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Ilia_Sergeevich [38]
3 years ago
6

Which is the equation of the parabola?

Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:

  • y = -1/20(x + 3)²

Step-by-step explanation:

<u>Consider the parent function:</u>

  • y = x²

The graph of the function open up and the vertex is at the origin, the point (0, 0)

Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:

  • y = -x²

The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:

  • y = -(x + 3)²

<u>Since all the options have 1/20 as a coefficient, our function is:</u>

  • y = -1/20(x + 3)²

This is option B

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If f(x)= x^0+x^2/3+x^-2/3. Find f(8(
Serjik [45]
F(8)= 8^0+8^2/3+8^-2/3
     = 1+cube√(8)^2 + cube√(8)^-2
     = (1+4)/4
     =5/4
3 0
3 years ago
35/100 and 5/100 are proportional right?
maria [59]
In order to know that, you need to divide it from other, if it would be perfect number then your answer will be "YES" & if they not then it will be "NO"

35/100 / 5/100

You can re-write it as:
35/100 * 100/5 = 35/5 = 7

So, they are proportional to each other,.

Hope this helps!

7 0
3 years ago
given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (
taurus [48]

Answer:

opposite=8.402402490459  ,adjacent is already given=12, hypotenuse=14.64929507

Step-by-step explanation:

to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.

If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.

5 0
3 years ago
A spinner is divided into fourths and numbered 1 through 4. Jake spins the spinner and tosses a coin. What are all the possible
MaRussiya [10]

Answer:

Total number of possible outcomes in the sample space will be 8

Step-by-step explanation:

Given that,

A spinner is divided into fourths and numbered 1 through 4.

Jake spins the spinner and tosses a coin.

So,

Spinner has divided in to fourths means four parts of spinner such as : 1,2,3,4.

possible outcomes when a coin is tossed : Head(H)\ & \ Tail(T)

Now, when both spinner spins and coin tossed. possible outcomes are

                                          1H,1T\\2H,2T\\3H,3T\\4H,4T

Thus, these are the possible outcomes of given situation.

therefore,

Total number of possible outcomes in the sample space will be 8.

3 0
3 years ago
Which of the following is a solution to 3×2= -4+8x?​
IceJOKER [234]

Answer:

1.25 or 5/4 or 1 1/4

Step-by-step explanation:

That is the only number that can replace x to make the equation equal.

3 0
3 years ago
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