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
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
Please help, 20 points
Answer:
A
Step-by-step explanation:
The graph has closed cricles on the left of the step and open circles on the right and includes the step
3 divided by the sum of x and 9
Answer:3/9
Step-by-step explanation:
The probability that Adam will make a free throw is 0.76. What is the probability that he will miss the free throw
Answer:
24%
Step-by-step explanation:
Since we know that the probability that he WILL make it is 0.76, all that is necessary is to subtract the probability that he will make it from the absolute possibility.
1 - 0.76 = 0.24
two friends are 60 miles apart. they decide to ride their bicycles to meet each other. sally starts from the college and heads east, riding at a rate of 21 mph. at the same time teresa starts from the river and heads west, riding at a speed of 15 mph. how long does it take for them to meet?
A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon's vertical position is 12 meters and the canoe's is -4.8 meters. The equation 12 + d = -4.8 represents this situation.
Answer:
4.8x345+338283
Step-by-step explanation:
solve using square root
x^2=25
Answer:x=5 or x=−5
Step-by-step explanation:Step 1: Take square root.
x=±√25
x=5 or x=−5
Answer: x^2=25 would be [ x = 5, -5 ]
Step-by-step explanation: hope that helps with everything!
Valerie took her family to Busch Gardens. She spent a total of $927.50. If she spent $158 on lunch for everyone and each ticket to the park cost $85.50, how many family members did she bring?
Answer:
I think the answer is either 4 or 3.
Step-by-step explanation:
I added the amount she spent for everyone with the parking cost which gaved me 243.5
Then I just times it to find the answer.
Solve the equation,
х
- 4 = – 15, for the given variable.
Answer: x =
Answer:-11
Step-by-step explanation: add -4 to both sides which gives you -11.
24*43x22*8x67x890x10*3x6*1x8*1
Answer:
1032x176x67x890x30x6x8
1032×176×67×890×30×6×8x^6
1.56^13×x^6
Can someone help me with this problem
Answer:
d=16t squared
Step-by-step explanation:
Simplify the algebraic expression by combining like terms.
Answer:
The answer for the first problem is 10x + 4 and the answer for the second problem is 14x + 6.
Step-by-step explanation:
First problem: 6x - 3 + x + 7 + 3x
First, look at the terms, match the x's with x's and numbers with numbers.6x + 3x + 1x = 10x
-3 + 7 = 4
So this makes the answer 10x + 4.
Second problem: 2(7x + 3)
All you need to do is distribute the 2 for 7x + 3, meaning that you multiply each of them by 2.
2 times 7x = 14x
2 times 3 = 6
So the answer is 14x + 6.
could you help me with this?
write an equation in slope intercept form for the line that passes through (1,8) and (2,11)
a. y=5x+8
b. y-8=3(x-1)
c. y=-3x-5
d.y=3x+5
Answer:
both b and d cross those points
Step-by-step explanation:
solved them
im not really sure but im tginking b
The mean of five numbers is 6 the median is 7 and the mode is 2. What is the answer?
Answer:
2,2,7,9,10
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HELP BEING TIMES ASAPP
Find the length of the intercepted arc given the central angle 345 deg and radius 2.5ft
A. 431.25ft2
B. 18.8ft?
C. 862.5 ft
D. 15.1ft
Damian is buying a video game that was just marked 20% off. The original price was
$80. What is the new price of the video game?
russell works at a football concession stand selling drinks for $2 and bags of chips for $3
Answer:
its 5
Step-by-step explanation:
2+3 = 5
-_-
The number of drinks sold by Russell were 54 and number of chip sold were 46.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Russel sells a total of 100 drinks and bags of chips
C+D=100...(1)
Drinks for $2 and bags of chips for $3.Russell makes a total of $246
3C+2D=$246..(2)
Let us solve above two equations to find the number of drinks and chips sold.
C=100-D (From (1))...(3)
Substitute (3) in (2)
3(100-D)+2D=246
300-3D+2D=246
300-D=246
300-246=D
D=54
Now plug D value in equation (1)
C+54=100
Subtract 54 from both sides
C=100-54
C=46
Hence the number of drinks sold by Russell were 54 and number of chip sold were 46.
To learn more on Equation:
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What name is given to each of the following angles?
a) An angle of exactly 90 degrees
b) An angle between 90 degrees and 180 degrees
c) An angle less than 90 degrees
d) An angle between 180 degrees and 360 degrees
Answer:
Step-by-step explanation:
a) Right angle
b) Obtuse
c) Acute
d) Reflex angle.
Thank you
The name of the angles are as follows:
1) x = 90 degrees: Right angle.
2) 90 < x < 180: Obtuse angle.
3) 90 > x : Acute angle.
4) 180 < x < 360 : Reflex angle.
Given,
Category of angles.
Now,
1)
Right angle : An angle of exactly 90 degrees.
x = 90 degrees
2)
Obtuse angle :
An angle between 90 degrees and 180 degrees.
90 < x < 180
3)
Acute angle:
An angle less than 90 degrees.
90 > x
4)
Reflex angle:
An angle between 180 degrees and 360 degrees.
180 < x < 360
Know more about angles,
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PLEASE HELP
Carmen is writing an article for a magazine. She will be paid a flat fee and also will be paid for each word that is published. The total amount she can expect to be paid, in dollars, can be estimated using the function f(x) = 2.5x + 150 . where s is the number of words published . What is the inverse of this function?
Step-by-step explanation:
Given Function
f(x) = 2.5x + 150
f^-1(x) = ?
Let y = f(x)
y = 2.5x + 150
Interchanging the role of x and y we get,
x = 2.5y + 150
x - 150 = 2.5y
y = (x - 150) / 2.5
So therefore
f^ -1(x) = (x - 150) / 2.5
Hope it will help :)
Mathematics
What is (4-x)(4-x)
Step-by-step explanation:
(4-x)(4-x)=16-4x-4x+x= 16-7x
.........
Can someone please help me with this asap
Answer:
AB=13
Step-by-step explanation:
Given: BC= 14, AC=27
since AC is the whole line, you subtract by BC to solve AB so,
27-14=13
What is the value of x
Answer:
X = 56 degrees
Step-by-step explanation:
Angles D and F are equivalent. Because the three angles must add up to 180 degrees, you must add 112 to 68 in order to reach 180. Then you must divide this in half, getting 56 degrees as your answer.
180 - 68 = 112
112/2 = 56
X=56
Use the properties of radicals to simplify the expression
Given:
The expression is
[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}[/tex]
To find:
The simplified form of given expression.
Solution:
We have,
[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}[/tex]
It can be written as
[tex]\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}[/tex] [tex]\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right][/tex]
Therefore, the simplified form of given expression is [tex]\sqrt[3]{\dfrac{9}{4}}[/tex].
Note: We can further simplify this expression but be need use exponential properties.
PLEASE HELP !!
What is the solution to the equation 6m - 60?
O m- 10
Om=50
Om=88
Om=360
Quest
Peyton ran 4 miles in 28 minutes. Assuming he keeps the same pace, how long would it take him to run 7 miles?
Answer:
49 minutes
Step-by-step explanation:
unit rate is 7 minutes each mile 7 x 7 is 49 :)
can i pls get brainliest
how to multiply 2^4 tell fast im waiting
Answer:
Command
Simplify
2 power of 4
16
2 power of 4
Step-by-step explanation:
Test 4,580 for divisibility by 2, 3, 5, 9, and 10.
2 and 5
5 and 10
2, 3, 5, and 10
2, 5, and 10
Answer:
Find the X and Y Intercepts 3x-5y=-20
Find the X and Y Intercepts 3x-5y=-20. 3x−5y=−20 3 x - 5 y = - 20. Find the x-intercepts. Tap for more steps
Step-by-step explanation:
Chef Rita is cooking for a Sunday brunch. She knows that 22 pancakes can feed 8 people. She is wondering how many people (p) she can feed with 55 pancakes. She assumes each person eats the same quantity of pancakes.
Answer:
20 people
Step-by-step explanation:
In order to find out how many people she can feed with 55 pancakes, we must find out how many pancakes she can feed 1 person.
22/8 = 2.75
She can feed 2.75 pancakes to one person.
55/2.75 = 20
Therefore, she can feed 20 people with 55 pancakes.
describe the rule for this continuing sequence 44 41 38 35 32
Answer:
x-3
Step-by-step explanation:
44-3=41
41-3=38
38-3=35
35-3=32