Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
0
, 1
)
Equation Form:
x
=
0
, y
=
1
Step-by-step explanation:
Graph.
y
=
−
5/
2
x
−
1
y
=
3
x
−
1
y
=
2/
5
x
+
1
y
=
5/
3
x
+
1
The model will be 5 times longer that stated.
E.g if the model is said to be 10 feet long using this scale.
10*5=50
50 feet
Answer:
4/10
Step-by-step explanation:
40 students drive
There are 100 students
40/100 = 4/10
The easy part is isolating the absolute-value term:
5 + 7 |2<em>x</em> - 1| = -44
7 |2<em>x</em> - 1| = -49
|2<em>x</em> - 1| = -7
Remember that the absolute value function returns a positive number that you can think of as the "size" of that number, or the positive distance between that number and zero. If <em>x</em> is a positive number, its absolute value is the same number, |<em>x</em>| = <em>x</em>. But if <em>x</em> is negative, then the absolute value returns its negative, |<em>x</em>| = -<em>x</em>, which makes it positive. (If <em>x</em> = 0, you can use either result, since -0 is still 0.)
The important thing to take from this is that there are 2 cases to consider: is the expression in the absolute value positive, or is it negative?
• If 2<em>x</em> - 1 > 0, then |2<em>x</em> - 1| = 2<em>x</em> - 1. Then the equation becomes
2<em>x</em> - 1 = -7
2<em>x</em> = -6
<em>x</em> = -3
• If 2<em>x</em> - 1 < 0, then |2<em>x</em> - 1| = - (2<em>x</em> - 1) = 1 - 2<em>x</em>. Then
1 - 2<em>x</em> = -7
-2<em>x</em> = -8
<em>x</em> = 4
Answer:
B
Step-by-step explanation:
The result says y=-x+5 which can be rearrange d to x+y=5