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love history [14]
3 years ago
10

Please help, thanks in advance :)

Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer:

The answer to your questions are below

Step-by-step explanation:

a) f(-4)

b) -4

c) is not

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The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?
slamgirl [31]

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

4p(y-k)=(x-h)^2

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

3 0
3 years ago
Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 5
bazaltina [42]

Answer:

34 Model B gloves were sold

Step-by-step explanation:

4 0
3 years ago
If x=-1 and y= -2, then which of the following statements are true?
muminat

Answer:

  • lxl<lyl

Step-by-step explanation:

because if we solve the equation we need to do x_y = -1-2

=1

••xy=1

6 0
3 years ago
30mL:45mL simplify the ratio
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30ml:45ml\\\\\dfrac{30}{45}=\dfrac{30:5}{45:5}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\\boxed{30ml:45ml=2ml:3ml}
5 0
4 years ago
Read 2 more answers
Let event Aequalssubject is telling the truth and event Bequalspolygraph test indicates that the subject is lying. Use your own
pochemuha

Answer:

C is the right answer

Step-by-step explanation:

In this case we have the events

<em>A: The subject is telling the truth. </em>

<em>B: The the polygraph indicates that the subject is lying </em>

Recall that P(B|A) is defined as the probability that the event B occurs given that the event has already occurred, and is equals to P(B∩A)/P(A).

So, with the events we have defined, <em>P(B|A) indicates the probability that the polygraph indicates lying given that the subject is actually telling the truth. </em>

The most suitable answer is thus, C

3 0
3 years ago
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