Answers
Answer: Choice A. [tex](-\infty, \infty)[/tex]
This is the same as saying the set of all real numbers.
There are no restrictions to put on the domain, so there are no values to avoid. This is because there are gaps, jumps, or holes in the graph. It's one continuous single curve.
This curve stretches forever to the left and right. As it goes left, it moves up (rises to the left). As it moves right, it goes downhill (it falls to the right). Saying "rises to the left and falls to the right" is an informal way to describe the end behavior. The actual specific end behavior doesn't matter. What matters is both left and right sides go on forever.
A domain of the set of all real numbers means we can plug in any real number for x, and get some output for y, which is part of the range.
One way we can describe the set of all real numbers in terms of an inequality is to write [tex]-\infty < x < \infty[/tex] meaning that x is between negative and positive infinity, ie x is anything you want. The inequality [tex]-\infty < x < \infty[/tex] converts to the interval notation [tex](-\infty, \infty)[/tex]. Interval notation is a compact way of writing compound inequalities.
Related Questions
Can someone help me with this: Write a word phrase that equals the equation x + 7x = 1200.
Answers
Answer:
A number plus seven times itself equals 1200.
Step-by-step explanation:
The number is "x", and 7 times itself is 7 "x". When one adds the two, they get 1200. Hence it models the situation;
x + 7x = 1200.
Answer:
Step-by-step explanation:
marc has x amount of money. His mom offers to give him seven times his money as a Christmas gift. when he combined, his starting money and what his mom gives him, it added up to $1200. What was marc’s starting money (x)
Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
Answers
Answer:
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Step-by-step explanation:
We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x
The general equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Finding Slope:
Both the equations given are parallel. So, they will be having same slope.
Slope of given equation y= - 2/3x is m = -2/3
This equation is in slope-intercept form, comparing with general equation [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3
So, slope of required line is: m = -2/3
Finding y-intercept:
Using slope m = -2/3 and point (-3,5) we can find y-intercept
[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]
So, we get b = 3
Now, the equation of required line having slope m = -2/3 and y-intercept b =3
[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]
The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]
Answer:
[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]
Step-by-step explanation:
5 = –⅔[–3] + b
2
[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.
I am joyous to assist you at any time.
A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be needed to fill the prism?
Answers
Answer:
Step-by-step explanation:
From the question we are told that
Edges of 8 feet, 4 feet, and 1/2 foot
Generally the volume V_p of the right rectangular prism is mathematically represented as
[tex]V_p=8*4*0.5[/tex]
[tex]V_p=16[/tex]
Generally volume of the cube V_c is mathematically given as
[tex]V_c =(\frac{1}{2})^3[/tex]
[tex]V_c =\frac{1}{6}[/tex]
Therefore total number of cubes is given as
[tex]V=\frac{V_p}{V_c}[/tex]
[tex]V=\frac{16}{\frac{1}{6}}[/tex]
[tex]V=96[/tex]
i need help i will mark brainliest
Answers
Answer:
-2?
Step-by-step explanation:
Multiply -1 by -4 to get 4
subtract 20 from 12 to get -8
[tex]\frac{-8}{4}[/tex] simplify to get -2
Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express
the result in standard form.
Answers
Answer:
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]Step-by-step explanation:
[tex]given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7[/tex]
[tex]as \: we \: know \: (f.g)x \: is \: same \: as[/tex]
[tex]f(g(x))[/tex]
[tex]so \: [/tex]
[tex]f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21[/tex]
[tex]f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21[/tex]
[tex]f(x + 7) = x^{2} + 24x + 140[/tex]
[tex]therefore [/tex]
[tex](f.g)x = {x}^{2} + 24x + 140[/tex]
Find 22÷(−2) need help
Answers
Answer:
-11...................
Answer:
-11
Step-by-step explanation:
22/2=11
its negative so make it negative
11.
The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?
Answers
Answer:
The range of the function is:
Range R = {14, 17, 20}
Step-by-step explanation:
Given the function
[tex]f(x) = 3x + 2[/tex]
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.We are given that the domain of the function is:
Domain D = {4, 5, 6}
Now,
substituting x = 4 in the function
f(4) = 3(4) + 2
f(4) = 12 + 2
f(4) = 14
substituting x = 5 in the function
f(5) = 3(5) + 2
f(5) = 15 + 2
f(5) = 17
substituting x = 6 in the function
f(6) = 3(6) + 2
f(6) = 18 + 2
f(6) = 20
Thus, we conclude that:
at x = 4, y = 14
at x = 5, y = 17
at x = 6, y = 20
Thus, the range of the function is:
Range R = {14, 17, 20}
What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Identity property/ Associative Property
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance.
If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Enter your answer in the box.
Answers
Answer:
3 months
Step-by-step explanation: Let after m months they saved same amount of money.
Given,
Saving of Jaclyn = $ 120,
Amount earned by him/her per month = $ 40,
So, the total amount contained by him/her in m months = Saving + earning for m months
= 120 + 40m,
Similarly, saving of Pedro = $ 180,
Amount earned by him/her per month = $ 20,
So, the total amount contained by him/her in m months = 180 + 20m
Thus, we can write,
120 + 40m = 180 + 20m
40m = 180 + 20m - 120
40m - 20m = 60
20m = 60
⇒ m = = 3.
Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.
I need help quick I’ll give extra point to who ever answers
Answers
Answer:
1 = c
2 = b
3 = d
4 = d
5 = a
Step-by-step explanation:
1) 3x-4>17
2) 3x-4<17
3) 3x-4<=17
4) 3x-4<=17
5) 3x-4>=17
Answer:
Step-by-step explanation:
A company offers a flood insurance policy that costs a
homeowner $200 per year, and the company will make a
payout of $100,000 to the homeowner if they have a
flood in that year. The company set this price based on
the probability of a flood in the area being 0.001.
The table below displays the probability distribution of
X = the company's profit from one of these policies.
Answers
Answer:
3,161
Step-by-step explanation:
Khan
Answer this question for me please
Answers
Answer:
-8
Step-by-step explanation:
Answer:
4th one is the right answer.
| x | -2 | 1 | 2 | 3 |
| y | -6 | 3| 6 | 9 |
Step-by-step explanation:
The x and y relationship is in the form y=kx and the graph starts from the origin.
Therefore the graph represents a proportional relationship which holds a equation y=x/3, where k=1/3.
There are 100 dekameters in 1 kilometer. How many dekameters are in 8.5 kilometers?
Answers
Answer:
850.
You just multiply the 8.5 by 100.
Answer:
850
Step-by-step explanation:
50 dkms(dekameters) in 0.5 km(kilometer)
8.5/0.5 =17
17*50 = 850
Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
(ANSWERS ARE ALSO IN A PHOTO)
Answers
Answer:
C) The third option. To find the y intercept move vertically, to find the slope, y2-y1/x2-x1
Step-by-step explanation:
Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. How much money will he have left after he pays back his mother?
Answers
Answer:
$12
Step-by-step explanation:
Juan borrowed $10
His mother loaned him $3 more
= $10 + $3
= $13
He sold $25 worth of lemonade in the first week
If the pays his mother then the amount that will be left with him can be calculated as follows
= $25 - $13
= $12
Answer:
$12
Step-by-step explanation:
got it on edge
Un comerciante compro un lote de 15 calculadoras a 40 dolares cada una .Vendio 5 de ellas ,a orecio de promoción por100 dolares .Calcula el precio de venta de cada una de las restantes calculadoras para que gane 150 en la operación
Answers
The selling price of each of the remaining calculators should be $65 so that the merchant makes a profit of $150 in the entire operation.
The merchant bought a batch of 15 calculators at $40 each, so the total cost of the batch is:
Cost price = 15 calculators × $40/calculator
= $600
The merchant sold 5 calculators at a promotional price of $100 each.
So, the revenue from selling these 5 calculators is:
Revenue = 5 calculators × $100/calculator
= $500
Now, we need to calculate the profit made from the sale of these 5 calculators:
Profit = Revenue - Cost price
Profit = $500 - $600
= -$100 (Negative because the merchant incurred a loss on these 5 calculators)
The merchant wants to make a profit of $150 in the entire operation. So, adding the profit from selling the first 5 calculators:
Desired profit = $150
Current profit = -$100
Additional profit needed = Desired profit - Current profit
Additional profit needed = $150 - (-$100)
= $250
The merchant has 15 - 5 = 10 calculators left to sell.
We need to distribute the additional profit of $250 among the remaining 10 calculators:
Additional profit per calculator = Additional profit needed / Number of remaining calculators
Additional profit per calculator = $250 / 10 calculators
= $25
Now, let's calculate the selling price of each of the remaining calculators:
Selling price = Cost price + Additional profit per calculator
Selling price = $40 + $25 = $65
So, the selling price of each of the remaining calculators should be $65.
To learn more on Selling price click here:
https://brainly.com/question/29065536
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Complete question:
A merchant bought a batch of 15 calculators at 40 dollars each. He sold 5 of them at a promotional price of 100 dollars each. Calculate the selling price of each of the remaining calculators so that he makes a profit of 150 dollars in the operation
You scred a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?
Answers
Answer: You got 57 points out of 60.
Step-by-step explanation: Hope this helps :)
A cylindrical tank with radius 3m is being filled with water at a rate 4m^³/min.How fast is the height of the water increasin?
Answers
Given :
A cylindrical tank with radius 3m is being filled with water at a rate 4m³/min.
To Find :
How fast is the height of the water increasing.
Solution :
We know, volume of cylinder is given by :
[tex]V = \pi r^2h[/tex] ....1)
Also, we have given that, [tex]\dfrac{dV}{dt} = 4 \ m^3/min[/tex] .
Differentiating equation 1) w.r.t t we get :
[tex]\dfrac{dV}{dt} =3^2 \pi \dfrac{ dh }{dt}\\\\\dfrac{dh}{dt} = \dfrac{4}{3^2 \times \pi}\\\\\dfrac{dh}{dt} = 0.141 \ m/min[/tex]
Therefore, the height of water is increasing at a rate of 0.141 m/min.
Marcus was asked to find out what affects the strength of electromagnets. He was given a simple electromagnet made from a coil of wire and a power supply.
What variables could Marcus investigate?
Answers
Answer:
bncjk make sure bgfdf hi olb f see him be see vg hhzch
momom pur $550 into a savings account for one year. The
rate of interest on the account mos 61% How much was
doilers and cents (Round to the
The nearest cent)
Answers
Step-by-step explanation:
you have to divide first then you round
Fitness R Us charges $58 to join the club. During January, the club has a markdown of 51% per joining fee. What is the fee in January? plz help me.
Answers
Answer:
100-51=49
49/100 x 58
= $28.42
Answer:
28.42
Step-by-step explanation:
the equation would be 58 times .49
58 times .49 is 28.42
Compare A and B if 125% of A is equal to $120 and 135% of B is equal to $90
PLS HELP
Answers
The original value of A is greater than original value of B.
The given parameters:
125% of A = $120135% of B = $90What is percentage of a number?The percentage of a number is fraction of the number expressed in hundred.The original value of A is calculated as follows;
[tex]\frac{125}{100} \times A = 120\\\\1.25A = 120\\\\A =\frac{120}{1.25} \\\\A = \$ 96[/tex]
The original value of B is calculated as follows;
[tex]\frac{135}{100} \times B = 90\\\\1.35 B = 90\\\\B = \frac{90}{1.35} \\\\B = \$ 66.67[/tex]
Thus, the original value of A is greater than original value of B.
Learn more about percentages here: https://brainly.com/question/24304697
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answers
Answer:
yes
Step-by-step explanation:
you would multiply 2 and 3 then you would add whatever you got from that to 3 which would be 6+3
hope this helps!
Two identical sets of data are shown below.
Data Set 1: 58, 59, 62, 64, 67, 67
Data Set 1: 58, 59, 62, 64, 67, 67
An outlier is added to Data Set 2. Which of the following statistics must be greater in Data Set 2 when compared to Data Set 1 now that the outlier has been added? Select TWO that apply
mean
standard deviation
mode
median
range
Answers
Answer:
Standard deviation RangeStep-by-step explanation:
Two identical sets of data are:
Data Set 1: 58, 59, 62, 64, 67, 67 Data Set 2: 58, 59, 62, 64, 67, 67An outlier is added to Data Set 2. This is the number that is either smaller than 58 or greater than 67.
Mean
No, it could be greater or smallerStandard deviation
Yes, it will increase with an outlier added because the difference between the added number and the mean will be the greatest.Mode
No, it could be greater or smallerMedian
No, it could be greater or smallerRange
Yes, it will increase as either lower or the higher value will be added to the data set.Which of the following does not represent a proportional relationship?
A. Nicole earns $5 per hour. How many hours must she work to earn $100?
B. Frances walks 2.2 miles every 30 minutes. If she continues to walk at this rate, how far can she walk in 4 hours?
C. Juanita has 7 ceramic frogs in her collection. In addition, she will receive 3 ceramic frogs for her birthday each year, how many ceramic frogs total will she have in 10 years?
D. The earth rotates on its axis every 24 hours. How many rotations will the earth complete in 15 days?
Answers
what is the value of x ?
Answers
Answer:
6
Step-by-step explanation:
(PLEASE HELP I WILL GIVE BRAINLIEST) Mr. Kircher has a coupon for 30% off to purchase a KV sweatshirt. The sweatshirt was originally priced at $40.
What is the amount of the discount that Mr. Kircher will save?
Answers
Answer:
$12
Step-by-step explanation:
30% of 40 = 12
Answer:
its 28.00
Step-by-step explanation:
trust me
(-10x^2-1)+(-8x^2+8x-8) (−10x 2 −1)+(−8x 2 +8x−8)
Answers
Answer:
804−803+702−1
Step-by-step explanation:
Convert -36° from degrees to radians
Answers
Answer:
-0.6283
Step-by-step explanation:
-36° × π/180 = -0.6283rad
aswer
Answer:
-36π/180 or -.6283
Step-by-step explanation:
To convert from degrees to radians you multiply it by π/180
So you have -36π/180 which gets you around -.6283
Find the missing number.
Answers
Answer:
48
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
Since 5 x 4 = 20 and you have to do the same with the numerator and denominator, 12 x 4 = 48