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lorasvet [3.4K]
3 years ago
14

given the following functions f(x) and g(x), solve (f g)(3) and select the correct answer below: f(x) = 6x 3 g(x) = x − 7 4 17 2

5 31
Mathematics
1 answer:
NeTakaya3 years ago
3 0
Hello,
+++++++++++++++++++++++++++++++++++++++++
Thanks for the incorrect formula!
+++++++++++++++++++++++++++++++++++++++++
I have tested (fog)(x) ,(f*g)(x) and finally (f+g)(x)

f(x)=6x++++++++++++++++++++++++3
g(x)=x-7
(f+g)(x)=6x+3+x-7=7x-4
(f+g)(3)=7*3-4=17

Answer B
++++++++++++++++++++++++++++++++++++

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I need help... Can someone help.<br> If x equals 7, what does y equal?<br> x = 7 y = ?<br> 6x = 7y
klemol [59]
Y=6. you would replace x with 7 in the equation.
6(7) = 7y
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8 0
3 years ago
Line e passes through points (7, 8) and (4, 10) Line f is parallel to line e. What is the slope of line f?
Tatiana [17]
<h3>Answer:  -2/3</h3>

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

Explanation:

Use the slope formula to find the slope of line E

m = (y2-y1)/(x2-x1)

m = (10-8)/(4-7)

m = 2/(-3)

m = -2/3

The slope of line E is -2/3

The slope of line F is also -2/3 since parallel lines have equal slopes but different y intercepts.

8 0
3 years ago
I went to the candy store last weekend and I bought a total of 10 packs of candy. I bought M&amp;Ms for $1 per pack and Twizzler
mario62 [17]
Let's see. We can clarify a few things to make the question easier.

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We need to find out how many bags of M&Ms we bought by only spending $6.

There are many combinations you can use to get to $6. However, I'm not sure what the format is. For example, you could buy 4 twizzler packs and then use the remaining money to find out how many M&Ms you bought. But this seems to be open to answers. Sorry
8 0
3 years ago
30 divided by blank equal 3
anyanavicka [17]

Answer:

10

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30÷?=3

30÷3 =10

so 30÷10=3

6 0
3 years ago
Read 2 more answers
For what values of x is log base 0.8 (x+4)&gt;log base 0.4 (x+4)<br>Thank you!
Radda [10]
We are seeking the solution of the inequality:

\displaystyle{ \log_{0.8}(x+4)\ \textgreater \ \log_{0.4}(x+4).


We recall that a log function f(x)=\log_b(x) is either increasing or decreasing:

i) it is increasing if b>1, 

ii) it is decreasing if 0<b<1.

Consider the functions \displaystyle{ \log_{0.8}(x) and \displaystyle{ \log_{0.4}(x).

The graphs of these functions both meet at x=1 (clearly), and after 1 they are both negative. So from 0 to 1 one of them is larger for all x, and from 1 to infinity the other is larger. (Being strictly decreasing, their graphs can only intersect once.)


We can check for a certain convenient point, for example x=0.8:

\displaystyle{ \log_{0.8}(0.8)=1 and

\displaystyle{ \log_{0.4}(0.8)=\log_{0.4}(0.4\cdot 2)=\log_{0.4}(0.4)+\log_{0.4}(\cdot 2)=1+\log_{0.4}(2).

Now, \displaystyle{ \log_{0.4}(2) is negative since we already explained that for x>1 both functions were negative. This means that 

\displaystyle{ \log_{0.8}(0.8)\ \textgreater \ \log_{0.4}(0.8), and since 0.8\in (0, 1), then this is the interval where \displaystyle{ \log_{0.8}(x)\ \textgreater \ \log_{0.4}(x).


So, now considering the functions \displaystyle{ \log_{0.8}(x+4) and \displaystyle{ \log_{0.4}(x+4), we see that 

x+4 must be in the interval (0,1), so we solve:

0<x+4<1, which yields -4<x<-3 after we subtract by 4.


Answer: (-4, -3). Attached is the graph generated using Desmos.

7 0
3 years ago
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