Answer:
The number is 13[tex] {x}^{2} + 14x + 13 \\ (x + 13)(x + 1)[/tex]
Step-by-step explanation:
I hope that is useful for you :)
Answer:
Step-by-step explanation:
algebraically find the inverse of a function
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
__
1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
__
3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
__
5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
A consumer affairs investigator records the repair cost for 4 randomly selected washers. A sample mean of $52.63 and standard deviation of $22.01 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the washers. Assume the population is approximately normal. Step 2 of 2 : Construct the 80% confidence interval. Round your answer to two decimal places.
Answer:
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 4 - 1 = 3
80% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.638
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.638\frac{22.01}{\sqrt{4}} = 18.03[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 52.63 - 18.03 = $34.60
The upper end of the interval is the sample mean added to M. So it is 52.63 + 18.03 = $70.66.
The 80% confidence interval for the mean repair cost for the washers is between $34.60 and $70.66.
Find the range of the data
97,106,99,97,115,95,108,100
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation: 115-95=20
Tommy brought three cups of blueberries are in 1 and 1/2 of a cup of blueberries each day how many days can Tommy eat blueberries before they're all gone
Answer:
6
Step-by-step explanation:
An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms
Answer:
The % of women above 50 having mammograms as devised from the survey is 70%.
Step-by-step explanation:
Given
60% of women older than age 50 have annual mammograms
Out of 1000 surveyed women of age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms
The % of women above 50 having mammograms as devised from the survey is 70%.
Help me please this is due tonight!
Here is a photo of the problem. I’m a little blank on my math tonight, any help is appreciated!
9514 1404 393
Answer:
A
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
__
Using these rules, along with the distributive property, we can simplify the given expression.
[tex]\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2\\\\=\displaystyle 9a^3b^6(3a^3b^2+7a^2b^2)-(5^2a^{4\cdot2}b^{4\cdot2})\\\\=(9)(3)a^{3+3}b^{6+2}+(9)(7)a^{3+2}b^{6+2}-25a^8b^8=27a^6b^8+63a^5b^8-25a^8b^8\\\\=\boxed{-25a^8b^8+27a^6b^8+63a^5b^8}\qquad\text{matches A}[/tex]
2345621874+9863412689
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
how do you find the area of the attached shape?
Answer:
You would find the area if each individual shape inside the shape and then add all the areas together to get your final product
I need help with number 3
Answer:
C
Step-by-step explanation:
60+70=130
M=50
K=130
m+k=180 it all adds up
The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.
Answer:
[tex]y+6=-2(x-4)[/tex]
Step-by-step explanation:
Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,
[tex](y-y_1)=m(x-x_1)[/tex]
Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.
It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.
[tex](y-(-6))=-2(x-4)[/tex]
[tex]y+6=-2(x-4)[/tex]
To reach her summer reading goal, Elisa has to read at least 30 books. The inequality b ≥ 30 represents the number of books she needs to read. Which of the following is the solution to this inequality?
Answer:
hii
have a good day for you!
Devin measured his basketball rim. The radius of the rim is 6 inches. What is the circumference of the rim?
help fast plz !!!!!!!!!
Answer:
It should be 35
Step-by-step explanation:
what is the area of the side of this house?
Answer:
25
Step-by-step explanation:
Mrs. Hagan measured the height, in inches, of all the girls in her PE class. She recorded her results in
the following list.
63, 60,67, 62,58, 63, 68,
59, 62, 65,56, 63 59, 62,
58
13. Determine the 5-number summary and make a box-and-whisker plot for the data set.
14. Between what heights are the middle 50% of the girls in Mrs. Hagan's PE class?
Answer:
Step-by-step explanation:
5 number summery
Minimum: 56
Maximum: 68
Median: 62
First quartile: 59
Third quartile: 63
What is the Mean Absolute Deviation of the following data set?
{23, 25, 28, 29, 30}
Answer:
The mean absolute deviation is 2.4
Step-by-step explanation:
a raffle ticket costs $1.50 how many tickets would i need to sell to make my target of $150?
hi
150/1.5 = 100
so 100 tickets
what is the distance between -8 and 535 on a number line
Answer:
527
Step-by-step explanation:
because i did it in the calculator
I need the median the mode the range and the mean plz help the numbers are 13, 21, 14, 29,26, 14, 23.
Plz help
Answer:
Mean: 20
Median: 21
Mode: 14
Range: 16
Answer:
the median is 21. the mode is 14 and the range is 16
Step-by-step explanation:
Find the missing lengths!!!!!!!
Answer:
13
Step-by-step explanation:
It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] = 13
13. The product of 0.21 and 1.8 is 0.378
A) True
B) False
Answer:
true
Step-by-step explanation:
because 0.21 ×1.8 is 0.378
Simplify the expression: 15i ⋅ 4i
Answer:
I think the answer is 11i
there is the correct answer.
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
To learn more about rotation click :
https://brainly.com/question/3956347
#SPJ3
what 2 integers are closest to the number 75
Answer:
74 and 76
Step-by-step explanation:
I'm pretty sure
Answer:
8 and 9
Step-by-step explanation:
8 x 8 = 64
9 x 9 = 81
75 is the number between 64 and 81
the spinner is divided into 12 equal sectors. What is the possibility of not spinning a 2?
Answer:
11/12
Step-by-step explanation:
I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.
Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
In a different field
number of goats: number of pigs = 13:4
Priya says.
"There are more than three times as many goats as pigs
Is she correct?
Tick one box
Yes
NO
Cannot tell
Show working to support your answer.
Answer:
yes
to determine if the statement is true, divide the ratio of goats by the ratio of pigs
13/4 = 3 1/4
there are 3 1/4 more goats as their are pigs
Step-by-step explanation:
I really need help with this
Answer:
Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!
Step-by-step explanation:
Is this relationship proportional or non proportional
Graph the line with slope -1/2 passing through the point (-1,-2)
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]m = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (-1,2)[/tex]
Required
Graph the line
First, is to determine the equation of the line using:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
So:
[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]
[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]
[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]
Cross multiply:
[tex](y -2) * 2 = -1 * (x + 1)[/tex]
[tex](y -2) * 2 = -x -1[/tex]
Solve for y - 2
[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]
Solve for y
[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]
[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]
[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]
The above equation will then be plotted on the graph (See attachment)
In 32 days, a person saved $56. What was the person's average daily savings?
Answer: $ 1792
Step-by-step explanation: