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alexdok [17]
3 years ago
15

Which inequality is represented by the graph? A. y −3/2x−2 D. y≤−3/2x−2

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0

Answer:

D.)

Step-by-step explanation:

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Triple the difference between 32 and 19. A. 3 x (32 -19) B. 32 - 19 x 3 C. 3 x 32-19 D. (3 x 32)-19
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The answer is A 3x(32-19)

Reasoning: Triple the difference of 32 and 19 would be a 3x multiplication of 32-19, you need parenthesis in order to do 32-19 first because of PEMDAS. SO the answer would be 3x(32-19 because none of the other options would show the equation correctly.

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Use synthetic division to solve (2x^3+4x^2-35x+15) divided by (x-3) What is the quotient?
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Answer:


Step-by-step explanation:

The only thing you need to watch carefully is the divisor which in this case is   x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.  

x - 3 =0

x = 3

So the divisor is 3.

3  ||  2    4    -35    15

             6     30    -15

======================

       2   10    -5      0

So the quotient is

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A rain gutter is made from sheets of aluminum that are 16 inches wide by turning up the edges to form right angles. Determine th
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Answer:

Depth of the rain gutter is 8 inches

Step-by-step explanation:

Let’s assume ‘x’ is the depth of the rain gutter

Then the width of the rain gutter can be written as 16 - 2x

Cross sectional area

A = depth x width

Substitute values

A = x*(16 - 2x)

A = 16x – 2x^2

Now according to axis of symmetry for maximum area x = -b/2a

x = -16/2*(-2)

x = 4 inches depth of rain gutter, substitute the value of x to get

Width of rain gutter 16 – 2(4) = 8 inches

Area of the rain gutter for maximum water flow

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Answer:

answer is (3,7)

Step-by-step explanation:

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