F(x^2) = x^2 - 3
5f(x^2) = 5x^2 - 15 = 2x - 8
Placing all the terms on the left side, we get:
5x^2 - 2x - 7 = 0 which factorises to
(5x - 7)(x + 1) = 0
So, x = 7/5 or x = -1
But x is non-negative, so x = 7/5 = 1 2/5
C is the answer.
Answer:
1 pear = $0.75; 1 orange = $0.65
Step-by-step explanation:
(1) 3P + 4O = 4.85
(2) 3P + 10O = 8.75 Eqn (2) - Eqn (1)
3P + 10O – 3P – 4O = 8.75 – 4.85 Combine like terms
6O = 3.90 Divide each side by 6
O = $0.65 Substitute into Eqn (1)
3P + 4×0.65 = 4.85
3P + 2.60 = 4.85 Subtract 2.60 from each side
3P = 2.25 Divide each side by 3
P = $0.75
Oranges cost $0.65 each and pears are $0.75 each
Answer:
y=3x+5
Step-by-step explanation:
Since the equation will be parallel, the slope will still be 3.
y=3x+b
Enter the point (1,8) into the equation.
8=3(1)+b
8=3+b
b=5
y=3x+5
The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer:
6.4285714286
Step-by-step explanation:
