3 years ago

If g(x)= 2x+5 find g(5)

Mathematics

1 answer:

sukhopar [10]3 years ago

7 0

Answer:

Step-by-step explanation:

g(5) = 2(5) + 5

g(5) = 10 + 5

g(5) = 15

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Which of the following integrals represents the area of the region bounded by x = e and the functions f(x) = ln(x) and g(x) = lo

Neko [114]

Notice that

$\log_{1/e}x=\dfrac{\ln x}{\ln\frac1e}=\dfrac{\ln x}{-\ln e}=-\ln x$

$f(x)=\ln x$ and $g(x)=-\ln x$ intersect when $x=1$ . For all $x>1$ , we have $\ln x>0$ and $-\ln x$ , so $f(x)>g(x)$ . Then the area we want is given by the integral,

$\displaystyle\int_1^e\ln x-(-\ln x)\,\mathrm dx=2\int_1^e\ln x\,\mathrm dx$

or in terms of $\log_{1/e}x$ ,

$\displaystyle\int_1^e\ln x-\log_{1/e}x\,\mathrm dx$

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3 years ago

Read 2 more answers

Solve the inequality 2x^2-6<-4x

docker41 [41]

X = 3

2X = 6

6^2-6<-4X

6^2 = 12

12-6<-4X

12-6=6

6<-4X

-4X = -12

6<-12

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4 years ago

The gasoline consumption of a bus is 30l/100km and of a car is 9l/100km. To go on a 250 km trip, 30 people can either go by car

shutvik [7]

Answer:

The bus will take less consumption and by 60 litre

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3 years ago

2x- y = -1<br> 5x + 4y = 17

Allisa [31]

Answer:

You will need to use simultaneous equations.

Method:

Get both equations to have the same subject, in this case we will multiply the first equation by 4

1) 2x-y = -1
Becomes
1) 8x-4y = -4

Then make both equations equal to 4y.

1) 8x+4= 4y
2) 4y = -5x + 17

Because they both equal 4y, that means they are equal to each other.

8x+4 = -5x+17
Now solve for x.

13x = 13
x = 1

Now that we have x, we can substitute it back into either equation to get y. I will use equation 1 because it is less complex.

2x-y = -1
2(1)-y = -1
y = 3

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3 years ago