Expand the expression 2(30x-24)

Find the zeros of the function f(x) = (x + 2)(x - 3)(x + 12)

ser-zykov [4K]

Step-by-step explanation:

f(x) = (x + 2)(x - 3)(x + 12) = 0

(x + 2)(x - 3)(x + 12) = 0

so, the zeros of the function :

=> x1 = -2

=> x2= 3

=> x3 = -12

4 0

3 years ago

Solve for x and y Both questions please ❤️

zimovet [89]

Answer:

1. $x=18, y=6\sqrt{10}$

2. x=108, y=180

Step-by-step explanation:

The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)

1. Use this property, so

$CD^2=AD\cdot BD\\ \\6^2=2\cdot x\\ \\36=2x\\ \\x=18$

Consider right triangle BCD. By the Pythagorean theorem,

$BC^2=BD^2+CD^2\\ \\y^2=18^2+6^2\\ \\y^2=324+36\\ \\y^2=360\\ \\y=\sqrt{360}=6\sqrt{10}$

2. Consider right triangleGM*. By the Pythagorean theorem,

$G*^2=GM^2+M*^2\\ \\240^2=GM^2+192^2\\ \\GM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\\ \\GM=144$

Use this property to find x:

$GM^2=192\cdot x\\ \\144^2=192\cdot x\\ \\x=\dfrac{144^2}{192}=108$

Consider right triangle GMCup. By the Pythagorean theorem,

$y^2=x^2+GM^2\\ \\y^2=108^2+144^2\\ \\y^2=32,400\\ \\y=180$

3 0

4 years ago

Find the measure of A. A. 50 B. 70 C. 100 D. 90

dlinn [17]

Answer:

D

Step-by-step explanation:

I don't know how to eliminate the wrong answers.

Two line segments which have one end at a diameter and the other end meeting at a common point, make a 90 degree angle.

A is made that way, so A is 90 degrees.

8 0

3 years ago

Profit is always calculated as revenue minus expenses. If a company’s expenses were $10 million, write an equation that expresse

ivann1987 [24]

The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

The profit is $15 million when revenue is $25 million

Step-by-step explanation:

The formula of the profit is P = R - E, where

R is the revenue
E is the expenses

If a company’s expenses were $10 million, wee need to write an equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) and then find the profit when revenue is $25 million

∵ P is the profit in millions of dollars

∵ R is the revenue in millions of dollars

∵ The expenses E were $10 million

∵ Profit = Revenue - Expenses

∴ P = R - 10

The equation that expresses profit, P, (in millions of dollars) in terms of revenue, R, (in millions of dollars) is P = R - 10

∵ The revenue R = $25 million

∵ P = R - 10

- Substitute the value of R in the equation

∴ P = 25 - 10

∴ P = 15

∴ The profit is $15 million

The profit is $15 million when revenue is $25 million

Learn more:

You can earn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

8 0

3 years ago

Members of a basketball team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it

Nadusha1986 [10]

Answer:

The trial provides enough evidence that the probability of obtaining heads is less than 0.50 and that the coin is unfair.

Step-by-step explanation:

The explanation is in the picture

5 0

3 years ago