We can use the equation: y=mx+b
x represents the x-value, y represents the y-value, m represents slope, and b represent the y-intercept.
We must plug in what we know in order to find the value of b.
32 = 1.5*21 + b
32 = 31.5 + b
So b = 0.5
Now we know our equation is y = 1.5x + 0.5
We can find any other point on the line by plugging in any x-value. Let's try 5.
y = 1.5*5 + 0.5
So y =8 and our point is (5,8)
Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.
D) 65% decrease.
I worked it out by: 268 mill - 94 mill (calculating the difference in money)
then divided that by the original 268 mill, to finally get 0.64925....
And since the money is decreasing, it is a 65% decrease.
Hope this helps, and I think it should be right - but maybe double check in case :)
Answer:
The number is 3
Step-by-step explanation:
Hi,
4 ( 3 + 5x) = 72
12 + 20x = 72
20x = 60
x = 3
Hope this helps :)
Answer:
2(a+3b)-(b+c)=
2(4+3(2))-(2+3)=
2(4+6)-(5)=
2(10)-5=
20-5=
15
Step-by-step explanation: