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3 years ago

Which of the following best describes the relationship between (x-2) and the polynomial 2x^3+x^2-3

1 answer:

3 0

If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynominal is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.

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Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror

PtichkaEL [24]

<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

<u>Length of the mirror Austen needs to buy ➢</u> 3 ft
<u>Width of the mirror Austen needs to buy ➢</u> 2 ft
<u>Cost of mirror per square foot ➢</u> $5.00

Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

Area of Mirror = Length × Width
Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

<u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

<u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h2><u>Final Answer :-</u></h2>

Total cost of the mirror Austen needs to buy will be $30

7 0

3 years ago

B. The school prom committee sold presale tickets for

Ivan

Answer:

218 students purchased tickets at the dance.

Step-by-step explanation:

Let,

x be the number of presale tickets

y be the number of tickets sold at the dance

According to given statement;

x+y=334 Eqn 1

18x+24y=7320 Eqn 2

Multiplying Eqn 1 by 18

18(x+y=334)

18x+18y=6012 Eqn 3

Subtracting Eqn 3 from Eqn 2

(18x+24y)-(18x+18y)=7320-6012

18x+24y-18x-18y=1308

6y=1308

$\frac{6y}{6}=\frac{1308}{6}\\y=218$

Therefore,

218 students purchased tickets at the dance.

5 0

3 years ago

Can someone help me with this math homework please!

azamat

It is not necessary that the function decreasing over a given interval always be negative.

A function f(x) (value) decreases as x increases.

This does not mean that value of f(x) is negative.

It can have positive number as range.

7 0

2 years ago

Read 2 more answers

Which matrix translates the vector 〈4,-3〉 to 〈6,-8〉?

Mars2501 [29]

Answer:

2, -5

Step-by-step explanation:

3 0

3 years ago

3/4 of the shirts in a store are black. 50% of the shirts are white and the remaining 12 shirts are red. How many black masks ar

saul85 [17]

Answer:

There are total 96 shirts out of which 72 are black and 12 are white and 12 are red.

Step-by-step explanation:

Let the total number of shirts be x.

Then 3/4= 0.75 shirts are black

50% or 50/100 =0.5 of 1/4 ( 1-3/4) remaining are white

and 12 are red

x= 0.75x+0.125x+12

x= 0.875x+ 12

x-0.875x= 12

0.125x= 12

x= 12/0.125

x= 96

There are total 96 shirts out of which 3/4 are black

96*0.75= 72 are black and

96*0.25= 24 are left behind out of which 50% are white.

12 are white and 12 are red.

4 0

3 years ago