Answer:
1).
Alyssa:
About 1 book
Brandon:
About 1 book
Alyssa:
7/12 of a book
Brandon:
4/5 of a book
Step-by-step explanation:
Alyssa:
1/4=1/2
1/3=1/2
1/2+1/2-1
1/4= 3/12
1/3=4/12
3/12+4/12=7/12
Brandon:
2/5=1/2
4/10=1/2
1/2+1/2=1
2/5=4/10
4/10+4/10=8/10=4/5
Hope this helps! Please mark as brainliest!
Answer:
m=-3
Step-by-step explanation:
m=y2-y1/x2-x1
m=16-10/5-7
m=6/-2
m=-3
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.
We then multiply everything together to simplify:
sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes
3x^2 * sin(x^3)/(cos(x^3))^2
and multiplying the constant 7 from the beginning:
7 * 3x^2 = 21x^2, so...
our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2
