Given the set of domain D = {-3, -2, -1, 0, 1, 2, 3}
Construct /Do the following:
1. Set of ordered pairs such that the range is one less than the domain.
2. Construct table of values such that the range is 2 more than the domain.
3. Write the equation for numbers 1 and 2.
4. Graph numbers 1 and 2 on separate coordinate plane.
Answers
Given the domain of values D = {-3, -2, -1, 0, 1, 2, 3}
1) If the set of range is one less than the domain, the required range will be:
Range = {-4, -3, -2, -1, 0, 1, 2}
2) If the set of range is 2 more than the domain, the required range will be:
Range = {-1, 0, 1, 2, 3, 4, 5}
The table of values is given as:
x y
-3 | -1
-2 | 0
-1 | 1
0 | 2
1 | 3
2 | 4
3 | 5
2) For equation 1, we will use the coordinate points (0. -1) and (1, 0)
The equation in slope-intercept form is given as y = mx + b
m = 0-(-1)/1-0
m = 1/1 = 1
Since the y-intercept is at (0, -1), hence b = -1
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + (-1)
y = x - 1
Hence the equation 1 will be y = x - 1
For equation 2, we will use the coordinate points (-1, 1) and (0, 2)
The equation in slope-intercept form is given as y = mx + b
m = 2-1/0-(-1)
m = 1/1 = 1
Since the y-intercept is at (0, 2), hence b = 2
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + 2
y = x + 2
Hence the equation 2 will be y = x + 2
4) The graph of each equation on a different coordinate plane is attached.
Learn more on graphs and functions here: https://brainly.com/question/11740855
Related Questions
Solve each equation.
1) | 2x - 4 | = 10
2) -5 | -4x + 4 | - 7 = -67
Show all work please :D
Answers
[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answers
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)
Answers
Answer:
7
Step-by-step explanation:
the square root of 49 is 7 since 7 x 7 = 49
At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 31 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Answers
Answer:
65 hot dogs, 96 sodas
Step-by-step explanation:
x + (x + 31) = 161
2x + 31 = 161
2x = 130
x = 65
65 hotdogs
65 + 31 = 96
96 sodas
Terre Haute to Indianapolis to Bloomington measure 3 cm on the map. What is the actual distance?
a) 100 km
b) 150 km
c) 200 km
d) 250 km
Answers
From the information given, it can be deduced that the actual distance from Terre Haute to Indianapolis to Bloomington is 150km.
From the complete information, we are told that on the map of Indiana, 1cm = 50km.
Therefore, since Terre Haute to Indianapolis to Bloomington measures 3 cm on the map, the actual distance will be:
= 3 × 50 = 150km
Learn more about distance on:
https://brainly.com/question/2166162
Answer:
if you are from connexus 8th grd 02051 pre-algebra A unit 5 lesson 6
then here are the correct answers
Step-by-step explanation:
1. B. 150 km
2. A. 300 km
3. D. 7.5 cm
4. B. 30 yd ^ 2
5. A. 90 x 45
i hope this helps please coment if you can! = ) <3
pls help. will give brainliest :)
Answers
Answer:
its option B
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Answers
27/6=4.5
Find the solution
Y = -3x - 5
Answers
-5/3
Explanation:
Which relation is not a function?
A
{(10,−5),(8,−4),(4,−2),(2,0)}
B
{(1,−2),(1,−4),(1,0),(1,8)}
C
{(−3,9),(−2,4),(−1,1),(1,1)}
D
{(3,10),(5,−5),(6,6),(9,11)}
Answers
Answer: B repeating domain is 1
Step-by-step explanation: Repeat domain is not a function. Hope this help:)
Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor trails. The vapor trails from two other jets flying from another direction crossed over the parallel trails. She printed her picture and labeled the angles and lines. Parallel lines c and d are cut by transversals a and b. All angles are described clockwise, from uppercase left. The intersection of lines c and b form angles: 2, 4, 3, 1. The intersection of lines d and b form angles: 6, 8, 7, 5. The intersection of lines c and a form angles: 10, 12, 11, 9. The intersection of lines a and d form angles: 14, 16, 15, 13. Assume lines c and d are parallel and Angle2 measures 98°. Which statements are true? Select three options. MAngle3 = mAngle6 = 98° mAngle3 = mAngle14 = 98° mAngle4 = mAngle8 = 82° mAngle4 = mAngle12 = 82° mAngle5 = mAngle8 = 82°.
Answers
The following statements are true:
<3 = m<6 = 98 degrees (alternate interior angles)m<4 = m<8 = 82degrees (corresponding angles)m<5 = m<8 = 82 degrees (vertical angles)Find the diagram attached.
Given the parameter:
m<2 = 98 degrees
From the diagram, the following are true:
m<2 = m<3 = 98 degrees (vertical angles)
m<3 = m<6 = 98 degrees (alternate interior angles)The sum of m<3 and m<4 is 180 degrees.
m<3 + m<4 = 180
m<4 = 180 - m<3
m<4 = 180 = 98
m<4 = 82 degrees
m<4 = m<8 = 82degrees (corresponding angles)m<5 = m<8 = 82 degrees (vertical angles)Learn more on angles here: https://brainly.com/question/24607467
Answer: A, C, E
Step-by-step explanation: God/Edge
HELP FAST LAST QUESTION ON TEST!!! The front lawn of NPHS has a roped off area of 2x? - 11x + 15. What are the
possible dimensions of the roped off area?
Answers
Answer:the area is = the length*the width
2x^2-11x+15= (2x-5)* the width
you have to divide 2x^2 - 11 x + 15 at 2x-5
2x^2-11x+15 | 2x-5
-2x*2+5x x-3
-------------
/ -6x+15
+6x-15
-----------------
/ /
the answer is X-3
Step-by-step explanation:
Can someone please explain the steps?
Answers
Answer:
There all 67 degrees
Step-by-step explanation:
Answer:
y= 119
Step-by-step explanation:
From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too
All inner angles of a parallelogram add up to 360
61+61=122
360-122=238
238/2=119
Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.
Answers
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.
The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]The probability of choosing all containers of one flavors is P(X = 4).
There are 13 containers, hence, the probability is multiplied by 13.[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]
13 x 0.000018469 = 0.0002
0.0002 = 0.02% probability that 4 of those containers are the same flavor.
A similar problem is given at https://brainly.com/question/25743676
The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.
Given :
Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.The probability according to the Hypergeometric distribution is given by:
[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex] --- (1)
where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.
Now, substitute the values of known terms in the expression (1).
[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]
[tex]\rm P(X=4) =0.000018469[/tex]
Now, multiply the above result by 13.
[tex]13\times 0.000018469=0.0002[/tex]
So, the probability that 4 of those containers are the same flavor is 0.02%.
For more information, refer to the link given below:
https://brainly.com/question/23017717
James makes $44,059 per year, how much would he make monthly?
Answers
Answer:
$3671.58
Step-by-step explanation:
Take the annual salary and divide it by the number of months
Give the equation of the line in slope intercept form. y = 3x + [?] =
Answers
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today.
We can solve this problem in a single step, we just need to know how equations like this are set up.
Equations in slope intercept form are set up in [tex]y=mx+b[/tex] form. With [tex]m[/tex] being the slope of the line, and [tex]b[/tex] being the y intercept.
In your problem, we need to find the value of [tex]b[/tex], which is the y intercept.
The y intercept is what is y when x is zero. We can find that by looking at the graph supplied.
When we look at the line, we can see that it hits the x axis when y is negative two, therefore the intercept is [tex](0,-2)[/tex].
Since we know that, we can reconstruct our equation with this information, we already know the slope so we can add in -2 to get our answer.
[tex]y=3x-2[/tex]
This would be our final answer.
Cheers!
I need help on this assignment
Answers
[tex]\text{Apply Pythagorean theorem,}~ \text{Hypotenuse side}^2 = \text{Opposite}^2 + \text{Adjacent side}^2[/tex]
[tex]12^2 =y^2 +8^2\\\\\implies y^2 = 12^2 -8^2 \\\\\implies y^2 = 80\\\\\implies y =\sqrt{80} = \sqrt{16\times 5}= 4\sqrt 5~~ \text{Units}[/tex]
Can someone Please help me on this easy math problem
Answers
Step-by-step explanation:
Equation of a straight line
y = mx + c, m is the slope, and c the intercept
points (3,7) x = 3, y = 7, c = 1
7 = m × 3 + 1
7 = 3m + 1
3m = 7 - 1
3m = 6
m = 6/3
m = 2
A cone has a height of 15 millimeters and a radius of 15 millimeters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth,
Answers
Answer:
10,597.50 cubic mm
Step-by-step explanation:
V(cone) = [3.14(h)(r²)] ÷ 3
= 3.14(15)(15²) ÷ 3
= 10,597.5
Find the area of the rhombus
Answers
2 aria rombusului după volum este pq2 cea a unghiului este împărțită cu 2 care este pq=x pătrat
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
Answers
The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account
Checking accounts:
Are the least interest bearing accounts Allow for frequent withdrawals using a check or debt card Charge lower feesChecking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.
In conclusion, option A is correct.
Find out more about checking accounts at https://brainly.com/question/21714367.
27.81 + (-13.97) please help
Answers
Answer:
13.84
Step-by-step explanation:
Answer:
13.84
Step-by-step explanation:
im always here to help...
Find the values of the variables in the similar triangles very much high points
I know for a fact that x=2
Answers
Answer:
x = 2, m = 3.75, a = 1.25Step-by-step explanation:
Solve by comparing ratios of corresponding sides:
(x + 4 + 2) / (4 + 2) = (3 + 6 + 3)/(6 + 3) (x + 6)/6 = 12/9x + 6 = 8x = 2m/(6 + 3) = 5/(3 + 6 + 3)m / 9 = 5/12m = 9*5/12m = 3.75
a/3 = 5/12a = 3*5/12a = 1.25
identify the x- and y- intercepts for the line: -3x+3y=27
Answers
Step-by-step explanation:
-3x + 3y = 27
-x + y = 9
y = x + 9
so the y-intercept is 9 (y value when x =0).
and as point (0, 9)
the x-intercept is the x value when y = 0 :
0 = x + 9
x = -9
and as point (-9, 0)
find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)
Answers
y = [1]x + [-5 ]
Step-by-step explanation:
the equation is : y = ax+b
the slope is a : a =1 ( same slope parrallal to the line : y= x-3 )
the line that passes through (3, -2) : -2 = (3)+b
b = -5
the equation is : y = x-5
given f(x)=1/4(5-x)2 what is the value of f(11)
Answers
Answer:
f(x)=1/4(5-x)²
Step-by-step explanation:
f(11)=1/4(5-11)²
1/4(-6)²
1/4(36)
=9
Answer:
=9
Step-by-step explanation:
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Please show me what the lines would look like on this piece wise function
Answers
Explanation:
The f(x) function is piecewise, and it has a double identity depending on what x is.
If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.
The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.
So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.
What am I supposed to say on here the question is in the picture
Answers
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
Answers
Answer:
C
Step-by-step explanation:
The first equation has a y-intercept of -3. Only one line does.
The second equation has a y-intercept of +1. Only one line does.
The point of intersection of those two lines is the point labeled C. That has coordinates that satisfy both equations. (The point is on both lines.)
Find the value of x and then identify the measure of each of the angles.
Answers
Answer:
x = 21
Upper angle has a measure of 69°
Lower angle has a measure of 21°
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
A right angle has a measure of 90 degrees.
This means that (x + 48) + x must equal 90
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
x + 48 + x = 90
combine like terms
2x + 48 = 90
subtract 48 from both sides
2x = 42
divide both sides by 2
x = 21
We then plug in x to find the measures of the angles
x + 48
x = 21
21 + 48
= 69
The other angle simply equals 21°
Answer:
x = 21°
(x + 48°) = 69=
Step-by-step explanation:
x + 48° + x = 90°
2x +48° = 90° Subtract 48° in both sides
2x = 42° Divide both sides by 2:
x = 21°
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Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer:
y=3 x=1
Step-by-step explanation:
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