Answer:
36 feet
Step-by-step explanation:
Given
Required
Determine the maximum height attained
First, calculate the time to reach maximum height;
In a quadratic equation;
The maximum is:
So, we have:
Where
So:
The maximum height is at:
So, we have:
Answer: 3 3/7 hours
Step-by-step explanation:
you need to find out how much work they can do in an hour.
let x represent the total collaborative work
1/8 + 1/6 = 1/x
3/24 + 4/24 = 1/x
7x = 24
x = 24/7 or 3 3/7 hours (in decimal form this is 3.4286)
I cannot guarantee this is correct but hope it helped
Answer:
35/7 or 5
Step-by-step explanation:
so you multiply 5 and 9 which is 45- 10 which is 35 but then its 5-(-2) which when doing this a variable minus a negative makes it a positive so then its 5+2 which is 7 then you have 35/7 or 5
Answer:
all real numbers
Step-by-step explanation:
Both a(x) and b(x) are polynomials. The set of polynomials is closed on multiplication, so (b•a)(x) will also be a polynomial. <em>All</em> polynomials are defined for <em>all real numbers</em>. The domain is the set of input values (x) for which the function is defined.
The domain of (b•a)(x) is all real numbers.
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
