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Arada [10]
3 years ago
7

Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.

Mathematics
1 answer:
ra1l [238]3 years ago
8 0

Answer:

45.9

Step-by-step explanation:

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Any help with an explanation would be appreciated!
Lilit [14]

Problem 1

We'll use the product rule to say

h(x) = f(x)*g(x)

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

Then plug in x = 2 and use the table to fill in the rest

h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)

h ' (2) = f ' (2)*g(2) + f(2)*g ' (2)

h ' (2) = 2*3 + 2*4

h ' (2) = 6 + 8

h ' (2) = 14

<h3>Answer: 14</h3>

============================================================

Problem 2

Now we'll use the quotient rule

h(x) = \frac{f(x)}{g(x)}\\\\h'(x) = \frac{f'(x)*g(x)-f(x)*g'(x)}{(g(x))^2}\\\\h'(2) = \frac{f'(2)*g(2)-f(2)*g'(2)}{(g(2))^2}\\\\h'(2) = \frac{2*3-2*4}{(3)^2}\\\\h'(2) = \frac{6-8}{9}\\\\h'(2) = -\frac{2}{9}\\\\

<h3>Answer:  -2/9</h3>

============================================================

Problem 3

Use the chain rule

h(x) = f(g(x))\\\\h'(x) = f'(g(x))*g'(x)\\\\h'(2) = f'(g(2))*g'(2)\\\\h'(2) = f'(3)*g'(2)\\\\h'(2) = 3*4\\\\h'(2) = 12\\\\

<h3>Answer:  12</h3>
5 0
2 years ago
Help me please i will give branlist<br> 30% off of 90
lapo4ka [179]

Answer:

answer is 27 hope it helps

4 0
3 years ago
A college basketball game is 40 minutes long. Derrick’s favorite player participated for 60% of last week’s game. How many minut
alexandr1967 [171]

Answer:

24 minutes

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
15 3/14+ 24 1/14+ 12 2/7+ 12 2/7+ 10 1/7 +10 1/7+ 35 3/7=​
lesantik [10]

Answer:

it is :119.5714

Step-by-step explanation:

15 3/14+24 1/14+12 2/7+12 2/7+10 1/7+10 1/7+35 3/7=

step by step now:

15 3/14+24 1/14+12 4/14+12 4/14+10 2/14+10 2/14+35 6/14=118 22/14=118+1.5714=119.5714

5 0
3 years ago
What is the number of roots for polynomial function of f(x) = (x^2 + 6)^2
Lena [83]

Answer:

x=±√6i

Step-by-step explanation:

(x^{2} +6)^{2} =0

x^{2}+6=0

x^{2} =-6

x=±√6i

5 0
3 years ago
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