<h3>The solution as an ordered pair is (x,y) = (2,2)</h3><h3>x = 2 and y = 2 pair up together.</h3>
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Work Shown:
4x+2y = 12
4x+2( y ) = 12
4x+2( 2x-2 ) = 12 ... replace y with 2x-2
4x+2( 2x ) + 2( -2 ) = 12 ... distribution rule
4x+4x-4 = 12
8x-4 = 12
8x-4+4 = 12+4 ... add 4 to both sides
8x = 16
8x/8 = 16/8 ... divide both sides by 8
x = 2 is the first part of the answer
Use x = 2 to find y
y = 2x-2
y = 2(2)-2 ... replace x with 2
y = 4-2
y = 2 is the second part of the answer
Answer:
Jackson ran 5/24 miles further than him
Step-by-step explanation:
7/8-2/3 = 21/24 - 16/24 = 5/24 miles or approx. 0.208 miles further than him
Answer: 0.27648
Step-by-step explanation:
Given : The proportion of all individuals have group A blood : p=0.040
Total individuals give blood : n= 6
Let X be the number of individuals have group A blood.
Since all individual are independent of each other.
Formula : 
, where n= sample size , p = probability of getting success in each trial.
The probability that exactly three of the individuals have group A blood. :
The probability that exactly three of the individuals have group A blood. is 0.27648
Answer:
1032 miles
Step-by-step explanation:
We have : 5103 - 4071 = 1032(miles)
So he drove more 1032 miles this year than last year
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:
