Answer:
A
Step-by-step explanation:
how long is the ball in the air ?
that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?
so, that means we need to find the zero solution of h(t).
at what t is h(t) = 0 ?
when at least one of the factors is 0 :
2(-2 - 4t)(2t - 5)
we have 3 factors
2 : can never be 0.
(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).
(2t - 5) : is 0 when 2t = 5 or t = 2.5
so, A is the right answer.
FYI : the starting height (on the hill) is given by t = 0 :
2(-2 - 0)(0 - 5) = 2×-2×-5 = 20 ft
Let x be the length of each row.
Denver can plant 3 rows of a certain length with 2 seedlings leftover.
Total number of seeds he has = 3x+2 Denver can plant 4 rows of the same length with 3 seedling spots left empty.
Total number of seeds he has = 4x-3 Using (i) and (ii), we get= 3x+2=4x-3
Isolate variable terms: 2+3=4x-3
Answer= 5=X
We have,
(2y)^3 × y^-1
Simplify the term (2y)^3
= 8y^3 × y^-1
Now, multiply the terms with the same base y by adding their exponents.
Note: Using exponent product rule x^y × x^z = x^(y+z)
= 8y^{3+(-1)}
= 8y^(3-1)
= 8y^(3-1)
= 8y^2
Answer:
60 CDs
Step-by-step explanation:
Given that :
Price of program = $0.5
Price of music = $5
Cost of production :
Program = $0.15 per program
CD = $1.75 per CD
Revenue made= $400
Profit made = $265
Number of CD produced =?
Let Number of CD's = x and program = y
$(0.5y + 5x) = 400
Y = (400 - 5x) / 0.5
y = 800 - 10x
Production :
$(1.75x + 0.15y)
Total cost of production - Revenue made = profit
(1.75x + 0.15y) - (5x + 0.5y) = 265
1.75x + 0.15y - 5x - 0.5y = 265
1.75x - 5x 0.15y - 0.15y = 265
3.25x + 0.35y = 265 - - - (2)
Put y = 800 - 10x in (2)
3.25x + 0.35y = 265
3.25x + 0.35(800 - 10x) = 265
3.25x + 280 - 3.5x = 265
-0.25x = - 15
x = 15/ 0.25
x = 60
