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MakcuM [25]
3 years ago
8

Assuming there are no reflections or dilations,

Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0

Answer:

Step-by-step explanation:

We can see that this graph looks something like the graph of:

f(x) = 1/x^2

But the asymptotes of 1/x^2 are at  x = 0, and in this case we can see that the asymptotes are near  x = -3.

This may mean that the graph has been horizontally shifted 3 units to the left.

A general way to write an horizontal shift of N units is:

g(x) = f(x + N)

if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.

In this case, we will have;

g(x) = f(x + 3)

And f(x) = 1/x^2

then:

g(x) = 1/(x + 3)^2

Graphing that, we get the graph shown below, that is almost the same as the graph in the image.

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In the diagram, what is the measure of angle 1?
grin007 [14]
3X+9X=180
12X=180
X=15°
Angle 1=3X
Angle 1 =45°
That's your answer.
5 0
3 years ago
Read 2 more answers
Jolene wants to invest $2000 into a money market account. Interest is to be 6.5% compounded annually, and she wants to take the
timama [110]

Answer:

Interest = 650$

Step-by-step explanation:

Given:

Invest  Inv = 2000$, interest rate r = 6.5% compounded annually

and time n = 5 years

Formula for calculation is:

Int = (Inv · r · n) / 100

Int = (2000 · 6.5 · 5) / 100 = 650$

Int = 650$

God with you!!!

3 0
3 years ago
The temperature started at −20 ∘F then rose by 12 ∘F. Write and then evaluate an expression for the current temperature.
Mashcka [7]

Answer:

-32°F

Step-by-step explanation:

current temperature = -20°F-12°F

= - 32°F

I am not sure if its correct

3 0
2 years ago
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Angelina deposits $3000 in a savings account on 1 January 2019, earning compound interest of 1.5% per year.
jekas [21]

The interest earned would be $481.62.

The total amount of money in her account would be $16,377.12.

<h3>Determining interest after 10 years </h3>

Interest = future value - amount deposited

$3000 (1.015)^10 = $3,481.62

Interest =  $3,481.62 - $3000 = $481.62

<h3>Determining the future value of the account.</h3>

 Future value of the lump sum = $3000 x (1.015)^11 = $3,533.85

Future value of the annuity = amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r = [(1.015)^10 - 1] / 0.015 = 10.702722

Future value =  10.702722 x $1,200 = $12,843.27

Total future value =  $12,843.27 + $3,533.85 = $16,377.12

To learn more about future value, please check: brainly.com/question/18760477

4 0
2 years ago
The data is shown below:
Marina CMI [18]

Answer:  72

Step-by-step explanation: Its in the middle

4 0
2 years ago
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