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mart [117]
3 years ago
14

How do i graph the quadratic function f (x)=-(x-3)(x+1)

Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answers:

It's basically <em>Inside, Outside, Outside, Inside. </em>(I. O.O.I.)

Explanations:

Given

f(x)=-(x-3)(x+1)

Distribute the (-1) to (x-3)

f(x)=(-x+3)(x+1)

Now let's work the I. O. O. I.

Inside:

(-x)(x)=-x^2

Outside:

(-x)(1)=-x

Outside:

(3)(x)=3x

Inside:

(3)(1)=3

Add both the outsides (-x) and (3x) together

-x+3x=2x

Your new equations is now.

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

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Carlos went to PetSmart to get his hamster an exercise ball. There was a small one with a 5 inch diameter and a 13 inch ball. Ho
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The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

<h3>What is the Volume of a Sphere/Spherical Solid?</h3>

To find the volume of a sphere, which is the amount of space the solid contains, the formula used is given as: 4/3 πr³, where r is the radius of the sphere, which is half the measure of the diameter. Volume of sphere (V) = 4/3 πr³.

Diameter of the smaller spherical ball = 5 inches

Radius of the smaller spherical ball = 5/2 = 2.5 inches

Volume of the smaller spherical ball = 4/3 πr³ = 4/3 × π × 2.5³

Volume of the smaller spherical ball ≈ 65.5 in.³

Diameter of the larger spherical ball = 13 inches

Radius of the larger spherical ball = 13/2 = 6.5 inches

Volume of the larger spherical ball = 4/3 πr³ = 4/3 × π × 6.5³

Volume of the larger spherical ball ≈ 1,150.3 in.³

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,150.3  - 65.5

The amount of space (volume) that is in the larger spherical ball than the smaller = 1,084.8 in.³

Learn more about the volume of sphere on:

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4 0
1 year ago
Use the pythagorean Theorem to prove the three sides of the triangle are the three sides of a right triangle. Show all of your w
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Answer:

2^{2} + (2\sqrt{3}) ^{2} = 4 + 4 * 3 = 16 = 4^{2}

Step-by-step explanation:

The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and 2\sqrt{3}, squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and 2\sqrt{3} being the legs of the right triangle, and 4 being the hypotenuse.

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3 years ago
What is the product of the binomials (4a – 1) and (2b + 3)?
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Answer:

D. 8ab+12a-2b-3

Step-by-step explanation:

You are basically combining like terms

8 0
2 years ago
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7. CHALLENGE: Use the digits 0 to 9 to make the equation true. You don't need to use all thedigits you can only use each digit o
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9514 1404 393

Answer:

  20 = 2 + (7 -4) × 6

Step-by-step explanation:

The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.

If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.

We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).

Our final expression is chosen to be ...

  20 = 2 +(7 -4)×6

3 0
2 years ago
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