MATHEMATICS HIGH SCHOOL

What is the root of the polynomial equation x(x-2)(x+3)=18 ? Use a graphing calculator and a system of equations.–3
0
2

Answers

Answer 1
Answer:

Answer:

3 is the root of the equation.

Step-by-step explanation:

We have to find the root of the polynomial equation x(x-2)(x+3)=18.

We can find the same by using a graphing utility and the system of equations.

We can make two equations which are given by

y=x(x-2)(x+3)....................(1)\n\ny=18

Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.

the graph has been shown in the attached file.

The intersection point is (3, 18) and the x-coordinate is 3.

Therefore,  3 is the root of the equation.
Answer 2
Answer:

It has four choses and you didn't show the right one, answer is 3.

3(3-2)(3+3)=18

3(1)(6)=18

3*6=18

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If Timmy has 20 apples and John has 15. How many do they have in total?

Answers

Answer: 35

Step-by-step explanation: Simple math.

A braid was bought to put around a blanket that measures 23 inches by 24 inches, At $0.60 per yard how much was paid for the braid if it can only be purchased by the full yard?

Answers

I am pretty sure that If you buy 3 yards it is $1.80. I hope this helps!! :)

You are a contractor who is installing new windows. You are working on a house that has 6 windows that are each 3 feet by 4 feet.If the glass for the windows costs $0.05 per square inch, approximately how much money will the glass cost for all of the window installations?

A.
$36
B.
$43
C.
$432
D.
$518

Answers

Answer:

D. $518

Step-by-step explanation:

We know that the windows are 3ft by 4ft, find the area:

A = L * W

A = 3ft * 4ft

A = 12 sq ft

12 sq ft is the area of each window in the house

Now multiply the amount of windows in the house by the 12 sqft:

12 sqft * 6

72 sq ft

The combined area of all 6 windows are 72 sqft. Now since 1 sqft is equal to 144 sq inches, simply convert the square feet into squared inches:

72 * 144

10,368 squared inches

Since each square inch costs 0.05 cents, multiply the amount of square inches by the cost of each square inch:

0.05 * 10,368

$518.4

Since D. is the closest value, that would be our answer.

The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3 hours and was charged $21. Which equation represents the cost, c(x), of ice skating as a function of x, the number of hours of skating?

Answers

c(x) = 6x + 3
shee skated for 3 hrs and was charged $21
c(3) = 6(3) + 3
c(3) = 18 + 3
c(3) = 21
correct....so it is c(x) = 6x + 3

C(x) = 6x + 3 (in USD)

Further explanation

Given:

  • The fee to rent is $3 for the day.
  • Gillian rented skates and skated for 3 hours and was charged $21.

Question:

The equation that represents cost, C(x), ice skating as a function of x, the number of hours of skating.

The Process:

We try solving a word problem about the single variable equation.

Step-1: calculate the cost of skates per hour.

Let the rate of using the skating rink be R per hour. We will seek the value of R.

On that day Gillian rented skating for 3 hours and paid $ 21. The equation that will determine this given by:

\boxed{ \ 3R + 3 = 21 \ }

Both sides subtracted by 3.

\boxed{ \ 3R = 18 \ }

We isolate R on the left side. Both sides are divided by 3.

Hence, the fee of skates per hour is \boxed{R = \$6}

Step-2: determine the cost equation for ice skating

Let x as the number of hours of skating.

Recall the fee of skates per hour is $6 and the fee to rent is $3 for the day.

Thus, the equation which represents the cost of ice skating as a function of x, the number of hours of skating, will be given by:

\boxed{ \ C(x) = 6x + 3 \ } (in USD)

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Keywords: the ice skating rink, charges an hourly fee, Gillian rented skates,  the equation represents the cost, C(x), a function of x, the number of hours of skating, a word problem, the single variable equation

George usually takes 1.5 hours to mow his neighbor’s grass and trim the bushes. Today he has only 0.75 of the usual amount of time to complete the job. Which operation describes how to find the amount of time George has to complete the job?

Answers

Anyhoot, you can multiply 1.5 by 0.75 to find the time. And you can multiply by 60 to get 67.5 minutes, aka, 1.125 hours
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What is 27a•0=0, please answer it ASAP please A. Associative Property of Multiplication
B. Commutative Property of Multiplication
C. Zero Property of Multiplication
D. Identity Property of Multiplication

Answers

The equation 27a•0=0 holds good the zero property of multiplication. Therefore, option C is the correct answer.

The given equation is 27a•0=0.

We need to find which of the given option is correct for the given equation.

What is the zero property of multiplication?

The zero property of multiplication states that when we multiply a number by zero, the product is always zero. It should be noted that this zero can come before or after the number. In other words, the position of zero does not affect the property. This property applies to all types of numbers, whether they are integers, fractions, decimals, or evenalgebraic terms.

So, the equation 27a•0=0 which holds good the zero property of multiplication.

Therefore, option C is the correct answer.

To learn more about the zero property of multiplication visit:

brainly.com/question/13050443.

#SPJ2
that would be the zero property of multiplication which states that any number times zero equals zero
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