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pantera1 [17]
2 years ago
15

The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph? ​

Mathematics
1 answer:
Zigmanuir [339]2 years ago
5 0

Answer:

y = -f(x - 5)

Step-by-step explanation:

the function of the dotted graph is f(x) shifted (or translated) 5 units to the right and then reflected across the x-axis.

shifting it to the right is happening by reducing every x value by 5 (so that we get for x the functional value of x-5).

and reflecting it across the x-axis simply means to flip the sign. everything that was originally above the x-axis is now with the same distance below the x-axis (and vice versa).

therefore, the new

y = -f(x - 5)

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E) Natasha's parents want to support Natasha by saving $5000 for her college. They searched up for some investment options and c
Bas_tet [7]

Answer:

Amount she would have in 2 years at a simple interest of is

$5000 + ($5000 x 0.048 x 2) = $5480

Amount she would have in 2 years at a 4.1 % / year compounded semi- annually is :

$5000 x ( 1 +0.041/2)^4 = $5422.78

the first option yields a higher value in two years when compared with the second option. Thus, the first option is the best one to choose

Step-by-step explanation:

Future value with simple interest = principal + interest

Interest = principal x interest rate x time

0.048 x 5000 x 2 = 480

future value = $480 + 5000 = $5480

The formula for calculating future value with compounding:

FV = P (1 + r)^nm

FV = Future value  

P = Present value  

R = interest rate  

m = number of compounding

N = number of years

5000 x ( 1 + 0.041 / 2)^(2 x 2) = $5422.78

8 0
2 years ago
Add or subtract the polynomials<br> (8x3+3x-2)+(9x2-7+3x-2x3)
crimeas [40]

Answer:

10x^3+9x^2-9

Step-by-step explanation:

8x^3+2x-2+9x^2-7+2x-2x^3 - Combine like terms

10x^3+9x^2-9

4 0
2 years ago
Read 2 more answers
I need help please?!!!
yanalaym [24]
Answer is: C


√11 ≈ 3.3661
Which the closest to your answers is 3.3
5 0
3 years ago
What fraction is equivalent to 20 in simplest fraction form
SIZIF [17.4K]

Answer:

I believe its 20% or 20/100 or 1/5

Step-by-step explanation:

i mean, 20% is 20/100 or 1/5. the number already a fraction. the denominator is out of 100.

20% = 20/100

then you change it to simpliest form.

20 / 20 = 1

100 / 20 = 5 = 1/5

8 0
3 years ago
8v-3v-3+7v simplified
Licemer1 [7]

Your answer is <u>12v-3.</u>

-

Steps:

1. Group Like Terms. (8v-3v+7v-3)

2. Add Similar Elements. (8v-3v+7v=12v)

3. Finished. (=12v-3)

-

Hope this helped :)

3 0
3 years ago
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