Answer:
whats the rest? :)
Step-by-step explanation:
Answer: f(x) = a*x^5 + b*x^3 + c*x^2 + 12.
Step-by-step explanation:
The degree is 5, so we will have a term like:
a*x^5
it crosses the vertical axis at y = 12, then we will have a constant term equal to 12.
The polynomial has 4 terms, and we already defined two, so we can invent two more, such that the exponent must be between 1 and 4
This polynomial can be something like:
f(x) = a*x^5 + b*x^3 + c*x^2 + 12.
where a, b and c are real numbers.
Has 4 terms, f(0) = 12, then it intersects the y-axis at y = 12, and the maximum exponent is 5, then the degree of f(x) is 5.
1) This equation is a polynomial to the second power, so lets use the quadratic formula.
<span>[ -B +- squareroot(B^2 - 4AC) ] / 2A -A bit hard to read without the actual format. </span>
<span>= [ -20 +- squareroot( 20^2 - (4)(-5)(60) ) ] / (2)(-5) -A corresponds to -5, B to 20, and C to 60. Plug in. </span>
<span>= [ -20 +- squareroot(400 - (-1200) ) ] / (-10) - Simplifying.... </span>
<span>= [-20 +- 40] / (-10) </span>
<span>Because there is a plus/minus we now have two equations. </span>
<span>= [-20 - 40] / (-10) and = [-20 + 40] / (-10) </span>
<span>= 6 = -2 </span>
<span>Now in case you aren't extremely familiar with the quadratic equation, by plugging in each piece and solving, we get the two x-intercepts that this parabola equation crosses and a graph. Lucky for us, this means that the two numbers we solved for is equal to the time at which this object touches the ground. </span>
<span>Common sense solves the rest. You cant have negative time so -2 is off our list. </span>
<span>****That means it will take 6 seconds for this object to hit the ground. ***** </span>
<span>2) We have f(x)=2x+12 and x is the amount of movies, and this function gives us the cost of the rental. </span>
<span>She requires 7 movies, so all we have to do is simply plug in 7 for x. </span>
<span>f(x) = 2x + 12 </span>
<span>= 2(7) + 12 </span>
<span>= 14 + 12 </span>
<span>= $26 -So the cost for 7 movies will be $26. </span>
<span>We know she already has $10 so we just subtract $26 - $10 and we get $16. </span>
<span>**** In order for her to rent 7 movies, makayla needs $16 more dollars.****</span>
Answer: Option C
Step-by-step explanation:
Given the quadratic equation , substitute :
In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:
Therefore, you get that the solutions of this equation are the following:
Then, the answer is:
This matches with the option C.
An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .
<h3>What is the
expression about?</h3>
An expression in math is known to be the putting together of numbers, variables, etc.
For the expression above,
(3a - 2b + 4c) + (3b - 2c) - (a - b - c)
Therefore:
= 3a - 2b + 4c + 3b - 2c - a + b + c
The answer will be = 2a + 2b + 3c
Learn more about expression from
brainly.com/question/723406
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