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Zepler [3.9K]
3 years ago
7

If f(x)= 4^-8 and g(x)= 5x+6, find (f-g)(x)

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0

f(x)=4^x-8,\ g(x)=5x+6\\\\(f-g)(x)=f(x)-g(x)=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14

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If the cube above has a surface area of 54cm^3, what is the volume of the cube?
Colt1911 [192]

9514 1404 393

Answer:

  27 cm³

Step-by-step explanation:

The surface area of a cube is ...

  SA = 6s²

Then the edge length is ...

  54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area

  9 cm² = s² . . . . . .divide by 6

  3 cm = s . . . . . . . take the square root

The volume of a cube is ...

  V = s³

  V = (3 cm)³ = 27 cm³

The volume of the cube is 27 cm³.

3 0
3 years ago
Solve Expression <br><br> 12(3+5x)+1/4(16x-8)
Lynna [10]

Answer:

56x + 34

Step-by-step explanation:

12(3 + 5x) + 1/4(16x - 8)

First, use the distributive property. You will get:

(12)(3) + (12)(5x) + (1/4)(16x) - (1/4)(8)

Next, multiply the numbers. You will then have:

36 + 60x + 4x - 2

Now, rearrange the numbers. The variables go in the front. This is what it should look like:

60x + 4x + 36 - 2

Add 60x and 4x, then subtract 36 and 2. This is your answer:

56x + 34

4 0
3 years ago
Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t
jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18  (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

7 0
3 years ago
Solve for x:<br> 4x/5=20
alexdok [17]
The correct response is X=25
3 0
3 years ago
Please help. is it a,b,c,or d
IrinaK [193]

Answer:

there are 12 picks

There is 2 2's

There is one 4 and two 8's

2/12 x 3/12 = 6/144 = 1/24

2 chances of getting wanted number/ 12 amount of outcomes

1/24 is correct

Step-by-step explanation:

6 0
3 years ago
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