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Dahasolnce [82]
2 years ago
14

hey, can someone please double check these questions for me / or help me solve them if they are incorrect? thank you U-U ​

Mathematics
1 answer:
zzz [600]2 years ago
8 0

Question 11

The directrix is a horizontal line, which means the parabola opens either upward or downward. In this case, it opens downward. This is because all answer choices have a negative leading coefficient. Also, it's because the focus is below the directrix.

For vertically opening parabolas, we use this form

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

where (h,k) is the vertex and p is the focal distance, aka the distance from the vertex the focus. To find (h,k), we start at the focus (0,-4) and move directly up until we reach the directrix y = 4. We'll arrive at (0,4). The midpoint of (0,-4) and (0,4) is (0,0) which is the vertex's location. So (h,k) = (0,0).

Note that in moving from (0,-4) to (0,4) is a span of 4 units. So this is the value of p.

Plug h = 0, k = 0, p = 4 into the equation mentioned and solve for y

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

4*4(y-0) = (x-0)^2

16y = x^2

y = (1/16)x^2

The only adjustment we need to make is to change the 1/16 to -1/16 so that the parabola opens downward.

<h3>Answer:  Choice D.  y = -(1/16)x^2</h3>

===============================================

Question 3

The given equation is in the form y = ax^2+bx+c

In this case,

  • a = 2
  • b = 4
  • c = 3

Let's compute the x coordinate of the vertex h

h = -b/(2a)

h = -4/(2*2)

h = -1

This h value is plugged into the original function to find k

f(x) = 2x^2+4x+3

f(-1) = 2(-1)^2+4(-1)+3

f(-1) = 1

We find that h = -1 and k = 1 pair up together. In short, (h,k) = (-1,1) is the vertex.

<h3>Answer: Choice B.  (-1,1)</h3>
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Oksana_A [137]

Using the domain concept, the restrictions on the domain of (u.v)(x) are given by:

A. u(x) ≠ 0 and v(x) ≠ 2.

<h3>What is the domain of a data-set?</h3>

The domain of a data-set is the set that contains all possible input values for the data-set.

To calculate u(x) x v(x) = (u.v)(x), we calculate the values of u and v and then multiply them, hence the restrictions for each have to be considered, which means that statement A is correct.

Summarizing, u cannot be calculated at x = 0, v cannot be calculated at x = 2, hence uv cannot be calculated for either x = 0 and x = 2.

More can be learned about the domain of a data-set at brainly.com/question/24374080

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FG = 18

Step-by-step explanation:

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1) Photographer B (4%)

2) Photographer D (27%)

3) Photographer C (29%)

4) Photographer A (40%)

Step-by-step explanation:

<u><em>The correct question is</em></u>

Four photographers are taking pictures at a school dance. Photographer A takes 2/5 of the pictures, Photographer B takes 4% , Photographer C takes 0.29 , and Photographer D takes 27/100 . Which choice lists the photographers in order from least to greatest by the amount of pictures they take?

we know that

1) Photographer A takes 2/5 of the pictures

That means

the amount of pictures take by photographer A in percent form is equal to multiply the fraction by 100

2/5(100)=40\% ---> percentage form

2) Photographer B takes 4%

3) Photographer C takes 0.29

That means

the amount of pictures take by photographer C in percent form is equal to multiply the decimal number by 100

0.29(100)=29\% ---> percentage form

4) Photographer D takes 27/100

That means

the amount of pictures take by photographer D in percent form is equal to multiply the fraction by 100

(27/100)(100)=27\% ---> percentage form

Lists the photographers in order from least to greatest by the amount of pictures they take

1) Photographer B (4%)

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3) Photographer C (29%)

4) Photographer A (40%)

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