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2 years ago

If h(x)=3x-5 and g(x) =2x^2-7x, find (g•h)(x)

Mathematics

2 answers:

Anastasy [175]2 years ago

8 0

Answer:

Correct answer: (g · h) (x) = 18 x² - 81 x + 85

Step-by-step explanation:

Given:

h(x) = 3 x - 5

g(x) = 2 · x² - 7 x

This is a composition of functions:

(g · h)(x) = g(h(x)) = g(3 x - 5) = 2 · (3 x - 5)² - 7 (3 x - 5) = 2 · (9 x² - 30 x + 25)

(g · h)(x) = 2 · (9 x² - 30 x + 25) - 21 x + 35 = 18 x² - 60 x + 50 - 21 x + 35

(g · h)(x) = 18 x² - 81 x + 85

God is with you!!!

Murrr4er [49]2 years ago

4 0

Answer:

The answer is 25.67and then you multiply by8 and get you 205.36

Step-by-step explanation:

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3. 24% of weight of an explosive mixture is saltpetre. Find the weight of a sample in which the other ingredients

Art [367]

Answer:

76% of X= 9.12. X= 12 gram. Therefore weight of the sample is 12 gram.

Step-by-step explanation:

i hope it's help you

5 0

2 years ago

Four people at pia’s pottery shop each make 29 mugs and 18 pottery bowls three people at Jason’s craft shop each make the same n

BartSMP [9]

The seven people made 383 objects in all

Step-by-step explanation:

The given is:

Four people at pia’s pottery shop each make 29 mugs and 18 pottery bowls
Three people at Jason’s craft shop each make the same number of mugs and twice as many pottery bowls

We need to find how many objects the seven people made in all

∵ Four people at pia’s pottery shop each make 29 mugs

∵ Three people at Jason’s craft shop each make the same

number of mugs

∴ Seven people in the two shops made 29 mugs each

∴ The total number of mugs = 7 × 29

∴ The total number of mugs = 203

∵ Four people at pia’s pottery shop each make 18 pottery bowls

∵ Three people at Jason’s craft shop each make twice as

many pottery bowls

- Multiply the number of bowls by 2

∴ Three people at Jason’s craft shop each make 2 × 18 = 36

pottery bowls

∴ The total number of pottery bowls = (4 × 18) + (3 × 36)

∴ The total number of pottery bowls = 72 + 108

∴ The total number of pottery bowls = 180

Now add the total number of mugs and the total number of pottery bowls to find the total number of objects the seven people made

∵ The total number of mugs is 203

∵ The total number of pottery bowls is 180

∴ The total number of objects = 203 + 180

∴ The total number of objects = 383

The seven people made 383 objects in all

Learn more;

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

8 0

2 years ago

A fish tank, filled with water, is 100cm long,60cm wide and 40cm high. It is tilted resting on a 60cm edge, with the water level

grin007 [14]

20 cm deep since 50 x 60 x 40 = 10 x 60 x 20

7 0

2 years ago

Un kg de banane costa cat doua kilograme de portocale . Un restaurant a cumparat 30 de kg de portocale si 45 de kg de banane , p

Nimfa-mama [501]

Answer:

<h2>One kilogram of oranges cost $3.</h2>

Step-by-step explanation:

The problem states

1 kilogram of bananas costs as much as 2 kilograms of oranges. ( $1 \ kg \ bananas = 2 \ kg \ oranges$ )
30 kilograms of oranges plues 45 kilograms of bananas cost $360.

Let's call $x$ one kilogram bananas and $y$ one kilogram oranges. The cost is related by

$x=2y$

Also, we know by given

$45x+30y=360$

Replacing the first equation into the second one, we have

$45(2y)+30y=360\\90y+30y=360\\120y=360\\y=\frac{360}{120}\\ y=3$

Then, we find the other value

$x=2(3)=6$

Therefore, one kilogram of oranges cost $3.

5 0

2 years ago

Christmas Tree lights are used not only for Christmas trees, but sometimes to decorate college dorm rooms. Suppose that a string

puteri [66]

Answer: Hello!

Ok, because the bulbs are wired in series, then if only one fails, all the string fails.

Then we need to see the probability for the 20 bulbs to not fail.

If the probability for each bulb to fail is 0.02, then the complement (or the probability of working fine) is 1 - 0.02 = 0.98

then we have 20 bulbs, and each one has a probability of 0.98 of working alright, then the probability for all them to work alright is the multiplication of this probabilities, this is

$0.98^{20}$ = 0.6676

rounded up in the decimal, we have 0.668

then the correct answer is c.

6 0

2 years ago