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Arada [10]
3 years ago
5

Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:f(x) = 2x − 20g(x) = x − 1a

. -5b. 5c. 1/6d. 30
Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

(f/g)(-5) = 5

Step-by-step explanation:

You mean, "determine the value of (f/g)(x) at x = -5."

That would be:

f(x)        2x - 20

------- = ------------   and we now substitute -5 for x:

g(x)         x - 1

                  2(-5) - 20      -30

 (f/g)(-5) = --------------- = -------- = 5

                     -5 -1              -6

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Find the missing angles.
Feliz [49]

Answer:

a=30  b=30 c= 75

Step-by-step explanation:

By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.

Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.

So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180

Subtract 30 from both sides and you are left with:

2c = 150

Divide by 2 on each side:

c= 75

7 0
3 years ago
Susan and her family took a trip during their vacation. They travelled a total of 3982 miles. They averaged 24 miles per gallon
ExtremeBDS [4]

Answer:

The gasoline cost $411.47.

Step-by-step explanation:

This problem can be solved using rules of three.

The first step is finding how many gallons were used.

They travelled a total of 3982 miles. They averaged 24 miles per gallon of gasoline.

So

1 gallon = 24 miles

x gallons - 3982 miles

24x = 3982

x = \frac{3982}{24}

x = 195.9

195.9 gallons were used.

How much did the gasoline cost is the price per gallon was $2.48?

Each gallon costs $2.48. 195.9 gallons were used. So

$2.48*195.9 = $411.47

The gasoline cost $411.47.

7 0
3 years ago
3.20 × 105 gallons of tar (SG = 1.20) is stored in a 20.0-ft tall storage tank. What is the total mass of the liquid in the tank
lilavasa [31]

Answer:

Mass of the liquid in the tank will be 1.45\times 10^8kg

Step-by-step explanation:

We have given volume of tar V=3.20\times 10^5gallon

1 gallon = 3.785 liter

So 3.20\times 10^5gallon=3.20\times 10^{5}\times 3.785=12.112\times 10^5liter

Specific gravity = 1.2

Density of water =1000kg/m^3

We know that specific gravity =\frac{density\ of\ liquid}{density\ of\ water}

1.2=\frac{density\ of\ liquid}{density\ of\ water}

Density of liquid =1200kg/m^3

So mass of liquid = volume × density

= 12.112\times 10^5\times 1200=1.45\times 10^8kg

So mass of the liquid in the tank will be 1.45\times 10^8kg

6 0
3 years ago
Simplify: 5a + 1r + 2a + 4r
Marina CMI [18]

Answer:

7a+5r

Step-by-step explanation:

5a + 1r + 2a + 4r

add like terms

7a+5r

hope that helps

4 0
3 years ago
What is the LCM and GCF of<br> 37 and 12
RSB [31]
I hope this helps you

7 0
3 years ago
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