The required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.
As given in the question, for the ordered pairs given {(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)} domain and range of the system is to be determined.
Range, it is the set of the values that come out to an outcome for a certain mathematical operation.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given the ordered pair are,
{(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)}
Values in the place of abscissa x and ordinate y are the value of a set of domains and ranges respectively.
So domin = {-5, -4, -2, 0, 1}
and range = {4, -4, 1, 4, 3}
Thus, the required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.
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Which inequality is true? A number line going from negative 3 to positive 3 in increments of 1. StartFraction 5 Over 6 EndFraction less-than negative one-third 2 and one-third greater-than 2 and one-sixth 2 less-than negative 2 and one-half 1 and one-fourth greater-than 1 and one-third
The inequality is true.
Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.
Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.
The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.A number line that is going from the negative 3 to positive 3 and is in increasing order. The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.Hence the option 1, 2, and 3 are true.Learn more about the inequality is true.
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Answer:
i have a feeling it is b
Step-by-step explanation:
Describe how you would solve -2x - 3 < 5
Answer:
x > -4
Step-by-step explanation:
-2x-3<5
+3 +3
-2x<8
/-2 /-2
x>-4
Basically, you subtract -3 from both sides to isolate -2x. Now the equation should be -2x<8. You divide by -2 on both sides to isolate the variable (x) and you should end up with x<-4. You flip the sign because you divided by a negative number. You should end up with x>-4.
this is a geo question i do not understand someone please help me
Resolve the following equations
3x+4=2
There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could play the clarinet and 12 could play the saxophone. four could play the flute and the saxophone, four could play the flute and the clarinet, and 6 could play the clarinet and the saxophone. 3 students can play none of the three instruments. Find the number of students who could play: a. All the instruments b. Only the saxophone c. The saxophone and clarinet, but not the flute d. Only one of the clarinet, saxophone, or flute.
Answer:
a. The number of students who can play all three instruments = 2 students
b. The number of students who can play only the saxophone is 0
c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only one of the clarinet, saxophone, or flute = 4
Step-by-step explanation:
The total number of students available = 29
The number of students that can play flute = 11 students
The number of students that can play clarinet = 15 students
The number of students that can play saxophone = 12 students
The number of students that can play flute and saxophone = 4 students
The number of students that can play flute and clarinet = 4 students
The number of students that can play clarinet and saxophone = 6 students
Let the number of students who could play flute = n(F) = 11
The number of students who could play clarinet = n(C) = 15
The number of students who could play saxophone = n(S) = 12
We have;
a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)
Therefore, we have;
29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3
29 = 24 + n(F∩C∩S) + 3
n(F∩C∩S) = 29 - (24 + 3) = 2
The number of students who can play all = 2
b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)
The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0
The number of students who can play only the saxophone = 0
c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4
The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only the saxophone = 0
The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3
The number of students who can play only the clarinet = 3
The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1
The number of students who can play only the flute = 1
Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4
The number of students who can play only one of the clarinet, saxophone, or flute = 4.
Your bank charges you a fixed monthly fee for banking there and a charge for each check you write one month you wrote 23 checks and were charged 16.70 the next month you wrote 18 checks and were charged 15.95 how much is your fixed monthly charge and how much do they charge per check
Answer:
Your fixed monthly charge is $13.25 and the charge per check is $0.15.
Step-by-step explanation:
The formula to calculate the amount the bank charges you would be equal to the fixed monthly fee plus the charge for each check for the number of checks. According to that, if you wrote 23 checks and were charged 16.70, this would be:
x+23y=16.70
Also, if you wrote 18 checks and were charged 15.95, you would have the following equation:
x+18y=15.95
You can use these equations to find the value of x and y:
x+23y=16.70 (1)
x+18y=15.95 (2)
where x is the fixed monthly fee and y is the charge for each check
First, you can solve fo x in (1)
x=16.70-23y (3)
Then, you can (3) in (2):
16.70-23y+18y=15.95
16.70-5y=15.95
16.70-15.95=5y
0.75=5y
y=0.75/5
y=0.15
Finally, you can replace the value of y in (3) to find x:
x=16.70-23(0.15)
x=16.70-3.45
x=13.25
According to this, the answer is that your fixed monthly charge is $13.25 and the charge per check is $0.15.
1/2 (4x+3) < 1/2 (2x+6)
Answer:
x< 3/2 hope this helps <3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
Step 2: Subtract x from both sides.
Step 3: Subtract 3/2 from both sides.
What is the maximum number of student tickets that can
be sold if the drama club meets its sales goal?
40
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
60
80
100
Suns 100
5s + 10n 2 800
Answer:
The Drama Club scan sell all 100 student tickets at max if they reach their goal of $800.
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
E2020
I hate math I'm dumbbb
Answer:
Domain is x and range is y
What’s the answer xx
Step-by-step explanation:
Hey there!
Given;
ABC is a Right angled triangle.
Taking angle "A" as reference angle, we get;
Perpendicular (p) = BC
hypotenuse (h) = 13cm
Base(b) = 8cm
We know;
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex]or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } [/tex]
[tex] BC = \sqrt{ {13}^{2} - {8}^{2} } [/tex]
[tex] BC = \sqrt{169 - 64} [/tex]
[tex] BC = \sqrt{105} [/tex]
[tex] BC = 10.246[/tex]
Therefore, BC = 10.246cm.
Hope it helps...
2x^4–5x^3+x^2+3x+2=?
X=5
Answer:
[tex]2x^4–5x^3+x^2+3x+2=[/tex]
[tex]2 \times 5^4–5 \times 5^3+5^2+3 \times 5+2[/tex]
= 2 × 625 – 5 × 125 + 25 + 3 × 5 + 2
=1250 – 625 + 25 + 15 +2
= 1292 – 625
= 667
Eric is a lifeguard at his community pool. Before working, he likes to swim laps to exercise. Eric started by swimming 12 laps and increases the number of laps he swims by 3 laps each week. - Identify the slope modeled by the linear relationship. Explain what the slope means in context of the problem. - Identify the y-intercept modeled by the linear relationship. Explain what the y-intercept means in context of the problem.
Answer:
Step-by-step explanation:
Eric started by swimming laps = 12
And increases number of laps each week = 3 laps
If Eric spends x week for the swimming, linear equation representing the number of laps 'y' after 'x' weeks will be,
y = 12 + 3x
Slope of the equation when graphed = 3
y - intercept of the equation = 12
Therefore, Slope of the equation represents the increase in laps per week.
And y-intercept represents the number of laps at the starting.
The length of a rectangle is 11 less than 9 times the width. The perimeter of the rectangle is 18 inches
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
What is 8 x 1/10 = ? Helooo? Couls some one please answaer me i am in the 6th grade so please answer i dont know this lol.
Answer:
0.8 or 4/5
Step-by-step explanation:
[tex]\large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
[tex]8 \times \frac{ 1 }{ 10 }[/tex]
[tex]Multiply \: 8 \: and \: \frac{1}{10} \: to \: get \: \frac{8}{10}.[/tex]
[tex]\frac{8}{10} [/tex]
[tex]Reduce \: the \: fraction \: \frac{8}{10} \: to \: lowest \\ \: terms \: by \: extracting \: and \: \\ canceling \: out \: 2.[/tex]
[tex]\frac{4}{5} [/tex]
[tex] \color{blue}\frac{2 ^ {2}}{5} = 0.8[/tex]
Rewrite the expression in the form x^N X^3•x^4
X^7
what to always remember is when you multiply numbers of the same base add exponents
write the linear equation in standard form y=4/3x-2/3
Answer:
The answer would be -4/3x+y=-2/3
Step-by-step explanation:
The standard form formula is Ax+By=C. By just subtracting 4/3x both sides, the linear equation is know in standard form.
What is the coefficient of the term below?
– 5x²yt
Enterlu
-
Answer:
The coefficient is: *-5*
in the -5x.
Step-by-step explanation:
What is the scale factor from triangle ABC to triangle PQR?
The scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
To find the scale factor from triangle ABC to triangle PQR, we need to compare the corresponding side lengths of the two triangles.
Side AB corresponds to side PQ, which has a length of 6 units.
Side BC corresponds to side QR, which has a length of 9 units.
Side AC corresponds to side PR, which has a length of 12 units.
So, the scale factor from triangle ABC to triangle PQR can be found by comparing the ratio of corresponding side lengths:
AB/PQ = BC/QR = AC/PR
Using the values we found above, we can write:
|AB/PQ| = 2/3
|BC/QR| = 3/4
|AC/PR| = 4/5
Since all three ratios are equal in magnitude, we can take any one of them to be the scale factor. Therefore, the scale factor from triangle ABC to triangle PQR is 2/3 or 3/2, depending on the direction of comparison.
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You are running a 10 mile race. You run the first 3 miles in 24.7 minutes. Your goal is to finish the race in less than 1 hour and 20 minutes. What should you average running time (in minutes per mile) be for the remaining miles?
Answer:
Therefore you have to run every mile in ~ 8 minutes.
Step-by-step explanation:
10 miles - 3 miles = 7 miles left.
1 hour 20 minutes - 24.7 minutes= 80 minutes - 24.7 minutes
= 55.3 minutes left
Therefore, you have 55.3 minutes left to run 7 miles. But since you want to finish in LESS than 1 hour and 20 minutes, subtract the .3.
So:
7 miles = 55 minutes
1 mile x minutes
x minutes= 55 x 1 ÷ 7 miles
x minutes = 7.85
x minutes = ~ 8 minutes
Therefore you have to run every mile in ~ 8 minutes.
Hope this helps!
Need help with this please help
Answer: 3/4
Step-by-step explanation:
Slope=rise/run
In this case we rise up 3
And we run 4 to the right
Which makes the slope 3/4
Hi ! The answer would be 3/4.
To get this answer, the red line represents the RISE, and the blue line represents the RUN.
Your slope will always have RISE/RUN.
Now, you count how many squares there are in your rise, in this case, 3.
Then, you do the same for your run, which would be 4.
Rise/Run becomes 3/4.
What would determine it to be a negative? Well, if you see charts like these: You'll see that the red is going up, it is a positive slope, while the blue, which is going down, is a negative slope.
For example, if sales at your store increased, your slope would go up (positive), while if the opposite it'd go down (negative).
In this case, it is a positive slope.
HELP QUICK!! Sales tax is 6% in Virginia for most items. How much would you have to pay at the
register for an item with a price tag of $12.99?
Answer:
$13.77
Step-by-step explanation:
12.99 x 0.06
0.7794
0.7794+12.99
13.7694
$13.77
9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
Nancy’s equation: Juan’s equation:
Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is
[tex]y=3x[/tex]
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is
[tex]y=3+2x[/tex]
Therefore, the equations of Nancy and Juan are [tex]y=3x[/tex] and [tex]y=3+2x[/tex] respectively.
Write an equation in slope-intercept form that passes through (2, -3) and slope of -5.
Step-by-step explanation:
Hey there!
The given slope is "-5" and it passes through point (2,-3).
Use one-point formula to find out the equation.
[tex](y - y1) = m(x - x1)[/tex]
Put all values.
[tex](y + 3) = - 5(x - 2)[/tex]
Simplify it.
[tex](y + 3) = - 5x + 10[/tex]
[tex]y = - 5x + 10 - 3[/tex]
[tex]y = - 5x + 7[/tex]
Therefore, the equation is y= -5x+7.
Hope it helps...
240 projects in 15 days =
projects per day
Answer:
Step-by-step explanation:
240/15 is 16 projects per day
Answer:
16 projects per day
Step-by-step explanation:
Take the number of projects and divide by the number of days
240/15
16 projects per day
the equation 3x^2-6x=8 is rewritten in a form of 3(x-p)^2+q=0.
Answer:
[tex]3(x - 1)^2 - 11= 0[/tex]
Step-by-step explanation:
Given
[tex]3x^2 - 6x = 8[/tex]
Required
Rewrite in form of [tex]3(x - p)^2 + q = 0[/tex]
[tex]3x^2 - 6x = 8[/tex]
Subtract 8 from both sides
[tex]3x^2 - 6x - 8 = 8 - 8[/tex]
[tex]3x^2 - 6x - 8 = 0[/tex]
Express -8 as 3 - 11;
So, we have:
[tex]3x^2 - 6x + 3 - 11= 0[/tex]
Expand [tex]3x^2 - 6x + 3[/tex]
[tex]3(x^2 - 2x + 1) - 11= 0[/tex]
Factorize the expression in the bracket;
[tex]3(x^2 - x -x + 1) - 11= 0[/tex]
[tex]3(x(x - 1) -1(x - 1)) - 11= 0[/tex]
[tex]3((x - 1)^2) - 11= 0[/tex]
[tex]3(x - 1)^2 - 11= 0[/tex]
By comparison: [tex]3(x - p)^2 + q = 0[/tex]
[tex]p= 1[/tex]
[tex]q = -11[/tex]
Which of the following is an example of the atmosphere interacting with the biosphere?
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
Nool is a computer repairman, To fix a computer,
he charges a customer X per hour, plus a fired
lee of $15 for the service call, as represented by
the equation below
y = 40x + 15
In the equation, what is represented by the variable
A the number of hours Noel worked
the amount Noel charged per hour
C, the fixed fee for the service call
D. the total cost of the repair job
Can someone
Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies to package in plastic containers for her teacher
friends at school
She wants to divide the cookies into identical containers so that each
container has the same number of each kind of cookie.
If she wants each container to have the greatest number of cookies possible, how many plastic containers does she
need?
Answer: 16 containers?
Step-by-step explanation:
Number of oatmeal cookies with Kiara = 30
Number of chocolate chips cookies with Kiara = 48
To find the greatest number of container neded so that there are equal amount of each cookies in each , we have to find the HCF of 30 and 48 .
Factors of 32 = 1 , 2 , 4 , 6 , 8 , 16 and 32
Factors of 48 = 1 , 2 , 3 , 4 , 6 , 8 , 12 , 16 , 24 and 48
Common and highest among these factors = 16
Which means 16 is the HCF of 32 and 48 .
∴ Kiara will need 16 plastic containers .
What are the zeros of the following polynomial? 0=(x+5)(x-2)(x-3)
HELP PLEASE MULTIPLE CHOICE
Answer:
I believe the answer you chose is correct. Hope this helps and please mark as helpful if I was correct. THanks!
Step-by-step explanation: