Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.
Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
Answer:
will be 50% eazy ez hhhhh
Step-by-step explanation:
The answer is 2.45 x 10^5.
7 x 3.5 = 24.5
Move the decimal place over to the left until you have a number between 1 and 9 before the decimal point.
Add the number of times you moved the decimal point to the exponent (The 4 in the original equation).
2.45 x 10^5.
I hope this helps!
Answer:
2(2y - 1) - y = 7
Step-by-step explanation:
I guess the 2 equations are
2x - y = 7
x = 2y - 1
substitution message that you use one equation to express one variable by the other, and then you use that in the other equation to get one equation for one variable. then you solve for that, and use that result in the first equation to since for the second variable.
the equations are already defined that way, that the second equation directly defines x as an excision of y.
so, this needs to be used then in the first equation.
and that makes
2(2y - 1) - y = 7
the correct first step.
