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2 years ago

7

Hello, i am having a hard time solving this. If anyone can please explain how to solve it in order for me to solve future questi

ons of the same type?
f(x) = 5x3 – 2x and g(x) = 3x3

perform the following :

f(g(x))

g(f(x))

----- Thank you for your help

1 answer:

lora16 [44]2 years ago

7 0

Answer:

Step-by-step explanation:

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What is the solution set of (3x - 1)^2 = 5?<br><br><br> HEEEELLLLLLLLLLLPPPPPPPPP

babunello [35]

*I'll be keeping the solutions in exact form*

So firstly, square root both sides. This will split the equation into two:

$3x-1=\sqrt{5} \\ 3x-1=-\sqrt{5}$

Next, add 1 on each side: $3x=\sqrt{5}+1 \\ 3x=-\sqrt{5}+1$

Next, divide 3 on both sides, and your answers will be $x=\frac{\sqrt{5}+1}{3},\frac{-\sqrt{5}+1}{3}$

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3 years ago

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A new movie is released each year for 14 years to go along with a popular book series. Each movie is 2 minutes longer than the l

-Dominant- [34]

Answer:

B

Step-by-step explanation:

If you use the general equation for an arithmetic sequence,

$a_{n}=a_{1}+d(n-1)$ ,

where aₙ is the number of minutes for movie n,

a₁ is the length of the first movie in minutes, and

d is the difference between each movie, in minutes

Our sequence is this:

$a_{n}=70+2(n-1)$

If we want the length of the second movie (we already know the length of the first), we fill in n with 2:

$a_{2}=70+2(2-1)$

which gives us a length of 72. Now for the length of movie n = 3:

$a_{3}=70+2(3-1)$

which gives us a length of 74. Now for the length of movie n = 4:

$a_{4}=70+2(4-1)$

which gives us a length of 76. One more and I'm sure you'll notice the pattern:

$a_{5}=70+2(5-1)$

which gives us a length of 78. Now we will find the length of the 14th movie and add up by 2's all the way up to that number of minutes:

$a_{14}=70+2(14-1)$

which gives up a length of 96 minutes. We will add up by 2's from 70 to 96:

$70+72+74+76+78+80+82+84+86+88+90+92+94+96=1,162 min$

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4 years ago

What is 39 divide by 2

marta [7]

19.5

Step-by-step explanation:

u just divide 39 by 2 and get 19.5

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4 years ago

One week Beth bought 3 apples and 8 pears for 14.50. The next week she bought 6 apples and 4 pears and paid 14$ find the cost of

neonofarm [45]

Cost of 1 apple is $ 1.5 and cost of 1 pear is $ 1.25

<h3><u>Solution:</u></h3>

Let "a" be the cost of 1 apple

Let "p" be the cost of 1 pear

Given that,

<em><u>One week Beth bought 3 apples and 8 pears for 14.50</u></em>

So we can frame a equation as:

3 apples x cost of 1 apple + 8 pears x cost of 1 pear = 14.50

$3 \times a + 8 \times p = 14.50$

3a + 8p = 14.50 ----- eqn 1

<em><u>The next week she bought 6 apples and 4 pears and paid 14$</u></em>

So we can frame a equation as:

6 apples x cost of 1 apple + 4 pears x cost of 1 pear = 14

$6 \times a + 4 \times p = 14$

6a + 4p = 14 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "p"</u></em>

Multiply eqn 2 by 2

12a + 8p = 28 ---- eqn 3

Subtract eqn 1 from eqn 3

12a + 8p = 28

3a + 8p = 14.50

(-)----------------

9a = 13.5

<h3>a = 1.5</h3>

From eqn 1,

3a + 8p = 14.50

3(1.5) + 8p = 14.50

4.5 + 8p = 14.50

8p = 10

<h3>p = 1.25</h3>

<em><u>Thus we have:</u></em>

Cost of 1 apple is $ 1.5 and cost of 1 pear is $ 1.25

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3 years ago

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andrew-mc [135]

Answer:

<h2>23 4/5</h2>

Step-by-step explanation:

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