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:
First set both equations equal to y
y = -1/2x + 3
y = 3x - 4
Then set these two equal because they both equal y
-1/2x + 3 = 3x + 4
Combine like terms and solve
7 = 3.5x
x = 2
y also = 2 when you plug it back in
Therefore, (2,2)
Answer:
H=Hyperbola
L=line
C=circle
P=Parabola
First letter is top one:
HL=0, 1, 2
LP=0, 1, 2
LC=0, 1, 2
LH=0, 1, 2
PP=0, 1, 2, INFINTELY MANY
PC=0, 1, 2,
PH=0, 1, 2, 3
CP=0, 1, 2
CC= 0, 1, 2, INFINITELY MANY
CH=0, 1, 2, 3, 4
HP=0, 1, 2, 3
HC=0, 1, 2, 3, 4
HH=0, 1, 2, 3, 4, infinitely many
Answer:
the total number of blocks is 69
Step-by-step explanation:
the way you can find this is by counting all the outside blocks on the closest side (23) and multiplying it by the the width of the blocks on the right side (3)
We have been given that Micah is buying items for a birthday party. He wants to use the same amount of each item. We are asked to find the least number of packages of cups he needs to buy (6 cups in each bag and 8 plates in each bag).
To find the least number of packages of cups, we need to find least common multiple of 6 and 8.
Multiples of 6: 6, 12, 18, 24, 30,....
Multiples of 8: 8, 16, 24, 32, 40, 48,.....
We can see that least common multiple of 6 and 8 is 24.
Now we will divide 24 by 6 to find number of packages of cups that Micah needs to purchase.
Therefore, Micah needs to buy 4 packages of cups at least.