Answer:
The correct option is A
Step-by-step explanation:
Since (1, 3) are the solutions to the function g(x), then
g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3
We know that f(x) is on the same plane and f(1) = 1.
Let's take g(1) = (1 – 1)(1 – 3) = 0
Therefore, when x = 1; f = 1 and g = 0. Hence
g(1) = f(1) – 1
In order words, g(x) could be f(x) – 1.
The correct option is A
Let us start with assuming the amount of coffee worth $20 a pound to be "x" pounds.
Now she wants to mix "x" pounds of $20 coffee with 70 pounds of $90 coffee.
So the mixture would be (x + 70) pounds.
And the value of mixture would be = 20·x + (90)·(70) = (20x + 6300) dollars.
She want to sell this mixture at rate of $30 a pound. Her earning would be = 30·(x + 70) = (30x + 2100) dollars.
We know that the value of mixture would be equal to her earnings.
30x + 2100 = 20x + 6300
30x - 20x = 6300 - 2100
10x = 4200
x = 420
So, 420 pounds of $20 coffee would be used.
Answer:
First add all the equations like (11y-32)+(3x-16)+(6x+7)=180
Step-by-step explanation:
You would first combine all the like terms so put all the variables on one side and the numbers on the other. After you have done that, you would just solve.
It is isosceles trapezium, so angle A=angle B,
angle C=angle D=angle BDC
triangle BCD,
180=22 +D+(D-88)
(D-88) because in trapezium C=D, angle BCD=ACD-88 or C-88, and D-88
180=2D-66
2D=180+66
2D=246
D=123
