Answer:
1/8
Step-by-step explanation:
1/6 × 3/4
Multiply across top, then bottom
1×3=3
6×4=24
Then reduce if necessary.
3/24
Divide top and bottom by 3
3÷3=1
24÷3=8
You should get 1/8
Answer:
input x = - 7
Step-by-step explanation:
A is modelled as y = 5x - 4
B is modelled as y = 3x + 8
We require output of A three times the output of B , then
5x - 4 = 3(3x + 8) ← distribute
5x - 4 = 9x + 24 ( subtract 9x from both sides )
- 4x - 4 = 24 ( add 4 to both sides )
- 4x = 28 ( divide both sides by - 4 )
x = - 7 ← input
Answer:
Lane Viking's Score is 17
Black Eagles's Score is 21
Step-by-step explanation:
Let Lane Viking's Score be x and Black Eagles's Score be y.
Black Eagles's Score = 4+ Lane Viking's Score
so y = 4 + x (Equation 1)
Total Score = 38
Black Eagles's Score + Lane Viking's Score = 38
so y + x =38 (Equation 2)
Putting y's value from Equation 1 in Equation 2
4 + x + x = 38
2x = 38-4
x=34/2
x=17
Putting value of x in Equation 1
y = 4 + 17
y = 21
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
Answer: y = negative 10 over 13x + 13
Step-by-step explanation: might not be right but im 70% sure it can be but make sure to check
