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3 years ago

5

Why the x-coordinate of the point of intersection is a solution to the equation f(x) = g(x)?

1 answer:

viva [34]3 years ago

8 0

If 2 graphs meet at the same point means that for the same x both function give the same outcome/value y. That's why they are equal. Suppose f(x) = x^2 -1 and g(x) = 2x-1. This function meet at the point x=2(the point of intersection). Let's put the value of intersection in the functions. f=2^2-1=3, g= 2*2-1=3, we proved in another way why that's the point where 2 graphs are equal each other.

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A cone has a radius of 4 units and a height of 6 units.

zubka84 [21]

Answer:

Volume of the cone: 32π cubed unit

Step-by-step explanation:

Volume of cone: V=1/3hπr²

1/3 x 6 x π x 4^2 = 32π

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3 years ago

Read 2 more answers

Simplify 5x(3x^2+2x-3)

Tcecarenko [31]

Answer:

$15x^3 +10x^2 - 15x$

Step-by-step explanation:

Hello!

Use the distributive property and multiply like terms.

<h3>Simplify</h3>

$5x(3x^2 + 3x - 3)$
$5x(3x^2) + 5x(2x) + 5x(-3)$
$15x^3 +10x^2 - 15x$

The simplified form is $15x^3 +10x^2 - 15x$ .

4 0

2 years ago

Read 2 more answers

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure

soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

$x+(2x+12)+90=180$

$3x+102=180$

$3x=180-102$

$3x=78$

Divide both sides by 3.

$x=\dfrac{78}{3}$

$x=26$

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

$2x+12=2(26)+12$

$2x+12=52+12$

$2x+12=64$

Therefore, the measures of two acute angles are 26° and 64° respectively.

8 0

3 years ago

Which graph represents a function?

salantis [7]

Answer:

It is the answer closest to the right. The one with a straight line.

Step-by-step explanation:

Because it is a function if there is only one dot per line vertically. The others have either 2 or more dots per line vertically.

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3 years ago

Enter the answer to the nearest tenth. Another home business has an average income of $1.200.00 per month with a standard deviat

Nonamiya [84]

Answer: -1.7

Step-by-step explanation:

Given : Another home business has an average income of $1.200.00 per month with a standard deviation of $100.00.

i.e. $\mu=\$1200.0$

$\sigma=\$100.00$

Let x represents the monthly income.

Since . $z=\dfrac{x-\mu}{\sigma}$

For x= 1030 , we have

$z=\dfrac{1030-1200}{100}=-1.7$

Hence, the required z-score = -1.7

5 0

3 years ago