<h2>Steps:</h2>
So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:
y = x² + bx + c
Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:
Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:
Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.
Now that we know the value of b, plug it into either equation to solve for c:
<h2>Answer:</h2>
<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>
Let y = 12 e^2x
e^2x = y/12
Taking
[email protected]ln e^2x = ln (y/12)
2x = ln (y/12)
x = (1/2) ln (y / 12)
so the inverse h-1(x) = (1/2) ln ( x / 12)
Answer:
(d) f(x) = (x − 3)^2(x − 2)(x − 1)
Step-by-step explanation:
In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.
A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...
f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice
“A” is the answer i believe !
hope this helps
Answer:
Slope = 4/3x; y-intercept = -1
Step-by-step explanation:
y + 1 = 4/3x
You have to write this equation in slope-intercept form (solve for y) if you want to find the slope and y-intercept
y + 1 = 4/3x
Subtract one from both sides
y + 1 - 1 = 4/3x - 1
y = 4/3x - 1
Now that we have the equation, you can now find the slope and y-intercept
y = mx + b; m is the slope and b is the y-intercept
So for y = 4/3x - 1, the slope is 4/3x and the y-intercept is -1
