Answers
Reason:
It is impossible to pass a single vertical line through more than one point on the graph. This relation passes the vertical line test.
The other graphs fail the vertical line test. For instance, in the upper right corner we have a vertical line through x = -1 which passes through more than one point. The input x = -1 leads to multiple outputs y = -1 and y = 3 at the same time.
A function is only possible when each input leads to exactly one output.
Related Questions
Which expression represents 7/21
Answers
Simplified is 1/3 but the number is 0.3 recurring
first 120 km of the road the car is moving at speed rate of 90 kilo meter per hour. next one hour and 15 minute the car is moving at speed rate of 64 kilo meter per hour. what need to be the speed rate for the rest of the road so that speed rate of the whole trip would be 80 kilo meter per hour if 1/8 of the is left?
Answers
Using the relation between velocity, distance and time, it is found that a rate of 102 km/h is needed for the rest of the trip to achieve the desired rate for the entire trip.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
For the first 120 km, the rate is of 90 km/h, hence the parameters are given as follows:
d = 120, v = 90.
Hence the time is given by:
90 = 120/t1
t1 = 120/90
t1 = 1.33 hours.
For the second part of the trip, the parameters are given as follows:
t = 1.25, v = 64.
The time is 1.25 hours because 15 minutes is one fourth(15/60) = 0.25 of an hour.
Hence the distance found as follows is:
64 = d/1.25
d = 1.25 x 64
d = 80
The distance for the first two parts is given by:
120 + 80 = 200 km.
This is equivalent to 7/8 of the trip, hence the total distance is:
7/8d = 200
d = 200 x 8/7
d = 228.57 km.
For a rate of 80 km, we have that the time has to be of:
80 = 228.57/t
t = 228.57/80
t = 2.86 hours.
The time of the first two parts is:
1.33 + 1.25 = 2.58 hours.
2.86 - 2.58 = 0.28 hours.
Hence the last 228.57 - 200 = 28.57 km have to be traveled in 0.28 hours, for a rate of:
v = 28.57/0.28 = 102 km/h.
A rate of 102 km/h is needed for the rest of the trip to achieve the desired rate for the entire trip.
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m∠DBC=(12x-18) and m∠ABD=(8x+30) what is the value for x ?
Answers
The value of x is 12.
Given that the angles are m∠DBC=(12X-18) and m∠ABD=(8x+30).
An angle is made when two rays are joined together at any common point.
We will find the value of x by equating both the given angles as
m∠DBC=m∠ABD
Now, we will substitute the values of angles as
12x-18=8x+30
Further, we will subtract 18 from both sides and simplify it as
12x-18+18=8x+30+18
12x=8x+48
Now, we will subtract 8x from both sides and simplify as
12x-8x=8x+48-8x
4x=48
Now, we will divide both sides by 4, we get
4x/4=48/4
x=12
Hence, the value of x when m∠DBC=(12x-18) and m∠ABD=(8x+30) is 12.
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A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is $13, and tickets cost $39 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
Answers
Few friends want to visit the amusement park. They can only spend a total of $325 on parking and entrance. Tickets are $39 per person, tax included, and parking is $13. Create and resolve an inequality that may be used to calculate p, the maximum number of visitors to the theme park.
the maximum number of visitors to the theme park p=14.
Given that few friends want to visit the amusement park .
They are limited to spending $325 for parking and admission.
Tickets are $39 per person, tax included, and parking is $13.
We have to find the the maximum number of visitors to the amusement park p.
We can write as $13+$39p[tex]\leq[/tex]$325
$39p[tex]\leq[/tex]$325-$13
p[tex]\leq[/tex]14
Therefore, the maximum number of visitors to the amusement park p=14.
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Select all the equations that have the same as 3x - 12 = 24
Answers
The equations that have the same solution as 3x - 12 = 24 include:
a. 15x - 60 = 120C. 3x = 36d. x - 4 = 8Given data
3x - 12 = 24
How to find the solution of the given expression3x - 12 = 24
3x = 24 + 12
3x = 36
x = 36 / 3
x = 12
substituting the value of x in the equations to get to check if the value is same for the given question
a. 15x - 60 = 120
15 * 12 - 60 = 120
180 - 60 = 120
120 = 120 correct
b. 3x=12
3 * 12 = 12
36 ≠ 12 incorrect
C. 3x = 36
3 * 12 = 36
36 = 36 correct
d. x - 4= 8
12 - 4 = 8
8 = 8 correct
e. 12x - 12 = 24
12 * 12 - 12 = 24
144 - 12 = 24
132 ≠ 24 incorrect
Hence we can say that the equations that have same solution as the given equation are options A, C, and D
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complete question
The complete question is attached
1) In Blind Lake, the fish population is estimated to be 6,000 this
year. At the beginning of each year, the lake is stocked with 1,000
fish. By the end of the year, 800 more fish have died or been
caught. What will the estimated fish population be in 4 years?
Answers
6200 + 1000 = 7200 - 800 = 6400 after 2 years
6400 + 1000 = 7400 - 800 = 6600 after 3 years
6600 + 1000 = 7600 - 800 = 6800 after 4 years
the coordinates of a point in the solution set y> -x -1 y>1/3x-5
Answers
Answer:
this is not the answering phone num I was just saying I don't know how many people are going to get it
14. Error Analysis Adam is asked to construct the
bisector of R. Explain the error in Adam's work.
MP.3
R
X
TOPIC 1 Foundations of Geometry
Answers
Option C) is correct which is Adam started the construction at the wrong place. He should have started at point R and drawn an arc across both rays.
According to the question we can see that Adam first draws an arc on a line and draws the bisector, which gives him the error.
We know that when we construct an angle bisector, first we put the compass on the point of the angle and make an arc and from that arc we make two arcs that intersect at a point. Then we draw a ray from the point of angle to that intersecting point which gives us the angle bisector.
Here Adam didn't draw the arc from point R.
Thus, Adam started the construction at the wrong place. He should have started at point R and drawn an arc across both rays.
Hence option C) is the correct option.
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Does this graph show a function? Explain how you know.
A. Yes; the graph passes the vertical line test.
B. No; there are y values that have more than one x-value.
C. Yes; there are no y-values that have more than one x-value.
D. No; the graph fails the vertical line test.
Answers
Answer:
No
Step-by-step explanation:
A function has to pass the vertical line test, meaning that if you put a vertical line anywhere on the graph then the line will only intecert the funtion once. Buy in this graph it intercests twice.
1. It cost Luke $9.12 to send 114 text messages. How
much does each text cost to send?
Answers
$0.08 per text message
Which of the following points are located 3 units from (-4,-2) ? Select all that apply.
Answers
The points that are located 3 units from (-4,-2) are (-1, 2), (-7, 2), (-4, -1) and (-4, 5)
How to determine which of the points is located 3 units from (-4,-2)?The point is given as
Point = (-4, 2)
The distance is given as
Distance = 5
The points that are located 3 units from (-4,-2) are calculated using
Points = (x ± 3, y) and (x, y ± 3)
So, we have
Points = (-4 ± 3, 2) and (-4, 2 ± 3)
Expand
Points = (-4 + 3, 2), (-4 - 3, 2), (-4, 2 - 3) and (-4, 2 + 3)
Evaluate the sum and the difference
Points = (-1, 2), (-7, 2), (-4, -1) and (-4, 5)
Hence, the points that are located 3 units from (-4,-2) are (-1, 2), (-7, 2), (-4, -1) and (-4, 5)
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|4y - 10| = 20 for all values of y in simplest form.
Answers
Answer: -5/2
Step-by-step explanation:
4y−10∣=20
Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. ∣4y−10∣=20 Use the definition of absolute value.
4y−10=20
4y−10=−20
Add 10 to both sides of the equation. 4y=30 which then equals 4y=−10
Divide both sides by 4 to get y = 15 over 2 converted to y = negative 5 over 2
(hope this is helpful)
How many even 2 digit positive integers can be written using the numbers 2,4,5,8
Answers
Answer:
12
Step-by-step explanation:
Suppose i want a 2 digit number and i specifically want it to be even okay, and it can only contain the numbers, 245 and 8 point well in order for it to be even the end would have to be 248 right. An even number. The last digit is divisible by 2 or it even so, there's 3 possibilities here. My question is: can my numbers repeat there's nothing that says my numbers can't repeat so: im gonna some they can so i could use 2 twice, 4 twice and so on and so for, but i can only use 5 once and there's 5 other possibilities here. So 4 possibilities for the first digit 3 possibilities for the second. I'M gonna multiply these together: 4 times 3 there's a total of 122 digit numbers.
You can get 1 cookie for 42 cents or 8 cookies for $3.44. Which is the better deal? How do you know?
Answers
Answer:
The better deal is 1 cookie for 42 cents
Step-by-step explanation:
We need to find the price of 1 cookie when the cookies are 8 for 3.44
Divide the total price by the number of cookies
3.44/8
.43
We can get 1 cookie for 42 cents or 1 cookie for 43 cents
The better deal is 1 cookie for 42 cents because it is less money.
When you divide $3.44 by 8 you get 0.43. So that means for each of the eight cookies ,it’s 43 cents in that box. But when you do 42 cents times eight,(0.42 x 8 = 3.36). So if you got eight cookies with the (1 cookie for 42 cents ) it would be the better deal… even though your only saving only 8 cents or 0.08.
I hope this helps !!! Have an amazing day!! :)
What are the first five terms in the arithmetic sequence with the recursive formula below?
a1=5
an=an-1+4
Answers
Therefore the first five terms are 5, 9, 13, 17, and 21.
Given the first term is 5
a₁ = 5
Given the recursive formula of an arithmetic sequence is
aₙ = aₙ ₋ ₁ + 4
We have to find the first five terms of the arithmetic sequence below
a₂ = a₂ ₋ ₁ + 4
= a₁ + 4
= 5 + 4
= 9
a₃ = a₃ ₋ ₁ + 4
= a₂ + 4
= 9 + 4
= 13
a₄ = a₄ ₋ ₁ + 4
= a₃ + 4
= 13 + 4
=17
a₅ = a₅ ₋ ₁ + 4
= a₄ + 4
= 17 + 4
= 21
Therefore the first five terms are 5, 9, 13, 17, and 21.
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Does the expression 2/5c + 1/4c - 1 have like terms?
Answers
Answer:
Step-by-step explanation:
The most appropriate form of like terms is given below-
[tex]\frac{2}{5} c[/tex], [tex]\frac{1}{4} c[/tex] are like terms of this expression.
What are like terms?
The terms having same variable raised to same power are called like terms.
Here,
In [tex]\frac{2}{5}c+\frac{1}{4} c -1\\[/tex], [tex]\frac{2}{5} c[/tex] and [tex]\frac{1}{4} c[/tex] have same variable, [tex]c[/tex].
So they are like terms
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When turning the decimal to a fraction how do I do that? I’m confused
Answers
Ok so I was very confused on this too. Not even going to lie to ya, I struggled with this for a long time. However once you get the hang of it, it's actually rather simple.
So, lets try a problem. What is 0.04 as a fraction?
Well, we know that 0.04 is 4%. And you can do [tex]\frac{4}{100}[/tex] which is 0.04, or 4%
Does that make sense? If not let me explain it a little more.
Well basically all you have to do is put that number over 100.
Here are some examples of decimals to percentage to fraction:
0.5 = 50% = [tex]\frac{50}{100}[/tex] or in simplest form [tex]\frac{1}{2}[/tex]
0.11 = 11% = [tex]\frac{11}{100}[/tex]
0.03 = 3% = [tex]\frac{3}{100}[/tex]
I really hope this helped you!!!
If not let me know how i can explain it and what doesn't make sense!
Answer: To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, [tex]\frac{6}{10}[/tex]. If needed, simplify the fraction.
Step-by-step explanation:
what is eight times the square a number z minus three in mathematical translate?
Answers
Answer:
8*z^2-3
Step-by-step explanation:
Micaela and Elisa each improved their yards by planting rose
bushes and geraniums. They bought their supplies from the
same store.
Micaela spent $122 on 14 rose bushes and 8 geraniums.
Elisa spent $120 on 12 rose bushes and 12 geraniums.
What is the cost of one geranium?
• $1
• $7
• $3
• $5
Answers
Answer:
One geranium is $3
Step-by-step explanation:
Let r = roses and g = geraniums
14r + 8g = 122
12r + 12g = 120
Multiply first equation by -3 and the second by 2 (we are trying to get terms that cancel when we add the two equations)
-42r - 24g = -366
+24r + 24g = 240
Add
18r = 126
r = 7, so one rose is $7
Put this into either of the original equations
14(7) + 8g = 122
98 +8g = 122
8g = 24
g = 3, so one geranium is $3
122 = 14x + 8y
120 = 12x + 12y
1) solve for a variable
We can use second equation to find x and plug it in in terms of y
10 = x + y
X = 10 - y
2) plus it into first equation
122= 14(10 - y) + 8y
122 = 140 - 14y + 8y
6y = 18
Y = 3
There are 5 one-digit numbers in a set of data. The mean is 3, the mode is 1, and the median is 4. What are the numbers in the set of data?
Answers
Not sure what else it could be
If the sum of a number and three is tripled the result is one less than twice the number. Find the number.
Answers
The number in the equation is -10.
Given,
The sum of a number and three is tripled the result is one less than twice the number.
We can take the number as x.
Then,
3(x + 3) = (2x - 1)
Equate the above equation and find x.
3x + 9 = 2x - 1
Add -2x to both sides:
That is,
3x - 2x + 9 = 2x - 2x - 1
x + 9 = -1
Add -9 to both sides:
We get,
x + 9 - 9 = -1 - 9
x = -10.
That is, the number in the equation is -10.
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39,004 in expanded form
Answers
30,000 9,000 4 this it the answer to your question
help plsssssssssssssssssssssssssssss
Answers
Answer:
8.3x10^1
Step-by-step explanation:
you don't even need to do any math for this question. just look for the number between 1 and 10
Jsut need the answer please
Answers
Answer:
h(t) decreases by a factor of 1.95
Step-by-step explanation:
- 1.95
h(t) decreases by a factor of 1.95
AC=64A, C, equals, 64, A B = 7 x + 8 AB=7x+8A, B, equals, 7, x, plus, 8, and B C = 3 x + 6 BC=3x+6B, C, equals, 3, x, plus, 6, Find B C BCB, C.
Answers
The numerical length of BC is 36
How to determine the numerical length of BC?The given parameters are:
AC= 64, AB = 7x + 8, and BC = 3x + 6.
The above means that the point B is between points A and C
So, we have
AC = AB + BC
Substitute the known values in the above equation
64 = 7x + 8 + 3x + 6
Evaluate the like terms
10x = 50
Divide both sides by 10
x = 5
Substitute x = 5 in BC = 3x + 6
So, we have
BC = 3 x 10 + 6
Evaluate
BC = 36
Hence, the numerical length of BC is 36
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Complete question
AC= 64, AB = 7x + 8, and BC = 3x + 6. Find BC
The gestation period of humans (266 days) is _____ percent longer than the gestation period of dogs (65days).
Answers
The gestation period of humans is 309.23% percent longer than the gestation period of dogs.
What is the percentage?
Percentage is the fraction out of an amount that is expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to represent percentages is %. In order to convert a number to percentage, express the number as a fraction and multiply by 100.
Percent of gestation period = (difference in the gestation period of dogs and humans / gestation period of humans) x 100
[(266 - 65) / 56] x 100
(210 / 65) x 100 = 309.23%
A second method :[ (gestation period of humans / gestation period of dogs) - 1] x 100
[(266 / 65) - 1] x 100 = 309.23%
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A gym charges members $25 for a registration fee, and then $32 per month. You became a member some time ago, and
now you have paid a total of $281 to the gym. How many months have passed since you joined the gym?
months have passed since you joined the gym.
Answers
Answer:
It has been 8 months since I joined the gym.
Step-by-step explanation:
1. Subtract the registration fee from the total (which would be $281 - $25 = $256)
2. divide that total by $32 and you will get the total number of months you've gone to the gym. ( which would be $256 ÷ $32 = 8)
3. check your work
The ratio of tiger to elephants in a circus is 1 to 3. If there are a total of 48 tigers and elephants in the circus, then how many tigers and elephants are there?
Answers
Answer:
There are 12 tigers and 36 elephants.
Step-by-step explanation:
If the ratio of tigers to elephants is 1 to 3, that means that the total would be 4,
so 1/4 of the total would be tigers and 3/4 of the total would be elephands.
1/4 x 48 is 12
and
3/4 of 48 = 36
Find the equation of the line that contains point (1,6) with a slope of -1/4. Write the answer in slope-intercept form.
Answers
Answer:
Step-by-step explanation:
Write equation in point slope form:
y - y1 = m(x - x1), where m is slope and (x1,y1) is a point on the line
Here m = 1/4 and (x1,y1) = (0,-6)
y--6 = 1/4(x - 0)
y+6 = 1/4x
in slope-intercept form
y = 1/4x - 6
to find x-intercept, substitute 0 for y and solve for x
to find y-intercept, substitute 0 for x and solve for y
100 points!!! Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Multiply or divide as indicated.
x^10/x^4
Answers
Answer:
[tex]x^{6}[/tex]
Step-by-step explanation:
To simply exponents in a fraction, subtract the exponent for each variable in the denominator from the exponent in the numerator.
Answer:
[tex]x^6[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{x^{10}}{x^4}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies \dfrac{x^{10}}{x^4}=x^{(10-4)}=x^6[/tex]