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galben [10]
2 years ago
8

Consider the graph of f(x) given below.

Mathematics
1 answer:
tiny-mole [99]2 years ago
5 0

The functions could represent g(x) is B. g(x) = f(x - 5)

<h3>How can the function be determined?</h3>

Using the general equation g(x) =f(x)+ b

The g(x) has intercept of y=-2,

Then the  y-intercept of f(x) is at y=3

If we find the difference between both y-intercepts, we have

( -2 -3) = -5

Then b=-5

Hence, g(x) = f(x - 5) is correct.

Learn more about the  transformation at

brainly.com/question/4289712

#SPJ1

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In na hour , a jogger burns about 4 calories pero pound of body weight. How Manu calories will a jogger who weighs 151 pounds in
Alex777 [14]

This is a rate*unit problem.


So, 4 calories per pound x 151 pounds

4\times151=604

He will burn 604 calories in one hour

6 0
3 years ago
3y''-6y'+6y=e*x sexcx
Simora [160]
From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is

3r^2-6r+6=0\iff r^2-2r+2=0

which has roots at r=1\pm i. This admits the two fundamental solutions

y_1=e^x\cos x
y_2=e^x\sin x

The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

y_p=u_1y_1+u_2y_2

where

u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\frac13\int\frac{y_1e^x\sec x}{W(y_1,y_2)}\,\mathrm dx

and W(y_1,y_2) is the Wronskian of the fundamental solutions. We have

W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}

and so

u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx
u_1=\dfrac13\ln|\cos x|

u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx
u_2=\dfrac13x

Therefore the particular solution is

y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x

so that the general solution to the ODE is

y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x
7 0
3 years ago
What’s the correct answer for this question?
Ad libitum [116K]

Answer:

C:

Step-by-step explanation:

Both angles add up to 180°

<BCG + <BFG = 180°

2x+146+4x+238=180

6x+384 = 180°

6x = 180-384

6x = -204

Dividing both sides by 6

x = -34

8 0
3 years ago
Please help me with these two questions!! show work too!
const2013 [10]

Answer:

x 37 y 30

Step-by-step explanation:

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4 0
2 years ago
Real quick<br><br> what is the radius of 16 cm simplest form
KIM [24]

<u>Answer:</u>

8cm

<u>Explanation:</u>

If the 16 cm is the diameter then the radius is 8 cm

8 0
3 years ago
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