Answer: 78125 ways
Step-by-step explanation:
Given : The number of possible grades = 5
The number of students in the class = 7
Then, the number of ways to assign grades to a class of seven students :_
Hence, there are 78125 ways to assign grades to a class of seven students .
Answer:
1.25$/per quart of oil. 14.05 starting fee.
Step-by-step explanation:
Give a variable that one quart of oil is o.
5o + starting fee +2.5 = 7o + starting fee
2o = 2.5
o = 1.25
substitute and we know starting fee is 14.05
Answer:
im about to solvee
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x2−2x−5=0
Let us factorize using the split the middle term method.
On inspection we observe that middle term can be split in two parts whose product is equal to the product of first and third term.
Two terms are −5xand3x
The equation becomes
3x2+3x−5x−5=0, pairing the two and taking out common factors
⇒(3x2+3x)−(5x+5)=0,
don't forget to change the sign of −5 once placed inside the parenthesis.
⇒3x(x+1)−5(x+1)=0
⇒(x+1)(3x−5)=0
Either (x+1)=0 or (3x−5)=0
We obtain x=−1,53
or x=−1,123
Step-by-step explanation:
f'(x) = d/dx [f(x)]
= d/dx (sinx + e^x) = cosx + e^x.
Therefore f'(0) = cos(0) + e^(0) = 2.
