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2 years ago

Pre Calc Question for one of my classes

Mathematics

1 answer:

Tatiana [17]2 years ago

5 0

Answer:

Step-by-step explanation:

f(x) is like y in a linear equation. There is one major difference. F(x) tells you what to substitute on the right every time you see an x.

f(a) = -3a + 7

f(b) = -3b + 7

For this question a and b have values. Now work with the right side only. This is the quickest way to get the answer, but it is only marginally correct.

f(a) = -3(-8) + 7 = 24 + 7 = 31

f(b) = -3(7) + 7 = -21 + 7 = - 14

f(a) + f(b) = 31 - 14 = 17

f(a) - f(b) = 31 - (-14) = 31 + 14 = 45

You might be interested in

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of

Temka [501]

Great question! I had this question in Geometry on Edmentum.

Answer: Height of cone = 3y

Step-by-step explanation:

We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.

So, the height of the cone is equal to 3y.

Hope this helps, and have a wonderful day! :D

Please mark me brainliest! I don't have trouble getting points, but I do when it comes to brainliest.

7 0

2 years ago

Find a number in the sequence<br><br> 1) 100, 400, 610, ?, 652<br><br> 2) 342, 128, ?, 26

dsp73

Answer:

1. 460

2. 216

Step-by-step explanation:

From the series ,

100 , 400 , 610 , ? , 652

Writing the the digits in the revere order , i.e

001 , 004 , 016 , ? , 256

Now,

Now , getting the number in the form of the multiple of 4 as -

1 , 1 * 4 = 4 , 4 * 4 = 16 , ? , 64 * 4 = 4

Hence , the value for ? = 16 * 4 = 64 .

Again , reversing 64 to get the missing number of the series -

460 .

Hence ,

The value for ? is 460 .

From the series ,

342 , 128 , ? , 26

Now, multiplying the first digit with the second digit and merging it to the product of the second and third digit -

3 * 4 and 4 * 2 , 1 * 2 and 2 * 8 , ?

128 , 216 , ?

Hence ,

The value for question mark = 1 * 2 and 1 * 6 = 216

Hence ,

The value for ? is 216 .

4 0

2 years ago

Answer the questions

Flauer [41]

10) 1 gallon of water for every inch of the fish's body length.
a) 2 1/2 inches long fish needs 2 1/2 gallon of water.
b) tank: l = 7 inches ; w = 5 inches; h = 7 ; volume = 7in * 5in * 7in = 245 in³
c) no. her fish tank is not large enough for the fish.
volume of 1 gallon of water is 231 in³, water needed is 2 1/2 gallon, so 5/2 * 231 in³ = 577.50 in³ volume.

11) volume = 7in * 3.5in * 1.75 in = 42.875 in³
weight of the brick = 0.1 pound per cubic inch ⇒ 42.875 in³ * 0.1 lb = 4.2875 pounds
weight of the gold bar = 0.7 pound per cubic inch ⇒ 42.875 in³ * 0.7 lb = 30.0125 pounds

12) l = 55cm ; w = 40cm ; h = 30 cm
volume = 55cm * 40cm * 30cm = 66,000 cm³

7 0

2 years ago

Can y’all solve this one

Soloha48 [4]

(f g)(x) means f(x) * g(x), so plug the value of each function in:

(x+2)(x-4)

And solve by distributing using FOIL:

Firsts: x * x = x²

Outers: x * -4 = -4x

Inners: 2 * x = 2x

Lasts: 2 * -4 = -8

Combine them all together:

x² - 4x + 2x - 8

Combine like terms (the -4x and 2x):

x² - 2x - 8

So the second to last one is correct.

6 0

3 years ago

A zookeeper realized that an alligator in the zoo is now four times the age that it was 15 years ago. How old is the alligator n

Dennis_Churaev [7]

Answer:

the alligator is 60 years old

Step-by-step explanation:

you would have to times 15 to 4 witch is 60 so that's how old it is

6 0

2 years ago