Answer: С. 3x +2
Step-by-step explanation:
We have the following trinomial, which is also known as perfect square trinomial, because the first and the third term are squares:
(1)
First term:
Third term:
If we factorize this expression we have:
As we can see, the trinomial (1) has two factors:
and
Therefore, the correct option is C.
Answer:
0
Step-by-step explanation:
y=3 would be nothing more than a horizontal line through y=3
Answer:
£36
Step-by-step explanation:
From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off
Then the cost of each ticket with 1/5 off= (4/5×40)= £32
From the question, A train ticket for the day will cost £20 each.
Then total cost for each of it = £32+£20
=£52
To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.
Let us denote the number of students as "x"
52(x+3)= < 3000
52x + 156 =< 3000
52x =< 3000 - 156
52x =< 2844
X =< 2844/52
s =< 54.69,
The max. Number of students is 54
Total number of people= Number of students + the 3 teachers
= 54+3= 57
Total cost for 57 people= (£52 × 57 people)= £2964
The amount of money the school will have as left over = (£3000 - £2964)
= £36
Answer:
Now we can calculate the p value with the following probability taking in count the alternative hypothesis:
For this case since the p value is large enough we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that we have significant differences between the two proportions analyzed.
Step-by-step explanation:
Information provided
represent the number of New Yorkers familiar with the brand
represent the number of Californians familiar with the brand
sample of New Yorkers
sample of Californians
represent the proportion New Yorkers familiar with the brand
represent the proportion of Californians familiar with the brand
represent the pooled estimate of p
z would represent the statistic
represent the value
System of hypothesis
We want to verify if the two proportions of interest for this case are equal, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Where
Repalcing the info given we got:
Now we can calculate the p value with the following probability taking in count the alternative hypothesis:
For this case since the p value is large enough we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that we have significant differences between the two proportions analyzed.
Answer:
For 4 seconds the projectile will be in the air.
Step-by-step explanation:
The function f(x) = –10(x)(x – 4) represents the approximate height of a projectile launched from the ground into the air as a function of time in seconds, x.
Now, if the projectile stays for x seconds in the air then after x seconds its height will be zero.
Hence, 0 = - 10x(x - 4)
⇒ x = 0 or x = 4
Now, x cannot be 0 as at time = 0 the projectile starts its motion.
So, for 4 seconds the projectile will be in the air. (Answer)