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nlexa [21]
3 years ago
7

A parabola can be drawn given a focus of (4,-8) and a directrix of x = -4. What can be said about the parabola?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

It opens to the right and the vertex is at  (0, -8).

The axis of symmetry is y = -8.

Step-by-step explanation:

The vertex is halfway between the directrix and the focus.  

The focus is to the right of the directrix so the curve will open towards the right. The axis of symmetry is the line y = -8.

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Chelsea spent $26 on a magazine and some notepads. If the magazine cost $2 and each notepad cost $4, then how many notepads did
sesenic [268]

Answer:

6

Step-by-step explanation:

26-2=24  24/4=6

6 0
3 years ago
Read 2 more answers
A company can send a maximum of 40 workers to complete a
rewona [7]

Answer:

20

Step-by-step explanation:

For the sake of the problem, let's make female workers "x" and male workers "y".

x+y<40       This equation shows that the total number of workers has a max of 40.

30x+20y<1,000      This equation shows that the total cost the manager pays ($30 to each woman, $20 to each man) has a max of $1,000.  

Now you can solve for x and y.

X+y<40

-y       -y

X<-y+40

Substitute -y+40 in for X in the second equation

30(-y+40)+20y<1,000      

-30y+1200+20y<1,000         Distribute

-10y+1,200<1,000      Combine like terms

-10y<-200                   Subtract 1,200

y>20                Divide by -10; flip the sign

Since y>20, and y=male workers, you now know that the minimum

number of male workers he should send is 20

4 0
3 years ago
A bell pepper has 3 grams of sugar per serving.
Kobotan [32]

Answer:

For an equal number of servings, the apples will have six times as much sugar.

Step-by-step explanation:

process of elimination. All the other answer choices are incorrect and this one checks out.

5 0
3 years ago
Can someone help me out please
Brums [2.3K]

Answer:

D. g(x) = (x - 5)² + 3

Step-by-step explanation:

If a graph is translated horizontally, the value will affect x inside of the parentheses. For example, (x + #) or (x - #).

If a function is translated to the right, there will be a (-) sign. If a function is translated to the left, there will be a (+) sign.

This function needs to be translated 5 units to the right. Therefore, the equation will be: g(x) = (x - 5)² + 3

7 0
3 years ago
What is the polynomial function of lowest degree with rational real coefficients, and roots -3 and square root of 6?
telo118 [61]

9514 1404 393

Answer:

  f(x) = x³ +3x² -6x -18

Step-by-step explanation:

In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...

  f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)

  f(x) = x³ +3x² -6x -18

4 0
2 years ago
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