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3 years ago

What are the zeros of f(x)=x^2-12+36

Mathematics

1 answer:

DochEvi [55]3 years ago

3 0

Answer:

x = 6

Step-by-step explanation:

I think it's supposed to be

y = x² - 12x + 36

Set the equation equal to zero and solve...

0 = x² - 12x + 36

Now factor. What 2 numbers add to -12, and multiply to 36?

-6 and -6, so our factors are

0 = (x - 6)(x - 6)

0 = x - 6, then

6 = x

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Answer:

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Step-by-step explanation:

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3 years ago

Find the range of the function for the given domain. f(x) = 2x - 7 ; {-2, -1, 0, 1, 2}

Studentka2010 [4]

The domain is a discrete set. So we will have a discrete range.

The range is a set containing:

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4 years ago

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

rusak2 [61]

Answer:

$x=30\\y=68\\z=82$

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

$y+z=5x$

The third angle is 14 more than the second

$z=y+14$

And remember that the sum of these three angles must be equal to 180.

$x+y+z=180$

Let's take these equations

$y+z=5x\\z=y+14\\x+y+z=180$

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

$x+y+z=180\\x+(y+z)=180\\x+(5x)=180$

Distribute the + sign

$x+5x=180$

Combine like terms;

$6x=180$

Divide by 6.

$x=\frac{180}{6}\\ x=30$

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example $z=y+14$

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

$x+y+z=180\\30+y+(y+14)=180$

Distribute the + sign and Combine like terms;

$30+y+y+14=180\\44+2y=180\\$

Subtract 44 to isolate 2y.

$2y=180-44\\2y=136$

Now divide by 2.

$y=\frac{136}{2}\\ y=68$

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

$x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82$

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3 years ago

What is t²=81. thanks!!

seraphim [82]

Answer:

t= 9, t= -9

Step-by-step explanation:

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3 years ago

For the following integral, give a power or simple exponential function that if integrated on a similar infinite domain will hav

zhannawk [14.2K]

Answer:

hello your question is incomplete attached below is the complete question

answer :

for I1 = $\frac{1}{x^2} + \frac{4}{x^3}$ The integral converges

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for I3 = $\frac{1}{x^2}$ The integral converges

for I4 = 1 The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for I1 = $\frac{1}{x^2} + \frac{4}{x^3}$ The integral converges

for I2 = $\frac{2x + 6}{2(x^2 + 6x + 4 )}$ The integral diverges

for I3 = $\frac{1}{x^2}$ The integral converges

for I4 = 1 The integral diverges

attached below is a detailed solution

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3 years ago