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IceJOKER [234]
3 years ago
5

Can anyone help me I don’t understand plz

Mathematics
2 answers:
Citrus2011 [14]3 years ago
5 0

There we have an information of two functions g(t)\,  and \, h(t)

Using this two functions g(t)\,  and \, h(t), we need to find the composition of functions (h\circ g)(t).

The composition of two functions h and g is the new function , by performing g first and then performing h.

(h\circ g)(t)=h(g(t))

g(t)=3(t+1)

h(t)=2t

Composition of h and g (t) = (h\circ g)(t)

=h(g(t))

First plugin the value of g(t)=3(t+1)

h(g(t))=h(3(t+1))

=h(3t+3)

We know that h(t)=2t, we need to find h(3t+3),

That is, to replace t by 3t+3,

=2(3t+3)

Now distribute 2 into 3t+3,

=6t+6

Now plug in t=-6,

h(g(-6))=6(-6)+6

=-36+6 \\ =-30

Thus the solution is (D). h(g(-6))=-30.

yuradex [85]3 years ago
4 0
It's a composite function, which means you need to apply the function to 'g' first, and once you've worked out the result, apply it to 'h'. You work from the inside out.

Therefore, g(t) = 3(t+1), so g(-6) = 3(-6+1)
-6 + 1 is -5, and 3 times -5 is -15. So g(-6) is equal to -15.

Now we apply -15 to the h function, which is h(t) = 2t. So h(-15) = 2(-15). The answer to that is -30.

Hence, your final answer is -30.
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Math help please <br><br> Thanks <br> A lot
babunello [35]

Answer:  

2 hours:  3968  <u>[I don't understand the $ sign in the answer box]</u>

At midnight:  12137

Step-by-step explanation:

The bacteria are increasing by 15% every hour.  So for every hour we will have what we started with, plus 15% more.  

The "15% more" can be represented mathematically with (1 + 0.15) or 1.15.  Let's call this the "growth factor" and assign it the variable b.  b is (1 +  percent increase).

Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450

At the end of the second hour we're increased by 15% again:

(3450)*(1.15) = 3968.

Each additional hour add another (1.15) factor,  If we assign a to be the starting population, this can be represented by:

P = a(1.15)^t for this sample that increase 15% per hour.  t is time, in hours.  

If a represents the growth factor, and P is the total population, the general expression is

P = ab^t

Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM.  That is a 10 hour period, so t = 10

P = (3000)*(1.15)^10

P = 12137

8 0
2 years ago
PLEASE HELP ILL GIVE MEDALS AND MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!! NEEDS TO BE ALEGABRA 2 MEATHOD!!!!!!!!
mars1129 [50]
Hi there,
This is the original inequality equation:
\frac{x}{x+1} \ \textless \  \frac{x}{x-1}
So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.
\frac{x}{x+1} = \frac{x}{x-1}
Now, we multiply both sides by x + 1:
x= \frac{x^{2} +x}{x-1}
Then, we multiply both sides by x - 1:
x^{2} -x= x^{2} +x
Next, we subtract x² from both sides:
-x=x
After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
<span>x = <span>−1 </span></span>(Makes left denominator equal to 0)<span>x = 1   </span>(Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>x <<span>−1    </span></span>(Doesn't work in original inequality)<span><span><span>−1 </span>< x </span><0  </span>(Works in original inequality)<span><span>0 < x </span>< 1 </span>(Doesn't work in original inequality)<span>x > 1  </span><span>(Works in original inequality)
Therefore, the answer to your query is -1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!</span>
4 0
3 years ago
Can someone help me pls thanks
patriot [66]

If 4600 corresponds with 100, multiply 4600 by .09 and you get 414.

Also:

46 * 9 = 414

5 0
3 years ago
dayo read 4/5th of a story book which has 500 pages. how many pages of the book is not yet read by dayo?
Nutka1998 [239]
1- 4/5=1/5; 1/5 •500=500/5=100
5 0
3 years ago
Northside dormitory just purchased a new clothes dryer on sale for 480. the sale price was 80 of the original price what was the
Zepler [3.9K]
The answer is $560 before it become $480 becuz of a $80 price drop
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3 years ago
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