the domain of g

irakobra [83]

Answer:

We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Step-by-step explanation:

We know that the domain of a function is the set of inputs or argument values for which the function is defined.

From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.

It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.

Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

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3 years ago

Please help! Apex. Which choice is the solution to the inequality below?

ehidna [41]

The correct answer is C

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2 years ago

Hi. I need help with these questions. See image for question.

Oduvanchick [21]

Step-by-step explanation:

Given

f(x) = 4x³ + 3x² - 2x - 1

Divide it by the following:

(a) 2x + 1

4x³ + 3x² - 2x - 1 =
(4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
(2x + 1)(2x² + 1/2x - 5/4) + 1/4

Quotient = 2x² + 1/2x - 5/4

Remainder = 1/4

(b) 2x - 3

4x³ + 3x² - 2x - 1 =
(4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
(2x -3)(2x² + 4.5x + 5.75) + 16.25

Quotient = 2x² + 4.5x + 5.75

Remainder = 16.25

(c) 4x - 1

4x³ + 3x² - 2x - 1 =
(4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
(4x - 1)(x² + x - 1/2) - 3/2

Quotient = x² + x - 1/2

Remainder = - 3/2

(d) x + 2

4x³ + 3x² - 2x - 1 =
(4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
(x + 2)(4x² - 5x + 8) - 17

Quotient = 4x² - 5x + 8

Remainder = - 17

8 0

2 years ago

Read 2 more answers

4. Which of these non-terminating decimals can be converted into a rational number? A. 0.874387438743... B. 0.0000100020003... C

Umnica [9.8K]

Answer: A. 0.874387438743.. is a rational number.

Step-by-step explanation:

Since Any number that can be written in fraction form is a rational number if it can be in the form of p/q where p and q are integers and q≠0

Since we can write 0.874387438743... = $\frac{8743}{9999}$

Where, 8743 and 9999 are integers and 9999≠0

Thus, 0.874387438743... is a rational number.

But, 0.0000100020003... , 5.891420975..... and 10.07401259... can not be written in the form of p/q therefore they are not the rational number.

Therefore, Only Option A is correct.

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3 years ago

Evaluate the expression. −3/(−3)^2

Ivenika [448]

Answer: i'm not sure i wrote the problem out correctly but if this helps please give me a thanks!

Step-by-step explanation:

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3 years ago

Write an equation of the line that passes through the points (-2,-7) and (0,-4). ​

Write an equation of the line that passes through the points (-2,-7) and (0,-4).