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Verdich [7]
3 years ago
12

Graph f(x) = log5 (x-3).

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Step-by-step explanation:

We want to graph:

f(x) =\log_{5}(x - 3)

We first graph the parent function

g(x) =\log_{5}(x)

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.

We then shift the graph of the parent function 3 units right, to obtain the graph of

f(x) =\log_{5}(x - 3)

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.

See attachment.

You might be interested in
What is the slope of the line y = 3?
CaHeK987 [17]
The slope would be 0. Because the line would be flat if all of the y values equal 3, that means the slope = 0. If now x=9 or anything like that, that would be undefined,

I hope this helped! If it does then please thank, rate, and give brainliest answer!
4 0
3 years ago
Read 2 more answers
PLS HELP PLSSS HELP
Sonja [21]

The factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

<h3>Factoring quadratic expressions</h3>

From the question we are to factor the given quadratic expressions

  • y = x² + 5x - 14

y = x² +7x -2x - 14

y = x(x +7) -2(x +7)

y = (x -2)(x +7)

  • y = x² -3x - 54

y = x² -9x +6x - 54

y = x(x -9) +6(x -9)

y = (x +6)(x -9)

  • y = x² +8x + 12

y = x² +6x +2x +12

y = x(x +6) +2(x +6)

y = (x +2)(x +6)

  • y = x² -11x +30

y = x² -6x -5x +30

y = x(x -6) -5(x -6)

y = (x -5)(x -6)

  • y = x² - 25

y = (x +5)(x -5)

  • y = x² + 8x - 9

y = x² +9x -x -9

y = x(x +9) -1(x +9)

y = (x -1)(x +9)

  • y = x² - 16

y = (x +4)(x -4)

Hence, the factored form of the given expressions are

y = (x -2)(x +7)

y = (x +6)(x -9)

y = (x +2)(x +6)

y = (x -5)(x -6)

y = (x +5)(x -5)

y = (x -1)(x +9)

y = (x +4)(x -4)

Learn more on Factoring quadratic expressions here: brainly.com/question/52959

#SPJ1

4 0
2 years ago
Read 2 more answers
Help!
Bess [88]
Website 1

y=1.50x+30

Website 2

y=2x+30

Hope this helps!
4 0
3 years ago
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 2
Aleksandr-060686 [28]

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

6 0
2 years ago
The question is attached
Bingel [31]

Answer:

We call the denominator rational.

Step-by-step explanation:

For example:

\frac{1}{\sqrt{2}} = \frac{\sqrt2}{\sqrt2 \cdot \sqrt2} = \frac{\sqrt2}{2}

It's clear that the denominator is now a rational number, not an irrational one anymore.

5 0
1 year ago
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