When graphing a system of equations with infinitely many solutions, the slopes of the two lines will be ________.
1 answer:
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The equation which represents exponential decay is y=
Given four equations : 1)y=, 2) y=
, 3) y=
, 4) y=
.
Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like .
Decay means when x value increases ,the y value decreases.
We haveto put 3 values for x in the equations to check.
1)y=
put x=0,y=-3
put x=1, y=-1
put x=2, y=5
No,itdoes not represents exponential decay.
2) y=2
put x=0,y=2
put x=1, y=8
put x=2, y=32
No,it does not represents exponential decay.
3) y=
put x=0,y=0.5
put x=1, y=1.5
put x=2, y=4.5
No,it does not represents exponential decay.
4)y=6
put x=0,y=6
put x=1, y=2
put x=2, y=0.67
Yes ,it represents exponential decay.
Hence the equation which represents exponential decay is y=6.
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The amount of blue paint in each container is .
Further explanation:
The mixture mixed by Mrs. Cleaver contains 1.24 litres of red paint with 3 times blue paint to obtain purple paint.
So, the amount of blue paint is calculated as,
Therefore, the total amount of paint mixture is the sum of blue paint and red paint.
Now, as Mrs. Cleaver divides the paint mixture equally in 5 containers so the amount of paint in one container is calculated as,
Since amount of blue paint mixed is three times the red paint so the fraction of blue paint to the total paint is .
Now, as it is known that the fraction of blue paint to the total paint is and the amount of paint in a container is
then the blue paint in one container is calculated as,
Thus, the amount of blue paint in each of the five containers is .
Learn more:
1. To solve one variable linear equation brainly.com/question/1682776
2. Linear equation application brainly.com/question/2479097
3. Composite functions brainly.com/question/2142762
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Mixtures and ratios
Keywords: mixture, paint, red paint, blue paint, Mrs. Cleaver, purple paint, fraction, each container, five containers, divides, times, equally divide, mixes, liters.