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Natalija [7]
3 years ago
5

Solve the following quadratic function by utilizing the square root method. y = 16 – x2

Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Answer:

The solutions are x = -4 and x = 4.

Step-by-step explanation:

Solving a quadratic equation:

We have to find x for which y = 0.

In this question:

y = 16 - x^2

So

16 - x^2 = 0

x^2 = 16

x = \pm \sqrt{16}

x = \pm 4

The solutions are x = -4 and x = 4.

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which is an algebraic equation that represent s the following word problem that shows how many bonus points , s, Samantha earned
Anna35 [415]
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7 0
3 years ago
Solve the system of equations. y = x − 5 and y = x2 − 5x + 3 A. (-4,-9) and (-2,-7) B. (4,-9) and (2,-7) C. (4,-3) and (2,-1) D.
larisa [96]

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = x - 5 → (1)

y = x² - 5x + 3 → (2)

Substitute y = x² - 5x + 3 into (1)

x² - 5x + 3 = x - 5 ← subtract x - 5 from both sides

x² - 6x + 8 = 0 ← in standard form

(x - 2)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4

Substitute each of these values into (1) for corresponding values of y

x = 2 → y = 2 - 5 = - 3 ⇒ (2, - 3 )

x = 4 → y = 4 - 5 = - 1 ⇒ (4, - 1 )

4 0
3 years ago
Read 2 more answers
Help please. 10 points to who help me​
Lelechka [254]

9514 1404 393

Answer:

  64/109 ≈ 0.5872

Step-by-step explanation:

41 + 23 = 64 of the events have outcome E.

An additional 35 + 10 = 45 do not.

The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.

  P(E) = 64/109 ≈ 0.5872

4 0
3 years ago
What is 4/10 times 8/10???​
pshichka [43]

Answer:

8/25

Step-by-step explanation:

We do this by multiplying the top first, and we get 32.

We then multiply the bottom, and get 100.

You might think the answer is 32/100.

Well, kind of! We need to simplify!

we divide the top and bottom by four to get our answer, 8/25.

3 0
3 years ago
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