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3 years ago

F(x)=x^2+3+6 and g(x)=x-3/2 solve for f(g(x)) when x=1

1 answer:

7 0

1). f(x) = x² + 3+ 6
f(x) = 1² + 3 + 6
f(x) = 1 + 3 + 6
f(x) = 4 + 6
f(x) = 10
______________________

2). g(x) = x - 3/2
g(x) = 1 - 3/2

g(x) = 1 - 3
-------- = -1
2

g(x) = -1
__________________________________________________________

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Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card an

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Answer:

1) is not possible

2) P(A∪B) = 0.7

3) 1- P(A∪B) =0.3

4) a) C=A∩B' and P(C)= 0.3

b) P(D)= 0.4

Step-by-step explanation:

1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4

2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by

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P(A∪B) = 0.7

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3 years ago

Find the equation of the line that has slope of 7 and passes through the point (-9,2).

lawyer [7]

Answer:

y=7x+65

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:

y=7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,2). When x of the line is -9, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).

So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.

The equation of the line that passes through the point (-9,2) with a slope of 7

y=7x+65

Have a nice day!

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