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lara [203]
3 years ago
8

Which statements describe one of the transformations performed on f(x)=x^2 to create g(x)=2(x+5)^2+5

Mathematics
1 answer:
adoni [48]3 years ago
5 0

Answer:

Translated to the left 5 units and up 5 units and compressed horizontally by 2 units.

Step-by-step explanation:

The  parent function given is f(x)=x^2

This function has its vertex at the origin.

If we move this function 5 units  to the left and 5 units up, then its vertex will now be at (-5,5).

If the parent function is then compressed horizontal by a factor of 2, then the transformed function will now have equation.

g(x)=2(x+5)^2+5

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Please help!!!
svetoff [14.1K]

Answer:

Step-by-step explanation:

<u>Compound Interest</u>

It's the type of financial calculations that includes the interest of previous periods into the new interests earned by some initial investment or principal P.

If we want to compute the final value FV of a series of n payments R at a fixed compound interest rate i, then

FV=F_m\cdot R

Where

\displaystyle F_m=\frac{(1+i)^n-1}{i}

The question provides us the following data

i=10% compounded twice a year

n=3 1/2 years

FV=15,000

We need to convert the number of periods and the interest rate to a semester base:

\displaystyle i=\frac{10}{100\cdot 2}=0.05

n=3.5\cdot 2= 7\  semesters

Let's calculate Fm

\displaystyle F_m=\frac{(1+0.05)^7-1}{0.05}=8.142

Knowing that

FV=F_m\cdot R

Solving for R

\displaystyle R=\frac{FV}{F_m}=\frac{15,000}{8.142}=1,842.30

Sara should deposit $1,842.30 twice a year to have the down payment for her own restaurant

3 0
3 years ago
5+|6-5x|=14 Absolute Value
Goryan [66]

Answer:

3/5

Step-by-step explanation:

5+6+5x=14

11+5x=14

5x=3

THEREFORE X=3/5

4 0
2 years ago
Read 2 more answers
Pls help me with this problom asap!!!!
Nataly [62]

Answer:

4 1/2. Root 18 simplifies to 4.242640687, which is less than 4.50

8 0
2 years ago
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Pls help with this one I will give brainliest thank you! Number 5
melamori03 [73]

Answer:

The volume of the fish tank is 48000 cubic centi meter.

Step-by-step explanation:

The volume of a Cuboid is l*b*h (length*breadth*height)

Here,

length(l) =60 cm

breadth(b)= 20 cm

height(h)=40 cm

Volume=l*b*h

Volume= 60cm*20cm*40cm

Volume= 48000 cubic centimeter

5 0
3 years ago
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If someone could please help me I’m confused thanks:)
Sedbober [7]
<h3>Answer:  x = 45</h3>

Work Shown:

x+x+90 = 180 .... all three angles of a triangle add to 180

2x+90 = 180

2x = 180-90

2x = 90

x = 90/2

x = 45

This is a 45-45-90 right triangle. We also consider it an isosceles right triangle because the base angles (45) are equal.

3 0
2 years ago
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