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pantera1 [17]
3 years ago
11

What is the average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3]? Show all work.

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

7

Step-by-step explanation:

The average rate of change here, since this is not a line, is the slope of the secant line that is connecting those 2 points.  We can find that average rate of change by finding the y coordinates that go with each of those x coordinates and then applying the slope formula.  For g(0):

g(0)=3(2)^0-6

Anything raised to the power of 0 is 1, so we have then:

g(0) = 3(1) - 6 so

g(0) = -3 and the coordinate pair is (0, -3)

For g(3):

g(3)=3(2)^3-6 so

g(3) = 18 and the coordinate pair is (3, 18).

Now we plug those into the slope formula:

m=\frac{18-(-3)}{3-0}=7

So the averagee rate of change, which is also the slope, between those 2 points is 7

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A store manager ordered 28 crates of mangoes.There were 36 mangoes in each crate.WHEN the mangoes were delivered, he sold the ri
Kisachek [45]

Answer:

Number of ripe mangoes were sold as 132

Step-by-step explanation:

Let's assume number of rip mangoes were sold as 'x'

A store manager ordered 28 crates of mangoes

Number of crates =28

There were 36 mangoes in each crate

Number of mangoes in each crate=36

Total number of mangoes=( Number of crates)*(Number of mangoes in each crate)

Total number of mangoes is

=28\times 36

=1008

WHEN the mangoes were delivered

he sold the ripe mangoes and repacked the rest equally into 73 boxes

There were 12 mangoes in each box

Total number of mangoes is

=73\times 12+x

=876+x

now, we can set them equal

1008=876+x

x=132

5 0
3 years ago
I need help , what’s the answer <br><br> A. 25 feet<br> B. 13 feet <br> C. 17 feet<br> D. 12 feet
dimulka [17.4K]

Answer:

C. 17 feet

Step-by-step explanation:

I apologize if this is inaccurate, as I have not done this material in awhile. But, I hope it helps and is accurate! Have a great day! :D

8 0
2 years ago
there are 4 sections of seats I the playhouse theatre. each section has 7 groups of seats.each group has 25 seats. how many seat
Nady [450]
To find the number of seats, let's do it using multiplication!

First, to see how many seats are in one big section of the theatre, multiply 7 groups of seats by 25 seats:

7 x 25 = 175

Now, knowing this, multiply 175 by 4 to get the total number of seats in the theater!

175 x 4 = 700

Therefore, there are 700 seats in the theatre.

Hope this helps!
3 0
3 years ago
In triangle ACE, P is the centroid, PF = 6 , and AD = 15 15. Find the measures of PC and AP. Enter your answers as numbers.
xxTIMURxx [149]

Answer:

PC = 12 units

AP = 10 units

Step-by-step explanation:

  • The centroid of a triangle is the intersection of the three medians of the triangle
  • Each median connecting a vertex with the midpoint of the opposite side
  • The centroid divides each median into two parts, which are always in the ratio 2: 1 from the vertex

In ΔACE

∵ P is the centroid of it

∴ P divides CF the ratio 2: 1 from C

∴ PC = 2 PF

∵ PF = 6 units

∴ PC = 2(6)

∴ PC = 12 units

∵ P divides AD at the ratio 2: 1 from A

→ That means AD = 2 + 1 = 3 parts, and AP = \frac{2}{3} AD

∴ AP = \frac{2}{3} AD

∵ AD = 15 units

∴ AP = AP = \frac{2}{3} (15)

∴ AP = 10 units

5 0
2 years ago
286 children enter the brass band competition.There are 27 teachers who accompany them and 19 parents.How many people visit the
shutvik [7]

Answer:

332

Step-by-step explanation:

286+27+19

8 0
3 years ago
Read 2 more answers
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