Answer:
the zero of a function is the value of x which makes the final value zero
First Equation:
So let 25 - 2x equal to 0
<em>25 - 2x = 0</em>
x = 12.5
Second Equation:
Let 2x² - 11x - 6 equal to zero
<em>2x² - 11x - 6 = 0 </em>
<em>2x² - 12x + x - 6 = 0 </em><em>(Splitting the middle term)</em>
<em>2x(x - 6) + 1(x - 6) = 0</em>
<em>(2x + 1) (x - 6) = 0</em>
So we can transpose either one of the brackets below the zero
(2x + 1) = 0 or (x-6) = 0
x = -1/2 or x = 6
Answer: x = 7, x = -1
Step-by-step explanation: Move the term to the left side
x^2 + 2x - 7 = 8x
x^2 + 2x - 7 - 8x = 0
Combine like terms
x^2 + 2x - 7 - 8x = 0
x^2 - 6x - 7 = 0
x^2 - 6x - 7 = 0
a = 1
b = -6
c = -7
x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1
Evaulate the Exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers x = 6 ± 8/2
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = 6 + 8/2
x = 6 - 8/2
Rearrange and isolate the variable to find each solution
x = 7
x = -1
2 x (1/2)(11.25)(6) = 67.5
12.75 x 24 = 306
11.25 x 24 = 270
6 x 24 = 144
add all sums together
= 787.5 m^2
Pick 2 random ascending x values and calculate the difference delta to get the slope
so your slope is "1"
and as you can see, that x=0 at y=3, so your y-intercept is 3
thats it, your function is
