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wlad13 [49]
3 years ago
15

A line with a slope of -2 passes through the point (-2, -1). What is its equation in slope-intercept form?

Mathematics
1 answer:
Paha777 [63]3 years ago
3 0

Answer:

y = -2x -5

Step-by-step explanation:

y - y1 = m (x - x1)

y + 1 = -2 (x + 2)

y + 1 = -2x -4

y = -2x -5

Hope this was helpful :)

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Function (True/False)
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Answer:

yes it is a function

Step-by-step explanation:

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In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

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Answer:

50 + 100n  

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The cost is the cost of the visit plus the cost of the cavities

50 + 100n  where n is the number of cavities

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Maria walked 3 km west and 4 km south calculate how far she is from her starting point.
Rufina [12.5K]

Answer:

5 km

Step-by-step explanation:

We are given the distances walked by Maria;

  • 3 km west and 4 km south

We are required to determine the displacement from her starting point;

  • We are going to use Pythagoras's theorem;

a² + b² = c²

Taking, the distances towards south and towards west as the legs of the triangle;

Then, c² = 3² + 4²

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Without using a calculator, determine the number of real zeros of the function
kumpel [21]

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

Read more about functions at:

brainly.com/question/7784687

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