Answer:
y=2/3x+14
Step-by-step explanation:
The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14
The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:
0=2/3x+14
-14=2/3x
21=x
So the x-intercept is 21
Sarah
reason
she has the most consistent scores
Answer:
12 items in total
Step-by-step explanation:
40-4.5*8=4
leaving 4 dollars to spend on 4 drinks
X=3
Let's solve your equation step-by-step.
−
|
x
−
4
|
+
2
=
−
2
x
+
7
Step 1: Add -2 to both sides.
−
|
x
−
4
|
+
2
+
−
2
=
−
2
x
+
7
+
−
2
−
|
x
−
4
|
=
−
2
x
+
5
Step 2: Divide both sides by -1.
−
|
x
−
4
|
−
1
=
−
2
x
+
5
−
1
|
x
−
4
|
=
2
x
−
5
Step 3: Solve Absolute Value.
|
x
−
4
|
=
2
x
−
5
We know either
x
−
4
=
2
x
−
5
or
x
−
4
=
−
(
2
x
−
5
)
x
−
4
=
2
x
−
5
(Possibility 1)
x
−
4
−
2
x
=
2
x
−
5
−
2
x
(Subtract 2x from both sides)
−
x
−
4
=
−
5
−
x
−
4
+
4
=
−
5
+
4
(Add 4 to both sides)
−
x
=
−
1
−
x
−
1
=
−
1
−
1
(Divide both sides by -1)
x
=
1
x
−
4
=
−
(
2
x
−
5
)
(Possibility 2)
x
−
4
=
−
2
x
+
5
(Simplify both sides of the equation)
x
−
4
+
2
x
=
−
2
x
+
5
+
2
x
(Add 2x to both sides)
3
x
−
4
=
5
3
x
−
4
+
4
=
5
+
4
(Add 4 to both sides)
3
x
=
9
3
x
3
=
9
3
(Divide both sides by 3)
x
=
3
Check answers. (Plug them in to make sure they work.)
x
=
1
(Doesn't work in original equation)
x
=
3
(Works in original equation)
Answer:
1200cm
Step-by-step explanation: this is the suface area:)
