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3 years ago

Hey can you please help me posted picture of question :)

Mathematics

1 answer:

m_a_m_a [10]3 years ago

6 0

The given trinomial can be factored using factorization as

x²+4x-32
=x²+8x-4x-32
=x(x+8)-4(x+8)
=(x+8)(x-4)

Thus x+8 and x-4 are the factors of the given trinomial. From these we can see x-4 is listed in option C.

So the answer to this question is Option C

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Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

storchak [24]

Answer:

C + ⅖|x| - (³/₂)x²

Step-by-step explanation:

ƒ(x) = ⅖ - 3x ; x > 0

The antiderivative of ƒ(x) is a function that you can differentiate to get ƒ(x). It is the indefinite integral of ƒ(x).

Thus, if ƒ(x) = ⅖ - 3x, we must find ∫(⅖ - 3x)dx .

∫(⅖ - 3x)dx = ∫⅖dx - ∫3xdx = ⅖∫dx - 3∫xdx

(a) Integrate the first term

⅖∫dx = ⅖x

(b) Integrate the second term

∫xdx =½x², so

3∫xdx = (³/₂)x²

(c) Add the constant of integration, C

Remember that dC/dx =0 when C is a constant.

We don't know if there's a constant term in the antiderivative (there may or may not be one), so we include the constant term C to make it general.

(d) Combine the three terms

∫(⅖ - 3x)dx = C + ⅖x - (³/₂)x²

We must have x > 0, so

∫ƒ(x)dx = C + ⅖|x| - (³/₂)x²

Check:

(d/dx)( C + ⅖|x| - (³/₂)x²) = 0 + ⅖ - 3x = ⅖ - 3x

Differentiating the integral returns the original function.

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3 years ago

Triangle PQR is an isosceles triangle with the coordinates P(2,3), 2(5, 10), and R(8,3).

Neporo4naja [7]

Answer: A 15 units 2
Explanation: hope this helps

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3 years ago

Mr. Milleman suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 3

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2075 x .30 = 622.50

2075-622.50 = $1452.50

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3 years ago

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Lucy earns 52 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.

Misha Larkins [42]

Answer:

A = B + 52

Step-by-step explanation:

A is the total amount each week. 52 is the initial amount that she earns each week. Then, B represents the amount of books she sells. So, 15 books can be represented by

A = 15 + 52 = 67

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2 years ago

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Joanne's Dress Shop received an invoice dated July 25 for $1,400, with terms of 2/10, 1/15, n/60. On August 8, Joanne's Dress Sh

ss7ja [257]

The actual amount that should be credited is $757.58.

<u>Solution:</u>

Given that,

2% Discount if paid in 10 days.

1% Discount if paid in 15 days, (but greater that 10 days)

Net due in 60 days.