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Eva8 [605]
4 years ago
12

If f(x) = 6x - 5 and (x) = -x + 1 , what is the value of f(g(-3)).

Mathematics
1 answer:
harkovskaia [24]4 years ago
3 0

Answer:

19

Step-by-step explanation:

f(x) = 6x - 5

g (x) = -x + 1

f(g(-3))

g(-3) = - (-3) +1 = 3+1 = 4

f(g(-3) = f(4))

f(4)= 6(4) -5 = 24-5 = 19

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Kathy and Brian drove a total of 750 miles in 12 hours. Kathy drove the first part of the trip at 65 mph and Brian drove the res
olga2289 [7]

Answer:

<u>Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.</u>

Step-by-step explanation:

Let's review the information given to us to answer the question correctly:

Total distance of the trip = 750 miles

Time of the trip = 12 hours

Speed of Kathy = 65 mph

Speed of Brian = 55 mph

2. For what length of the time did Kathy and Brian drive?

Let's solve the problem, this way:

x = Time in hours Kathy drove

12 - x = Time in hours Brian drove

Now, let's write our equation to solve for x:

65x + 55 (12 - x) = 750

65x + 660 - 55x = 750

10x = 750 - 660

10x = 90

x = 90/10

x = 9 ⇒ 12 - x = 3

<u>Kathy drove the first 9 hours of the trip and Brian drove the last 3 hours.</u>

5 0
3 years ago
Find the volume of the prism
Gnom [1K]

The volume of a prism is given by its base area multiplied by its height.

The bases are two right triangles. If we project everything on the xy plane, we can see that the vertices of the base triangle is

A = (0,0),\quad B = (3,0),\quad C = (0,4)

So, leg AB is 3 units long, and leg AC is 4 units long. This means that the area of the triangle is

A = \dfrac{\overline{AB}\times\overline{AC}}{2} = \dfrac{3\times 4}{2} = 6

The height of the prism connects, for example, points (0,0,0) and (0,0,5), so it's 5 units long. So, the volume of the prism is

V = A \times h = 6 \times 5 = 30

4 0
3 years ago
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Margarita [4]

Answer: 1,6,11,16,21,26

Step-by-step explanation:

The common difference is 5 (n+5)

7 0
3 years ago
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Vadim26 [7]

Answer:

1 minute
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4 0
3 years ago
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Help me please :3 :) :)
densk [106]

Answer:

6

Step-by-step explanation:

because if it needs 4 for 120 then u would divide that and get 30 then divide 180 by 30 and get 6.

8 0
3 years ago
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