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Bezzdna [24]
3 years ago
10

The function f(x) is a quadratic function and the zeros of f(x) are -2 and 4. The y-intercept of f(x) is -32. Write the equation

of the quadratic polynomial in standard form.

Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:

  f(x) = 4x^2 -8x -32

Step-by-step explanation:

If "a" is a zero, then (x -a) is a factor. For some scale factor k, the equation can be written ...

  f(x) = k(x +2)(x -4)

We want f(0) = -32, so ...

  f(0) = -32 = k(0 +2)(0 -4) = -8k

  4 = k . . . . . divide by -8

Then the factored equation is ...

  f(x) = 4(x +2)(x -4)

Multiplying it out gives ...

  f(x) = 4x^2 -8x -32

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Marcus wants to use a model to determine the difference
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We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

To learn more about Marcus refer to,

brainly.com/question/23140234

#SPJ1

8 0
1 year ago
Can the sides of a triangle have lengths 2, 13, and 14?
ohaa [14]

Answer:

Yes

Step-by-step explanation:

The larger side is smaller than the other sides combined

(2 + 13) > 14

Hope this helps

7 0
2 years ago
Is the circumference of all circles about 3 times greater than their diameters. and why?
stira [4]

Answer:

<h2>Yes the circumference is about times greater than their diameters</h2>

Step-by-step explanation:

We will approach this problem by doing a check

Say the diameter of a circle is 4 cm

Hence the radius is 3 cm

We know that the circumference is C=2\pi r

C=2*3.142*2= 12.57cm

The circumference is about 3 time bigger than the diameter

Let us try another case say the diameter is 6 cm

The radius is 3 cm

C=2*3.142*3= 18.85cm

8 0
3 years ago
Simon bought 2 pounds of cucumbers, 8 ounces of alfalfa sprouts, 3 pounds of lettuce, and 15 ounces of tomatoes. How many ounces
AVprozaik [17]

Answer:

he buy 23 ounces of vegetables

3 0
3 years ago
A theatre has 1,450 seats. If 42% of these are balcony seats. How many balcony seats does the theatre have?
kirill115 [55]

Answer:

609

Step-by-step explanation:

All you must do is multiply 1450 by 0.42. That would give you the total.

5 0
2 years ago
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