Answers
Let's focus on f(x) = |x| for now.
Recall that the absolute value of any number is never negative.
Some examples: |-7| = 7 and |5| = 5
So as x gets bigger in the positive direction, so does y. That explains the notation [tex]x \to \infty, \ f(x) \to \infty[/tex]. Informally, we can say "the graph rises to the right".
Similarly, we have [tex]x \to -\infty, \ f(x) \to \infty[/tex] which means it "rises to the left". Both endpoints rise to positive infinity. The left side of the graph goes up forever because again the result of any absolute value function is never negative. So if we plug in say negative a million, then the result is positive a million. In a sense, the V shape absolute value function is almost like a parabola. Both have the exact same end behavior on both sides.
---------------------------------------------------------------------------------------
Now let's move onto g(x) = 2x^2+4
The only thing that matters when determining the end behavior is the leading term. The leading term here is 2x^2
The even exponent means the endpoints either A) go up together or B) go down together. We go with case A because the leading coefficient is positive. Like I mentioned earlier, this parabola mimics the V shaped absolute value graph in terms of the end behaviors being the same.
---------------------------------------------------------------------------------------
Lastly, let's focus on h(y) = 3y^4-2
I'm not sure why your teacher is using y when the others were using x. I'll just swap y for x to get h(x) = 3x^4-2
Like the g(x) function, the largest exponent is even, so the left and right end behaviors go in the same direction. The positive leading coefficient means we have the endpoints going upward toward positive infinity.
Related Questions
Write equation for the line with a slope "undefined" and has the same x-intercept as x−y−1=0
Answers
Answer:
Step-by-step explanation:
Lines with undefined slopes are perfectly vertical, of the form "x = ". A line with "the same x-intercept" as the given line that has an undefined slope will be the line that we want. I know that sounds confusing; we'll work through it then I'll explain it better. In order to find the x-intercep of the given line, solving it for y will make it a bit easier to "see". Therefore,
-y = -x + 1 and
y = x - 1. The x-intercept exists when y = 0, so setting y equal to 0 and solving for x:
0 = x - 1 and
1 = x. That's the x-intercept. It's also the line that we want that has an undefined slope, because "x = " lines are lines vertical lines and vertical lines have undefined slopes.
x = 1 is the line you want.
Score on last try: 0 of 8 pts. See Details for more.
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Five cards are drawn randomly from a standard deck of 52 cards
Determine the probability that exactly 3 of these cards are Aces. Write your answer in decimal form, rounded to 5 decimal
places
Answer
Answers
Answer:
there are 4 aces in the deck of 52 cards
so the probability to draw one ace is 4/52
if we draw an ace, there are 3 left in 51 cards.
so the next probability will be 3/51
we need to multiply probabilities to know how likely it is that this happens in a row.
for three in a row that's
[tex] \frac{4}{52} \times \frac{3}{51} \times \frac{2}{50} [/tex]
rewritten its:
[tex] \frac{4 \times 3 \times 2}{52 \times 51 \times 50} [/tex]
we'll see soon why this is easier to write.
we also have to account for the two cards that are no aces. it doesn't matter if the first two cards are no aces, the last two, or any rodney. just the ammount of non-aces is important.
there are 48 non-aces in the deck.
so the probability to draw one of them in the first step is 48/52.
wich each draw the number of cards left in the deck decreases by 1. and depending what we draw, that ammount also decreases.
we draw 5 cards, so we know what the denominators will be. the numerator will be the rest-ammounts of each event, like shown in the complicated fraction above.
let's write it most easily as this:
[tex] \frac{4 \times 3 \times 2 \times 48 \times 47}{52 \times 51 \times 50 \times 49 \times 48} [/tex]
this scenario looks like it only describes 3 aces, then two non-aces, but the order of multiplication isn't important. you could put the 48 and 47 to the left, same solution. so this expression represents all permutations of "3 aces when drawing 5 cards", including the two cards that are not aces.
that's why writing it as one convoluted fraction is indeed better and simpler than many fraction multiplied in row.
time to grap a calculator.
our probability for the event is
54144 possible valid outcomes out of
311875200 possible combinations.
luckily the calculator can reduce that to a simpler form of
[tex] \frac{47}{270725} [/tex]
(reduced with 2^6*3^, big number, but tried it out by hand stacking up prime factors until hittinga prime in the numerator)
written as a readable kind of number you probably know and like it's
0.0001736079047
in decimal form. now rounded as asked for:
0.00017
(as percentage: 0.017%)
hope the way how we got here is somewhat clear. feel free to ask any questions.
kind regards
Alex
PLZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPP MEEEEEEEEEE
Mariam makes $50 a week.
a) Show this relationship in a graph below. Try make graph or jus label the numbers
b) What is the unit rate of the line in the equation?
c) What is the connection between the unit rate and the amount of money Mariam makes per week?
d) Write the equation for this relationship.
e) Is this a proportional relationship? Justify your answer.
Answers
Answer:
b
Step-by-step explanation:
what is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)?
Answers
Answer:
Step-by-step explanation:
E(-1,6) & F(-2,-10)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\ \ \ \ = \frac{-10-6}{-2-[-1]}\\[/tex]
[tex]=\frac{-10-6}{-2+1}\\\\=\frac{-16}{-1}\\\\= 16[/tex]
Slope of the line perpendicular to this line = -1/m = -1/16
What is 5^-3?
Please I really need someone to explain to me what do you do when there is a negative sign in the exponent. Thank you :)
Answers
You take out the negative and do the regular equation but turn it into the fraction with one as the numerator and the solution of the exponent as the denominator.
Answer: 1/125 or 0.008 (simplify 1.125 or should I do it?)
Step-by-step explanation:
Well, when there is a negative sign in the exponent you only move the negative exponents. Moving only negative exponents is recommended because using this rule, you multiply two exponents with the same base and add their powers.
What is the measure of AngleCAB?
Answers
Answer:
52
Step-by-step explanation:
answer is in photo above
Answer:
52
Step-by-step explanation:
step-by-step explanation is a c and b is 52
The brain volumes (cm^3) of 50 brains vary from a low of 914 cm^3 to a high of 1492 cm^3. Use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 186.4 cm^3, assuming the estimate is accurate if it is within 15 cm^3.
Answers
Answer:
[tex]X= 19.6 cm3[/tex]
Therefore
X is not Accurate as it Falls outside of the Volume 15cm^3
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=50[/tex]
Volume Range [tex]\triangle V= 914 cm^3 to 1492cm^3[/tex]
Exact standard deviation [tex]\sigma_E 186.4 cm^3,[/tex]
Generally the equation for range rule of thumb is mathematically given by
Where
[tex]\triangle V=1492cm^3- 914 cm^3[/tex]
[tex]\triangle V=578cm^2[/tex]
Therefore
Estimate Standard deviation
[tex]\sigma_e=\frac{578}{4}[/tex]
[tex]\sigma_e=144.5cm^3[/tex]
Since
Exact standard deviation is 186.4 cm^3
Comparing
[tex]X=\sigma_E- \sigma_e[/tex]
[tex]X= ( 164.1-144.5 ) cm3[/tex]
[tex]X= 19.6 cm3[/tex]
Therefore
X is not Accurate as is Falls outside of the Hallmark 15cm^3
Can someone please help me?
Answers
Answer:
y=3^(x-2) + 1
Step-by-step explanation:
When dealing with graphs I always use a graphing calculator or Desmos to graph and double check my answers especially when doing translations!
3y - 2x = 9
2y - 2x = 7
Answers
Step-by-step explanation:
there is your answer in attachment
Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the games to work on both devices with a standard aspect ratio and those with widescreen aspect ratios, the playable area of the games should have an aspect ratio of 3:2. This means that the width is equal to times the height. On one type of tablet, the playable area of the game on the screen is 54 square inches. Write and solve a system of equations to determine the dimensions of the playable area. A. The playable area has a width of 13.5 inches and a height of 9 inches. B. The playable area has a width of 6 inches and a height of 9 inches. C. The playable area has a width of 6 inches and a height of 4 inches. D. The playable area has a width of 9 inches and a height of 6 inches.
Answers
Answer:
The playable area has a width of 9 inches and a height of 6 inches.
Step-by-step explanation:
There are a number of ways you can get there.
1. Check the answers to see which have the right area and aspect ratio.
A: area = 24 in² — does not match 54 in²
B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio
C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement
D: area = 121.5 in² — does not match 54 in²
2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.
3. You can write equations for width and height and solve.
w/h = 3/2
wh = 54
Substituting w=3/2·h into the second equation gives
... (3/2)h·h = 54
... h² = 36 . . . . . multiply by 2/3
... h = √36 = 6 . . . . square root, result in inches
Answer:
D. The playable area has a width of 9 inches and a height of 6 inches.
Step-by-step explanation:
if the playable area is 54 and that such ratio of dimensions is 3:2
Then we are basically being asked to find the factor of ratios below that also multiply to get 54
54 = 9 x 6 and this is also a ratio of 3:2
As 3(3 + 2) = 54
and as width was asked first when ratio was given 3:2
The width therefore is 9 and the height is 6
So answer is D
1a. If an escape room party
has 16 participants and 4
escape puzzles:
• How many staff are
needed?
• Write an expression to
solve how many staff
are needed.
Answers
Answer:
2 staff members
Step-by-step explanation:
Given
See attachment for missing details
Let
[tex]s \to staff\ member[/tex]
[tex]p \to participant[/tex]
[tex]e \to puzzle[/tex]
Required
Staff members for 18 participants
From the attachment, we have:
[tex]1s \to 8p[/tex] ---- 1 staff member to 8 participants
[tex]s \to 8p[/tex]
Multiply both sides by 1
[tex]s * 2 \to 8p * 2[/tex]
[tex]2s \to 16p[/tex]
This means that 2 staff members are required for 16 participants
Find angle X in the angle diagram.
Answers
Answer:
80*
Step-by-step explanation:
Angle x + 80* add up to the vertical angle of 160*
So, 160* = x + 80*
80* = x
Answer:
80°
Step-by-step explanation:
160 is vertically opposite the x and 80, which means they have the same value. This makes x+80=160.
This can be solved to x=80.
plz answer I don't have a long time
Answers
Answer: x=52
Step-by-step explanation:
x+72=34+90
x+72=124
124-72=x
x=52
Henry signed up for a streaming music service that costs $14 per month. The service allows Henry to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Henry have to pay in a month in which he downloaded 50 songs? How much would he have to pay if he downloaded s songs?
Cost for 50 songs :
Cost for s songs :
Answers
Answer:
Cost for 50 songs: $64
Cost for s songs: s + 14
Step-by-step explanation:
Since it is $1 per song, if he downloaded 50 songs, it would be $50 extra dollars.
Add this to the monthly charge of 14:
50 + 14
= 64
So, the cost of 50 songs would be $64.
Now, find the cost for downloading s songs.
Each song is $1, so the cost can be represented by s + 14.
The answer is:
Cost for 50 songs: $64
Cost for s songs: s + 14
Select the correct answer.
On the curve y= x^2+ 1 point Q has the coordinates (1.3.2.69). Estimate the slope of the curve at point Q by taking values very close to the x-
coordinate of Q.
OA 2.5
OB. 2.6
OC. 3.3
OD 5.2
Answers
Answer:
I think No B
if wrong correct me pls
have a great day
WILL MARK BRAINLIEST TO THE FIRST PERSON OR WHO IS RIGHT!!!!
The work of a student to solve a set of equations is shown:
Equation 1: m = 8 + 2n
Equation 2: 6m = 4 + 4n
Step 1: −6(m) = −6(8 + 2n) [Equation 1 is multiplied by −6.]
6m = 4 + 4n [Equation 2]
Step 2: −6m = −48 − 12n [Equation 1 in Step 1 is simplified.]
6m = 4 + 4n [Equation 2]
Step 3: −6m + 6m = −48 − 12n + 4n [Equations in Step 2 are added.]
Step 4: 0 = −48 − 8n
Step 5: n = −6
In which step did the student first make an error?
Step 3
Step 5
Step 4
Step 2
Answers
Answer:
Step 3
Step-by-step explanation:
Step 3 should be:
−6m + 6m = −48 − 12n + 4n + 4
9514 1404 393
Answer:
Step 3
Step-by-step explanation:
When the equations are added in step 3, the result should be ...
-6m +6m = -48 -12n +4 +4n
In the work shown, the (+4) was left out in Step 3.
__
When the work is properly continued, it becomes ...
Step 4: 0 = -44 -8n . . . . [step 3 is simplified]
Step 5: n = -5.5 . . . . . . . [step 4 is divided by -8 and 5.5 subtracted]
Step 6: m = -3 . . . . . . . . . [n is substituted into Equation 1]
And the solution is (m, n) = (-3, -5.5).
On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.
170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 806
1. measures of central tendency do not exist for this data set?
a. Mean
b. Median
c. Mode
d. None of these measures
2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply.
Answers
Answer:
1.d. None of these measures (do not exist interpreted as all of these exist)
2.The mean is increased from 346.8 to 361.32
Step-by-step explanation:
After calculations we find that all the measures of central tendency exist for this data. The mean , median and mode can be easily calculated .
The mean is 346.8
The mode is 281
The median is 316
Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. The mean would be affected by the change.
The mean is 361.32
The mode is 281
The median is 316
The mean is increased from 346.8 to 361.32
HW HELP ASAP PLZZZZZ
Answers
Hello,
3x³a + 3x²a²
⇒ common factor : 3x²a
3x³a + 3x²a²
= 3x²a * x + 3x²a * a
= 3x²a(x + a)
:-)
Step-by-step explanation:
hope this will help you more
A statistics teacher found that the average quiz score in her class is 86%, and the average test score in her class is 81%.
Which of the following is the best way to represent this data?
A. using a bar graph where one has a length of 86 units and one bar has a length of 81 units
B. using a square with a side length of 86 units and a square with a side length of 81 units
C. using a pie chart with one section labeled 86% and one section labeled 81%
D. using a cube with a side length of 86 units and a cube with a side length of 81 units
Answers
Answer:
A. using a bar graph where one has a length of 86 units and one bar has a length of 81 units
Step-by-step explanation:
Took the quiz. The usual.
The optimal method to represent this data is with a "bar graph", with one bar 86 units long and the other 81 units long. which is the correct answer that would be an option (A).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The best way to represent this data is using a "bar graph" where one bar has a length of 86 units and one bar has a length of 81 units.
This is because a bar graph is used to compare the sizes of different data points, and the length of each bar represents the value of the data point.
In this case, the average quiz score is 86% and the average test score is 81%, so the length of the bar representing the quiz score would be longer than the length of the bar representing the test score.
Thus, Option A correctly describes the use of a bar graph to represent the data, so it is the correct answer.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
plz help worth 50 points
Answers
Answer:
The answer is A
Step-by-step explanation:
Starting from -3 in the Y values of option A. If you subtract three from each value, you will get the next value to the right.
-3 minus -3 = -6-6 minus -6 = -9
Answer:
Someone already answered it but I won't let 50 points go to waste. !!!!!
Step-by-step explanation:
Same just bought 9 bags of 13 cookies in a jar. How many cookies does Sam have now?
Answers
Answer:
123 cookies
Step-by-step explanation:
He got 9*13 cookies, and had 6 already, so 9*13 + 6
9*13 = 117, plus 6 is 123
Sam has 9 bags of 13 cookies, so you would multiply 9 by 13. He has 117 cookies in bags. He also has 6 cookies in a jar, so you would add those to his total.
Hope this helps!
20. The H.M. between 2 and 8 is
(1 marks )
Answers
Answer as an improper fraction = 16/5
Answer as a mixed number = 3 & 1/5
Answer in decimal form = 3.2
All of those values represent the same thing, but written in a different way.
=============================================================
Explanation:
I'm assuming HM stands for Harmonic Mean in this case.
If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).
Add up those fractions:
1/2 + 1/8 = 4/8 + 1/8 = 5/8
Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.
n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction
-----------
To convert to a mixed number, we can do the following:
16/5 = (15+1)/5
16/5 = 15/5 + 1/5
16/5 = 3 + 1/5
16/5 = 3 & 1/5
Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2
which equation represents the graphed function
A. y=4x-2
B. y=-4x-2
C. y=1/4x-2
D. -1/4x-2
Answers
Slope= y2-y1/x2-x1
Slope = -2-(-1)/0-4 = -1/-4 = 1/4
Slope = 1/4x
So the answer should be C
If $25,000 is borrowed with an interest of 8.0% compounded annually, what is the total amount of money needed to pay it
back in 10 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answers
Answer:
[tex] \frac{8}{?100} \times 25000[/tex]
=2000
365×10=3650
2000×3650=7300000
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$25000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=25000\left(1+\frac{0.08}{1}\right)^{1\cdot 10}\implies A=25000(1.08)^{10}\implies A\approx 53973.12[/tex]
A student uses the ratio of 4 oranges to 6 fluid ounces to
find the number of oranges needed to make 24 fluid
ounces of juice. The student writes this proportion:
4 24
616
Explain the error in the student's work.
Answers
A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes the proportion:4/6=24/16
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 70 and standard deviation 3. (Rockwell hardness is measured on a continuous scale.)a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?b. If the acceptable range of hardness is (70-c, 70+c) , for what value of c would 95% of all specimens have acceptable hardness?c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than73.84? [Hint: Y = the number among the ten specimens with hardness less than 73.84 is a binomial variable; what is p?]
Answers
Answer:
a) The probability that a randomly chosen specimen has an acceptable hardness is 0.7938.
b) If the acceptable range of hardness is (70-c, 70+c), then the value of c would 95% of all specimens have an acceptable hardness of 5.88.
c) Expected number of acceptable specimens among the ten is 7.938.
d) Binomial with n = 10 and p = P(X < 73.84)
[tex]p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635[/tex]
Step-by-step explanation:
a )
[tex]P(67 < X< 75) = P( (67 - 70) / 3 < X < (75 - 70) / 3 )\\\\= P( - 1 < Z < 1.67) = 0.9525 - 0.1587 = 0.7938[/tex]
b )
[tex]c = 1.96 * 3 = 5.88[/tex] { Since Z = 1.96 for 95% CI refer table.}
c )
Expected number of acceptable specimens among the ten [tex]= 10 * P(67 < X< 75) \\\\= 10 * 0.7938 = 7.938[/tex]
d )
Binomial with n = 10 and p = P(X < 73.84)
[tex]p = P(Z <(73.84 - 70) / 3 ) = P(Z < 1.28) = 0.8997\\\\P(X <= 8) = 1 - P(X = 9) - P(X = 10)\\= 0.2650635[/tex]
At midday the temperature in Moscow was 7°C.
At midnight it was -3°C.
By how many degrees did the temperature fall?
Answers
Answer:
10 degrees C
Step-by-step explanation:
the difference between both temperatures is expressed by a subtraction
7 - -3 = 7 + 3 = 10
you could also do the subtraction the other way around :
-3 - 7 = -10
but the negative sign has no meaning for a distance between two points (a distance itself has no direction).
so, we are always using the absolute value of such difference calculations (when it is about lengths, distances, and so on, where the direction had no meaning).
and so, also the -10 is actually simply 10 for our problem here.
the temperature fell by 10 degrees.
Which equation can be simplified to find the inverse of y = 2x2
Answers
Answer: d
Step-by-step explanation:
edge 2020
I don't know how to do this
Answers
Answer:
Step-by-step explanation:
yeah
4,8,12,16,20,
I need about 2 of these but pls explain so I can learn and try on my own pls
Answers
These problems are based on the Pythagorean Theorem. The Pythagorean Theorem is a^2 + b^2 = c^2. If the two sides are equal, the triangle is a right triangle. If c^2 is less, the triangle is acute. If c^2 is more, the triangle is obtuse.
Obtuse: c^2 > a^2 + b^2
Acute: c^2 < a^2 + b^2
Right: c^2 = a^2 + b^2
#7 --- Obtuse
21^2 ___ 8^2 + 15^2
441 ___ 64 + 225
441 > 289
#8 --- Right
20^2 ___ 12^2 + 16^2
400 ___ 144 + 256
400 = 400
#9 --- Acute
6^2 ___ 4^2 + 5^2
36 ___ 16 + 25
36 < 41
Hope this helps!