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Papessa [141]
3 years ago
8

If f(x) = x2 – 2x + 3, then find f(-3).

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

f(-3) = 18

Step-by-step explanation:

We need just substitute x with (-3) and calculate it.

f(-3) = (-3)² -2*(-3) + 3 = 9 + 6 +3 = 18

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The number of Internet users in Latin America grew from 25.8 million in 2009 to 70.6 million in 2016. Use the geometric mean to
ipn [44]

Answer:

the annual growth rate is 15.47 %

Step-by-step explanation:

Given the data in the question;

Internet users grew from 25.8 million to 70.6 million,

from the year 2009 to the year 2016.

Using geometric mean, Annual growth rate = ?

To determine the average growth rate of a time series using geometric mean, we use the following formula;

r_{geo = [ ( Xₙ / X₀ )^{\frac{1}{n} ] - 1

where Xₙ is the data value of the last year { 70.6 million }

X₀ is the data value for the first year { 25.8 million }

n is the sample size or the time difference, ( 2016 - 2009 = 7 )

so we substitute;

r_{geo =  [ ( 70.6 / 25.8  )^{\frac{1}{7} ] - 1

r_{geo = [ ( 2.736434  )^{\frac{1}{7} ] - 1

r_{geo = [ 1.15466 ] - 1

r_{geo = 0.15466

r_{geo = ( 0.15466 × 100 )%

r_{geo = 15.47 %

Therefore, the annual growth rate is 15.47 %

5 0
3 years ago
A can holds 2 liters of paint. How many cans can we fill with 11 liters of paint?
Zanzabum

Answer:

5.5

Step-by-step explanation:

Each can holds 2 liters of paint. There is 11 liters of paint. The question is asking you to figure out how many cans of paint you can fill with 11 liters of paint. We can divide 11 by 2 to get the answer. 11÷2=5.5. The reason this works is because we are dividing the total amount of paint by how much each can will hold. 5.5 can also be written as "five and a half". So, the 11 liters of paint will fill 5.5 cans. Hope this helps!

6 0
3 years ago
Read 2 more answers
What is the solution to the inequality 3a/2 < 24
rusak2 [61]

Answer:

a < 16

Step-by-step explanation:

We must get a alone to solve this. So first multiply by 2

3a/2 < 24

*2

3a < 48

Divide by 3

a < 16

8 0
2 years ago
A submarine was traveling along the surface of the ocean and decides to dive. If the dive angle is 28° with the horizontal surfa
Alex_Xolod [135]

Answer:

1.5 nautical miles

Step-by-step explanation:

See the attached diagram.

The submarine starts to dive at point A and diving along AB.

If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.

Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}

So, using trigonometry we can write  

\cos 28 = \frac{AC}{AB} = \frac{AC}{1.7}

⇒ AC = 1.7 \times \cos 28 = 1.5 nautical miles.

Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)

3 0
3 years ago
If:<br> AC = 53,<br> BC=2x + 5, and<br> AB = 4x+ 6,<br> Find BC.
labwork [276]

Answer:

19

Step-by-step explanation:

I took one for the team

6 0
4 years ago
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