Answers
Answer:
Step-by-step explanation:
y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]
Answer:
Step-by-step explanation:
f(x) = x² - 3x + 2
y = x² - 3x + 2
solve for x as a function of y
y - 2 = x² - 3x
complete the square by adding the square of half the x¹ coefficient to each side of the equation.
y - 2 + (-1.5)² = x² - 3x + (-1.5)²
y + 0.25 = (x - 1.5)²
[tex]\sqrt{y + 0.25}[/tex] = x - 1.5
x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]
now swap the x and y variables and revert to function notation
f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex] domain is x ≥ -0.25
each input will have two outputs except where f(-0.25) = 1.5
Related Questions
During a visit to the tide pools, Brent observed 16 sea stars, 4 sea urchins, and 52 sea anemones. What is the ratio of sea anemones to sea stars?
Answers
Answer:
16 to 52
Step-by-step explanation:
What happens to the median of the data set below if the number 10 is added?
{2, 4, 8, 2, 7, 6, 18, 20, 24}
Answers
Answer:
The median goes up 0.5
Step-by-step explanation:
Before the number 10.
Mean x¯¯¯ 10.111111111111
Median x˜ 7
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 9
Sum 91
Quartiles Quartiles:
Q1 --> 3
Q2 --> 7
Q3 --> 19
Interquartile
Range IQR 16
Outliers none
After 10 is added.
Mean x¯¯¯ 10.1
Median x˜ 7.5
Mode 2
Range 22
Minimum 2
Maximum 24
Count n 10
Sum 101
Quartiles Quartiles:
Q1 --> 4
Q2 --> 7.5
Q3 --> 18
Interquartile
Range IQR 14
Outliers none
It goes up .5.
John types 265 words in 5 minutes. At this rate, how many words does he type per minute
Answers
Answer:
John can type 53 words per minute
Step-by-step explanation:
You would divide 265 by 5 to get the result of 53.
Answer: John types 53 words a minute
Step-by-step explanation:
1 We know he types 265 words in 5 minutes
2 DIvide 265 by 5 to get one minute
3 the answer is 53, so he types 53 WPM
givien the function 6x+6y=5 rearrange the equation so that x is the independant varible
Answers
Answer:
so 6x = -6y + 5
divide by 6
x = 5
Step-by-step explanation:
How do I solve this? 2(-2w-1.2+7x)
Answers
I need help finding the value of z!
Answers
Answer:
thus
Step-by-step explanation:
Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.
3
Evaluate the function f(x) = (x + 2)2 for the given inputs.
a. f(5)=
b. f(-3) =
c. f (x+3) =
Answers
Answer:
a. 49
b. 1
c. x^2+10x+25
Step-by-step explanation:
Symply substitute the values (5, -3, x+3) in the equation (x+2)^2
I was absentee and i dont know how to solve it help plz
Answers
Answer:
-1/3 or 1/-3 (it doesn't matter which one you pick because its still the same)
Step-by-step explanation:
You find slope by doing rise over run. Its left to right so you start on the left dot and go down one. This makes it -1 because you're going down, not up. You move 3 to the right which makes it positive. Once you do this itll lead you right the the 2nd point. 1 down= -1
3 right= 3
-1/3
Kyle runs three and one fourth miles in twenty-two and three fourth minutes. He runs each mile in the same number of minutes. How many minutes does it take Kyle to run a mile?
Answers
22.75/3.25 is 7. Kyle takes 7 minutes to run a mile.
derivative for the function of t3+k/t=
Answers
Answer:
Step-by-step explanation:
I will ASSUME you want the derivative with respect to "t" of the equation
f(t) = t³ + kt⁻¹
f'(t) = 3t² - kt⁻² which can also be 3t² - k/t²
Which numbers complete the blanks when solving the equation cos(x+2π) = - √2/2 over the interval [0,2π]
Answers
Answer:
x = 3π/4, 5π/4
Step-by-step explanation:
cos(x+2π) = -√2/2, [0,2π]
cos(x)cos(2π)-sin(x)sin(2π) = -√2/2
cos(x) = -√2/2
x = 3π/4, 5π/4
Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).
the elevation of the salton sea in california is 66 meters below sea level. which integer best represents this elevaton in meters?
please help
Answers
Answer:
-66
Step-by-step explanation:
If we use 0 as the centre of all numbers, and another number is 66 below this baseline, we could say that it is -66 meters above sea level, or 66 meters below sea level.
F(t) = 200(0.95)^t
What is the rate of change?
Answers
Answer:
f(t)=-5%
Step-by-step explanation:
Answer:
the rate of change is 5%
Step-by-step explanation:
Given : Function
To find: What is the rate of change?
Solution :
The given function is an exponential function as it is in form
in which b is the factor of rate,
If b=1+r then r is the growth rate
If b=1-r then r is the decay rate.
We have given b=0.95
So, 0.95=1-r
r=1-0.95
r=0.05
i.e, It is a decay rate with 5%.
Therefore, The rate of change is 5%.
Find the 53" term of the following arithmetic sequence.
3, 11, 19, 27, ...
Answers
Answer:
419
Step-by-step explanation:
a=3
d=11-3=8
[tex]a_{n}=a+(n-1)d\\n=53\\a_{53}=3+(53-1)*8\\=3+52*8\\=3+416\\=419[/tex]
Write an inequality to represent the graph.
у
(0, 2)
-3
- 2 - 1
7
8
9
10
0
-1
5 6
(4,-1)
-2
-3
-4
-5
-6
Answers
Answer:
The answer is i think(4,1)
Step-by-step explanation:
112
121
124
137
147
156
173
189
Find the median revenue.
Answers
Answer:
142
Step-by-step explanation:
Median is the MID Number
I need help with a quiz
A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units. What is the height of the prism?
Answers
Answer: the area of the base will be multiplied by 4, since it will be changed from LW to
(2L)(2W) = 4LW
So, apply that to finding the new volume.
If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.
The height of the prism will be given as,
960 = 80 x H
H = 960 / 80
H = 12 units
If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.
More about the volume of the rectangular prism link is given below.
https://brainly.com/question/21334693
#SPJ2
The population of a city grew from 23,000 in 2010 to 25,000 in 2015.
a. What was the average rate of change during this time interval?
Type the answer in the box below.
Answers
The average rate of change during this time interval is 400 population per year
The average rate of change during this time interval is expressed as:
Rate of change = change in population/change in timeChange in population = 25000 - 23000
Change in population = 2000Change in time = 2015 - 2010
Change in time = 5 yearsSubstitute into the formula;
Rate of change = 2000/5
Rate of change = 400
Hence the average rate of change during this time interval is 400 population per year
Learn more on Rate of change here: https://brainly.com/question/8728504
Last year, a gardening store ordered 8,910 potted plants. This year, they ordered 9,801 potted plants. What is the percent of increase in the number of potted plants ordered annually?
Answers
Answer:
Step-by-step explanation:
100(9801 - 8910)/8910 = 10%
Marco buys a wooden board that is 12 feet long. The cost of the board is $1.25 per foot, including tax. What is the total cost, in dollars, of Marco's board?
Answers
The cost of the length of wood Marco buys depends on the price of the wood.
The total cost in dollars of Marco's board is $15
Reasons:
The length of the wooden board Marco buys (quantity) = 12 feet
The cost of the board per foot, including tax (price) = $1.25
Let x represent the percentage of the tax applied to the total cost, and let y represent the cost before tax, we have;
Cost per foot, C₁ = 1.25 = y + x·y
The cost of 12 feet of the wooden board is given by the proportional relationship between cost, price and quantity as follows;
Cost = Price × Quantity
The cost of 12 feet of the wood is therefore;
Cost of 12 feet, C₁₂ = 12 × y + 12 × x·y = 12 × (y + x·y) = 12 × $1.25 = $15
The cost of 12 feet of wood = $15
Learn more about proportions here:
https://brainly.com/question/65853
please help with this problem!!
Answers
Answer:
1/9 —> 11 1/9%, 1/3 —> 33 1/3%, 5/9 —> 55 5/9%, and 8/9 —> 88 8/9%
Step-by-step explanation:
Answer:
its easy. just match numbers that look close to each other
Step-by-step explanation:
6:4 is equivalentto blank:24
Answers
PLEASE HELP MEEE!!!!
5. Jared visited his family doctor after suffering for days with a rash that appeared on his ankles and calves as soon as he arrived home from camp. Jared's doctor asked him several questions about his activities during the past week, including the places he'd been and the kind of clothing he wore. Then the doctor announced that Jared had a nasty case of polson Ivy.
What kind of reasoning did Jared's physician use to make a diagnosis? Explain how you you were able to tell what kind of reasoning was used.
Answers
Answer:
I would say Inductive reasoning.
Step-by-step explanation:
Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.
Hope this helps you out a bit.
Answer:
Deductive reasoning
Step-by-step explanation:
Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.
Please help! photo is attached with the problem.
Answers
A college is selling tickets to the annual battle of the bands
competition. On the first day of ticket sales, the college sold 3
student tickets and 5 adult tickets for a total of $70. On the
second day, the college sold 12 student tickets and 12 adults
tickets for a total of $216.
Use elimination to solve the system of linear equations and
determine the price of each student ticket, x, and each adult
ticket, y. Write your answer as an ordered pair (x,y).
Answers
Answer:
Step-by-step explanation:
Answer:
(10,8)
Step-by-step explanation:
Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, 2 1/7 divided by 1 2/5 =?
Answers
Answer:
1 26/49
Step-by-step explanation=
2 1/7 ÷ 1 2/5
15/7 over 1 2/5
15/7 over 7/5
75/49
= 1 26/49
Please help!! I will give a good rating and brainliest if it let's me!!!!
Answers
Answer:
3/4 is the slope
Step-by-step explanation:
slope= mx+b
so,
(10,30) is an exact meet
so is (50,60)
so what is the rise/run
answer
30/40
or
3/4
so mx+b=
3/4x+22
full equation is 3/4x+22
Find the sum of the first 48 terms of the following series, to the nearest integer. 7,11,15
Answers
Answer:
7, 11, 15, 19, 23, 27, 31... and keep going until you have an answer.
Step-by-step explanation:
Just keep adding 4 until you have all the 48 terms you need.
Determine if these functions are even, odd, or neither
Answers
Answer:
First Graph: the function is symmetrical around y axis -> Even
Second Graph: the function is neither
how many units is -3 2/3 from zero on the number line
Answers
Answer:
It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.
Step-by-step explanation:
It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.