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.
<h3><u>Given Information :</u></h3>
- Length of parallel sides = 60 ft and 40 ft
- Height of the trapezoid = 30 ft
<h3><u>To calculate :</u></h3>
<h3><u>Calculation :</u></h3>
As we know that,
- a and b are length of parallel sides.
- h denotes height.
<em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>valu</em><em>es</em><em>,</em><em> </em><em>we</em><em> </em><em>get</em><em> </em>:
Area = 
× ( 60 + 40 ) × 30 ft
Area = × 100 × 30 ft
Area = 1 × 100 × 15 ft
Area = 100 × 15 ft
<u>Area = 1500 ft</u>
Therefore,
- Area of the trapezoid is <u>1500 ft</u>
Answer:
see below
Step-by-step explanation:
Eric will drive between 70 -4 = 66 mph and 70+4 = 74 mph. He will <em>not</em> drive less than 66 or more than 74 mph.
Answer:
3 bob's burger= 23.67
2 starry night= 17.98
4 clear= 42
Step-by-step explanation:
3 x 7.89= 23.67
2 x 8.99= 17.98
4 x 10.50= 42
Answer: x= 182 - 12x
Step-by-step explanation:
