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Anastasy [175]
2 years ago
6

Find a linear and an exponential equation that matches f(2)=12 and f(4)=48

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
8 0

The exponential  equation that matches the coordinate is 3(2)^x while the linear equation is y = 6x

<h3>Exponential equation</h3>

The standard exponential equation is expressed as y= ab^x

where

a is the base

x is the exponent

Given the coordinates (2, 12) and (4, 48)

12 = ab^2

48 = ab^4

Find the ratio

4 = b^2

b = 2

Sice ab^2 = 12

4a = 12

a = 3

The exponential  equation that matches the coordinate is 3(2)^x

<u>For the linear equation</u>

The standard form is y = mx + b

m is the slope = 48-12/4-2
Slope = 12/2

Slope = 6

For the y-intercept

12 = 6(2) + b

b = 0

Hence the required linear equation is. y = 6x

Learn more on exponential and linear equation here: brainly.com/question/2456547

#SPJ1

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Im thinking it's false. 18 isn't even between 4 and 9.
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3 years ago
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Solve your equations below and right the algebraic steps, n/12 = 10
sdas [7]
\frac{n}{12}=10

Multiply both sides of the equation by 12

\frac{n}{12}\times12=10\times12n=\text{ 120}

7 0
1 year ago
PLEASE HELP BRAINLIES+20 POINTS ASAP!!!!!!!!!!
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Length = L.

Width = 2L-3.

A = L * W = 170.

L * (2L-3) = 170.

2L^2 - 3L - 170 = 0,

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3 0
3 years ago
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Find the prime factorization for the number m (if possible) that makes each of the following true. If no number is possible, exp
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Answer:

Is not possible to find a prime factorization for m.

Step-by-step explanation:

if

2^3 . 19^5 . 23^4 = 2^3 . 19^5 . 46 . m

then

m=\frac{2^3. 19^5 . 23^4}{2^3 . 19^5 . 46 }=\frac{2^3. 19^5 . 23^4}{2^3 . 19^5 . 2.23 }=\frac{23^3}{2}

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3 0
3 years ago
A fruit company delivers its fruit in two types of boxes: large and small. a delivery of 6 large boxes and 5 small boxes has a t
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6 large + 5 small = 127 kg ------------ (1)
2 large + 3 small = 51kg    ------------ (2)

<u>(2) x 3 :</u>
6 large + 9 small = 153 ---------------- (2a)

<u>(2a) - (1) :</u>
4 small = 26
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Answer: The small box weighs 6.5kg and the big box weighs 15.75 kg


5 0
3 years ago
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