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ozzi
3 years ago
7

We never went over this in class and I need help

Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

<h2>-2 units per unit increase in x</h2>

Step-by-step explanation:

The average rate of change of a function f(x) on a given interval [a, b] is:

                    f(b) - f(a)

a. r. of c.  = ----------------

                        b - a

Here a = -1 and b = +1.  The function f(x) is given graphically.  Note how f(a) = f(-1) = 4 and how f(b) = f(+1) = 0.

In this case, the a. r. of c. is:

                       0 - 4             -4

a. r. of c. = ---------------- = ---------- = -2 units per unit increase in x

                       1 - (-1)             2

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If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a
Crank

Answer:

m_2 = -\frac{3}{4} -- (a)

m_2 = -\frac{7}{3} -- (b)

m_2 = -\frac{1}{4} --- (c)

m_2 = -3 -- (d)

Step-by-step explanation:

Given

a.\ m = \frac{4}{3}

b.\ m = \frac{3}{7}

c.\ m = 4

d.\ m = \frac{1}{3}

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

m_2 = -\frac{1}{m}

This formula will be applied in solving these questions.

a.\ m = \frac{4}{3}

m_2 = -\frac{1}{m}

Substitute 4/3 for m

m_2 = -\frac{1}{4/3}

Express as a proper division

m_2 = -1/ \frac{4}{3}

Convert to *

m_2 = -1* \frac{3}{4}

m_2 = -\frac{3}{4}

b.\ m = \frac{3}{7}

m_2 = -\frac{1}{m}

Substitute 3/7 for m

m_2 = -\frac{1}{3/7}

Express as a proper division

m_2 = -1/ \frac{3}{7}

Convert to *

m_2 = -1* \frac{7}{3}

m_2 = -\frac{7}{3}

c.\ m = 4

m_2 = -\frac{1}{m}

Substitute 4 for m

m_2 = -\frac{1}{4}

d.\ m = \frac{1}{3}

m_2 = -\frac{1}{m}

Substitute 1/3 for m

m_2 = -\frac{1}{1/3}

Express as a proper division

m_2 = -1/ \frac{1}{3}

Convert to *

m_2 = -1* \frac{3}{1}

m_2 = -\frac{3}{1}

m_2 = -3

4 0
3 years ago
A manufacturing company produces two sizes of cylindrical containers that each have a height of 50 centimeters. The radius of Co
ira [324]

Answer:

Volume of B=62800cm^3

Step-by-step explanation:

We are given  

Height = 50 cm

Radius of A=16cm

Radius of Cylinder B is 25% more than that of A

Radius of B = 16 + \frac{25}{100}*16 cm =16+4= 20 cm

Volume of cylinder B = pi*r^2*h

                                   =3.14 * (20)^2*50

                                    =62800cm^3

3 0
3 years ago
Evaluate x(– y + z ) for x = 3, y = 3, and z = 1.
Irina18 [472]
Here, = x(-y + z)
Just substitute the values, 
= 3( -3 + 1)
= 3( - 2)
= -6

In short, Your Answer would be -6

Hope this helps!
6 0
3 years ago
Read 2 more answers
What is the value of x?
SOVA2 [1]

Answer:

x= 32

Step-by-step explanation:

if x+4x-20 = 180

  5x=160

    <u>x=32</u>

3 0
3 years ago
PLEASE SOMEONE HELP IM SO CLOSE TO BEING DONE FOR THE YEAR <br> NO LINKS OR FILES
8_murik_8 [283]

Answer:

Step-by-step explanation:

The negative out front only tells us which way the parabola will open. That means that the first one will open upside down, since it's got a negative out front. The value of the number that serves as the leading coefficient (the number stuck to the x-squared) determines how steep or wide-open the parabola's shape is. The leading coefficient in the first one is a 1, so it opens up exactly as wide as its parent graph does. The leading coefficient in the second one, a 2, means that the parabola will be skinnier or narrower than its parent. If the leading coefficient is greater than 1, the parabola will be narrower than its parent; if the leading coefficient is greater than 0 but less than 1, the parabola will open wider than its parent.

6 0
3 years ago
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