Answers
Answer:
I believe [tex]\lim_{x \to a} f(x)[/tex] also equals 0.
Step-by-step explanation:
We know that g(x) has to be greater than or equal to 0. That means f(x) has to be smaller than g(x) or equal to 0.
If we plug in any value of x, f(x) will be positive because of the absolute value. The only way we are going to get f(x) smaller than g(x) or equal to g(x) is to have very small fractions.
Therefore, if [tex]\lim_{x \to a} g(x)=0[/tex], then [tex]\lim_{x \to a} f(x)=0[/tex] because f(x) must be smaller or equal to 0 as well.
Answer:
[tex]\displaystyle{ \lim_{x\to a}f(x)=0[/tex]
Step-by-step explanation:
The other user posted a great answer, but I would like to show you a more mathematical way!
We have [tex]|f(x)|\leq g(x)[/tex].
By the definition of absolute value, this is the same as saying:
[tex]f(x)\leq g(x)\text{ and } -f(x)\leq g(x)[/tex]
For the right, we can divide both sides by -1 to acquire:
[tex]f(x)\leq g(x)\text{ and } f(x)\geq- g(x)[/tex]
We can now combine them. This yields:
[tex]-g(x)\leq f(x)\leq g(x)[/tex]
Now, we can use the Squeeze Theorem (a.k.a. Pinch or Sandwich Theorem). The Squeeze Theorem posits that if we have:
[tex]g(x)\leq f(x)\leq h(x)[/tex]
And:
[tex]\displaystyle{ \lim_{x \to c} g(x)= \lim_{x \to c} h(x)=L}[/tex]
Then the following must be true:
[tex]\displaystyle{ \lim_{x \to c} f(x)=L[/tex]
We have:
[tex]-g(x)\leq f(x)\leq g(x)[/tex]
And we know that:
[tex]\displaystyle{ \lim_{x \to a} g(x)=0[/tex]
Then it follows that:
[tex]\displaystyle{ \lim_{x \to a} -g(x)=- \lim_{x \to a} g(x)=0[/tex]
Therefore, by using the Squeeze Theorem, we can conclude that:
[tex]\displaystyle{ \lim_{x\to a}f(x)=0[/tex]
And we're done!
Related Questions
Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?
270 degree rotation about point 0 composition. Translation of negative 2 units x, 0 units y.
Translation of negative 2 units x, 0 units y composition 270 degree rotate about point 0.
270 degree rotation about point 0 composition reflected across the y-axis
Reflected across the y-axis composition 270 degree rotation about point 0.
Answers
Answer:
270 degree rotation about point 0 composition .translations of negative 2 units
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Took the test
list four advantages and disadvantages of measures of location
Answers
Step-by-step explanation:
Advantages of using measures of dispersion are that it gives us a better idea of the range in which an average was calculated and it is easy to calculate and understand. A disadvantage of using measures of dispersion is that it is a broad measurement because it only shows the maximum and minimum values of data.
Mathematics question in my homework
2x+1=4
x=?
Answers
Answer:
x = 3/2
Step-by-step explanation:
2x = 4-1
2x = 3
x = 3/2
hope it will be helpfull
Tracy plans to serve punch along with the chicken wings. According to her calculations, two times the amount of punch needed is more than 4 liters. Write an inequality for y, the amount of punch needed to serve at Tracy’s party.
Answers
Answer:
word problems are pretty tricky
Step-by-step explanation:
y= punch
2*y > 4 Liters
y >2 Liters
Answer:2y>4
Step-by-step explanation:
Two times the amount of punch needed =2y. Because this amount must be greater than 4 liters, the inequality is given by 2y>4
An ordered pair that satisfies all the equations in a linear system of equations is called a(n) __________ of the linear system.
Answers
Answer:solution
Step-by-step explanation:
An ordered pair that satisfies all the equations in a linear system of equations is called a: solution of the linear system.
A linear function is a function that has a positive relationship between its variables.
Hence, an increase in one variable (input variable) causes an increase in the other variable (output variable) because the variables are directly proportional.
Mathematically, the graph of a linear function is a straight-line and its slope is always constant.
On a related note, a linear system of equation is an algebraic equation of the first order with two variables and each of its term having an exponent of one.
Generally, a system of linear equations in two variables must have at least two solution.
In conclusion, a solution of the linear system is an ordered pair that satisfies all the equations in a linear system of equations.
Read more: https://brainly.com/question/24085666
Determine which of the values is a solution of 17 - 2x > 5.
(-10) (-4) (0) (3) (6) (10)
ILL GIVE SOMEONE THE BRAINIEST IF THEY HELP !
Answers
Answer: x ≤ 6
Solution: -10, -4, 0, 3, 6
Not a solution: 10
Plz mark brainliest:)
The answer to the inequality is [tex]x[/tex] ≤ [tex]6[/tex]
First, you must subtract 17 on both sides
[tex]-2x[/tex] ≥ [tex]-12[/tex]
Then, you must divide -2 on both sides.
[tex]x[/tex] ≥ [tex]6[/tex]
Finally, since x was changed from negative to positive using division, switch the inequality sign.
[tex]x[/tex] ≤ [tex]6[/tex]
Triangle A B C is reflected across the line of reflection m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point B prime 270 degrees to form triangle A double-prime B double-prime C double-prime.
Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?
Answers
Answer:
it is D trust me
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
the way you can figure this out is by looking at the figures and finding what transformation came first because of the number of prime notations on a letter in a figure. in this case is was ABC first then A'B'C' then A''B''C''
using that we can now determine the order of how the composition will be written. the first step of the composition is the left most part and the last part of the composition is the right most part. basicly the order is left to right.
we see that figure ABC is reflected across the line m to create the figure A'B'C' relections are written like r for the relection and the sub letter is the line the figure is reflected across to in this case it would be written as r sub m meaning that r sub m is the 2nd part of the composition.
the 2nd step in the composition is when figure A'B'C' turns into figure A''B''C'' the way we find out its transformation is determine whether it was slid or if it was rotated aroound a point of rotation. here we have a rotation. now we got to determine what the center of roation is. in this case its B'. looking at the options there is no negative -90 degrees which means that the rotation happened counter clockwise because all valuse are positive. counter clockwise is to the left. now simple math figure A'B'C 180 degrees would make it need 90 more degrees so 180+90=270 thats the degree of the roation around point B'
rotations are written as R sub point of rotation, __ degrees. in our case it is r sub B', 270 degrees. this is the second step so it will be on the right of the equation. the full equation turns out to be R sub B', 270 degrees composition of transformations r sub m.
it must be that way because if you rotated the figure first then reflected it it would look like an entirely different image.
pls give brainliest
3/5 x 1/7 please help
Answers
Answer:
3/35
Step-by-step explanation:
3*1=3
5*7=35
3/35
True or false? The value zc is a value from the standard normal distribution such that P(−zc < z < zc) = c.
Answers
Answer:
False
Step-by-step explanation:
The standard normal distribution is represented by P(-zc < z < zc) = c
From this, you see that -zc is less than the variable of interest z and z is less than zc.
The equation simply means that the probability that -zc is less than z and z is less than zc, is c.
The value zc is NOT a value from the above distribution. All values in the distribution are of the variable z. For example, z might be equal to 1, z might be equal to 6, but the variable of interest in the distribution is z, not zc.
Write the equation of the line that passes through the points (-2, -3)
and (-8,3). Put your answer in fully reduced point-slope form, unless
it is a vertical or horizontal line.
Answers
Answer:
[tex]\huge\boxed{y+3=-(x+2)}\\or\\\boxed{y-3=-(x+8)}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the given point:
(-2, -3); (-8, 3)
[tex]m=\dfrac{3-(-3)}{-8-(-2)}=\dfrac{3+3}{-8+2}=\dfrac{6}{-6}=-1\\\\\text{for}\ (-2;\ -3)\\\\y-(-3)=-1(x-(-2))\\\\y+3=-(x+2)\\\\\text{for}\ (-8;\ 3)\\\\y-3=-1(x-(-8)\\\\y-3=-(x+8)[/tex]
g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.
Answers
Answer:
Main difference between circle & ellipse
Step-by-step explanation:
Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel
Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets
Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question
Explanation:
Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not have major and minor axis length both are different.Thus we conclude that cricle is totally different from ellipse
To know more about cricle and ellipse
https://brainly.com/question/9689499
Evaluate each expression.
b)
d)
169 cm2:13x13=169 13cm by cm
2500 cm2:50x50=2500 50cm by cm
/8
a) 2 + (10 − 3) =2+(10-3)
c)
(4 + 3)2 − (3 − 1)3 =
= 2+(7)=10
=
=
11.
b) (3 + 5) × 6 ÷ 3 + (8 + 52)
d)
18 + (4 + 5)2 × 2
=
=(7)x6/3+(177)
=
=(42/30
=
=
=
=
=
Answers
Answer:
atleast 1
Step-by-step explanation:
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83¯ hour.
Who runs faster? Use the drop-down menu to show your answer.
Answers
Answer:
Ava
Step-by-step explanation:
because we multiply by 3 miles, 50 minutes, 0.83
and you get 124.5
its not maura because if you multiply 5 miles, by 1.25 hours you get 6.25
sorry if wrong! hope this helps!
Is 8.25 greater, equal or less than 8.250
Answers
Answer:
If this is basic mathematics its =
Step-by-step explanation:
You won't have to worry about sig figs until chemistry.
Chantel graphs S and T. The corresponding angles are congruent. The side lengths of T are 5 times as long as the corresponding side lengths of S. Can you give a sequence of transformations that will map S onto T?
Answers
Answer:
Turn it by 90 degrees
Step-by-step explanation:
Question is too vague sorry if this doesn't help
Answer:
fernanda i have no idea how to do this
Step-by-step explanation:
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Answers
Answer:
76.95
Step-by-step explanation:
9.5X8/1(8.1 IS THE NUMBER YOU MULTIPLY IT BY)=76.95
15 POINTS!!!
Based on a life insurance company's past data, each year an average of 1/90 policy holders
make a claim of $250; 1/100 policy holders make a claim of $12,000, and 1/400 make a claim
of $17,000. What would the insurance company have to charge per policyholder to break
even?
Answers
Answer:
1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.
2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
3. The expected profit on 375 policies would be 375 * 185 = $69375
Step-by-step explanation:
A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)
Count the number of ways in which four cards, each of a different face value, can be chosen.
ways
Answers
Answer:
17160
Step-by-step explanation:
first there are 13 options
then there are 13 - 1 that was chosen
then there are 13 - 2 that were chosen
then there are 13 - 3 that were chosen
so that's 13 options, then 12 options, then 11 options, and then 10 options
and in order to figure out all of the possibilties we mutiply the options so
13*12*11*10 = 17160
little further explaining of why this works:
we have a set of letters (3 in a set)
A B C
what are the possible combinations?
AB
AC
BC
BA
CA
CB
the answer is 6 which is also 3 * 2 * 1 = 6
HOPE THAT HELPS!1! ^_^
Using the Fundamental Counting Theorem, it is found that there are 28,561 ways in which four cards, each of a different face value, can be chosen.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, four cards are chosen, each with 13 ways, hence [tex]n_1 = n_2 = n_3 = n_4 = 13[/tex], and:
[tex]T = 13 \times 13 \times 13 \times 13 = 13^4 = 28561[/tex]
There are 28,561 ways in which four cards, each of a different face value, can be chosen.
A similar problem is given at https://brainly.com/question/19022577
A researcher conducts two studies. Each study was a one-sample z test. Both studies placed the rejection region in both tails and measured the same sample mean. The beat level in Study 1 was larger than the beta level used in Study 2. Which study is associated with greater power to detect an effect
Answers
Answer:
Study 2 will produce a greater power to detect an effect because it has a lower beta level
Step-by-step explanation:
Generally, alpha level is the probability of rejecting the null hypothesis when it's true. Whereas beta level is the opposite and it's the probability of accepting the null hypothesis even though it’s false.
Now, in statistics the lower the alpha level, the more we require a stronger evidence. Thus, a higher alpha level is usually required to produce a stronger evidence.
Now, an increase in alpha level means a decrease in beta level and a decrease in alpha level means an increase in beta level.
This means that the lower the beta level, the greater is the power to detect an effect.
Now, we are told that the beta level in study 1 was larger than the beta level used in Study 2.
Thus, study 2 will produce a greater power to detect an effect because it has a lower beta level
Joe and Ben are saving money for a new x-box game. Joe has saved $15.00 in 2 weeks and $37.50 in 5 weeks. Ben's savings are represented by the equation
y=8.25x
y=8.25x
.
Find the difference in their savings each week?
Answers
Answer:
37.50/5 = $7.50/week
so the difference is 8.25-7.50 = $0.75/week
Step-by-step explanation:
HELP PLEASEEEEEEEEEEE
Answers
Answer:
I not see the number 2
I think that is number 2
Answer:
first and last one should be the answer (not sure about the first, cant see it too good)
Plzz help I don’t get it
Answers
Dave owns Dave's Donut Shop and must make decisions about how much to charge for donuts. As a businessowner he wants to attract a lot of customers as well as make a lot of money (revenue). The amount of revenue Dave makes can be modeled by the equation R = (p-1)(200 - 40p), where p represents the price of one donut and R represents the total revenue. Use as many strategies as you can to figure out the questions below. 0 At what price will Dave break even (make no revenue)? How much should Dave charge to maximize his revenue? What is the most money Dave can make? Dave made $100 from donut sales. How much must he have charged per donut?
Answers
Answer:
2430
Step-by-step explanation:
The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:
The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.Given that:
[tex]R = (p - 1)(200 - 40p)[/tex]
To calculate the break even, we set R to 0.
So, we have:
[tex](p - 1)(200 - 40p) =0[/tex]
Split
[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]
Solve for p
[tex]p = 1[/tex] or [tex]40p = 200[/tex]
Divide by 40 in the second equation
[tex]p=1[/tex] or [tex]p =5[/tex]
The break even price is at $1 and $5
To maximize his revenue, we have:
[tex]R = (p - 1)(200 - 40p)[/tex]
Open bracket
[tex]R = 200p - 200 - 40p^2 + 40p[/tex]
Rewrite as:
[tex]R = - 40p^2+ 200p + 40p- 200[/tex]
[tex]R = - 40p^2+ 240p- 200[/tex]
Differentiate
[tex]R' = -80p + 240[/tex]
Equate to 0 and solve for p
[tex]-80p + 240=0[/tex]
[tex]-80p =- 240[/tex]
Divide by -80
[tex]p = 3[/tex]
To maximize his revenue, he as to charge $3
The most money he can make is calculated as:
[tex]R = (p - 1)(200 - 40p)[/tex]
Substitute [tex]p = 3[/tex]
[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]
[tex]R = (3 - 1)(200 - 120)[/tex]
[tex]R = 160[/tex]
The most money he can make is $160
The charges he sold when he made $100 is:
[tex]R = - 40p^2+ 240p- 200[/tex]
Substitute 100 for R
[tex]- 40p^2+ 240p- 200=100[/tex]
Collect like terms
[tex]- 40p^2+ 240p- 200-100=0[/tex]
[tex]- 40p^2+ 240p- 300=0[/tex]
Divide through by -20
[tex]2p^2- 12p+ 15=0[/tex]
Using quadratic formula, the solution of p is:
[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]
So, we have:
[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]
[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]
[tex]p = \frac{12 \± 4.90 }{4}[/tex]
Split
[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]
[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]
[tex]p = 4.225\ or\ p = 1.775[/tex]
He charged $4.225 or $1.775 to make $100.
Read more about revenue and price at:
https://brainly.com/question/11859895
Sunflower
Post Malone, Nicky Jam, ...
Ayy, ayy, ayy, ayy (ooh)
Ooh, ooh, ooh, ooh (ooh)
Ayy, ayy
Ooh, ooh, ooh, ooh
Needless to say, I keep her in check
She was a bad bad, nevertheless (yeah)
Callin' it quits now, baby, I'm a wreck (ayy)
Crash at my place, baby, you're a wreck (ayy)
Needless to say, I'm keepin' her in check
She was a bad bad, nevertheless
Callin' it quits now, baby, I'm a wreck
Crash at my place, baby, you're a wreck
Thinkin' in a bad way, losin' your grip
Screamin' at my face, baby, don't trip
Someone took a big L, don't know how that felt
Lookin' at you sideways, party on tilt
Ooh, some things you just can't refuse
She wanna ride me like a cruise
And I'm not tryna lose
Then you're left in the dust
Unless I stuck by ya
You're a sunflower
I think your love would be too much
Or you'll be left in the dust
Unless I stuck by ya
You're the sunflower
You're the sunflower
Every time I'm leavin' on ya (ooh)
You don't make it easy, no, no (no)
Wish I could be there for ya
Give me a reason to (to, to)
Oh, every time I'm walkin' out (ayy)
I can hear you tellin' me to turn around
Fightin' for my trust and you won't back down
Even if we gotta risk it all right now, oh (now)
I know you're scared of the unknown (known)
You don't wanna be alone (alone)
I know I always come and go (and go)
But it's out of my control
And you'll be left in the dust
Unless I stuck by ya
You're the sunflower
I think your love would be too much
Or you'll be left in the dust
Unless I stuck by ya
You're the sunflower
You're the sunflower
(Yeah)
Answers
Answer:
ok
Step-by-step explanation:
heres a memeeeee
The homoskedasticity-only F-statistic and the heteroskedasticity-robust F-statistic typically are:
Answers
Answer:
The homoskedasticity-only F-statistic and the heteroskedasticity-robust F-statistic typically are different.
Step-by-step explanation:
An F statistic is a value derived by running an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.
The homoskedasticity-only” F-statistic is derived by running two regressions, one under the null hypothesis and one under the alternative hypothesis. If the “unrestricted” model fits sufficiently better, reject the null.
In the first regression, the restricted regression (the null hypothesis) is forced to be true. This is the regression in which all the coefficients are set to zero; the relevant regressors are excluded from the regression. In the second regression, the unrestricted regression, the alternative hypothesis is allowed to be true. If the sum of squared residuals is sufficiently smaller in the unrestricted than the restricted regression, then the test rejects the null hypothesis
The heteroskedasticity-robust F-statistic is built in to STATA (“test” command); this tests all q restrictions at once.
The homoskedasticity-only F-statistic is important historically (and also in practice), and can help intuition, but isn’t valid when there is heteroskedasticity
Find the difference in lowest term 7/18 - 3/18
Answers
Answer:
2/9
Step-by-step explanation:
4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9
Hope that helps and have a great day!
3х3 - 2х2
Simplify if not possible write simplified
Answers
Answer:
[tex] \large{3 \times 3 - 2 \times 2}[/tex]
[tex] \large{9 - 4}[/tex]
[tex] \large{5}[/tex]
Please Assist!
What is the answer to this question???
Answers
Answer:
[tex](-5,\frac{1}{2} )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
R(-2, 3)
S(-8, -2)
[tex](\frac{-2+-8}{2},\frac{3+-2}{2} )[/tex]
[tex](\frac{-10}{2},\frac{1}{2} )[/tex]
[tex](-5,\frac{1}{2} )[/tex]
8. Round to the nearest hundredth: 433.680
Answers
Answer:
433.68
Step-by-step explanation:
Answer:
433.68
Good Luck!!!
The cost of a taxi ride is represented by the function c(m)=2m +4, where m is the number of miles traveled. Use the graphing tool to graph the function
Answers
Answer:
So first you must understand what your function represents the 2 is your (slope of the line) the +4 is the y intercept.
So you need to plot a point at (0,4) and then you need to use the slope to go up 2 units over 1 unit. And you need to use the negative of the slope to the left of the point you plotted on the y - int so you need to go down 2 units and left 1.
Hope you understood if you didn't drop a comment and I will try to reply.