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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:
4.2 units
most likely answer choice B
Step-by-step explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:
Let's plug in what we know.
Evaluate the parentheses.
Evaluate the exponents.
Add.
Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!
The volume of the rectangular solid is: 11,960 units³.
<h3>How to Find the Volume of a Rectangular Solid?</h3>
The formula to find the volume of a rectangular solid is: (length)(width)(height).
Given the dimensions as:
- Length = 20 units
- Width = 23 units
- Height = 26 units
Volume = (20)(23)(26)
Volume of the rectangular solid = 11,960 units³.
Learn more about about the volume of rectangular solid on:
brainly.com/question/15116803
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Answer:
AREA:
CIRCUMFERENCE:
Step-by-step explanation:
The formula that is used to calculate the area of a circle is:
Where "r" is the radius of the circle.
The formula for calculate the circumference of a circle is:
Where "r" is the radius of the circle.
Then, you need to find the radius. This is:
Substituting the radius, you get that the area and the circumference are:
AREA:
CIRCUMFERENCE:
