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3 years ago

Which function is shown in the graph below?

Mathematics

2 answers:

Margarita [4]3 years ago

8 0

Logarithmic function

Veseljchak [2.6K]3 years ago

3 0

Answer:

The given function is $f(x)=\log_{6}x$ .

Step-by-step explanation:

From the graph, we see that,

The graph is representing a logarithm function.

Let the function be $f(x)=\log_{p}x$ , where p>1, p≠1.

Since, the point (6,1) lie on the graph of the function.

<em>So, the point must satisfy the given function.</em>

That is, $f(6)=1$

i.e. $\log_{p}6=1$

This is only possible if p = 6.

Thus, the given function is $f(x)=\log_{6}x$ .

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A used car was purchased in july

Liula [17]

Answer:

Where's the rest of the question?

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which is a rational function??

snow_tiger [21]

Answer:

A. $y=\frac{x-5}{2}$

B. $y=\frac{2}{x}$

and

D. $y=x^2-x+4$

Step-by-step explanation:

A rational function is of the form $R(x)=\frac{P(x)}{Q(x)} ,Q(x)\ne0$ where

$P(x)$ and $Q(x)$ are polynomial functions.

Based on this definition, every polynomial function is a rational function.

Hence the rational functions in the options provided are;

A. $y=\frac{x-5}{2}$

B. $y=\frac{2}{x}$

and

D. $y=x^2-x+4$

$y=\frac{x-3^x}{x^2}$ is not a rational function because the numerator is not a polynomial function.

4 0

3 years ago

Help on 15 and 16 its geometry!!

Fofino [41]

Step-by-step explanation:

15. If A and B are complementary angles, then sin A = cos B and cos A = sin B.

So if sin A = m, then cos B = m.

16. If sin A = cos B, or cos A = sin B, and A and B are acute, then A and B are complementary.

a. cos 60° = sin θ

60° + θ = 90°

θ = 30°

b. sin 71° = cos θ

71° + θ = 90°

θ = 19°

c. sin θ = cos (θ + 20°)

θ + θ + 20° = 90°

2θ = 70°

θ = 35°

d. sin (θ − 60°) = cos θ

θ + θ − 60° = 90°

2θ = 150°

θ = 75°

6 0

3 years ago

I don’t know. I think I’m doing something wrong. Answer the highlighted questions and show work.

pentagon [3]

12) -5k - 19 = 5 - 13k

-5k = 24 - 13k

8k = 24

k = 3

14) -15n + 16 = 86 - 29n

-15n = 70 - 29n

14n = 70

n = 5

16) 13 - 3p = -5(3 + 2p)

13 - 3p = -15 - 10p

-3p = -28 - 10p

7p = -28

p = -4

18) 14a - 93 = 49 - 57a

14a = 142 - 57a

71a = 142

a = 2

20) 8v = 2(4v + 2)

8v = 8v + 4

No solution

22) 2(-4h - 13) = 37 + 13h

-8h - 26 = 37 + 13h

-8h = 63 + 13h

-21h = 63

h = -3

24) 11n - 3 = 9 + 5n

6n = 12

n = 2

26) -9n - 12 = 8 - 4n

-5n - 12 = 8

-5n = 20

n = -4

6 0

3 years ago

Kevin and Randy Muise have a jar containing 46 coins, all of which are either quarters or nickels. The total value of the coins

Zepler [3.9K]

Answers:

24 quarters

22 nickels

==========================================================

Work Shown:

q = number of quarters

n = number of nickels

q+n = 46 coins total which solves to n = 46-q

25q = value of all the quarters in cents

5n = value of all the nickels in cents

25q+5n = value (cents) of all the coins of both types

25q+5n = 710 cents total = $7.10

-------------

Apply substitution.

25q+5n = 710

25q+5(46-q) = 710

25q+230-5q = 710

20q+230 = 710

20q = 710-230

20q = 480

q = 480/20

q = 24

They have 24 quarters

This yields 25*q = 25*24 = 600 cents = $6.00 so far.

Use that value of q to find n

n = 46-q

n = 46-24

n = 22

They also have 22 nickels.

They have an additional 5n = 5*22 = 110 cents = $1.10

In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.

8 0

3 years ago