4 Type the correct answer in each box. Use numerals instead of words. The domain of this function is (-12, -6, 3, 15). y = -1 +7 Complete the table based on the given domain. у -6 5 15 15
Answers
Given the function:
\(y=-\frac{2}{3}x+7\)Domain: {-12, -6, 3, 15}
The domian is all set of input(x) values.
To complete the table let's solve for the range using all domain values.
All you have to do is to input the value of the domain for x in the function to tha the values of the range
Thus, we have:
When x = -12:
\(\begin{gathered} y=-\frac{2}{3}(-12)+7 \\ \\ y=\frac{24}{3}+7 \\ \\ y\text{ = 8 + 7 = 15} \end{gathered}\)When x = -6
\(\begin{gathered} y=-\frac{2}{3}(-6)\text{ + 7} \\ \\ y=\frac{12}{3}+7 \\ \\ y\text{ = 4+7=11} \end{gathered}\)When x = 3
\(\begin{gathered} y=-\frac{2}{3}(3)+7 \\ \\ y=-\frac{6}{3}+7 \\ \\ y\text{ =-2+7=5} \end{gathered}\)When x = 15:
\(\begin{gathered} y=-\frac{2}{3}(15)+7 \\ \\ y=-\frac{30}{3}+\text{ 7} \\ \\ y\text{ = -10+7} \\ \\ y\text{ = -3} \end{gathered}\)ANSWER:
Therefore, the complete table will be:
Related Questions
LWhat is 63 points
Help pla
Answers
Answer:
B. 1 1/4Step-by-step explanation:
3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 1/4Correct choice is B
Step-by-step explanation:
\( \sf \: \dfrac{3}{4} + \dfrac{1}{2} \\ \sf ➡ \frac{3 + 2}{4} \\ \sf➡ \frac{5}{4} \\ \sf➡1 \frac{1}{4} \)
at a bakery, the ratio of the number of pies to the number of cakes was 8:3. What is the fraction of the number of cakes to the number of pies.
Answers
Answer:
Step-by-step explanation:
Answer:
3
---
8
Step-by-step explanation:
the ratio of cakes to pies will be 3:8 if pies to cakes is 8:3
the fraction is 3/8
Determine whether the integers in each of these sets are pairwise relatively prime. a) 11, 15, 19 b) 14, 15, 21 c) 12, 17, 31, 37 d) 7, 8, 9, 11
Answers
Note that Option A is pairwise and is relatively prime.
Option B is not relatively primeOption C is also a relatively primeOption D is also relatively prime.What does it mean for a list of integers to be pairwise relatively prime?If every pair of elements in a list of integers is relatively prime, the list is pairwise relatively prime. For example, the numbers 121, 122, and 123 are relatively prime pairwise (even though they are each composite).
You can tell if a set of numbers are relatively prime if they do not share a common factor other than ±
Looking at set a:
11, 15, 19
Writing their prime factorization
11 = 11
15 = 3 x 5
19 = 19, hence since any pair of these numbers does not have any common factor, hence they are relatively prime.
Looking at set b:
14, 15, 21
Writing their prime factorization, we have:
14 = 7 x 2
15 = 3 x5
21 = 3 x 7
15, and 21 share a common factor of 3 while
14 and 21 share a common factor of 7, therefore, they are NOT relatively prime.
Looking at set c)
12, 17, 31, 37
Writing their prime factorization,
12 = 3 x 2²
17 = 17
31 = 31
37 = 37
In this case, no pair of these numbers have any common factor. Hence they are relatively prime.
Looking at set d)
7,8,9, 11, spelling out their prime factorization
7=7
8=2³
9=3²
11=11
Thus, any pair of these numbers do not have a common factor, hence they are relatively prime.
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Tickets for a basketball game cost $3 for students and $5 for adults. The number of students was 14 less than 8 times the number of adults. The total amount of money from ticket sales was $1582. How many of each ticket were sold?
Answers
56 adult tickets and 442 student tickets were sοld.
What is Linear Equatiοn?A linear equatiοn is an equatiοn οf the fοrm y = mx + b, where x and y are variables, m is the slοpe οf the line, and b is the y-intercept. It represents a straight line with a cοnstant slοpe.
Let's start by defining οur variables. We'll use s tο represent the number οf student tickets sοld, and a tο represent the number οf adult tickets sοld.
Frοm the prοblem, we knοw that:
* The price οf a student ticket is $3, sο the tοtal amοunt οf mοney frοm student ticket sales is 3s.
* The price οf an adult ticket is $5, sο the tοtal amοunt οf mοney frοm adult ticket sales is 5a.
* The number οf students was 14 less than 8 times the number οf adults, sο we can write an equatiοn: s = 8a - 14.
* The tοtal amοunt οf mοney frοm ticket sales was $1582, sο we can write anοther equatiοn: 3s + 5a = 1582.
We nοw have twο equatiοns with twο unknοwns. We can substitute the first equatiοn intο the secοnd equatiοn tο eliminate s:
3(8a - 14) + 5a = 1582
Simplifying, we get:
24a - 42 + 5a = 1582
29a = 1624
a = 56
Sο, 56 adult tickets were sοld. We can substitute this value back intο the first equatiοn tο find the number οf student tickets sοld:
s = 8a - 14
s = 8(56) - 14
s = 442
Therefοre, 442 student tickets were sοld.
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79%
3rd
Her monthly salary is twice the sum of her husband's salary and four. Her monthly
salary is also equal to four more than four times his salary. How much does the
husband make a month? Note the husband's monthly salary is in terms of thousand
dollars.
Answers
9514 1404 393
Answer:
0
Step-by-step explanation:
The two expressions for her salary can be equated:
2h +4 = 4 +4h
0 = 2h . . . . . . . . subtract 2h+4 from both sides
h = 0 . . . the husband's salary is zero dollars per month
Answer:
$2000
Step-by-step explanation:
Rectangle A has a length of 2 and a width of 10. Rectangle B has a length of 4
and a width of 5. Rectangle A and Rectangle B (doing a test please answer fast)
Answers
Answer: dang bro i never do flvs that early in school. Sorry my guy i got no answer to that. Im quite dumb myself in math
Step-by-step explanation:
y = 3x2 − 18x − 19.
Part A: Show your work to complete the square of the function. (1 point)
Part B: Identify the vertex of the function. (1 point)
Part C: Explain how to determine the maximum or minimum value of the function. (2 points)
Answers
Answer:
A) y = 3(x -3)^2 -46
B) (3, -46)
C) look at the y-coordinate of the vertex
Step-by-step explanation:
A) Factor the leading coefficient from the variable terms.
y = 3(x^2 -6x) -19
Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.
y = 3(x^2 -6x +9) -19 -3(9)
y = 3(x -3)^2 -46
__
B) Compared to the vertex form, ...
y = a(x -h)^2 +k
we find a=3, (h, k) = (3, -46).
The vertex is (3, -46).
__
C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.
If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.
HELPPP PLEASEEE! I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please? I am not sure where to start either now. Thank you for your time.
Answers
You have some data points labeled by \(x\). They form the set {3, 5, 7}.
The mean, \(\bar x\), is the average of these values:
\(\bar x = \dfrac{3+5+7}3 = \dfrac{15}3 = 5\)
Then in the column labeled \(x-\bar x\), what you're doing is computing the difference between each data point \(x\) and the mean \(\bar x\):
\(x=3 \implies x-\bar x = 3 - 5 = -2\)
\(x=5 \implies x-\bar x = 5-5 = 0\)
\(x=7 \implies x-\bar x = 7 - 5 = 2\)
These are sometimes called "residuals".
In the next column, you square these values:
\(x=3 \implies (x-\bar x)^2 = (-2)^2 = 4\)
\(x=5 \implies (x-\bar x)^2 = 0^2 = 0\)
\(x=7 \implies (x-\bar x)^2 = 2^2 = 4\)
and the variance of the data is the sum of these so-called "squared residuals".
The school cafeteria is thinking of introducing a vegetarian pizza to the menu. Which
sampling technique would you recommend to determine which of three possible
toppings should be used? Explain your recommendation. [C -2]
4.
Answers
I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.
What is simple random sampling suitable?It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.
By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.
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what is
r+15=36
\(r + 15 = 36\)
Answers
Answer:
Step-by-step explanation:
R=21
what are the assymptotes of this equation
Answers
4. Does the graph represent a
function? Explain.
Answers
Answer:
no, because there is no graph lol
Step-by-step explanation:
But as long as nothing is repeated vertically it’s a function
....... is a function
..:...: is not a function
= A triangle has sides of lengths 18, 24 and 30 units. What is the length of the shortest
altitude of this triangle? Express your answer as a common fraction.
Answers
Answer:
According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is
A=
s(s−a)(s−b)(s−c)
where
s=
2
a+b+c
For the given triangle,
a=18 cm
b=24 cm
c=30 cm
s=
2
18+24+30
=36
A=
36(36−18)(36−24)(36−30)
A=
36×18×12×6
A=
216×216
=216 cm
2
Smallest side =18 cm
Area of the triangle =
2
1
×base×altitude=216
2
1
×18× altitude=216
Altitude =
9
216
=24 cm
Step-by-step explanation:
hope this will help
\(\boxed{\boxed{\pink{\bf \leadsto The \ length \ of \ shortest \ altitude \ is \ 2.4\sqrt{6} \ units . }}}\)
Step-by-step explanation:Here given measure of sides are 18 , 24 and 30 units. Firstly let's find the area of ∆ using Heron's Formula.
\(\boxed{\red{\bf Area_{\triangle} =\sqrt{s(s-a)(s-b)(s-c)}}}\)
Where s is semi Perimeter . And here s will be ( 18 + 24 + 30 ) / 2 = 36 units .
\(\bf \implies Area = \sqrt{s(s-a)(s-b)(s-c)} \)
\(\bf \implies Area = \sqrt{ 36 ( 36 - 18)(36-24)(36-30)}\)
\(\bf \implies Area = \sqrt{ 36 \times 18 \times 12} \)
\(\bf \implies Area = \sqrt{ 6^2 \times 6\times 6 \times 2 \times 3} \)
\(\bf \implies Area = 6^2\sqrt{6} unit^2 \)
\(\bf \boxed{ \implies Area_{triangle} = 36\sqrt{6} units^2} \)
Also we know that ,
\(\boxed{\red{\bf Area_{\triangle} = \dfrac{1}{2}\times (base)\times (height)}}\)
Let's find the altitudes now ,
Altitude on side of 18 units :-
\(\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 18 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{18} \\\\\boxed{\bf\implies h_1 = 4\sqrt6 units }\)
Altitude on side of 24 units :-
\(\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 24 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{24} \\\\\boxed{\bf\implies h_1 = 3\sqrt6 units }\)
Altitude on side 30 units :-
\(\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 30 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{30} \\\\\boxed{\bf\implies h_1 = 2.4\sqrt6 units }\)
Hence the lenght of shortest altitude is 2.4√6 units and its on the side of 30 units.Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answers
Answer:
Step-by-step explanation:
Solve 8x − 2(x + 1) = 7x + 8 x = 6 x = −6 x = 10 x = −10
Answers
Answer:
13
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
8x-2x-2=7x+8
6x-2=7x+8
6x-7x=8+2
-x=10
x=-10
A circle with a diameter of 34 inches is shown.
circle with diameter of 34 inches
What is the area of the circle using π = 3.14?
53.38 in2
106.76 in2
907.46 in2
3,629.84 in2
Answers
Answer:
Step-by-step explanation:
Formula: A=πr2
3.14 x 17^2 = 907.46 in2
√-25/√9 please solve
Answers
Step-by-step explanation:
The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.
Let's break down the expression step by step:
√(-25) / √9
The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.
√(-1) is equal to "i," and the square root of 25 is 5.
So, the expression becomes:
i * 5 / √9
The square root of 9 is 3.
Now, we can simplify further:
i * 5 / 3
Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.
How often are you required to make payments on an auto loan?
Option A Once a week.
Option B Every other week.
Option C Once a month.
Option D Every time you get a paycheck.
Answers
Answer:
C is the answer
Step-by-step explanation:
hope this helps
Kim and Dan sold 160 homes together. Kim sold 4 times more than Dan. How many homes did Kim sell?
Answers
160 - 32 = 128.
32 • 4 = 128.
Kim has sold 128 houses.
Dan has sold 32 houses.
There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 10¹ coins how many coins are there all together?
Answers
Using simple multiplication, we concluded that Total coins equals 127 × 10 ⁷
What is a multiplication?Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.
People in the United States = 3.1 x 10⁸
each person has 4.1 x 10¹ coins
Total coins = ( 4.1 x 10¹ ) × ( 3.1 x 10⁸ )
Total coins = 12710000000
= 127 × 10 ⁷
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A circle has a center at (-4,-1) and a radius of 9.Create the equation of the the circle:(x2+ (yWord Bank:- 4 -1 81 18 3 +4 + 1Blank 1:Blank 2:Blank 3:
Answers
Substitute the given values into the center-radius form of the equation of a circle.
\((x-h)^2+(y-k)^2=r^2\)where (h,k) is the center of the circle and r is the radius of the circle.
Thus, we have the following equation.
\(\begin{gathered} (x-(-4))^2+(y-(-1))^2=(9)^2 \\ (x+4)^2+(y+1)^2=81 \end{gathered}\)Thus, the answers for the blanks are as follows.
Blank 1: +4
Blank 2: +1
Blank 3: 81
Solve 5x-y=5 and 2y-x^2=11 without using trial improvement
Answers
Answer:
x = 7, y = 30 and x = 3, y = 10
Step-by-step explanation:
5x - y = 5, then y = 5x - 5
2y - x^2 = 11
2(5x - 5) - x^2 = 11
10x - 10 - x^2 = 11
-x^2 + 10x -10 = 11
-x^2 + 10x -21 = 0
x^2 - 10x + 21 = 0
(x - 7)(x - 3) = 0
x = 7, y = 30
x = 3, y = 10
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answers
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
PLEASE HELP!!!!!!!!!!
Answers
Step-by-step explanation:
\( = - \frac{5}{9} - ( - \frac{14}{15} )\)
\( = - \frac{5}{9} + \frac{14}{15} \)
\( = - \frac{5 \times 5}{9 \times 5} + \frac{14 \times 3}{15 \times 3} \)
\( = - \frac{25}{45} + \frac{42}{45} \)
\( = \frac{ - 25 + 42}{45} \)
\( = \frac{42 - 25}{45} \)
\( = \frac{17}{45} \)
¿como se escribe 115.6 millones
en número?
Answers
Answer:
Solo multiplica la cifra mensual por los meses del año (12) es decir
115,6 MC x 12 = 1387,2 MC
MC = Millones de Cerdos
espero que te ayude
Step-by-step explanation:
115,600,000
Aplicando proporciones, hay que 115.6 millones en número es escrito como 115.600.000.
Este problema puede ser solucionado por proporciones, aplicando una regla de três.1 millón es escrito como 1.000.000. ¿como se escribe 115.6 millones ?La regla de três es:
1 millón - 1.000.000
115.6 millones - x
Aplicando multiplicación cruzada:
\(x = 115.6(1.000.000) = 115.600.000\)
115.6 millones en número es escrito como 115.600.000.
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A board game uses a deck of cards that players draw from to move tokens around the board. The probability of selecting a card that moves a player's token forward is 32%. Over the course of a game, the deck is shuffled and reused as necessary. Approximately how many cards must be drawn from the deck before players' tokens move forward 50 times?
Answers
Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
\(E_s(X) = \frac{q}{p}\)
In this problem, the parameters are given as follows:
q = 50, p = 0.32.
Hence:
\(E_s(X) = \frac{50}{0.32} = 156\)
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*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
Answers
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.
How much interest has been earned?
Answers
Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u
Step-by-step explanation:
https://www.wyzant.com/match
Van is studying the effects of an indoor pool
temperature on the number of swimmers. He made
this histogram to display his data.
Which statement is best supported by the data?
A:The pool has the least number of swimmers
O when the temperature is between 71 and
75°F.
B:The temperature of the pool doesn't
influence the numbers of swimmers.
C:The pool has the greatest number of
swimmers when its temperature is between
81 and 85°F.
D:More people swim when the temperature of
the pool is the warmest.
Answers
Answer:
The answer is C
Step-by-step explanation:
hope this helps
in the fruit bowl there are 12 bananas 8 apples and 4 oranges. do for every one orange there are ___ bananas
Answers
For every 1 orange in the fruit bowl there are three bananas.
According to the question,
We have the following information:
In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.
Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:
4 oranges = 12 bananas
Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.
So, we have the following expression:
1 orange = 12/4 bananas
1 orange = 3 bananas
Hence, for every 1 orange in the fruit bowl there are three bananas.
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