Answer:
Rewrite the function as an equation.
y
=
5
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
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The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
5
b
=
−
4
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
5
y-intercept:
−
4
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
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Choose
1
to substitute in for
x
to find the ordered pair.
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Replace the variable
x
with
1
in the expression.
f
(
1
)
=
5
(
1
)
−
4
Simplify the result.
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1
The
y
value at
x
=
1
is
1
.
y
=
1
Choose
0
to substitute in for
x
to find the ordered pair.
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Replace the variable
x
with
0
in the expression.
f
(
0
)
=
5
(
0
)
−
4
Simplify the result.
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−
4
The
y
value at
x
=
0
is
−
4
.
y
=
−
4
Create a table of the
x
and
y
values.
x
y
0
−
4
1
1
Graph the line using the slope and the y-intercept, or the points.
Slope:
5
y-intercept:
−
4
x
y
0
−
4
1
1
Step-by-step explanation:
Answer:
13.5 in, or 34.3 cm.
Step-by-step explanation:
First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.
Hopefully this helps- let me know if you have any questions!
The first answer to your question is 5 6/10 because you pronounce the decimal as six tenths. There is a simpler form of 5 6/10, it is 5 3/5. This is because you divide six by 2 and get 3 and divide 10 by two and get 5.
X - an amount
To increase an amount by 3% you can multiply the amount by 1.03.
Answer:
r≈12.89
Step-by-step explanation:
Using the formula
C=2πr
Solving for r
r=C
2π=81
2·π≈12.89155
