Check out the graph below. We see that (3,0) is a root or x intercept. More specifically, the graph only touches the x axis at this point, rather than cross over (in contrast to a root like (-2,0) ). We say that the root here is of multiplicity 2. The multiplicity is due to the exponent of 2 over the (x-3) factor.
You can also say that the graph is decreasing on the left side of (3,0) and then it bounces off the root x = 3 to increase afterward. In this region, the graph never goes below the x axis.
Answer:
Step-by-step explanation:
x = cheaper compact disc
y = more expensive compact disc
x + y = 375.....x = 375 - y
12.95x + 14.95y = 5306.25
12.95(375 - y) + 14.95y = 5306.25
4856.25 - 12.95y + 14.95y = 5306.25
4856.25 + 2y = 5306.25
2y = 5306.25 - 4856.25
2y = 450
y = 450/2
y = 225 <==== there were 225 of the more expensive compact discs sold
x + y = 375
x + 225 = 375
x = 375 - 225
x = 150 <==== there were 150 of the cheaper compact discs sold
check...
12.95x + 14.95y = 5306.25
12.95(150) + 14.95(225) = 5306.25
1942.50 + 3363.75 = 5306.25
5306.25 = 5306.25 (correct)
Answer:
48in
Step-by-step explanation:
6 x 4 x 4
96
divide it by 2
48
Answer:
$4.90
Step-by-step explanation:
If 5 cakes equal 3.50. We must divide 3.50 by 5 to see the price of just one cake. Now since 3.50/5 is 0.70. We must multiply 0.70 by 7. Since we have 7 cakes. Now we get our simple answer of $4.90.
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Please consider the attached diagram.
We have been given that angle DAB and angle DCB are right angles. We are also told that measure of angle DBC is 42 degrees. We are asked to find the measure of arc CAB.
We can see that angle DBC is inscribed angle of arc DC, so measure of arc DC is two times the measure of angle DBC.
We can also see that segment DB is diameter of given circle as inscribed angle of diameter is a right angle.
Since segment DB is diameter of given circle, so measure of arc DAB would be equal to half the measure of 360 degrees.
Therefore, the measure of arc CAB is 264 degrees.
