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I am Lyosha [343]
3 years ago
11

F(x) = log10 (x) + 5

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

Find the asymptotes.

Set the argument of the logarithm equal to zero.

x+5=0 . Subtract 5

from both sides of the equation. x=−5

The vertical asymptote occurs at x=−5

Vertical Asymptote: x=−5

<em>Find the point at x=−4</em>

Replace the variable x with −4

in the expression.

f(−4)=log((−4)+5)

Simplify the result. Add −4 and 5

f(−4)=log(1) Logarithm base 10 of 1 is 0

f(−4)=0

The final answer is 0

Convert 0 to decimal. y=0

<em>Find the point at x=5. </em>Replace the variable x with 5

in the expression.

f(5)=log((5)+5)

Simplify the result. Convert 1 to decimal. y=1

<em>Find the point at x=−3</em>

Replace the variable x with −3

in the expression.

f(−3)=log((−3)+5)

Simplify the result.

log(2) . Convert log(2) to decimal. y=0.30102999

The log function can be graphed using the vertical asymptote at x=−5 and the points (−4,0),(5,1),(−3,0.30102999)

Vertical Asymptote: x=−5

 x     y

−4     0

−3    0.301

 5      1

Step-by-step explanation:

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Sean is employed as a truck driver. He drives x hours a week and is paid $21.60 per hour. Also he is paid $250 for food per week
allsm [11]

Answer:

Hours driven= 40 hours

Step-by-step explanation:

Giving the following information:

Variable income= $21.6 per hour

Fixed income= $250

Total income= $1,114

<u>To calculate the number of hours driven, we need to use the following formula:</u>

Total income= fixed income + hourly rate*number of hours

1,114 = 250 + 21.6*x

864 = 21.6x

864 / 21.6 = x

40=x

Hours driven= 40 hours

5 0
3 years ago
An elevator at a department store must carry fewer than 17 people at a time. An elevator operator is present in the elevator at
natulia [17]
I'd say it's x + 1 < 17.
Because the operator should be included as a person as well.
8 0
3 years ago
Read 2 more answers
Could i please get this by today?
aleksley [76]

Answer:

ex.1: 9000$ ex.2: The only way it would work is 9x(-9)= -18+5= -13. ex.3: around 4 hours ex.4: I'm so sorry, I don't understand that. I failed you on that one someone else can answer it ex.5: 149 lbs.

Step-by-step explanation:

Ex1: Is he earns 1/6 of his sales, then it's 1500x6, which is 9000$.

Ex2: Shown in answer.

Ex3: !60+38=198+18=236+38=312.

Ex4: :'(

Ex5: Ruby is 3 lbs less than half her mom's weight, so it would be 76x2=152, then 152-3=149.

4 0
3 years ago
Mr. Falcone pizza shop offers three sizes of pizza. The small medium and large pizzas have diameters of 8 inches 10 inches 12 in
ollegr [7]
<h2>The circumference of small size, medium size and large size of pizzas are  25.12 inches, 31.4 inches and 37.68 inches.</h2>

Step-by-step explanation:

Given,

The diameter of small pizza = 8 inches,

The diameter of medium pizza  = 10 inches and

The diameter of large pizza (d) = 11 inches

To find, the circumference of each size of pizza = ?

We know that,

The circumference of the circle = 2\pi r= \pi d

∴ The circumference of small size of pizza = 3.14 × 8 = 25.12 inches

The circumference of medium size of pizza = 3.14 × 10 = 31.4 inches

Also,

The circumference of large size of pizza = 3.14 × 12 = 37.68 inches

Thus, the circumference of small size, medium size and large size of pizzas are  25.12 inches, 31.4 inches and 37.68 inches.

You can also refer:

https://brainly.ph/question/1009095

5 0
3 years ago
In triangle ABC shown below, side AB is 8 and side AC is 6:
lbvjy [14]
Segment AD is 4, and segment AE is 3. This is because AB is 8, and half of 8 is 4, and then AC is 6, and half of 6 is 3.
8 0
2 years ago
Read 2 more answers
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