1.
is a 2nd degree polynomial, so if it can be factorize, it can be factorized into two 1st degree polynomials:
2. consider the factorized expression. If we factorized back we would get:
3. So
comparing the coefficients, we see that
a+b=4 and ab=-5.
From ab=-5, a is either 5 (b=-1) or a is -5 (b=1). Together with the condition a+b=4, we see that the right choice is a=5 and b=-1
4. so
5. The factors are x-5 and x+1
Answer:
54 words typed in one minute.
Step-by-step explanation:
1. If you divide 297 by 5.5 you will get your answer
ANSWER: 54 words/ 1 minute
Answer:
Option 4, bottom right
Step-by-step explanation:
Looking the the y-intercept, it can only be option 2 or 4 with a y-intercept of 3. Looking at the data you can see that the slope is decreasing, therefore out of the 2 the answer is the one with the decreasing/negative slope.
Answer:
- x + y = 54
- 1.50x +1.00y = 70.50
- x = 33; y = 21
- 33 adult tickets and 21 student tickets were sold
Step-by-step explanation:
For such problems, it is convenient to write one equation for the total number of tickets sold
x + y = 54
and another equation for the total revenue collected from the sales
1.50x + 1.00y = 70.50
These equations are conveniently solved by eliminating the variable representing the lowest-price tickets (y). Here, we can simply subtract the first equation from the second:
(1.50x +1.00y) -(x + y) = (70.50) -(54)
0.50x = 16.50 . . . . simplify
x = 33 . . . . . . . . . . . multiply by 2
y = 54 -x = 21 . . . . . find the value of y
Given the definitions of the variables, (x, y) = (33, 21) means 33 adult ticket and 21 student tickets were sold.
