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Licemer1 [7]
2 years ago
13

PLEASE HELP. I HAVE FIVE MINUTES TO ANSWER

Mathematics
1 answer:
xxMikexx [17]2 years ago
5 0

Answer:

  • 8x² + 8x - 2

Step-by-step explanation:

<u>We know that:</u>

  • Perimeter of a rectangle = Sum of all its sides
  • Length of rectangle = 4x² - x + 2
  • Width of rectangle = 5x - 3

To find the perimeter, we need to use the equation "Perimeter of a rectangle = Sum of all its sides".

<u>Solution:</u>

  • Perimeter of a rectangle = Sum of all its sides
  • => 2[{4x² - x + 2} + {5x - 3}] = Perimeter
  • => 2[4x² - x + 2 + 5x - 3] = Perimeter
  • => 2[4x² + {-x + 5x} + {2 - 3}]
  • => 2[4x² + 4x - 1]
  • => 8x² + 8x - 2

Hence, the perimeter of the rectangle is 8x² + 8x - 2.

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7x - y = - 1 + -7x + 3y = - 25
Fittoniya [83]
Hope this helps you out :D

It’s 2 equations so in order to solve the previous system, you can use different methods, as for example substitution or addition of equations. In this case, you use the second one, due to the fact you have 7x in one equation and -7x in the other equation. In this way you can easily eliminate variable x and then solve for y. With the value of y you can replace in any of the two equations and solve for x.

7x-y=-1
-7x+3y=-25

Summarizing, you proceed as follow:
- add up the given equations

7x - y = -1

-7x+3y=-25
——————
0 +2y=-26

- solve for y in the previous equation

2y=-26
y=-26/2
y=-13


- replace the obtained value of y in one of the given equations, and solve for x

7x-(-13)=-1

7x+13=-1

7x=-1-13

7x=-14

x=-14

x=-14/7

x=-2


Hence, the solution of the given systems of equation is:

X=-2

Y=-13

4 0
3 years ago
How many angles are supplementary to the angle of 100 degrees?
Katen [24]

Answer:

I think its 2 good luck

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1
Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

P(x=r)=^nC_rp^rq^{n-r}

(a) Exactly two will be drunken drivers.

P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}

P(x=2)=66(0.2)^{2}(0.8)^{10}

P(x=2)=\approx 0.28347

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)

P(x=3\text{ or }x=4)=P(x=3)+P(x=4)

Using binomial we get

P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}

P(x=3\text{ or }x=4)=0.236223+0.132876

P(x=3\text{ or }x=4)\approx 0.369099

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

P(x\geq 7)=1-P(x

P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]

P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]

P(x\leq 7)=1-[0.9961]

P(x\leq 7)=0.0039

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)

P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315

P(x\leq 5)=0.9806

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0
3 years ago
Victoria's parents borrow 6,300 from the bank for a new car. the interest rate is 6% per year. how much interest will they pay a
scoray [572]
You have to state the time of the loan.
**********************************************************
8 0
3 years ago
A city has a populations of 38,802,500 people. estimate the population ot hte nearest ten million
Zolol [24]

Answer:

39,000,000

Roundend to the nearest 1,000,000 or

the Millions Place.

38,802,500.0000000

Roundend to the nearest 0.0000001 or

the Ten Millionths Place.

8 0
3 years ago
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