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3 years ago

8

use the leading coefficient and degree of the polynomial function f(x)=x^3-7x^2+10x to determine the end behaviour of its graph.

select all that apply

1 answer:

Masja [62]3 years ago

5 0

Answer:

The domain is all real numbers and the range is all real numbers as-well.

As x approaches infinity, so does y.

As x approaches -infinity, so does y.

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Which of the equations below could be the equation of this parabola?

Mademuasel [1]

Answer:

Option B: $y = -\frac{1}{2} x^2$

Step-by-step explanation:

The parabola has its concavity downwards, so we need a function in the model:

$y = ax^2 + bx + c$

With a negative value of 'a'

The vertex is (0,0), so we have that:

$0 = 0a + 0b + c$

$c = 0$

The x-coordinate of the vertex is given by the equation:

$x\_vertex = -b/2a$

$-b/2a = 0$

$b = 0$

So we have a function in the model:

$y = ax^2$

With a < 0

The only option with this format is B:

$y = -\frac{1}{2} x^2$

7 0

3 years ago

A campground consists of 5 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the wa

Anestetic [448]

To answer this question with the choices given, you would substitute the possible answers into your work for the base and the height of each dimension on the entire campground.

To find the length of the campground, you multiply each choice by 5 because there are 5 campsites.

For the width, you add each choice to 4.

Then you multiply the total length by the total width to see if your answer is 950 square yards.

See the attached picture for all the work.

7 0

3 years ago

Please help me ASAP .......

mariarad [96]

Answer:

<3 ~= <5 - Alternate Interior Angles Theorem

<3 ~= <7 - Corresponding Angles Theorem

<5 ~= <7 - Vertical Angles Theorem

line I || line m - Transitive Property

3 0

3 years ago

Find the slope between the points. (4,-2) and (8,5)

aksik [14]

Slope = m

Equation to find slope is:

m = (y2 - y1) / (x2 - x1)

2 points:
(4,-2) 4 = x1 and -2 = y1
(8,5) 8 = x2 and 5 = y2

So...

m = (y2 - y1) / (x2 - x1)

m = (5 - (-2)) / (8 - 4)

m = 7 / 4 or 1.75

Therefore, the slope of the line is 7/4 OR 1.75.

3 0

3 years ago

) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a

Mamont248 [21]

Answer:

Quarters = 10

Dimes = 15

Step-by-step explanation:

d = number of dimes, q = number of quarters

d + q = 25 is the equation for number of coins

0.1d + 0.25q = 4 is the equation for value of coins

First, solve for d in terms of q:

d + q = 25

d = 25 - q

Then substitute that into the other equation:

0.1(25 - q) + 0.25q = 4

2.5 - 0.1q + 0.25q = 4

0.15q = 1.5

q = 10

And back to d = 25 - q, d = 25 - 10 = 15

Check the math:

0.1(15) + 10(0.25) = 1.5 + 2.5 = 4

LMK if you have questions

4 0

3 years ago