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.
<span>a)
Z*_Upper = (76 - 62.7)/2.5 = 5.32
Z*_Lower = (57 - 62.7)/2.5 = -2.28
The requirement is to get p(-2.28 < Z < 5.32) = p(Z<5.32) - p(Z<-2.28).
Use normal distribution table to get the answer for p and multiply with 100 to get the percentage.
The other questions are now easy for you to answer on your own. Hope it helps.
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Answer:
1) Subtracting one from the other
2) x = 0.375 and y = 0.125
Step-by-step explanation:
Equation 1 :
Equation 2:
To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,
Now for the second equation:
Now subtracting equation 2 from equation 1
now insert this value of y into any equation
lets insert it into equation 1
