when you get this kind of exercise, you find need to find y or x in one of the exactions and fill it in in the other, however in this exercise the two y's are already given so all you need to do is replace the y in one of the exactions with the other exactions like this:
(keep in mind, you need to keep writing both of the exactions over again, otherwise you'll lose an exaction. and we'll need it later on)
y=-2x+6
y=3x-4
y=-2x+6
-2x+6=3x-4
y=-2x+6
-2x-3x=-4-6
y=-2x+6
-5x=-10
y=-2x+6
x= 2
and now replace the x in the first exaction with the x that we found:
y=-2(2)+6
x=2
y=-4+6
x=2
y=2
x=2
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Step-by-step explanation:
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Answer:
1/5
Step-by-step explanation:
Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.
Given the samples 0,1,3,4,7
Total number of samples is 5
The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.
5C2 = 5!/(5-2)!2!
= 5!/3!2!
= 5×4×3!/3!×2
= 10ways
The total outcome is therefore 10
To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice
The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4
The expected outcome is therefore 2
the probability that the range of the sample is 4 = expected outcome/total outcome
= 2/10
= 1/5
Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor <em>k</em> from ΔBAC to ΔDEF:
Solve for the scale factor <em>k: </em>
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Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
In conclusion, the area of ΔEDF is 9.6 square inches.
Answer:
yes he is correct because if you where to graph B it would have a greater slope
Step-by-step explanation:
