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2 years ago

PLEASE HELP I WILL GIVE BRAINLIEST PLEASE 20 POINTS

Mathematics

1 answer:

Agata [3.3K]2 years ago

7 0

9514 1404 393

Answer:

$\begin{cases}3x+12&\text{if }x>-4\\0&\text{if }x=-4\\-3x-12&\text{if }x$

Step-by-step explanation:

The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...

3x +12 < 0

x +4 < 0

x < -4 . . . . . makes the absolute value function change its argument's sign

Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.

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Let n = the number. A number exceeds 45 inequality

blondinia [14]

This translates to "a number" is greater than 45. All you have to do now is translate these words into an algebraic statement. Basically, you replace "a number" with the variable which it is defined for, and you use the "greater than" symbol to show that the variable is greater than the value of 45.

3 0

3 years ago

A phone company charges $0.50 per minute and a connection fee of $1. If you were to represent the total cost y of an x minute ca

klasskru [66]

Answer:

Per minute value fee would be the slope of the line.

Step-by-step explanation:

Given:

Per minute charges by the phone company = $ 0.50

Connection fee (fixed) charged by company = $ 1.0

We have to represent the total cost in terms of y and also explain the slope of the line.

According to the question:

Let the number of minutes be "x" .

And the total cost charged be "y" .

So,

The total cost = (No. of minutes)(Per minute charge) + Connection fee

Re-arranging in term of x and y.

⇒ $total\ cost = (no.\ of\ minutes)(per\ minute\ charge) + connection\ fee$

⇒ $y=0.50(x)+1$ ...equation (i)

Slope- intercept form: $y=m(x) +b$ m is the slope and b is the y-is intercept.

⇒ Comparing equation (i) with the slope- intercept form.

⇒ $m=0.50$ and $b=1$

So,

The slope of the line is 0.50 which is also represented by the per minute value of the call.

Per minute value fee would be the slope of the line.

4 0

3 years ago

Help me please!! The next model of a sports car will cost 12.2% less than the current model. The current model costs $34,000. Ho

andrey2020 [161]

Answer:

the price will decrease by 4148

the price of the next model will be 29852

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2 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.

konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

$BC^2=BD\cdot AB.$