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Rasek [7]
3 years ago
6

Which statement is true about f(x) = –6|x + 5| – 2?

Mathematics
2 answers:
snow_lady [41]3 years ago
4 0

Answer:

Step-by-step explanation:

"The graph of f(x) is a horizontal compression of the graph of the parent function" is true; the graph will appear to be narrower than that of y = |x|.  I would prefer to state "the graph of f(x) exhibits vertical stretching of the original (parent) function graph."

Rzqust [24]3 years ago
3 0

Answer:

The graph of f(x) is a horizontal compression of the graph of the parent function.

Step-by-step explanation:

edg 2021

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Mary eats 5 bananas ann an additional 2 bananas when she works our for 2 hours. Represent the number of bananas that she eats wh
Mila [183]

5+2+5+2=14 that is the answer


7 0
3 years ago
Find a particular solution to the nonhomogeneous differential equation y'' + 4 y = cos(2x) + sin(2x).
alukav5142 [94]
The characteristic solution follows from solving the characteristic equation,

r^2+4=0\implies r=\pm2i

so that

y_c=C_1\cos2x+C_2\sin2x

A guess for the particular solution may be a\cos2x+b\sin2x, but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to

y_p=ax\cos2x+bx\sin2x

which has second derivative

{y_p}''=(-4ax+4b)\cos2x+(-4bx-4a)\sin2x

Substituting into the ODE, you have

y''+4y=\cos2x+\sin2x
\implies4b\cos2x-4a\sin2x=\cos2x+\sin2x
\implies\begin{cases}4b=1\\-4a=1\end{cases}\implies a=-\dfrac14,b=\dfrac14

Therefore the particular solution is

y_p=-\dfrac14x\cos2x+\dfrac14x\sin2x

Note that you could have made a more precise guess of

y_p=(a_1x+a_0)\cos2x+(b_1x+b_0)\sin2x

but, of course, any solution of the form a_0\cos2x+b_0\sin2x is already accounted for within y_c.
6 0
3 years ago
Find the value of c so that (x+2) is a factor of the polynomial<br><br> p(x)=3x^4-x^2+cx-2
DedPeter [7]
Using polynomial long division, we get
         
         3x^3+6x^2+11x
         _____________
(x+2) | 3x^4-x^2+cx-2
          -(3x^4+6x^3)
          ____________
             6x^3-x^2+cx-2
          - (6x^3+12x^2)
         _____________
        11x^2+cx-2
      -(11x^2+22x) 
       __________
        (22+c)x-2. 

If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.

For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23
4 0
3 years ago
Which of the following makes the equation true?
Lorico [155]

Answer:

the answer is A

Step-by-step explanation:

cross multiply 16×4 =64

3 0
2 years ago
kim needed 9 inches of trim for every kitchen towel she was making. she made 25 towels. how many feet of trim did kim use?
NNADVOKAT [17]
25 x 9= 225
225 is your answer
6 0
3 years ago
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