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sergejj [24]
2 years ago
13

A rectangle has a length of (3x - 1) and a width of (x + 1). part a determine the perimeter and area of the rectangle as polynom

ials. part b determine the perimeter and area of the rectangle if x equals 5. part c determine the perimeter and area of the rectangle if x equals 8.
Mathematics
1 answer:
liubo4ka [24]2 years ago
6 0

Perimeter of rectangle is 8x and Area is 3x^2 + 2x -1..

Lets try to solve out the problem,

Length = 3x-1

Width = x+1

Perimeter = 2(l+b)

Area = l*b

Perimeter= 2 (3x-1 + x+1)

P= 8x

Area = (3x-1) (x+1)

=> 3x(x+1) -1 (x+1)

=> 3x^2 + 3x -x -1

=> 3x^2 + 2x -1.

Hence Perimeter of rectangle is 8x and Area is 3x^2 + 2x -1..

Learn more about Perimeter on:

brainly.com/question/397857

#SPJ4

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Answer for question 3 A and B please. Please explain answers! 32 points
VladimirAG [237]

Answer:

y=50

x=30

z=100

Step-by-step explanation:

x+20=y

2y=z

x+y+z=180

x+y+2y=180

3y+x=180

-y+x=-20

4y=200

y=50

x=30

z=100

4 0
3 years ago
PLEASE ANSWER !! you went to Olive Garden with your family. The bill was $64.25. You left a 16% tip. How much money was your bil
irina [24]

Answer:

$74.53

Step-by-step explanation:

16%=0.16

0.16*64.25+64.25

=(0.16+1)*64.25

=$74.53

8 0
3 years ago
given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line. 3/2 2/3 -3/2
svp [43]
2x-3y-5=0
2x-5=3y
3y=2x-5
y=\frac{2}{3} x- \frac{5}{3}
Gradient of line 1 = \frac{2}{3}
Gradient of line 2;
m_{1} * m_{2} =-1
m_{2} * \frac{2}{3} =-1
m_{2} =- \frac{3}{2}
5 0
3 years ago
1,200 laptop ; 7.25% tax can someone help me!!
ziro4ka [17]

Answer:

$2,070

Step-by-step explanation:

1200*0.0725=870

the amount of tax is $870

1200+870=2070

7 0
3 years ago
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of
asambeis [7]

Answer:

0.1587 = 15.87% probability that a person will wait for more than 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean waiting time is 6 minutes and the variance of the waiting time is 9.

This means that \mu = 6, \sigma = \sqrt{9} = 3

Find the probability that a person will wait for more than 9 minutes.

This is 1 subtracted by the p-value of Z when X = 9. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{9 - 6}{3}

Z = 1

Z = 1 has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that a person will wait for more than 9 minutes.

8 0
2 years ago
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