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3 years ago

14

The function f(x) = x + 3 represents the length of a rectangle. The function g(x) = 12x − 5 represents the width of the rectangl

e. Use (f • g)(3) to determine the area of the rectangle.
186
37
31
6

1 answer:

Furkat [3]3 years ago

6 0

Answer:

186

Step-by-step explanation:

The area is given by ...

(f • g)(3) = f(3) • g(3) = (3+3) • (12•3 -5) = (6)(31)

(f • g)(3) = 186

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An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the

DedPeter [7]

<em><u>The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:</u></em>

$d = -16t^2 + 1000$

<em><u>Solution:</u></em>

<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the formula:</u></em>

$d = -16t^2 + 1000$

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

$-16t^2 + 1000 > 300$

Solve the inequality

Subtract 1000 from both sides

$-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700$

$16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61$

Time cannot be negative

Therefore,

t < 6.61

And the inequality used is: $-16t^2 + 1000>300$

6 0

3 years ago

Calculating a correlation can help describe a relation between two quantitative variables' ___ and ___ . However, it is not suff

Fittoniya [83]

Answer:

<u>direction</u>

<u>shape</u>

<u>scatter plots</u>

<u>shape and outliers</u>

Step-by-step explanation:

Correlation is defined as the degree of correspondence between two variables.

When the values increase together, correlation is positive and when one value decreases as the other increases, correlation is negative .

Calculating a correlation can help describe a relation between two quantitative variables' <u>direction</u> and <u>shape</u>. However, it is not sufficient to use a correlation coefficient to describe two variables. The addition of <u>scatter plots</u> can provide other helpful details such as <u>shape and outliers</u>

5 0

3 years ago

If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =

vodka [1.7K]

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0 x² + x + b = 0

a*1² +a*1 + 2 = 0 1² + 1 + b = 0

a +a + 2 = 0 1 + 1 + b = 0

2a + 2 = 0 2 + b = 0

2a = - 2 b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

6 0

3 years ago

Help!!!!!!!!!!!!!!!!!!!

nalin [4]

no clue, man. sorry. i really wish i understood it so i could help you

3 0

3 years ago

Fantom [35]

Answer:

C 109

Step-by-step explanation:

First add all the known angles inside the triangle first to get 109°

Then since all angles in a triangle add to 180°

you take away 109 from 180 so

180-109 which equals 71

Then since all angles on a straight line add up to 180°

you take 71 from 180 so

180-71 = 109

so x = 109°

8 0

1 year ago