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podryga [215]
2 years ago
12

Find the average rate of change for the given function from x = −2 to x = 1. Graph of f of x equals x minus 5

Mathematics
2 answers:
timurjin [86]2 years ago
5 0
Y = x - 5

The rate of change is synonymous with the slope.

The slope is 1.

The average rate of change over any interval is 1.
Nataliya [291]2 years ago
3 0
Average rate of change=slope

f(x)=x-5
f(x) could be subsitututed  with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7

if x=1 then
y=1-5
y=-4


the graph of y=x-5 is included in the attachment

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What is the equation graph below?
GaryK [48]

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Step-by-step explanation:

The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4

6 0
2 years ago
A cabinet door has a perimeter of 62 inches its area is 228 in.² what are the dimensions of the door
Vlad1618 [11]
P=2(L+W)
A=LW


given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W

sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero

W-19=0
W=19

W-12=0
W=12

sub back

L=31-W
L=31-12
L=19
or
L=31-19
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the doorway is 12in by 19in

4 0
3 years ago
write the eqaution in slope intercept form of the line that has a slope of 2 and contains the point (4,2)
GalinKa [24]
Slope intercept form:
y=mx+b
m=slope
b=y-intercept:

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x₀=4
y₀=2
we have to find "b"
y=mx+b
2=2(4)+b
8+b=2
b=2-8
b=-6

Therefore:
if b=-6 and m=2; the equation in slope intercept form would be:
y=2x-6

<span>Answer: y=2x-6</span>
3 0
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xenn [34]

Answer:

f(x) = |x|, f(x) = [x] + 6

Step-by-step explanation:

Almost all of these are absolute values equations, which means the y doesn't change if x is positive or negative. The first one is the parent form, which is the simplest equation of the absolute equation, so it's symmetric with respect to the y-axis. The second equation is translated 3 units to the left, and the third is translated 31 to the left. The forth is translated 6 up, so it's still symmetric with respect to the y-axis. The fifth is translated 61 units left, and the last one is simply a line, which isn't symmetric.

4 0
3 years ago
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