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Eddi Din [679]
3 years ago
7

Given the function f(x)= 2|x+6|-4, for what values of x is f(x)=6?

Mathematics
1 answer:
Paraphin [41]3 years ago
7 0

Answer:

x = -1 or x = -11

Step-by-step explanation:

f(x)= 2|x+6|-4

2|x+6|-4 = 6

2|x+6| = 6+4

2|x+6|=10

|x+6| = 10/2

|x+6| = 5

x+6 = ±5

x = ±5 - 6

x = -1 or x = -11

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When compared with the independent variable, how many of the graphs represent a linear relationship?
Arada [10]

Answer:

2

Step-by-step explanation:

The first graph does not represent the linear relationship, because the slope of the line connecting points (3,60) and (4,90) is

\dfrac{90-60}{4-3}=\dfrac{30}{1}=30

and the slope of the line connecting points (4,90) and (5,110) is

\dfrac{110-90}{5-4}=20

Since slopes differe, this is not linear relationship. Simply, if you connect all points on the graph, they will not lie on the same line.

Two next graphs represent the linear relationships, so they represent the llinear relationship.

7 0
3 years ago
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Mr. Singer's choir is going to New York City for a choir competition. He wants them to look their best, so he buys new music fol
Komok [63]

Answer: 183.77

Step-by-step explanation:

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8 0
3 years ago
The label on the car's antifreeze container claims to protect the car between −30°C and 130°C. To covert Celsius temperature to
jonny [76]

Answer:

-22°F < x < 266°F.

Step-by-step explanation:

The question states the incorrect formula to convert the Celsius temperature (C) into the Fahrenheit temperature (F). The correct one is given by:

F = 9C/5 + 32.

The given temperature inequality in Celsius is:

-30°C < x < 130°C; where x is any number that satisfies the inequality.

To convert it into Fahrenheit, simply plug in the values in the above formula.

Lower Limit:

F = 9(-30)/5 + 32.

F = -54 + 32.

F = -22°F.

Upper Limit:

F = 9(130)/5 + 32.

F = 234 + 32.

F = 266°F.

Therefore, the inequality will be -22°F < x < 266°F!!!

5 0
3 years ago
In ΔPQR, m∠P = (3x+16) ,m∠Q=(4x-15),m∠R(2x+8) What is the value of x?
noname [10]

Answer:

  x = 19

Step-by-step explanation:

Assuming all angle measures are in degrees, the sum of them is 180:

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The value of x is 19.

3 0
4 years ago
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Alex_Xolod [135]

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3 0
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