Answer:
Option B is the true statement.
Step-by-step explanation:
The given quadratic equation is y = (-6x² + 100x - 180)
In this equation y represents the daily profit and x represents the selling price.
Now we will check every option given.
A. If the selling price per ball is $5 then profit will be
y = -6×25 + 100×5 - 180 = -150 + 500 - 180 = $170
Which never defines the number of balls sold, so option A. is not correct.
B. If the selling price is $8 then profit will be
y = -6×64 + 800 - 180 = -384 + 800 - 180 = $236
This option is correct.
C. This option is not valid because we can't use number of balls to find the profit.
D. This statement is also not correct as we can see if selling price of a ball is $5 then profit is $170 and when selling price is $12 then profit is $156.
Therefore this option is also not correct.
Option B is the answer.
Use Pythagorean theorem:
34^2+41^2=X^2
1156+1681=x^2
2837=X^2
√2837=x
x=53.26 that are the distance from A to B
Add 34+ 41= 75
Subtract to find distance saved----------- 75-53.26= ANSWER: 21. 74 meters
M = -4/3 (slope stays the same)
so y= -4/3x + b
b = y intercept
without a point on the line I can’t figure out what exact line you were looking for but that equation with any value as b will give you a line parallel to the original.
I)
fist let's find O, that is the number of all numbers between <span>10,000 and 100,000, whose all digits are odd.
so we have to count: 11,111; 11,113; ... 99,999
we notice that all these numbers are 5 digit, and they are made up of the odd digits {1, 3, 5, 7, 9} with repetition allowed.
so there are in total </span>
such numbers.
ii)
E is the total number, of 5-digit numbers formed from the set{0, 2, 4, 6, 8} with repetition allowed, and the first digit not equal to 0.
so
iii)
Answer: 625
Each class needs 60,150 popsicle sticks