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elena55 [62]
3 years ago
15

Question 1 (Multiple Choice Worth 5 points)

Mathematics
1 answer:
katrin [286]3 years ago
5 0
Uurcrcucrvurctuccecuwxrve
You might be interested in
6 points
kodGreya [7K]

Answer:

y=-2\,(x+3)^2-3

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex (x_v,y_v) in the expression:

y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter a:

y=a\,(x-x_v)^2+y_v\\y=a\,(x+3)^2+(-3)\\y=a\,(x+3)^2-3\\-5=a\,(-2+3)^2-3\\-5=a\,(1)-3\\a=-5+3\\a=-2

So, now we can write the full expression for the parabola:

y=a\,(x+3)^2-3\\y=-2\,(x+3)^2-3

8 0
3 years ago
Which ones correct?
natima [27]

Answer:

D

Step-by-step explanation:

y = 4 is a horizontal line which would be parallel to the x axis

6 0
2 years ago
2.Solve the system using substitution.
Lena [83]
2x+2y=38
y=x+3

First you would substitute the y for x+3
2x+2(x+3)=38

You would multiply the 2 by the x+3
2x+2x+6=38

Add the 2x and the 2x
4x+6=38

Subtract the 6 on both sides
4x=32

Divide the 4 on both sides
x=8

Now substitute the x in the second problum for 8
y=8+3

Add the 8 and the 3 to solve for y
y=11

Your answers
x=8
y=11
the correct answer would be A:(8,11)
3 0
3 years ago
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
Finger [1]
The probability is 0.1458.

The probability is given by:

_{20}C_2(0.04)^2(1-0.04)^{20-2}
\\
\\=_{20}C_2(0.04)^2(0.96)^{18}=0.1458
5 0
3 years ago
Which figure has a shaded area closest to 63%
natta225 [31]
Shape b has the shaded area closest to 63%
7 0
3 years ago
Read 2 more answers
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