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.
< o and < m are congruent because opposite angles are congruent
3t - 15 = 2t + 10
3t - 2t = 10 + 15
t = 25
3t - 15 = 3(25) - 15 = 75 - 15 = 60...< m = 60
< m and < o are consecutive angles and they are supplementary....so they add up to 180
< m + < o = 180
60 + < o = 180
< o = 180 - 60
< o = 120
3s = 120
s = 120/3
s = 40
Answer:
2y = x+6 is the answer
please mark brainiest
Step-by-step explanation:
Given:
Initial mass, m₀ = 23 g
Decay constant, k = 0.13
Exponential decay obeys the equation
where t = time, days
For half life, the mass is m = m₀/2.
Therefore
Answer: The half life is 5.33 days
9514 1404 393
Answer:
(b) √55
Step-by-step explanation:
The right triangles in this geometry are all similar, so the ratio of long side to short side is the same:
y/5 = 11/y
y² = 55 . . . . . . multiply by 5y
y = √55 . . . . . take the square root
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And x=4√5 by looking at ratios of short side to hypotenuse.
