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3 years ago

describe what you can do when solving an inequality to assure that the coefficient of the variable term will be positive

1 answer:

5 0

If the coefficient is positive, then just multiply or divide by the same coefficient.
2X less than or equal to 8
divide by 2 throughout to get X is less than or equal to 4

If the coefficient is negative, then multiply or divide by the negative sign and the same number throughout
-2X is less than or equal to 8
divide by -2 throughout to get
X is GREATER THAN OR EQUAL to 8.
Remember the sign changes when you divide or multiply by negative.

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Evaluate the function. f(x) = -3x2 – 20 Find f(-9)

Sauron [17]

Answer:

-3(-9)-20=7

Step-by-step explanation:

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4 years ago

Company A charges a $80 annual fee plus a $10/hr car share fee. Company B

icang [17]

Answer:

The number of hours must be greater than 9 to make a Company B a better deal

Step-by-step explanation:

Let

x ----> the number of hours

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

Company A

The slope is equal to $m=\$10\ per\ hour$

The y-intercept is equal to $b=\$80$

The linear equation is equal to

$y=10x+80$ -----> equation A

Company B

The slope is equal to $m=\$5\ per\ hour$

The y-intercept is equal to $b=\$125$

The linear equation is equal to

$y=5x+125$ -----> equation B

If a Company B is a better deal

then

$5x+125 < 10x+80$

solve for x

$125-80 < 10x-5x$

$45 < 5x$

$9 < x$

Rewrite

$x> 9\ hours$

therefore

The number of hours must be greater than 9 to make a Company B a better deal

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stiv31 [10]

Answer:

The right answer would be C!

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3 years ago

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zhuklara [117]

Ths number that goes beneath the radical symbol is 29.

Explanation:

If we form a triangle using the given points, we drop a vertical line from (1, 1) and a horizontal line to the left of (3, -4). The point where both the lines intersect is the third point. The other point is (1, -4).

The vertical distance from (1, 1) and (1, -4) is 1 - (-4) = 1 + 4 = 5 units, the horizontal distance from (1, -4) and (3, -4) is 3 -1 = 2 units.

The opposite side of the triangle measures 5 units while the adjacent side measures 3 units. The line joining (1, 1) and (3, -4) is the hypotenuse. Assume the hypotenuse measures x units.

According to Pythagoras theorem, x = √(5² + 2²), x = √25 + 4 = √29. So the number under the radical symbol is 29.

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Answer:

Step-by-step explanation:

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