Answer:
y-incercepts:
sinh(x):0, cosh(x)=1
Limits:
positive infinity: sinh(x): infinity, cosh(x): infinity
negative infinity: sinh(x): - infinity, cosh(x): infinity
Step-by-step explanation:
We are given that


To find out the y-incerpt of a function, we just need to replace x by 0. Recall that
. Then,


For the end behavior, recall the following:


Using the properties of limits, we have that


Hello!
First you have to add the number of fish
52 + 61 + 87 = 200
Then you find the percentage of grass carps
61/200 = 0.305
Then you multiply what you just got with the estimated sample
800 * 0.305 = 244
The answer is 244
Hope this helps!
Answer:
4(2x-3)(2x+3)
Step-by-step explanation:
The first thing you would do is find the greatest common factor (the biggest number that goes into both of them.
Common factors
1,2,4
So the greatest common factor would be 4 so then you would divide both numbers by 4 and bring it to the outside like so.
4(4x2 - 9)
then you would take it out to where it would multiple to get the same number, like this.
4(2x-3)(2x+3)
Answer:
4
Step-by-step explanation:
6^(7-3) = 6^4
that is the answer
Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.