Answer:
x=5 x=3
Step-by-step explanation:
x^2 – 8x + 15
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5 +-3 = -8
(x-5) (x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
You cannot simplify 30/q anymore
Here y=1/2 x=pi/3=60°
y=cosx
1/2=cos60° and cos60°=1/2
so LHS=RHS
so that point is on curve y=cosx
Answer:
2.2 kg
Step-by-step explanation:
If 3/4 of the weight is apples, the remaining 1/4 is pears. 1/4 of 8.8 is 2.2, so ...
the farmer sold 2.2 kg of pears at the farmer's market.
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
