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
viva [34]
2 years ago
15

The graph of the function f(x) = ax2 + bx +C

Mathematics
1 answer:
morpeh [17]2 years ago
7 0

Answer:

The axis of symmetry is  -b/2a

The x-intercept shown is 3 units away from the axis of symmetry.

The other x-intercept also must be 3 units away from the axis of symmetry but on the opposite side.

Subtract 3 from the axis of symmetry.

The other x-intercept is  (-b/2a-3,0)

Step-by-step explanation:

You might be interested in
two angles are a linear pair. the measure of the first angle minus 39 is equal to twice the measure of the second angle. What ar
baherus [9]

Step-by-step explanation:

Linear pairs = 180°!!!!!

  1. 1st angle is 2[x]-39 2nd angle is just x
  2. soooo add the x. 3x-39=180
  3. 3x=141 x=47

X is just the second angle!!!!!

lol. i toonk geo last year and i cant believe i still remember all this hopefully i got it right!

8 0
3 years ago
Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the cr
sattari [20]
\bf \textit{the area of either pen is 2744, thus}\\\\
A=xy\implies 2744=xy\implies \cfrac{2744}{x}=y

\bf \begin{array}{llll}
\textit{perimeter of the garden pen}\\\\
P=2(x+y)\\\\
P=2\left( x+ \cfrac{2744}{x}\right)\\\\
P=2x+\cfrac{5488}{x}\\
----------\\

\textit{cost of it}\\\\
C=15\left( 2x+\cfrac{5488}{x} \right)\\\\
C=30x+\cfrac{82320}{x}
\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
\\\\\\
C(x)=40x+\cfrac{109760}{x}

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

8 0
3 years ago
Hi everyone how is your day going so far?
julia-pushkina [17]

Answer:

Good! How is yours?

7 0
3 years ago
Read 2 more answers
Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin
icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}

y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}

y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}

It is linear differential equation because  this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

y'+P(x)y=g(x)

P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}

\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}

Homogeneous equation

\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}

Degree of f and g are same.

f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0
3 years ago
150 people are in a movie theater to see Wonder Woman. If 7 out of 30 of them are boys how many boys are there?
I am Lyosha [343]

Answer:

35 boys

Step-by-step explanation:

hope it helps

5 0
2 years ago
Other questions:
  • A rectangle is ( x + 6 ) meters long and ( 2 x − 1 ) meters wide. Which expression represents the PERIMETER of the rectangle?
    6·2 answers
  • Solve this system of equations.<br> 3x + 4y = 36<br> y = 1/2x+8
    11·1 answer
  • How do you find the volume of a cylinder
    14·1 answer
  • 2) Divide 120cm in the ratio 1:2:3​
    9·1 answer
  • The problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.
    6·1 answer
  • 3. Your school has been running a nickel drive to raise money for a sister school
    5·1 answer
  • Help!NOW please!! I’ll do anything!
    13·2 answers
  • Joseph’s lunch at the diner costs $15 without tax. He left the waiter a 21% tip. What was his total cost of the lunch, including
    7·1 answer
  • Is this sequence arithmetic? -2.4,9.8,22,34.2...
    9·1 answer
  • Continue preparing to analyze the data (step 3): Choose an appropriate numerical summary.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!