Karen will have to buy 14 jars to have an equal weight of peanut butter
When
|a|=b
assume
a=b and -a=b
so
4+|7-m|=5
minus 4 from both sides
|7-m|=1
assume
7-m=1 and
-(7-m)=1
7-m=1
minus 7 both sidees
-m=-6
times -1 both sides
m=6
-(7-m)=1
distribute
-7+m=1
add 7 to both sides
m=8
m=6 and 8
<h3>
Answer: y = (-3/2)x+3</h3>
In decimal form, this is y = -1.5x+3
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Explanation:
Start at (0,3). Move three units down and two units to the right to get to (2,0)
slope = rise/run
slope = -3/2
rise = -3 = go 3 units down
run = 2 = go 2 units to the right
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We could use the two points (0,3) and (2,0) in the slope formula below
m = (y2-y1)/(x2-x1)
m = (0-3)/(2-0)
m = -3/2
So this is another way to see the slope is -3/2
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The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3
Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3
Let x be the number of households with TV.
So .68x would be the number of households with cable.
If 8000 were added to the above number, it would be equal to 67,600,000.
Thus we have our equation:
.68x + 8000 = 67600000
Solving for x:
.68x = 67592000
x = 99,400,000
The mistake is made on line 3, after calculating 35/7, he should have started with the multiplication 6(2)
