Answer:
Equation: -5 + 12
Overall change: 7 yards
Step-by-step explanation:
In the problem, it says "lost 5 yards". "Lost" is another way of saying subtraction or negative. Therefore, our starting number is -5.
The problem also says "gained 12 yards". "Gained" is another was of saying addition or positive. Therefore, our second number is positive 12.
Together, these two numbers look like this: -5 + 12. To add them, go 12 to the right of -5 if on a number line. That would be like this: -5, -4, -3, -2, -1, 0, etc until you get to 7 which should be 12 more than -5.
Therefore, the answer is 7 yards.
Answer:
P1(0 , -1)
Step-by-step explanation:
Let (x1 , y1) be the coordinates of P1 the image of P(x , y)
Answer:28.25
Step-by-step explanation:
Equation is: y = - 2x^2 + 113x - 497
In order to find out maximum of X, first step is to take derrivative of the function y = - 2x^2 + 113x -497.
When we do that, derrivative function is:
dy/dx = - 2 * 2 x + 113 * 1 = - 4x +113
At the maximum point derrvative function equals to zero.
So, - 4x + 113 = 0
-4x = -113
x = 28.25
So, the selling price should be 28.25
Answer:
Step-by-step explanation:
<h3>#6</h3>
<u>Given equation:</u>
- 4/(x - 3) + 2/(x - 2) = 2
<u>Multiply all terms by (x - 3)(x - 2):</u>
- 4(x - 2) + 2(x - 3) = 2(x - 3)(x - 2)
- 2(x - 2) + (x - 3) = (x - 3)(x - 2)
- 2x - 4 + x - 3 = x² - 5x + 6
- x² - 5x - 3x + 6 + 7 = 0
- x² - 8x + 13 = 0
- x = (8 ± √(8² - 4*13))/2 = (8 ± √12)/2 = (8 ± 2√3)/2 = 4 ± √3
<u>Compare this to the given form to get:</u>
Correct choice is A
Answer:
Step-by-step explanation:
The general form of a quadratic equation is often written as ...
ax² +bx +c = 0
The references to "a", "b", and "c" are to the coefficients in this form. Comparing this to your equation ...
x²-3x -2 = 0
we see that the coefficient of x², is 1, so a=1; the coefficient of x is -3, so b=-3, and the constant is -2, so c=-2.
