The function that models the graph is given as:
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The equation shown in the graph represents a piecewise function. Hence:
From the line through the point (-8, 4) and (-2, 2), the equation is f(x) = -(1/3)x + 4/3
From the curve through the point (-2, 2) and (0, 6), the equation is f(x) = -x² + 6
From the line through the point (0, 6) and (4, 6), the equation is f(x) = -6
From the line through the point (4, 6) and (7, 9), the equation is f(x) = x + 2
The function that models the graph is given as:
Find out more on equation at: brainly.com/question/2972832
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Answer:
You can find and write the equations in Slope-Intercept form due to the slope and y-intercept.
Step-by-step explanation:
The Slope-Intercept Form Formula: y=mx+b
The m represents the slope while the b represents the y-intercept
You can also use y2 - y1 / x2 - x1 to find the slope which is the m in your formula.
Lastly, to find a y-intercept, you can plug in your coordinate for the x and y to do two-step linear equations.
X = number of singles matches
y = number of doubles mnathes
so we have the equation x + y = 13.......(1)
also
2x + 4y = 38 ...........(2)
(1) and (2) are the required equations
b) Find how many maches are in progress by solivng the above equations:-
x + y = 13 multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38 Adding to removes the terms in x:-
2y = 12
y = 6
so x = 13-6 = 7
So the answer is 6 double matches and 7 singles are in progress.
The approximate width of Alice's backyard is 22.36 in.
Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = <span>22.360679775 in or 22.36 in</span>
