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BabaBlast [244]
3 years ago
14

If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 8, find a function f such that f ∘ g = h. (Think about what operations you would have to

perform on the formula for g to end up with the formula for h.)
Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

Step-by-step explanation:

Hello,

(\forall x \in \mathbb{R}) (fog)(x)=f(g(x))=f(2x+2)=h(x)=4x^2+8x+8\\\\=(2x+2)^2-2^2+4(2x+2)\\\\=(2x+2)^2+4(2x+2)-4\\\\\text{So, we conclude by.}\\\\\large \boxed{\sf \bf f(x)=x^2+4x-4}

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A rectangular pool is 7 feet wide. It is 3 times as long as it is wide.
aliina [53]

Answer:

7x21

Step-by-step explanation:

First, we need to find the length of the pool. Since it is three times as long as it is wide, it is 21 feet long (7 x 3 = 21). That way we can tell that it is 7x21, with a perimeter of 56 feet, and an area of 147 feet squared.

4 0
3 years ago
PLEASE PLEASE HELP WILL MARK BRAINLIEST ✨
Hitman42 [59]

Answer:

The one at the bottom is "Neither"

The one that begins with (-4,14) is exponential.

The one that begins with (-3, 8)  is a linear

Step-by-step explanation:

5 0
3 years ago
Dan buys a car for £2200.
KatRina [158]

Answer:

The worth of the car after 6 years is £2,134.82

Step-by-step explanation:

The amount at which Dan buys the car, PV = £2200

The rate at which the car depreciates, r = -0.5%

The car's worth, 'FV', in 6 years is given as follows;

FV = PV \cdot \left ( 1 + \dfrac{r}{100} \right )^n

Where;

r = The depreciation rate (negative) = -0.5%

FV = The future value of the asset

PV = The present value pf the asset = £2200

n = The number of years (depreciating) = 6

By plugging in the values, we get;

FV = 2200 \times \left ( 1 + \dfrac{-0.5}{100} \right )^6 \approx 2,134.82

The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))

8 0
3 years ago
Which statement is true about the given information?
Lubov Fominskaja [6]

Answer

∴ The true statement is Answer:

The true statement is BD ≅ CE  ⇒ 3rd answer

Step-by-step explanation:

- There is a line contained points B , C , D , E

- All points are equal distance from each other

- That means the distance of BC equal the distance of CD and equal

 the distance of DE

∴ BC = CD = DE

- That means the line id divided into 3 equal parts, each part is one

  third the line

∴ BC = 1/3 BE

∴ CD = 1/3 BE

∴ DE = 1/3 BE

∵ BC = CD

∴ C is the mid-point of BD

∴ BC = 1/2 BD

∵ CD = DE

∴ D is the mid-point of DE

∴ CD = 1/2 CE

- Lets check the answers

* BD = one half BC is not true because BC = one half BD

* BC = one half BE is not true because BC = one third BE

* BD ≅ CE is true because

 BD = BC + CD

 CE = CD + DE

 BC ≅ DE and CD is common

 then BD ≅ CE

* BC ≅ BD is not true because BC is one half BD

∴ The true statement is BD ≅ CE

plz mark me brainliest

5 0
2 years ago
Suppose you have $50, how much change would you receive if you bought a DVD that cost $27.99?
____ [38]

Answer:

$33.01

Step-by-step explanation:

4 0
3 years ago
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