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2 years ago

Options: Infinitely many no one

Mathematics

1 answer:

ra1l [238]2 years ago

7 0

Answer:

Infinitely Solutions

Step-by-step explanation:

Solution:

$8x+2y=8.......(1)$

$y=-4x+4.......(2)$

By substitute equation (2) in equation (1) , we will have

$8x+2y=8\\8x+2(-4x+4)=8\\8x-8x+8=8\\8x-8x=8-8\\0=0$

Hence,

Using a graphing calculator, we can see that both lines are equal.

Hence, The system infinitely many solutions

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What is the formula for the following geometric sequence?

Lelechka [254]

Answer:

Correct answer: Third answer aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾

Step-by-step explanation:

Given:

-5, -10, -20, -40,.....

First term a₁ = -5

Second term a₂ = -10

Third term a₃ = -20

Common ratio or quotient

q = a₂ / a₁ = a₃ / a₂ = -10 / -5 = -20 / -10 = 2

q = 2

First term a₁

Second term a₂ = a₁ · q = a₂ · q²

Third term a₃ = a₂ · q = a₁ · q³

.....................................................

n-th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾

aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾

God is with you!!!

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3 years ago

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Harry walks to a produce market to buy bananas. If a pound of bananas costs $0.49, how much will Harry pay for 3 pounds of banan

romanna [79]

Answer:

1.47

Step-by-step explanation:

it will be 1.47 for three pounds

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2 years ago

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Washing his dad's car alone, eight-year-old Levi takes 2.5 hours. If his dad helps him, then it takes 1 hour. How long does it t

Dmitry [639]

Answer:

Levi's dad takes 1.67 hours to wash the car by himself

Step-by-step explanation:

* Lets explain how to solve the problem

- Levi takes 2.5 hours to wash his dad's car alone

- Levi and his dad take 1 hour to wash the dad's car together

∵ Levi takes 2.5 hours to wash the car alone

∴ The rate of Levi is 1/2.5 car/hr

∵ His dad takes x hours to wash the car alone

∴ The rate of his dad is 1/x car/hr

∵ They working together for 1 hour to wash the car

- The equation of the work is rate of Levi × t + rate of his dad × t = 1

∵ t is the time of working together

∵ t = 1 hour

∴ $\frac{1}{2.5}(1)+\frac{1}{x}(1)=1========\frac{1}{2.5}+\frac{1}{x}=1$

- Multiply both sides by 2.5x to cancel the denominators

∵ $\frac{1}{2.5}(2.5x)=x=====\frac{1}{x}(2.5x)=2.5$

∵ 1 × (2.5x) = 2.5x

∴ x + 2.5 = 2.5x

- Subtract x from both sides

∴ 2.5 = 1.5x

- Divide both sides by 1.5

∴ x = 5/3 ≅ 1.67

∵ x is the the time of his dad to wash the car alone

∴ Levi's dad takes 1.67 hours to wash the car by himself

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3 years ago

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What is the solution to the trigonometric inequality sin(x) > cos(x) over the interval 0 ≤ x ≤ 2pi radians?

suter [353]

Answer:

Step-by-step explanation:

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2 years ago

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Which is closest to the volume of a cylinder with a height of 11 inches and

Veseljchak [2.6K]

Answer:

The closest to the volume of cylinder is 63 in.³.

Step-by-step explanation:

Given:

Cylinder with a height of 11 inches and a circumference of 8 1/2 inches.

Now, to find the volume.

As circumference is given we get the radius by putting formula:

Circumference = 8 1/2 inches = 17/2 inches.

Let the radius be $r.$

$Circumference=2\pi r$

Taking the value of π = 3.14.

$\frac{17}{2}=2\times 3.14\times r$

$8.5=6.28\times r$

Dividing both sides by 6.28 we get:

$1.35=r$

So, radius = 1.35 inches.

Height = 11 inches.

Now, putting the formula to get the volume:

$Volume=\pi r^2h$

$Volume=3.14\times 1.35^2\times 11$

$Volume=3.14\times 1.8225\times 11$

$Volume=3.14\times 20.0475$

$Volume=62.949\ inches^3$

Hence, the volume of cylinder = 63 inches³ (approximately).

Therefore, the closest to the volume of cylinder is 63 in.³.

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3 years ago