Mathematics High School

A logarithmic function of base ‘3’ has a vertical asymptote at the line x=1. Its graph contains the point (2,1). What is the equation of the function?
1) f(x)=log3 (x+1)
2) f(x)=log3(x-1)+1
3) f(x)=log3(x+1)+1
4) f(x)=log3(x)+1

Answers

Answer 1

9514 1404 393

Answer:

  2)  f(x) = log3(x -1) +1

Step-by-step explanation:

The vertical asymptote of the log function is normally x=0. In this function, it is moved to the right 1 unit. That is accomplished by replacing the function argument x with (x-1). Only one answer choice matches:

  f(x) = log3(x -1) +1

A Logarithmic Function Of Base 3 Has A Vertical Asymptote At The Line X=1. Its Graph Contains The Point

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it would be 7/10 as a fraction
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Solve the inequality 2x + 3 > 19

Answers

Answer:

x > 8

Step-by-step explanation:

Given

2x + 3 > 19 ( subtract 3 from both sides )

2x > 16 ( divide both sides by 2 )

x > 8

The solution of the inequality 2x + 3 > 19 is  x>8.

The relationship between the two values that are not equal to each other, either they are greater or less than each other, is called as inequality.

A collection of constants, variables connected using one or more arithmetic operator is called an expression

Example = 4y, 3x+4.

The inequality of the expression 2x + 3 > 19 is calculated as:

2x + 3 > 19

Subtract 3 from both the sides,

2x > 19 -3

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Divide both side by 2, to get the inequality,

[tex]x > \dfrac{16}{2}[/tex]

Where, x> 8.

The inequality of the expression 2x + 3 > 19 is x> 8.

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5(x – 3) = -15 + 10(x + 3) – 5x
Please help

Answers

Answer:

There are no solutions.

Step-by-step explanation:

Expand 5(x-3) 5x-15

Expand -15+15=5x+15+15

Add 15 to both sides

5x-15+15=5x+15+15

Simplify

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Subtract 5x from both sides

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How can you recognize a linear equation? How can you draw its graph?
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Answers

Answer: where is it?

Step-by-step explanation:

Locate the y-intercept on the graph and plot the point.

From this point, use the slope to find a second point and plot it.

Draw the line that connects the two points.

p.s hope this helps

PLS ANSWER THIS ASAP

Answers

Answer: i think its c

Step-by-step explanation:

If a circle has a radius of 4 inches, what is the diameter
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Answers

Answer:

8 inch

Step-by-step explanation:

radius is half the diameter

Find the length for segment AB. Round to the nearest unit if necessary and enter as a whole number.

Answers

Answer:

The length for segment AB is 5 units

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We must find the length for the segment AB. The coordinates of the endpoints are A(-3,2) B(0,6).

Calculating the distance:

[tex]d=\sqrt{(0+3)^2+(6-2)^2}[/tex]

[tex]d=\sqrt{3^2+4^2}[/tex]

[tex]d=\sqrt{9+16}[/tex]

[tex]d=\sqrt{25}[/tex]

d = 5 units

The length for segment AB is 5 units

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Answers

I- huh I don’t understand the question

What is the volume of a rectangular prism with a length of 10 in, width of 5 in, and height of 8 in?

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Answer:

400

Step-by-step explanation:

to find volume of a rectangular prism is whl which in ur case equals 400

What is the slope of the line through(1,−1) and (5,−7)

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Answer:

The slope: -3/2

How it looks graph-ed:

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Answer:

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Step-by-step explanation:

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Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?

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Find the fraction as percent.
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Answers

Answer:

thats a long question ong

Step-by-step explanation:

3 is what percent of 2

Answers

Answer:

The answer is 0.06

Step-by-step explanation:

do you have my answer plz help plz

PLEASE HELP ME THIS IS A MAPS TEST PLEASE HURRYIf a car can travel 435 miles on 25 gallons of gas, how many miles per gallon does the car get?
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Answers

It’s E because your divide 435/25 to find how many miles per gallon

Answer: E. 17.4

Step-by-step explanation:

434÷25=17.4

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Answers

I believe it’s D. Parallel
I’m pretty sure it’s D. Parallel property

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Answers

Answer:

7/20

Step-by-step explanation:

Answer:

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Step-by-step explanation:

solve for X. y=x-5 and y=6 simplify your answer as much as possible.

Answers

Answer:

x=11

Step-by-step explanation:

6=x-5

11=x

Answer: The answer is 11.

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Perfect Parties, a party supplies store, always gets busy around graduation. Currently, they have 3 orders: one for 500 balloons, one for 275 balloons, and one for 125 balloons. Each balloon must be tied with a 5-foot-long ribbon. How many yards of ribbon do they need for their current orders?

Answers

Answer:

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Step-by-step explanation:

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Jadynn's washing machine holds l,086 liters of water. how much water dose it hold in gallons? A gallons is approximately 3.79 liters. round to the nearest tenth

Answers

Answer:

286.5 gallons of water

Step-by-step explanation:

1,086 ÷ 3.79= 286.5435356

Round to the nearest tenth

286.5

Answer:

286.54 gallons

Step-by-step explanation:

You have 1,086 liters and you are trying to find how many gallons it is

Luckily you are given how many liters go into a gallon

So from there it's simple division

1,086/3.79 = 286.5435356200528

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Alicia ran 2 ¼ miles in 3/5 of an hour. At this rate, how many miles could
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Answers

Answer:

3.75 or 3 3/4 miles an hour

Step-by-step explanation:

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Angeline would like to make 8 identical bowls for a gift to her family. Each bowl required 3/4 lbs. of clay. The clay is sold in 5 lb. blocks. How many 5 lb. blocks will she need to buy?
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Answers

Answer:

2

Step-by-step explanation:

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Answers

.23 (three repeating)

tell me if its wrong

Answer:

If the equation is "5/7(x)=3" then the answer's x=21/5

Step-by-step explanation:

Combine multiplied terms into a single fraction.

Multiply all terms by the same value to eliminate fraction denominators.

Simplify.

Divide both sides of the equation by the same term.

Simplify.

solve the equation

3^2x-1=27^x-1

Answers

Step-by-step explanation:

3^(2x) - 1 = 27^x - 1

3^(2x) = 27^x

3^(2x) = (3^3)^x

3^(2x) = 3^(3x)

Therefore 2x = 3x and x = 0.

If 2^x = y, express the following in terms y.
[tex] {2}^{x + 3} [/tex]
​

Answers

Step-by-step explanation:

2^(x + 3)

= 2^x * 2^3

= (y) * 8

= 8y.

Answer:  8y

Step-by-step explanation:

[tex]2^{x} =y\\\\2^{x+3} =2^{x} \cdot 2^{3} =y \cdot 8 = 8y[/tex]

Am confused on what to do

Answers

Answer:

[tex]\sqrt{x} 42[/tex], [tex]\sqrt{x} 114[/tex], 12, [tex]\sqrt{x} 150[/tex],22

Step-by-step explanation:

the numbers are 22 [tex]\sqrt{x} 150\\[/tex] [tex]\sqrt{x} 114[/tex] [tex]\sqrt{x} 42[/tex] and 12, 22 and 12 stays the same

[tex]\sqrt{x} 150[/tex] gives you= 12.24

[tex]\sqrt{x} 114[/tex]=10.67

[tex]\sqrt{x} 42[/tex]=6.48

Which inequality is true?
A |-25| < |-11 |
B –25 >-11
C -11 > |-25|
D |-11 | >-25

I NEED THIS ASAP

Answers

Answer:

D |-11 | >-25

Step-by-step explanation:

|-11 | = 11

11 > -25

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