Answer:
B.
Step-by-step explanation:
If f(-x)=f(x), then f is even.
If f(-x)=-f(x), then f is odd.
To determine if f(x)=3x^4+5x^2+1 is even or odd plug in -x like so:
f(x)=3x^4+5x^2+1
f(-x)=3(-x)^4+5(-x)^2+1
f(-x)=3x^4+5x^2+1
f(-x)=f(x)
So f is even.
You should keep in mind the following:
(-x)^odd=-(x^odd)
(-x)^even=x^even
Examples:
(-x)^81=-(x^81) since 81 is odd
(-x)^10=x^10 since 10 is even
Anyways, the student is right and f(-x)=f(x).
One of the numbers does not have to be 48, instead the numbers are supposed to be the quotient of 48 for example 3,4,5,6,7,8=33/6 = 5.5
Step-by-step explanation:
you mixed an 8% and a 12% solution together.
so, you get (8%×mass1 + 12%×mass2)/((mass1 + mass2)/2) as resulting % of the combined solution.
since the result is 10%, which is precisely the arithmetic middle
(8 + 12)/2
we see that mass1 = mass2.
in other words : the same quantity (mass) of the 8% solution and the 12% solution was mixed together.
so, 760g = 2×mass
=>
mass = 380g
380g of the 8% solution and 380g of the 12% solution were mixed together.
Answer:
she is expected to hit 18 out of the 30 pitches
Step-by-step explanation:
In this question, we are required to use experimental probability to make a prediction.
From the hits she has today, we can estimate the number of hits she might be getting tomorrow.
Since she made 12 hits out of 20 today, the probability that she has a hit will be 12/20 = 3/5
Now if she is having 30 pitches tomorrow, the expected number of hits would be the probability of getting a hit multiplied by the total number of pitches.
That would be 3/5 * 30 = 18 pitches
Answer:(3,2)
Step-by-step explanation:
