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3 years ago

10

A number increased by 4 is the same as 19 - 2 times the number

1 answer:

masha68 [24]3 years ago

6 0

The number is 5

x + 4 = 19 - 2x
+2x +2x
3x + 4 = 19
-4 -4
3x = 15
/3 /3
x = 5

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Which is the graph of f(x) = log3x?.

valentinak56 [21]

Logarithm functions are the inverses of the exponential function the graph of the given function is attached in the given image.

The points for the given function are (1,0) (3,1) and (9,2)

Given that

Function; $\rm f(x) = log3x$

We have to determine

The graph of the function f(x).

According to the question

The logarithmic function is the inverse of the exponential function.

Function; $\rm f(x) = log_3x$

To plot the graph of the given function we have to find the asymptotes;

Vertical asymptote at x =0

The point at x= 1 is,

$\rm f(1) = log_3(1)\\\\f(1)=log_33\\\\f(1)=1$

The point at x= 3 is,

$\rm f(3) = log_3(3)\\\\f(3)=log_33\\\\f(3)=1$

The point at x= 9 is,

$\rm f(9) = log_3(9)\\\\f(9)=3log_33\\\\f(9)=3\times 1\\\\ f(9)=3$

Hence, the points for the given function are (1,0) (3,1) and (9,2).

To know more about the Exponential function given below.

brainly.com/question/3653847

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3 years ago

If the numerator and denominator of the fraction is increased by 2an1 respectively; it becomes3/4 if the numerator and the denom

ipn [44]

Answer:

The fraction is $\frac{7}{1}$

Step-by-step explanation:

Let the numerator be x and denominator be y

So, Fraction = $\frac{x}{y}$

Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4

So, Fraction becomes : $\frac{x+2}{y+1}=\frac{3}{4}$

$4(x+2)=3(y+1)$

$4x+8=3y+3$

$4x-3y+5=0$ ----1

We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2

So, Fraction becomes : $\frac{x-2}{y-1}=\frac{1}{2}$

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

$2x-4=y-1$

$2x-y-3=0$ ---- 2

Substitute the value of y from 2 in 1

$4x-3(2x-3)+5=0$

$4x-6x+9+5=0$

$14=2x$

$7=x$

Substitute the value of x in 2

$2(2)-y-3=0$

$4-3=y$

$1=y$

So, Fraction = $\frac{x}{y}=\frac{7}{1}$

Hence The fraction is $\frac{7}{1}$

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