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3 years ago

Which phrase represents the algebraic expression – 0472

1 answer:

4 0

The product of one-fourth and a number plus 7 - 7.25
The product of 7 and a number - 11
The product of one-fourth and seven, plus a number - 11.25
The product of seven and one-fourth - 7.25

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What would result from slicing a rectangular pyramid perpendicular to the base?

Nikitich [7]

Answer: the answer to this question is a triangle.

Step-by-step explanation:

If you sliced the pyramid to the base there would still be a triangle left.

3 0

3 years ago

A parabola can be drawn given a focus of

grigory [225]

The equation of parabola is y = -8(x -3)² - 9.

<h3>Define parabola.</h3>

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

Given Data

Focus = (3, -9)

Directrix: y = -5

The focus-passing line has an equation of x = -5 that is perpendicular to the directrix. The symmetry line of a parabola is seen here.

The parameter of the parabola is the separation between the focus and the directrix, so

p = -9 - 3

p = -12

p = 12

The distance between the focus and the directrix is divided into two equal portions by the parabola's vertex, which is located on the line of symmetry. Its coordinates are as follows: (3,-9).

Since a parabola moves in the opposite direction of y, its equation is

y -(-9) = -2(4(x -3)²)

y + 9 = -8(x-3)²

y = -8(x -3)² - 9

The equation of parabola is y = -8(x -3)² - 9.

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4 0

1 year ago

What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6

Mashutka [201]

The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.

4 0

4 years ago

Find the slope of the line. On a coordinate plane, a line goes through (0, negative 6) and (2, 0). a. Negative one-third c. 3 b.

statuscvo [17]

The slope of the line that passes through between (0, -6) and (2, 0) is: C. 3.

<h3>What is the Slope of a Line?</h3>

The slope of a line can be defined as the measure of the ratio of the vertical distance to the horizontal distance that exists between two points on a coordinate plane.

<h3>How to Find the Slope of a Line?</h3>

If we are given two points on a line, (x1, y1) and (x2, y2), the slope (m) is the rise/run = change in y / change in x = (y2 - y1)/(x2 - x1).

Given the following coordinates of two points as follows, (0, -6) and (2, 0), let:

(0, -6) = (x1, y1)

(2, 0) = (x2, y2)

Plug in the values into the slope formula to find the slope:

Slope (m) = (0 - (-6)) / (2 - 0)

Slope (m) = (0 + 6) / (2 - 0) [minus multiplied by minus is plus]

Slope (m) = (6) / (2)

Slope (m) = 3

Thus, the slope of the line that passes through between (0, negative 6) and (2, 0) is calculated as: C. 3.

Learn more about slope on:

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5 0

2 years ago

A major corporation is building a 4325 acre complex of homes, offices, stores, schools, and churches in the rural community of G

denis23 [38]

Answer:

1) P(0) = 5000

2) P(t --> ∞) = 25000

Step-by-step explanation:

P(t) = (25t² + 125t + 200)/(t² + 5t + 40)

1) Population at the moment corresponds to population at t = 0

P(0) = (25(0²) + 125(0) + 200)/(0² + 5(0) + 40) = (0 + 0 + 200)/(0 + 0 + 40) = 5 thousand = 5000 (P was stated to be in thousands)

2) Population in the long term corresponds to the population as t --> ∞

P(t) = (25t² + 125t + 200)/(t² + 5t + 40)

Divide through the numerator and denominator by t²

P(t) = (25 + (125/t) + (200/t²))/(1 + 5/t + (40/t²))

P(t --> ∞) = (25 + 0 + 0)/(1 + 0 + 0) (Since, (1/∞) = 0)

P(t --> ∞) = 25 thousand = 25000

3 0

4 years ago