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2 years ago

What is the leading coefficient of the polynomial? 7x + 10x2 + 3x3 − 5 A) −5 B) 10 C) 3 D) 7

Mathematics

1 answer:

valkas [14]2 years ago

5 0

Answer:

The answer to your question is: 3, letter C

Step-by-step explanation:

Leading coefficient is the coefficient that is written in front of the variable with the highest power.

7x + 10x² + 3x³ − 5

In this polynomial the term with the highest power is 3, so the coefficient that is in front of the variable with this power is also 3.

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Factor completely 4u^2 + 28u + 49

nata0808 [166]

$4u^2+28u+49=4u^2+14u+14u+49=2u(u+7)+7(u+7)=\\ \\=(u+7)(2u+7)$

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2 years ago

Divide polynomials x2+10x+25/x+5

zhenek [66]

Answer:

x+5

Step-by-step explanation:

Simply it so it is

(x+5)(x+5)/(x+5)

And then you will take out the (x+5) from the numerator and denominator to get the answer.

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2 years ago

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Medicine can be described as

larisa [96]

Answer:

C) a type of drug used to cure, prevent, or treat illness or discomfort.

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3 years ago

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The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14

evablogger [386]

Answer:

$-0.0002x^2 +26x-120000$

Step-by-step explanation:

The correct question should be:

We have been told that all we have to do to get profit is to subtract the cost from revenue.

Revenue = $40x - 0.0002x^2$

Cost = $14x + 120,000$

Hence:

Profit = $40x - 0.0002x^2 - (14x + 120000)$

$40x - 0.0002x^2 - 14x - 120000\\\\40x - 14x - 0.0002x^2 - 120000\\\\26x - 0.0002x^2 - 120000$

Putting it in ordered form:

$-0.0002x^2 +26x-120000$

This is an expression for the profit.

4 0

2 years ago

Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756

horsena [70]

Answer:

Plane = 441 mi/h; wind = 63 mi/h

Step-by-step explanation:

distance = rate × time

Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

p - w = speed against wind

We have two conditions:

(1) 756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants (3) 756 = 2p - 2w

(4) 756 = 1.5p + 1.5 w

Multiply Equation (3) by 3 (5) 2268 = 6p - 6w

Multiply Equation (4) by 4 (6) 3024 = 6p + 6w

Add Equations (5) and (6) 5292 = 12p

Divide each side by 12 (7) p = 441 mi/h

Substitute (7) into Equation(3) 756 = 882 - 2w

Add 2w to each side 2w + 756 = 882

Subtract 756 from each side 2w = 126

Divide each side by 2 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2 (2) 756 = (441 + 63) × 1.5

756 = 378 × 2 756 = 504 × 1.5

756 = 756 756 = 756

8 0

2 years ago