A basketball court is in the shape of a rectangle. It has a length of (x − 7) meters and a width of (x + 3) meters. The expression below represents the area of the court in square meters:(x − 7)(x + 3)

Which of the following simplified expressions represents the area of the basketball court in square meters?

− 6x + 3
x^2 − 21
x^2 − 4x − 21
x^2 − 7x + 3

Answers

Answer 1

Answer: x^2 -3x+7x-21

so simplified is:

x^2 - 4x - 21

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4x^(2)+11x+7=0 The discriminant is (Simplify your answer. )

Okay so I have having a little problem with slope- intercept form when you have two points. Help?

Answers

To find the slope of the line you have to do change in y over the change in x. I will be using the example (3,6) and (1,4). So if you find the change in y over the change in x you have 2/2. The slope would be 1. and if you have slope intercept form (y=mx+b) you get y=1x+b. Now all you have to find is b. Substitute in any of the points given and you have 4=1+b. Therefore b = 3. So your full equation is: y=x+3

A music festival charges $54.95 per ticket sold on the day of the event. A ticket purchases before the festival costs only $39.95. They were 20,000 tickets sold for a total of 925,000. How many tickets did they sell at the music festival? How many tickets do they sell before the music festival?

Answers

b=number of ticets sold before
a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a

total cost=925000
39.95b+54.95a=925000

total number tickets=20000
b+a=20000

we have

39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
-39.95b-39.95a=-799000 +
0b+15a=126000

15a=126000
divide bot sides by 15
a=8400

sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600

11,600 tickets sold before
8400 tickets sold after

Insert three rational numbers between -2/3 and 3/4

Answers

Answer:

1/4, 1/2 and 1/3

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b

So for ease of answering, we can just select values closer to the extremes given

so we can have 1/4, 1/2 and 1/3

These three numbers are all greater than the minimum extreme (-2/3) and less than the maximum extreme

Use a calculator to find each answer. Round to the nearest tenth.1.) 8392-(530+239)
2.) (984.2 - 845) ÷5
3.) (1000÷14.6) +8.4
4.) (8392-530) + 539

Answers

7623, 27.8, 76.9, and 8401 it is really simple just use a calculator........

How to find simplify the ratio 25:35

Answers

5:7

Step-by-step explanation:

To simplify the ratio 25:35, you can divide both numbers by their greatest common divisor (GCD). In this case, the GCD of 25 and 35 is 5. So, dividing both numbers by 5 gives us the simplified ratio: 5:7.

Answer:

25:35 or 25/35 = 5/7 or 5:7

Step-by-step explanation:

1. Start with the ratio 25:35.

2. Find the HCF of 25 and 35. The HCFof 25 and 35 is 5.

3. Divide both numbers in the ratio by the HCF.

25 ÷ 5 = 5

35 ÷ 5 = 7

4. The simplified ratio is 5:7.

Therefore, the simplified form of the ratio 25:35 is 5:7.

Solve and then use estimation to make sure your answer is reasonable. Kyle can read 22 pages of his book in an hour. Kyle read for 114.5 hours last summer.

How many pages did Kyle read last summer?

Answers

114.5 hours = 6870 minutes
∴ 6870 ÷ 22 = 312.2727273

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