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Zielflug [23.3K]
2 years ago
9

Given f(x) and g(x) = k•f(x) use the graph to determine the value of k. A. -2 B. -1/2 C. 1/2 D. 2

Mathematics
1 answer:
notsponge [240]2 years ago
8 0

Answer:

<em>A. k=-2</em>

Step-by-step explanation:

<u>Interpretation Of Graphs </u>

Very useful information can be obtained from simple inspection to the graph of functions. Though the are meant only to provide general information, specific details can help us to model reality

We are given the condition that g(x)=k.f(x). It means that every value of g(a) is the result of the value of f(a) by a constant. We can see the following points in the graph: g(-5)=2, f(-5)=-1. g(-3)=-2, f(-3)=1. If we divide g/f for each point we get

g(-5)/f(-5)=-2

g(-3)/f(-3)=-2

It means that g(x)=-2f(x), the constant is k=-2

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For the following integral, give a power or simple exponential function that if integrated on a similar infinite domain will hav
zhannawk [14.2K]

Answer:

hello your question is incomplete attached below is the complete question

answer :

for  I1 =     \frac{1}{x^2} + \frac{4}{x^3}    The integral converges

for  I2 =    \frac{2x + 6}{2(x^2 + 6x + 4 )}  The integral diverges

for  I3 =  \frac{1}{x^2}  The integral converges

for  I4 = 1  The integral diverges

Step-by-step explanation:

The similar integrands and the prediction ( conclusion )

for  I1 =     \frac{1}{x^2} + \frac{4}{x^3}    The integral converges

for  I2 =    \frac{2x + 6}{2(x^2 + 6x + 4 )}  The integral diverges

for  I3 =  \frac{1}{x^2}  The integral converges

for  I4 = 1  The integral diverges

attached below is a detailed solution

5 0
2 years ago
You want to buy a $35,000 car. The company is offering a 3% interest rate for 36 months (3 years). What will your monthly paymen
VikaD [51]

\bigstar\boxed{\large\bf\purple{\leadsto \$3150}}

__________________________________________

\large\sf{\underline{Given:}}

  • ➠ Principal = $ 35000
  • ➠ Rate of interest = 3%
  • ➠ Time = 3 yrs (36 months)

\large\sf{\underline{Therefore:}}

‎‎‎ ‎ ‎‎‎ ‎ ‎\sf{Simple\: interest = \left(\dfrac{P\times R\times T}{100}\right)}

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\sf{\longrightarrow \left(\dfrac{35000\times 3\times 3}{100}\right)}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\sf{\longrightarrow \cancel{\dfrac{315000}{100}}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\sf{\longrightarrow 3150}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

\large\sf{\underline{Your\: monthly\: payments\:will\:be\:\$3150}} ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

6 0
3 years ago
Please help me ASAP!!!
OLga [1]

Answer: The answer would be B

Step-by-step explanation:

The reason for this is because the triangles are similar they are also congruent. df=bc, fe=ac, ed=ab.

Because de=ba and ba=4 in. that would mean that de would also be 4in.

3 0
3 years ago
please help, this is due in a few minutes and i’ll be giving points and brainlest, thank you so much !!
miss Akunina [59]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
Points y,B, and Q are shown on the coordinate plain. If Y,B and Q are the vertices of a triangle what is the perimeter to the ne
Nataly [62]

Answer: sqrt(61)

Step-by-step explanation:

For parts a) and c1), refer to the attached picture.

For part b), the distance formula is:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Using x1 = -1, y1 = -4, x2 = -6, y2 = 2:

d = sqrt[(-6 + 1)^2 + (2 + 4)^2] = sqrt[25 + 36] = sqrt(61)

Part c2) Another way to find the length of AB without using the distance formula is by drawing the line and measuring it according to the scale.

Part d) This will only work as long as the graph paper is accurately made, and the scale computation is done correctly. However, this will only give approximations, and will not give an exact answer when radicals are involved.

8 0
3 years ago
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