For the given functions f and g, find the following:(a) (f + g)(x)
(b) (f - g)(x)
(c) (f + g)(2)
(d) (f - g)(1)

$f(x)=3x^2+x+2; g(x)=x^2-3x-1$

Answers

Answer 1

Answer: $(f+g)(x)=4x^2-2x+1, (f-g)(x)=2x^2+4x+3$
$(f+g)(2)=16-4+1=13, (f-g)(1)=2+4+3=9$

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Use the product rule to find the derivative. 3) f(x)=(3x-3)(5x+ 1)

Answers

Answer:

30x -12

Step-by-step explanation:

the product rule is f(x)g'(x) + g(x)f'(x)

in this case f(x) = 3x-3 and g(x) = 5x+1. So we can just plug in we are going to find the derivative of each here.

f'(x) = 3 g'(x) = 5 Let me know if you don't know how I found the derivative of each.

Now we plug in.

f(x)g'(x) + g(x)f'(x)

(3x-3)5 + (5x+1)3

15x - 15 + 15x + 3

30x -12

You can further factor it but I'm gonna leave it like this.

A can of paint covers 400 square feet how many cans will needed to cover 3,000 square feet

Answers

Answer:

7 and a half cans of Paint ( 7.5 cans of paint )

Step-by-step explanation:

If one can of paint covers 400 square feet then this should be easy. Since you need 3,000 square feet covered with paint (and one paint can cover 400 sq) then just divide 3,000 by 400.

This will show you how many times 400 can go into 3,000 which is the same as saying "how many cans of paint can i used to cover 3,000 square feet?"

Hope this helped!

-Greg

Taylor cuts 1/4 sheet of construction paper for an arts and crafts project. Enter 1/4 as an equivalent fraction with the denominators shown. What are the equivalent fractions

Answers

Umm.. what is the denominator?

How are the lizard and the spider part of the same food web??

Answers

Answer: plant → grasshopper → spider → frog → lizard → fox → hawk.

This is just one food chain that shows the sider and the lizard in the same foodchain. The frog eats the spider, and the lizard eats the frog.

Step-by-step explanation:

Help asap plsplspls!! :)

Answers

Answer:

1.7

Step-by-step explanation:

1 + 7/10

= 1 + 0.7

= 1.7

1.7 is the correct answer

We know that if the probability of an event happening is 100%, then the event is a certainty. Can it be concluded that if there is a 50% chance of contracting a communicable disease through contact with an infected person, there would be a 100% chance of contracting the disease if 2 contacts were made with the infected person