What exactly is a Linear function?

Answers

Answer 1
Answer: A linear function is a function whose highest power of the variables is 1.

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A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elapsed, which function represents the scenario?A f(x) = 1500(1.15)x B f(x) = 1500(115)xC f(x) = 1500(2.15)xD f(x) = 1500(215)x
How can i write 4.9 as a improper fraction in simplest form
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Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes.This system of equations models the situation.

x + y =125

5x + 8y = 775

Solve the system to answer the questions.

How many premium car washes were ordered?

premium car washes



How many quick car washes were ordered?

quick car washes

Answers

Answer:

50 and 75

Step-by-step explanation:

trust me bro

Answer:

50 and 75

Step-by-step explanation:

Hope this helps :)

What is 300,000+90,000+5,000+40

Answers

Answer:

395,040

Step-by-step explanation:

300,000+90,000+5,000+40

=390,000+5,000+40

=395,000+40

=395,040

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of the new rectangular prism is 450 cubic inches. The equation 2x3 + 8x2 = 450 can be used to find x. What was the side length of the original cube? Use a graphing calculator and a system of equations to find the answer.4 inches
5 inches
9 inches
10 inches

Answers

The length of the side of the original cube in the given scenario is 5 inches.

A cube is a three-dimensional figure with equal sides.

Given that

The length of the edge of a cube = x

Also, one of the sides is increased by 4 inches, and another side is doubled,

so, now the new dimensions are x, x+4, 2x, and the shape is a rectangular prism.

The area of the rectangular prism = 450 sq. inches

base × height × length = 450 sq. inches

x × (x + 4) × 2x = 450

2x³ + 8x² = 450

2x³ + 8x² - 450 = 0

x³ + 4x² - 225 = 0

Substitute x=5  to see that it is a root of the equation,

5³ + 4(5)² - 225 = 125 + 100 - 225 = 0

So, x - 5 is a factor of the equation,

Now,

x³ + 4x² - 225 = (x−5)(x² + 9x + 45) = 0

The roots of the quadratic equation are imaginary as

D = 9² - 4 × 1 × 45 = 81 - 180 = -99

The discriminant is negative, therefore, the roots are not real.

So, the length of the side of the original cube is 5 inches.

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the answer  i got is 5 inches  im glad to help

3x+2y=19
x+y=8
ayuden por favor

Answers

3x + 2y = 19
x + y = 8

3 (x + y) = 3 (8)
3x + 3y = 24

3x + 2y = 19
-
3x + 3y = 24
--------------------
-y = -5
y= 5


x + y = 8
x + 5 = 8
x = 3

(3, 5)

In 56 years, Kevin will be 9 times as old as he is right now.
How old is he right now?

Answers

Answer:

he's 7 years old

Answer:

Step-by-step explanation:     Kevin will actually be 6 years and 2 months old

Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

Answers

(√(7))^(6x)=49^(x-6) \n(7^(1)/(2))^(6x)=(7^2)^(x-6) \n7^{(1)/(2) * 6x}=7^(2(x-6)) \n7^(3x)=7^(2x-12) \n3x=2x-12 \n3x-2x=-12 \nx=-12

The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,

⇒ x = 8

We have to given that,

An expression to simplify,

⇒ (√7)ˣ = 49ˣ⁻⁶

Now, We can simplify the expression for x as,

⇒ (√7)ˣ = 49ˣ⁻⁶

Since, 49 = 7² = (√7)⁴

Hence,

⇒ (√7)ˣ = (√7)⁴)ˣ⁻⁶

Apply the multiply rule in exponent,

⇒ (√7)ˣ = (√7)⁴ˣ⁻²⁴

By comparing,

⇒ x = 4x - 24

Solve for x,

⇒ x - 4x = - 24

⇒ - 3x = - 24

⇒ 3x = 24

⇒ x = 24 / 3

⇒ x = 8

Therefore, The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,

⇒ x = 8

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