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2 years ago

What is the constant of the polynomial 2x3 - 8x2 + 3x - 7

Mathematics

1 answer:

Firlakuza [10]2 years ago

8 0

Answer:

-7

Step-by-step explanation:

A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.

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FOR 14 POINTS Thalia, a quiz show contestant, answered 20 questions. She was awarded 2 points for every correct answer that she

Svetradugi [14.3K]

Answer:

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.

Step-by-step explanation:

Given

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

Required

Spot the error in the viewer's calculation

The viewer represents the correct answers with x and the incorrect ones with y.

This implies that

$x + y = 20$

Also, for every correct answers, she gets 2 points;

This can be represented by 2x

and for every incorrect answers, she gets -1 point

This can be represented by -y

This implies that

$2x - y = 28$

This is where the viewer made a mistake

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

Solving further

$2x - y = 28$

$x + y = 20$

Add both equations together

$2x + x + y - y = 28 + 20$

$3x = 48$

Divide both sides by 3

$\frac{3x}{3} = \frac{48}{3}$

$x = \frac{48}{3}$

$x = 16$

Substitute $x = 16$ in $x + y = 20$

$16 + y = 20$

Subtract 16 from both sides

$16 - 16 + y = 20 - 16$

$y = 20 - 16$

$y = 4$

This implies that the contestant answered 16 questions correctly and 4 questions incorrectly

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2 years ago

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Lelia says that 75% of a number will always be greater than 50% of a number. Complete the inequality to support Lelia's claim an

worty [1.4K]

Answer:

Let 'x' and 'y' be two different numbers.

Leila says that 75% of a number will always be greater than 50% of a number. The inequality that represents this statement is the following:

0.75x > 0.5y

Let x = 100 and y=200. We have that:

0.75(100) > 0.5(200)

75 > 100 ❌ INCORRECT ❌

Given that we found a case in which 75% of a number is not greater than 50% of a number, we can conclude that Leila's claim is incorrect.

3 0

2 years ago

The density of air is approximately 1.225 kg/m^3 what is the volume of a soccer ball if the mass of the air it contains is 0.08

svetoff [14.1K]

Using the the density(D)-mass(m)-volume(V) formula $m=DV$ , we can calculate the volume $V= \frac{m}{D}= \frac{0.08}{1.225}= 0.0653 m^{3}$

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2 years ago

Malachi took cans to the recycling plant and put them into the can-crusher one at a time. after he had already crushed some of t

ioda

2/3
it is 2/3 or not I don't know

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2 years ago

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USING STRUCTURE An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles, as s

Nesterboy [21]

Answer:

Step-by-step explanation:

Find the digram attached.

Perimeter of the track = perimeter of the rectangle + perimeter of the 2semicircles

Perimter of a rectangle = 2(x+r) where:

x is the length

2r is the width of the rectangle = diameter of the semicircle

Perimeter of semicircle = 2πr/2 = πr

Perimeter of 2semicirle = 2πr

Perimeter of the track = 2(x+2r) + 2πr

r is the radius if the semicircle

Expand

Perimeter of the track = 2x+4r + 2πr

Perimeter of the track = 2(x+2r+πr)

b) Given P = 2(x+2r+πr), we are to make x the subject of the formula.

P = 2x+4r+2πr

P-4r-2πr = 2x

Divide both sides by 2.

(P-4r-2πr)/2 = 2x

x = (P-4r-2πr)/2

c) Given

P = 600fr

r = 50ft

x = (600-4(50)-2π(50))/2

x = (600-200-100(3.14))/2

x = 400-314/2

x = 86/2

x = 43ft

Hence the value of x to nearest foot is 43ft

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2 years ago