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Sergeu [11.5K]
3 years ago
14

What are the roots of the polynomial equation x2 + x- 72 =0

Mathematics
1 answer:
Alex17521 [72]3 years ago
5 0
First, you can factor them into (x-8)(x+9)=0 then set x-8=0 and x+9=0, in which you get X = 8 or X = -9
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If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
andrew11 [14]
<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

<h2>Why?</h2>

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

f(g(x))=(f\circ} g)(x)

So, the given functions are:

f(x)=x+7\\\\g(x)=\frac{1}{x-13}

Then, composing the functions, we have:

f(g(x))=\frac{1}{x-13}+7\\

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0
3 years ago
OK PLEASE HELP ME GUYS I ALWAYS HELP YOU so here it is
gtnhenbr [62]
F=P(1/2)^(t/h)
F=future amount
P=present amount
t=time elapsed
h=legnth of half life

P=96
t=2
h=1
F=96(1/2)^(2/1)
F=96(1/2)^2
F=96(1/4)
F=96/4
F=24 grams



grow by 35%
compound interest
F=P(1+rate)^time
F=95000(1+0.35)^10
F=95000(1.35)^10
F=95000(20.106555868618)
F=1910122.9075187  
8 0
2 years ago
|2x-5|=9 please awnser i need this for math
7nadin3 [17]

Answer:

7

Step-by-step explanation

2x = 14

divide by 2

8 0
1 year ago
Enter a range of values for x:<br> A<br> 12<br> D<br> 35°<br> 20°<br> B<br> 4X4<br> С<br> 1
MArishka [77]

Answer:

The correct answer to the question is;

1 < x < <u>4</u>

Step-by-step explanation:

The give parameters are;

ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°

Therefore, the two base angles are 62.5° each by definition of isosceles triangle

Given that the angle subtended by  4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;

4·x - 4 < 12

4·x < 12 + 4

∴ 4·x < 16

x < 16/4

x < 4

Therefore, the range is 1 < x < 4

7 0
2 years ago
11 You are renting a car for a trip. You call two different rental car places about prices. Each
Sonja [21]

Answer:

Step-by-step explanation:

m is number of miles

A: 45+0.21m (45 is the initial cost)

B: 28+0.38m (28 is the initial cost)

To know how in many miles the cost will be equal,

45+0.21m=28+0.38m

0.38m-0.21m=45-28

0.17m=17

m=17/0.17 = 100

So, at 100 miles the cost will be same for company A and B.

4 0
3 years ago
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