1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allushta [10]
3 years ago
11

Part A

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

A

F(x)=-\frac{1}{1500}(x+20)(x+5)(x-15)

B

=> F(x)=-\frac{x^3}{1500}-\frac{x^2}{150}+\frac{11x}{60}+1

Step-by-step explanation:

Function and its graphs

Part A

The graph shown in the image corresponds to a cubic function because of its classical infinite branches, three real roots and two extrema values

Part B

Knowing the value of the three roots x=-20, x=-5, and x=15 we can express the cubic function in factored form:

F(x)=C(x+20)(x+5)(x-15)

The value of C will be determined by using any particular point from the graph. Let's use (0,1)

1=C(0+20)(0+5)(0-15)

C=-\frac{1}{1500}

Replacing, we find the factored form of the function

F(x)=-\frac{1}{1500}(x+20)(x+5)(x-15)

The standard form demands to expand all the products and simplify

F(x)=-\frac{1}{1500}(x^3+10x^2-275x-1500)

=> F(x)=-\frac{x^3}{1500}-\frac{x^2}{150}+\frac{11x}{60}+1

You might be interested in
I don't know if this is right... please someone help mee
worty [1.4K]
For the first circle, let's use the pythagorean theorem

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{8^2+15^2}\implies c=\sqrt{289}\implies c=17

now, it just so happen that the hypotenuse on that triangle, is actually 17, but we used the pythagorean theorem to find it, and the pythagorean theorem only works for right-triangles.

 so if the hypotenuse is actually 17, that means that triangle there is actually a right-triangle, meaning that the radius there, and the outside line there, are both meeting at a right-angle.

when an outside line touches the radius line, and they form a right-angle, the outside line is indeed a tangent line, since the point of tangency is always a right-angle with the radius.



now, let's check for second circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{11^2+14^2}\implies c=\sqrt{317}\implies c\approx 17.8044938

well, low and behold, we didn't get our hypotenuse as 16 after all, meaning, that triangle is NOT a right-triangle, and that outside line is not touching the radius at a right-angle, therefore is NOT a tangent line.



let's check the third circle

\bf \textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{33^2+56^2}\implies c=\sqrt{4225}\implies c=\stackrel{33+32}{65}

this time, we did get our hypotenuse to 65, the triangle is a right-triangle, so the outside line is indeed a tangent line.
6 0
3 years ago
What is the solution set of 4x 2 - 36 = 0?<br><br> A.{-3}<br> B.{3}<br> C.{-3, 3}
Nimfa-mama [501]
4x^2 - 36 = 0
4x^2 = 36
x^2 = 9
x = 3 or -3
the answer is C
4 0
3 years ago
Read 2 more answers
Please help this is due today
natita [175]

Answer:

use this formula

Step-by-step explanation:

I hope this helps ......

5 0
2 years ago
Read 2 more answers
How many variable terms are in the expression 3x3y + 5x2 + y + 9?
Ratling [72]
Three variable terms appear in this expression. Although 9xy has two variables, they combine to make one term. 

___________________________________________________________

Like this answer? PM me for more awesome answers! - Boodle
7 0
3 years ago
Linear or non linear​
nevsk [136]

Answer:

Linear.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • △ABC≅△LMN, AB=−3y+10, and LM=2y+15. Find y and AB.
    11·1 answer
  • At a bake sale, the golf team sold all 50 cupcakes for $1.50 each. They sold almost all of the 100 cookies for $1.00 each. The t
    11·1 answer
  • tim ate four more cookies than Alice. Bob ate as many cookies as tim.If x represents the number of cookies Alice ate,which expre
    15·2 answers
  • Which of the following is a correct solution to the inequality 3x - 12 &gt; 15?
    8·1 answer
  • I am in middle school
    6·1 answer
  • What’s the slope-intercept for this equation???
    11·2 answers
  • If the perimeter of a square is 88 cm, find the length of its diagonal. Give in simplest
    12·1 answer
  • What percent of 21 is 105? ​
    10·2 answers
  • Y varies directly with x. If y = 75 when x =25, find x when y = 25.
    15·2 answers
  • Which answer correctly shows how to find the mean of the {3,6,9,12,15} data set?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!