What key features do the functions f(x) = 12x and g of x equals the square root of x minus 12 end root have in common?
1-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions have an x-intercept in common.
2- Both f(x) and g(x) include domain values of [12, ∞) and range values of [0, ∞), and both functions have a y-intercept in common.
3-Both f(x) and g(x) include domain values of [-12, ∞) and range values of (-∞, ∞), and both functions increase over the interval (-6, 0).
4-Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).
Using the domain and the range of the function, it is found that the correct option is given by:
4- Both f(x) and g(x) include domain values of [12, ∞), and both functions increase over the interval (12, ∞).
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.Function f(x) is defined by: f(x) = 12x.
Line with positive slope, hence it is increasing all over it's domain.Range is all real values.No restriction, hence the domain is also all real values.Function g(x) is defined by: [tex]g(x) = \sqrt{x - 12}[/tex]
The square root function increases over all it's domain.The range is [tex](0, \infty)[/tex].The term inside the root cannot be negative, hence the domain is [12, ∞), which is contained into the domain of f(x).This means that option 4 is correct.
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If m<5=53º and m∠7=125º, find the measures of each numbered angle.
m<1=
m<2=
m<3=
m<4=
m<6=
#5 = 53° #7 = 125° #6 = 55° #2 = 72° #3 = 55° #1 = 53° #4 = 127°
triangle = 180°
alternating interior angles are the same (#6 & #3 and #5 and #1)
#3 and #7 should equal 180°
#1 and #4 should also equal 180°
#6 and #7 should equal 180°
#4 and #5 should equal 180°
This sphere has a radius of 9 m. What is the surface area of the sphere? Enter your answer, in exact form, in the box
[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies SA=4\pi (9)^2\implies SA=324\pi[/tex]
4) What is 15% of 22?
A) 3
B) 3.3
C) 30
D) 33
Answer: 3.3
Step-by-step explanation: Find the calculation in the picture
The price of a game console that regularly sells for $800 is reduced to $616. By what percentage is the price reduced?
Answer:23%
Step-by-step explanation: 800-616= 184
Discount is 184
percentage is 184/800 ×100/1 =23%
a funnel is in the shape of a cone with a radius of 4 inches and a height of 10 inches.
a. find the volume of the funnel. Round your answer to the nearest 10th
b. the funnel is filled with oil. how many quarts of oil are in the funnel? (1 qt = 58in ^3.) round to the nearest tenth
Answer:
A. 167.4
B. I don't know but I hope this helps :)
Step-by-step explanation:
the formula for volume of a funnel is:
V= 1/3 pi r^2 h
if we plug in the given values we are left with:
V= 1/3 (pi) 4^2 (10)
using 3.14 for pi, we get the answer:
V= 167.4
A researcher is interested in whether blind Braille readers could be taught to read faster using the same techniques as sighted readers. He has blind adults complete a reading speed test before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 121 blind Braille readers scored an average of 261 words per minute on the reading speed test. Since the sample size is larger than 30, the researcher can assume that the sampling distribution of MD is normal. He plans to use a repeated-measures t test. The researcher identifies the null and alternative hypotheses as:
When placed near each other, blocks of metal A and B are magnetically attracted to each other, while blocks B and Care repelled by
each other.
Therefore, blocks A and C will be
A)
repelled by each other.
B)
attracted to each other.
C)
unaffected by each other.
D)
Not enough information given
Answer:
A) repelled by each other, I did this on usa testprep
Step-by-step explanation:
Answer:
b atracted to each other
Step-by-step explanation:
got it right on usatestprep
The circumference of a circle is 71 in. Find its radius, in inches.
Answer: r = 11.3
Step-by-step explanation:
In order to find the radius given circumfrence we use the following formula
[tex]r=\frac{C}{2*\pi }[/tex]
[tex]r=\frac{71}{2*3.14 }[/tex]
r = 11.3
what's the answer for 2/3+x=4
Step-by-step explanation:
what is the problem for you ?
to solve an equation ?
or to deal with fractions and how to relate them to whole numbers (e.g. how to convert whole numbers into fractions) ?
if you need any additional information, please let me know.
I am just solving the equation now :
2/3 + x = 4
x = 4 - 2/3 = 12/3 - 2/3 = 10/3 = 3 1/3
Answer:
Step-by-step explanation:
x = 4 - 2/3
x = 3 3/3 - 2/3
x = 3 1/3
Consider the equation 4 plus v equals 8 minus startfraction 5 over 3 endfraction v.v 4 startfraction 5 over 3 endfraction v plus 4 equals 8 minus startfraction 1 over 3 endfraction v. v = 8. what is the resulting equation after the first step in the solution? v 4 = 8 – v startfraction 4 over 3 endfraction v plus 4 equals 8.v 4 = 8 4 v = 8 – 4 plus v equals 8 minus startfraction 5 over 3 endfraction v.v 2v 4 = 8
The resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.
What is an algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants. The algebraic expression is used to represent the general problem in the mathematical way to solve them.
Consider the following equation,
[tex]\dfrac{5}{3}v +4+\dfrac{1}{3}v=8[/tex]
To solve this equation, first we have to arrange the similar terms one side of the equation as,
[tex]\dfrac{5}{3}v+\dfrac{1}{3}v +4=8[/tex]
Solve it further by taking LCM,
[tex]\dfrac{5+1}{3}v +4=8\\\dfrac{6}{3}v+4=8\\2v +4=8\\[/tex]
Hence, the resulting equation which is obtained after the first step in the solution of the provided equation is 2v +4=8.
Learn more about the algebraic expression here;
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Answer:
c on edge
Step-by-step explanation:
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Write each expression using exponents:
4*4*4*4*4
Answer:4^6
Step-by-step explanation:
The number of times a term is multiplied is the exponent you use.
In this problem
4 is multiplied 6 times.
Therefore: 4*4*4*4*4*4=4^6
do you know the answer to this question 4x16+3-1
Answer:
66
Step-by-step explanation:
use
P- parenthesis
E- Exponents
M-multiplication
D-Division
A- addition
S- subtraction
NOTE THAT MULTIPLICATION IS NOT MORE IMPORTANT THAN DIVISION AND SAME GOES FOR ADDITION AND SUBTRACTION.
This means that that we do it from left yo right
4×16+3-1 --> 64+3-1 --> 67-1 = 66
[tex]3^x - ^2 = 3^7[/tex](05.01 MC) Solve 3x − 2 = 37.
Answer:
x=㏒3(2189)
Step-by-step explanation:
Of the 4 people attending a lecture, 2 have hazel eyes.
What is the probability that a randomly selected person will have hazel eyes?
Write your answer as a fraction or whole number.
Answer: 50%
Step-by-step explanation:
Because 2 of four is half, that that the probability is a 50% chance.
Answer:
1/2
Step-by-step explanation:
Think of this like a pizza or pie:
If there are four slices and two represent hazel eyes, how many slices are "hazel eyes?" It would be 2 of 4, or 2/4.
Because this is a fraction and it can be simplified, it would be 1/2.
So there is a 50% chance that the randomly selected person of the four people will have hazel eyes.
Please help and match the following. Pt2
Answer:
the first one will be B) x^2-4x+4
the sencond one will be A) x^2-16
the third one will be C) x^2+x-2
the fourth one will be D) -2x^3+4x^2+16x
Step-by-step explanation:
hope this helps now i gotta really go :)
PLS HELP MEEE I REALLY NEED HELP
a) 24.92
b) 65.616
c) 66.43
d) 6.13
e) 25.0862
f) 4.95
WILL GIVE BRAINIEST
in this equation 3x=n, John claims that for any value for x, the value of n will always be greater than or equal to the base of 3
A.2
3^2 = 9
(any number greater than one because 3^1 = 3, this is not greater than 3)
B. 0
3^0 = 1
(any number less than 1, so it can't be one, but can be a negative number or zero - any number to the power of zero is one)
Hope this helps!
The ages of the people in attendance at the showing of an award-winning foreign film are shown below. a graph shows age of attendees (in years) labeled 0 to 20 thru 61 to 80 on the horizontal axis and frequency on the vertical axis. 0 to 20 years at frequency 15. 20 to 40 years at frequency 40. 41 to 60 years at frequency 40. 61 to 80 years at frequency 15. which statement must be true according to the histogram? the data is symmetrical, showing that the majority of the attendees were between the ages of 30 and 50. the data is symmetrical, showing that the majority of the attendees were between the ages of 21 and 60. the data is skewed, showing that the majority of the attendees were between the ages of 30 and 50. the data is skewed, showing that the majority of the attendees were between the ages of 21 and 60.
Answer:
B
Step-by-step explanation:
i got it right on edge
Answer:
It is B
Step-by-step explanation:
Need help, see photo below.
Answer:
The correct answer would be option 2; Regular Hexagon
Hope this helps!
Sue says the expressions for 4y and y⁴ are Equivalent when y = 5. Is She Correct? Please Justify Your Answer.
Answer:
Sue is incorrect
Step-by-step explanation:
Just substitute in the values[tex]4\times 5=20\\5^{4}=625[/tex]Since 20 does NOT equal 625, Sue is incorrectFind the volume will give brainliest to whoever answers correctly
Answer:
Vol = 252 cubic ft
Step-by-step explanation:
Consider the bottom and top of the shape separately. Calculate the volumes and add them together.
Bottom of the shape is a prism. Volume of a prism:
V =
Base Area•Height
The base is a triangle. Use Area of a triangle formula:
A = 1/2b•h
A = 1/2(7)(6)
A = 21
Use 21 for Base Area for both parts of the volume calculation.
Vol of prism, continued:
V = 21•9
V = 189
Volume of a pyramid (top)
V = 1/3•BaseArea•Ht
=1/3(21)(9)
=63
Total Volume=
189 + 63
= 252 cubic ft
The circumference of a circle is 6π cm. What is the area, in square centimeters?
Answer:
9Pi square units
Step-by-step explanation:
Area = Pi x Radius^2
Diameter = Circumference / Pi
= 6Pi / Pi
= 6
Radius = Diameter / 2
= 6 / 2
= 3
Area = Pi x 3^2
Hope this helps!!
Emily and Jennifer are playing a game with dice. Each one has a die. If each one rolls one and the sum of the numbers are 7 or 11 they win. If the sum is 2, 3 or 12 they lose. If it is any other number there is no winner or loser.
Find the sample space by either creating a tree or a chart/table. (remember, each die has the numbers 1-6 on it).
Then find:
P (they win - if the sum is 7 or 11)
P (they lose - if the sum is 2, 3 or 12)
The total sample space. HINT: How many total possible combinations?
This experiment has 36 possible combinations, and we will see that:
P(they win) = 0.22P(they loose) = 0.11How to get the probabilities?
First, we need to find the total number of outcomes.
We have two dice with 6 outcomes each, so the total number of outcomes of the experiment of tossing the two dice is:
C = 6*6 = 36
Such that the sample space is all the numbers between 2 and 12 (because our variable is the sum of the two values).
Now, to get the probability of winning we need to count the number of outcomes that add to 7 or 11, these are:
(Add to 7)
dice 1 dice 2
1 6
2 5
6 1
5 2
4 3
3 4
(Add to 11)
dice 1 dice 2
5 6
6 5
So there are 8 outcomes, then the probability of winning is:
P = 8/36 =0.22
The probability of losing is when the sum adds to 2, 3, or 12.
The outcomes that add to that:
(Add to 2)
dice 1 dice 2
1 1
(Add to 3)
dice 1 dice 2
1 2
2 1
(Add to 12)
dice 1 dice 2
6 6
There are 4 outcomes that add to these values, so the probability of losing is:
P = 4/36 = 0.11
If you want to learn more about probability, you can read:
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If a baseball card appreciates exponentially in value by 50% over 10 years, what is its annual appreciation (growth) rate? Please use a calculator, and answer to the nearest whole percent.
we can use hmmm any value per se for the card, hmmm say let's use $2, if the baseball card was initially 2 bucks, and after 10 years it went up in value by 50%, well 50% of 2 is 1, so the new value is 3 bucks, then
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &3\\ P=\textit{initial amount}\dotfill &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &10\\ \end{cases} \\\\\\ 3=2(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(1 + \frac{r}{100})^{10}\implies \cfrac{3}{2}=(\frac{100+r}{100})^{10} \\\\\\ \sqrt[10]{\cfrac{3}{2}}=\cfrac{100+r}{100}\implies 100\sqrt[10]{\cfrac{3}{2}}=100+r \\\\\\ 100\sqrt[10]{\cfrac{3}{2}}-100=r\implies 4\approx r[/tex]
How does the volume of a cylinder with a radius of 3 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units?
a. The volume of the cylinder is greater than the the volume of the prism
b. The volume of the cylinder is smaller than the volume of the prism.
C. The volume of the cylinder is the same as the volume of the prism
d.You cannot compare the volumes of different shapes
Answer:
The volume of the cylinder is greater than the volume of the prism.
Step-by-step explanation:
The Volume of a cylinder is given as:
= πr²h
Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:
= πr²h
=3.14 × 3² × 12
=339.12
The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:
= Length × Width × Height
Based on the calculation, the volume of the cylinder is greater than the volume of the prism.
Answer:
B: The volume of the cylinder is smaller than the volume of the prism.
Step-by-step explanation:
In order to find the volume of the cylinder, we would use to formula [tex]\pi r^{2} h[/tex]. Substitute the given measures of the cylinder to get [tex]\pi[/tex]·3²·12. The simplified and calculated form would be 108 units cubed.
Now, we find the volume of the rectangular prism, which is [tex]l[/tex]·[tex]w[/tex]·[tex]h[/tex], or 16*16*9. This means the volume is 2304 units cubed.
Therefore, since 2304 un³>108 un³, answer choice b would be correct.
Ethan donated $15.00 of the $50.00 he received as a gift.
Which decimal represents the fraction of $50.00 Ethan
donated?
A. 0.15
B. 0.3
C. 0.35
D. 0.5
(WILL MARK BRAINLIEST*
Answer:
0.3
Step-by-step explanation:
15/50=0.3
OR
(15*2)/(50*2)
30/100=0.3
Which accounting principle states that a business and its owner are to be treated as separate legal entities
the economic entity concept
Answer:
economic entity principle
Step-by-step explanation:
A store is selling a green rug for $54.50 and a white rug for $31.85. the green rug is marked down by 12%, and the white rug is marked up by 16%. after the markup and markdown, which rug is more expensive, and how much more expensive is it? round all dollar values to the nearest cent. a. the white rug is $1.09 more expensive than the green rug. b. the white rug is $5.35 more expensive than the green rug. c. the green rug is $1.44 more expensive than the white rug. d. the green rug is $11.01 more expensive than the white rug.
The a seer to the more expensive rug is; D: the green rug is $11.01 more expensive than the white rug.
How to calculate mark up and mark down?We are told that;
Current cost of Green rug = $54.50
Current cost of White rug = $31.85
Now the store wants to mark down the green rug by 12%. Thus;
New price of green rug = (100% - 12%) × 54.5
New price of green rug = $47.96
Now the store wants to mark up the white rug by 16%. Thus;
New price of white rug = (100% + 16%) × 31.85
New price of green rug = $36.95
Difference in New prices = $47.96 - $36.95
Difference in New prices = $11.01
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