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jarptica [38.1K]
3 years ago
9

Given an absolute value function f(x)=|x|, what is the effect of adding a constant k to the function?

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer: the graph of the resulting function, |x| + k, is the graph of f (x) shifted k units up

Step-by-step explanation:

just took the test

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Simplify completely 12x+36/x^2-4x-21 and find the restrictions on the variable
Ahat [919]

Answer:

\dfrac{12}{x-7},

x\neq 7,\ x\neq -3.

Step-by-step explanation:

Consider the expression

\dfrac{12x+36}{x^2-4x-21}.

1. The numerator can be factored as

12x+36=12(x+3).

2. The denominator x^2-4x-21 has the discriminant

D=(-4)^2-4\cdot (-21)\cdot 1=16+84=100.

Then

x_{1,2}=\dfrac{-(-4)\pm \sqrt{100}}{2\cdot 1}=\dfrac{4\pm 10}{2}=7,\ -3.

Then

x^2-4x-21=(x-7)(x+3).

Note that restrictions on the variable x are x\neq 7,\ x\neq -3.

3. Simplify the fraction:

\dfrac{12x+36}{x^2-4x-21}=\dfrac{12(x+3)}{(x-7)(x+3)}=\dfrac{12}{x-7}.


3 0
3 years ago
The average weight of 5 linemen is 215 pounds. The average weight of the 6 skill players is 187 pounds. What is the average weig
Sever21 [200]

Answer:

199.73

Step-by-step explanation:

7 0
3 years ago
It costs $20 a month to buy a cell phone plan. In addition, you will have to pay $0.10 for every call. How many calls can you ma
Dominik [7]

Answer:

50 calls

Step-by-step explanation:

this is because you have to pay 20 dollars a month so you do 25 - 20 = 5 and then divide 5 by 0.10 and get 50.

6 0
4 years ago
Help I Don’t. Get This one
DochEvi [55]

Answer: x = 8

Each angle is 120 degrees

===============================================================

Explanation:

The top and bottom angles are vertical angles, so they are congruent to each other. This means they are the same measure.

14x+8 = 4x+88

14x+8-8 = 4x+88-8 ... subtract 8 from both sides

14x = 4x+80

14x-4x = 4x+80-4x ... subtract 4x from both sides

10x = 80

10x/10 = 80/10 ... divide both sides by 10

x = 8

Once you know x, you can figure out each angle

top angle = 4x+88 = 4*8+88 = 120 degrees

botom angle = 14x+8 = 14*8+8 = 120 degrees

Both angles are 120 degrees so this helps confirm we have the proper x value


7 0
4 years ago
Sara ran 2.28 kilometers on Monday. How many meters did she run?
DENIUS [597]

Answer:

2280 meters

Step-by-step explanation:

if i'm right plz mark me brainlest

8 0
3 years ago
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