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
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The megaliter is 10,000 times larger than a hectoliter
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
1 mega liter = 10⁶ Liter
1 hectoliter = 10² Liter.
Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter
Find out more on equation at: brainly.com/question/2972832
Step-by-step explanation:
If by that you mean
24x^3 and 14x^2 × y^2,
The Gcf between them is
2x^2
Proof: 24x^3/2x^2 = 12x
(14x^2 × y^2)/2x^2 = 7y^2
since there is no common factor between 12x and 7y^2, 2x^2 is the greates common factor
Answer:
Step-by-step explanation:
a) 2x = 10
Divide both side by 2
x = 10/2
x = 5
b) -3x = 21
Divide both sides by (-3)
x = 21/(-3)
x = -7
![c) \frac{1}{3}x = 6](https://tex.z-dn.net/?f=c%29%20%5Cfrac%7B1%7D%7B3%7Dx%20%3D%206)
Multiply both sides by 3
x = 6*3
x = 18
![d)\frac{-1}{2}x = -7](https://tex.z-dn.net/?f=d%29%5Cfrac%7B-1%7D%7B2%7Dx%20%3D%20-7)
Multiply both sides by (-2)
x = -7 * (-2)
x = 14
Answer:
(3)x+(3)
Step-by-step explanation:
- the slope is 3 because rise/run and rise is 3 and run is 1 from point (-2,0) and (0,3)
- the y intercept is 3
- plug it in the formula which is y=mx+b (m is slope and b is y intercept