If I understand this, you have the equation 6(2x+7)-5. This is equal to 12x+37. Hope this helps.
A = s^2
A' = 2s*s'
When the area is 36 cm^2, the side (s) is 6 cm. The area is increasing at the rate
A' = 2(6 cm)*(6 cm/s) = 72 cm^2/s
Answer:
4m3+18m2−34m+12
Step-by-step explanation:
=(4m+−2)(m2+5m+−6)
=(4m)(m2)+(4m)(5m)+(4m)(−6)+(−2)(m2)+(−2)(5m)+(−2)(−6)
=4m3+20m2−24m−2m2−10m+12
Answer: a. , c. , d., e.
Step-by-step explanation:
A variable that counts how many times a certain event occurs in a particular number of trials is known as binomial random variable.
For each trial, there exist only two outcomes .
The probability of for each event is the same on each trial.
a. Event has two outcomes with same probability as 0.50, therefore the random variable represents the total number of flips required to get tails is a binomial random variable.
b. Total guidelines are 5.
Here total outcomes are not 2 , it does not meet with the conditions of binomial.
c. The random variable represents the total number of children from this pair of parents with blue eyes has two outcomes (where has or not.)
also, the probability of having blue eyes is same in each trial, so it represents binomial random variable.
d. The random variable represents the total number out of 567 customers with a checking account has two outcomes (checking or savings).
So, it represents binomial random variable.
e. The random variable represents the total number of ace cards observed has two outcomes ( ace or not ace).
So it represents the binomial random variable.
Example 1 – Solve: 3x3 = 12x
Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.
 3x^3-12=0
Step 2: Use a factoring strategies to factor the problem.
 3x(x^2-4)=0
3x(x+2)(x-2)=0
Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.
 3x=0 or x+2=0 or x-2=0
Step 4: Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side.
 x=0 or x=-2 or x=
I hope this helped you!
