A constant of variation is only in the form ay=bx where b/a=constant so given any point y/x=constant let us check here by substituting x=1 and x=2
when x=1---> 2y=14,y=7 here y/x=7
when x=2--->2y=19,y=9.5 here y/x=4.75
so this equation is not constant of variation
let us check an equation of the form 3y=7x
when x=1--->y=7/3--->y/x=7/3
when x=2--->y=14/3---->y/x=7/3
so 3y=7x is a constant of variation
First, calculate f(g(x))==> you plug (5x+4) in the value of x in f(x)
==>f(g(x))= 8-[10(5x+4)===>8-50x-40===>f(g(x))= -50x + 32
& f(g(-2))= -100+32 =68.
There is a mistake in your answers, it should be 68 & not 78
Step-by-step explanation:
x-intercept: where y = 0
Set y to zero to find x.
0 = ½x + 3
-3 = ½x
x = -6
(-6, 0)
If each is similar, then 6 times (5) = 30
therefore 8 times (5) = 6X - 8
40 = 6X - 8
add 8 to both sides 48 = 6X
divide by 6 8 = X
Applying probability concepts, it is found that the correct statements are:
- c) pa and pb are not equal
- d) pa is 2/3 and pb is 1/3
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- A probability is the number of desired outcomes divided by the number of total outcomes.
The sample space, that is, the possible outcomes for the coin tosses is given next, considering H for heads and T for tails.
H - H
H - T
T - H
T - T
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- Considering that there is at least 1 tails, the new sample space is:
H - T
T - H
T - T
- pa: probability of one head, two outcomes with 1 head out of three, thus, pa = 2/3.
- pb: probability that the second is tails, so one outcome(T - T) out of three, thus pb = 1/3.
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The correct statements are:
- c) pa and pb are not equal
- d) pa is 2/3 and pb is 1/3
A similar problem is given at brainly.com/question/14798120
