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2 years ago

The graph of the logarithmic function f(x) = loga(x) passes through the points and . The graph lies the y-axis.

2 answers:

8 0

The question is incomplete. But this explanation will help you very much.

1) Regarding the function $log_ax$ , its graph always passes through the points (1,0) and (a,1).

That is due to the properties of logarithm function:

a) $log_a1=0$

b) $log_aa=1$

That in turn is due to the properties of the exponential functions.

a^0 = 1 and a^1 = a

2) Regarding the y-axis.

The function $log_ax$ will never touch the y-axis, because the logaritm of zero is not defined. So the graph lies to the righ of the y-axis (i.e. the domain of the function is x > 0)

lesya692 [45]2 years ago

3 0

Answer:

(1, 0)

Step-by-step explanation:

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Mr. Shamir employs two part-time typists, Inna and Jim, for his typing needs. Inna charges $15 an hour and can type 6 pages an h

coldgirl [10]

Answer:

The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

Step-by-step explanation:

We are given the following information in the question:

Charges for 1 hour for Inna = $15

Number of pages typed by Inna in 1 hour = 6

Charges for 1 hour for Jim = $18

Number of pages typed by Jim in 1 hour = 8

Let x be the number of hours Inna work and let y be the number of hours Jim work.

Total cost = $15x + 18y$

We have to minimize this cost.

Then, we can write the following inequalities:

$6x + 8y \geq 208\\x \geq 8\\y \geq 8\\$

The corner points as evaluated from graph are: (8,20) and (24,8)

C(8,20) = 480$

C(24,8) = 504$

Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.

The attached image shows the graph.

3 0

1 year ago

In a right triangle ?ABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: The median to side BC The length of t

ludmilkaskok [199]

The length of the angle is 12

8 0

2 years ago

Read 2 more answers

A machine is set to fill the small-size packages of m&m candies with 56 candies per bag. a sample revealed: three bags of 56

luda_lava [24]

In statistics, the amount of degrees of freedom is the quantity of values in the final computation of a statistic that are free to differ. In this case, you can get the answer by adding the number of bags and subtracting 1.

So in computation, this would look like: 3 + 2 + 1 + 2 - 1 = 7

Therefore, 7 is the degrees of freedom.

7 0

1 year ago

When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounc

Sholpan [36]

Answer:

Hi There!

Answer:

The hot coca mad by Eli is more chocolaty because it has more chocolate in lesser amount of water.

Because, Arjun takes quantity of chocolate = 20 mL

Choice 1.

Arjun takes quantity of water = 33 ounces

The Chocolate to Water ratio is

Chocolate : Water = 20 : 33

Dividing by 20, We get

Chocolate : Water = 1 : 1.65

Choice 2.

Arjun add 1 ml of chocolate in 1.65 ounces of water.

Eli takes quantity of chocolate = 45 mL

Eli takes quantity of water = 66 ounces

The Chocolate to Water ratio is

Chocolate : Water = 45 : 66

Dividing by 45 , we get

Chocolate : Water = 1 : 1.47

Eli add 1 ml of chocolate in 1.47 ounces of water.

So, The hot coca mad by Eli is more chocolaty because it has more chocolate in lesser amount of water.

Good Luck!

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1 year ago

The following model can be used to study whether campaign expenditures affect election outcomes: voteA = β0 + β1log(expendA) + β

rosijanka [135]

Answer:

(i) It represents change in expenditure by candidates A; (ii) $H_0:\beta_1+\beta_2=0$

Step-by-step explanation:

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1 year ago