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2 years ago

Given the function ƒ(x) = 5x^2 − 9x + 18, find ƒ(3). A) ƒ(3) = 31 B) ƒ(3) = 36 C) ƒ(3) = 49 D) ƒ(3) = 85

Mathematics

1 answer:

kumpel [21]2 years ago

3 0

Answer:

Step-by-step explanation:

ƒ(x) = 5x^2 − 9x + 18,

Let x=3

ƒ(3) = 5*3^2 − 9*3 + 18,

=5*9 - 27+18

45 - 27+18

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Find the distance around one-fifth of a circle with diameter of 14 inches

Step2247 [10]

To solve this problem, you will need to know the formula to find the circumference of a circle given the diameter of a circle. After calculating the circumference, you will then divide this result by 5 to obtain the final answer needed for this problem.

<h3>Find the Circumference</h3>

The circumference of a circle is found using the formula C = 2πr.

$C = 2\pi r$

We are given the diameter. The radius can be found using r = D/2.

$\displaystyle r=\frac{D}{2}$

$\displaystyle r=\frac{14}{2}$

$r=7$

Plug in the radius to the formula for a circle's circumference: C = 2πr.

$C = 2 \pi (7)$

Rearrange the equation to distribute the 7 into the 2π.

$C = 7(2\pi)$

Distribute the 7.

$C=14\pi$

<h3>Find One-Fifth of the Distance</h3>

To find one-fifth of the distance (formally termed the circumference) around the circle, divide the circumference by 5.

$\displaystyle \frac{14\pi}{5}$

If you are looking for a simplified answer in terms of π, this will suffice. If you need an exact answer that does not reference π, continue reading.

For a solution not in terms of π, first, multiply 14 by π.

$14\times\pi = 43.98229715$

Divide this value by 5.

$\displaystyle \frac{43.98229715}{5} = 8.7964594$

To make this easier to present, round to the hundredths place.

$8.7964594 \approx 8.80$

The final answer, dependent on the value you are asked to provide, is:

${\boxed{\displaystyle \frac{14\pi}{5} \ \text{inches}}$

$\boxed{\text{approximately} \ 8.8 \ \text{inches}}$

6 0

2 years ago

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

saw5 [17]

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

<h3>What is a function?</h3>

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

$\rm P = 18500\times (0.95995)^n$

The linear function describes car 2.

$\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500$

Then the value of the car 1 after 10 years will be

$\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5$

Then the value of the car 2 after 10 years will be

$\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33$

Yes, there is a significant difference.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

5 0

2 years ago

Can anyone help find the area pls ty

AlexFokin [52]

Answer:

See below ~

Step-by-step explanation:

<u>Question #8</u>

Area = 10 x 11.7
Area = <u>117 m²</u>

<u></u>

<u>Question #10</u>

Area = 11 x 11
Area = <u>121 m²</u>

8 0

1 year ago

Help asap plzzzzzzzzzz

serg [7]

Based on what I know it’s B because the others have exponents and linear functions don’t have exponents

8 0

2 years ago

1) A research team is planning to use an ice drill at the top of a glacier. The team plans to use the drill for 10 hours each da

MaRussiya [10]

Answer:

Answer is 50 trust me

Step-by-step explanation:

7 0

3 years ago