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snow_tiger [21]
2 years ago
10

Which is the best estimate for the mass of a desktop computer

Mathematics
1 answer:
allsm [11]2 years ago
4 0
A is the answer 500g
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Please show the steps​
notka56 [123]

Answer:

  x = -3, 0, or 7

Step-by-step explanation:

After removing common factors, the remaining quadratic can be factored by comparison to the factored form of a quadratic.

__

<h3>Step 1</h3>

Write the equation in standard form.

  4x³ -16x² -84x = 0

<h3>Step 2</h3>

Factor out the common factor from all terms.

  = 4x(x² -4x -21) = 0

<h3>Step 3</h3>

Compare to the factored form of a quadratic:

  (x +a)(x +b) = x² +(a+b)x +ab

This tells you the constants 'a' and 'b' in the factors can be found by considering ...

  (a+b) = -4 . . . . the coefficient of the x term of the quadratic

  ab = -21 . . . . . the constant term of the quadratic

It is often helpful to list factor pairs of the constant:

  -21 = (-21)(1) = (-7)(3) . . . . integer pairs that have a negative sum

The sums of these pairs are -20 and -4. We are interested in the latter. We can choose ...

  a = -7, b = 3

<h3>Step 4</h3>

Put it all together.

  4x³ -16x² -84 = (4x)(x -7)(x +3) = 0 . . . . . factored form of the equation

<h3>Step 5</h3>

Apply the zero product rule. This rule tells you the product of factors will be zero when one or more of the factors is zero:

  4x = 0   ⇒   x = 0

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

Solutions to the equation are x ∈ {-3, 0, 7}.

_____

<em>Additional comment</em>

What we did in Step 3 is sometimes referred to as the X-method of factoring a quadratic. The constant (ab product) is put at the top of the X, and the sum (a+b) is put at the bottom. The sides of the X are filled in with values that match the product and sum: -7 and 3. The method is modified slightly if the coefficient of x² is not 1.

A graphing calculator often provides a quick and easy method of finding the real zeros of a polynomial.

3 0
2 years ago
Can someone please help me?
goldenfox [79]

Answer:

2 sin x cos x

sorry for wrong answer

7 0
3 years ago
Using the following image, find GH given HI = 1 and GI =<br> = 9.
shepuryov [24]

Answer:

8

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
I need some help i cant figure this out
Luden [163]

Answer:

Um the picture isn´t very clear it is hard to see it.

Step-by-step explanation:

at least on my end it is.

8 0
2 years ago
Whoever gets this right, gets cake
Mariana [72]

Answer:

D is the answer

Step-by-step explanation:

don't froget my cake!! :)

5 0
2 years ago
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