Use of distributive property will be
(30 x 5) + (9 x 5)
21. the error for x - 28 = 375 is not 347 is because the student subtracted both sides by 28. 347 - 28 is 319 not 375. One must add 28 to both sides of -28 and 375. The -28 and 28 is zero. 375 + 28 = 403.
22. The next three terms are 0.93, 1.02, and 1.11. The rule in the number pattern is one must add 0.09.
Answer:
C
Step-by-step explanation:
Given
2x² - x - 6
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 6 = - 12 and sum = - 1
The factors are - 4 and + 3
Use these factors to split the x- term
2x² - 4x + 3x - 6 ( factor the first/second and third/fourth terms )
= 2x(x - 2) + 3(x - 2) ← factor out (x - 2) from each term
= (x - 2)(2x + 3) ← in factored form
Thus 2x + 3 is a factor → C
Answer:
0.32493
Step-by-step explanation:
We have been given that John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes.
We are asked to find the probability that the commute time for a randomly selected day will be between 28 and 34 minutes.
First of all, we will find z-score corresponding to 28 minutes and 34 minutes. Then, we will find area under normal curve between both z-scores.
Now, we need to find the probability between z-score of 1.43 and 0.25.
.
Using formula 
, we will get:
Therefore, the probability, that the commute time for a randomly selected day will be between 28 and 34 minutes, is 0.32493.
Assuming the equation is: 4x + 2y = 12 , we can rearrange it in slope- intercept form to:
y = -2x + 6
which has the slope = -2.
So the correct choice is b.
