The general form of such an equation will be
where
A = amplitude (3)
B = horizontal shift to the right (-π)
C = period (4π)
D = vertical offset (0)
Your equation will be ...
Yes, it is possible. Please see the attached photo for an example.
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:
d. 30x ≥ 180
Step-by-step explanation:
if x is the number of lawns and 30 is how much he gets for each lawn, it would be 30x. And in this situation, it needs to be equal to or more than 180.
Answer:
m∠PBQ=51
Step-by-step explanation:
By vertical angles theorem, ∠PBQ ≅ ∠LBM, so m∠PBQ=m∠LBM.
And since ∠LBM & ∠LBQ are supplementary, we'll write,
m∠LBM+LBQ=180°
3x+(4x+61)=180°
Let's solve for x:
7x=119
7x/7=119/7
x=17
So...
m∠LBM=3(17)
m∠LBM=51
This means that m∠PBQ=51
Hope this helps! :)
