When you use the Distributive Property, we will find...
5x - 4 = -6x - 4
Eliminate 4 by adding it to both sides.
5x = -6x
Add 6x to both sides and we get 11x = 0.
11x = 0
Divide both sides by 11.
x=0
The only mistake Megan made was when adding 5x with Megan accidentally subtracting 5x from the other side.
For this problem:
3(2x − 4) = 5x − 1
Distribute
6x - 12 = 5x - 1
Add 1 to both sides
6x - 11 = 5x
Subtract 6x from both sides
-11 = -x
Divide both sides by -1.
x = 11.
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Answer:
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Step-by-step explanation:
The slope is denoted by m and is calculated using the formula

The given vertices are:
A(-2,4) B(-1,1) C(2,3)
The sides will be:
AB, BC, AC
Let m1 be the slope of AB
Let m2 be the slope of BC
Let m3 be the slope of AC
Now

Hence,
The slopes of three sides of triangle are as follows:
AB = -3
BC = 2/3
AC = -1/4
Answer:
The compound interest one is better by about 14 bucks.
Step-by-step explanation:
Simple interest:
500(1+.06*10)=800
Compound interest:
500(1+.05)¹⁰=814.45
Answer:
see below
Step-by-step explanation:
Let r = number of rides
total amount of money spent has to be less than or equal to 50
costs are admission and food and rides
rides cost 1.50 each
50≥ admission + food + rides
50 ≥ 15 +10 + 1.50r
Combine like terms
50 ≥25 + 1.50 r
Subtract 25 from each side
50-25 ≥25-25 + 1.50 r
25 ≥ 1.50 r
Divide by 1.5 on each side
25/1.5 ≥ 1.5r/1.5
50/3 ≥ r
Changing this to a mixed number
16 2/3 ≥r
We can only take a whole number of rides
r = 16
Beverly has not spent all of her 50 dollars since there was a fraction for the rides
cost = 15 +10 + 1.50r
15+10 + 1.5*16
25+24
49
She has 1 dollar left
We know that
the graphic has two intervals
x>1------> (1,∞)
equation of second order
and
x<=1------> (-∞, 1]
equation of a line
therefore
<span>The only option that meets these requirements is option A
</span>
the answer is
the option A