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3 years ago

If f(x) = 2x and g(x) = 5x + 2, what is (f • g)(x) when x = 3?

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

Answer:

f×g=

$= 2x \times (5x + 2) \\ = 10 {x}^{2} + 4x \\ = 10 \times {3}^{2} + 4 \times 3 \\ = 90 + 12 \\ = 102$

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Consider the sequence -2, 6, -18, 54,

hram777 [196]

Answer: The sequence is geometric

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.

Common difference = given term - the term before it

In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.

Common ratio = given term/the term before it

Looking at the given sequence,

1) d = 6 - - 2 is not equal to - 18 - 6

Therefore, it is not an arithmetic sequence

2) r = 6/- 2 = - 18/6 = - 3

Therefore, it is a geometric sequence.

6 0

3 years ago

A slide 4.3 m long makes an angle of 31 degrees with the ground how high is the top of the slide above the ground

tia_tia [17]

Given that the slide is 4.3 m long and makes an angle of 31°, then to get how high the slide is above the ground we use trigonometry formula.
sin θ=opposite/hypotenuse
opposite=x=how high the slide is above the ground
hypotenuse=length of the slide=4.3 m
θ=31°
plugging the values in the formula and solving for x we obtain
sin 31=x/4.3
x=4.3×tan 31
x=4.3(0.6009)
x=2.58387
x~2.6 m

Hence we conclude that the top of the slide is approximately 2.6 m from the ground

4 0

3 years ago

Someone plzz help meeeee thank youuu

Vikentia [17]

Answer:

The answers a ! Hope this helps

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A jar contains 3 pennies, 5 nickels, 4 dimes, and 6 quarters. of a coin is selected at random, what is the probability of select

Artemon [7]

Hey there! :)

There are 3 pennies
There is a total of 18 coins; 3 + 5 + 4 + 6 = 18

3 ÷ 18 = 0.16666666667 = 0.17

Your answer is 1/6 or 0.17

Hope this helps :)

3 0

4 years ago

Can you help me answer this question

r-ruslan [8.4K]

Division of a fraction is the equivalent of multiplying by its reciprocal
ex.
$\frac{\frac{A}{B} }{\frac{C}{D}}=\frac{A}{B} *\frac{D}{C}$
i suggest you try to remember this concept

in terms of your question

$\frac{\frac{4c-12}{4c+8}}{\frac{c-3}{c^2-4}}= \frac{4c-12}{4c+8} *\frac{c^2 -4}{c-3}$

from this point, just multiple the numerators together and denominators together, then simplify if necessary

fyi- difference of squares
$x^2-b^2 = (x-b)(x+b)$
relating that to
$c^2-4 = c^2 -2^2 = (c-2)(c+2)$

also a side note, you might want to factor out the 4 first in the top fraction

4 0

4 years ago