Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?
A.
{-4, 4, 14}
B.
{2, 4, 9}
C.
{-12, -4, 6}
D.
{12, 4, -6}
Answers
Answer:
The range is {12, 4, -6} ⇒ D
Step-by-step explanation:
The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation
∵ The relation is 12x + 6y = 24
∵ The domain of the function is {-4, 0, 5}
→ That means x = -4, 0, 5, we need to find their corresponding values of y
∴ Substitute the values of x in the relation
∵ x = -4
∴ 12(-4) + 6y = 24
∴ -48 + 6y = 24
→ Add 48 to both sides
∴ -48 + 48 + 6y = 24 + 48
∴ 6y = 72
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{72}{6}[/tex]
∴ y = 12
∵ x = 0
∴ 12(0) + 6y = 24
∴ 0 + 6y = 24
∴ 6y = 24
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{24}{6}[/tex]
∴ y = 4
∵ x = 5
∴ 12(5) + 6y = 24
∴ 60 + 6y = 24
→ Subtract 60 from both sides
∴ 60 - 60 + 6y = 24 - 60
∴ 6y = -36
→ Divide both sides by 6 to find y
∴ [tex]\frac{6y}{6}=\frac{-36}{6}[/tex]
∴ y = -6
∵ The range is the values of y which corresponding to the domain
∴ The range is {12, 4, -6}
The answer is down below have a good day!!!
Related Questions
Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?
15x > 8(x + 25)
15x > 8x + 25
15x > 8 + 25x
15x < 8x + 25
Answers
Answer: 15x > 8(x + 25)
that is what i think i am not very good a math sorry
Step-by-step explanation:
Answer:
15x > 8(x + 25)
Step-by-step explanation:
I think this is the answer
The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.
Over 400 million USD Under 400 million USD Total
Summer release 54 1252
Winter release 6 547
Total
Required:
a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?
b. Calculate the difference in the proportions of movies that earned over 400 million dollars.
Answers
Answer:
dont know..................Sixteen years after purchasing shares in a mutual fund for $6200, the shares are sold for $11,000. The the total return is %.
Answers
9514 1404 393
Answer:
77.42%
Step-by-step explanation:
The increase in value is ...
(11000/6200 -1) × 100% ≈ 77.42%
now? A)12 years b] 15 years
c] 194 years d] 21 years
472) The ratio of
heir age arier
471) Ratio of Aashok's age to sandeep's age is 4:3. Ashok will be 26 years old after 6 years. How old is Sandeep
Answers
Answer:
Sandeep would be 15 years old.
Step-by-step explanation:
If Ashok is 26 in 6 years he is 20. We need to simplify 20 to 4.
20/4 = 5
So that means Sandeep’s age would be 5 x 3
5 x 3 = 15
20:15 simplified is 4:3
Which measure is equivalent to 126 in.?
1 ft = 12 in.
1 yd = 3 ft
Answers
Answer:
3.5 yd is your answer
Step-by-step explanation:
First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.
Divide the amount of inches you have with 12.
126/12 = 10.5
Next, solve for yards. It is given to you that 1 yard = 3 feet.
Divide the amount of feet you have with 3.
10.5/3 = 3.5
3.5 yd is your answer
7 x7 dived by 5 plz helppppvme
Answers
Answer:
Step 1) 7*7 = 49
Step 2) 49/5 = 9.8
Answer:
Step-by-step explanation:
7x7=49, 49 divided by 5=9.8, hope I helped! :P
Expression to the same value as 10 to the power of six
Answers
Answer:
10+10+10+10+10+10=1000000
Step-by-step explanation:
5 2/5 is ___ 3 1/2, is it greater than or less than
Answers
Answer:
5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2
Step-by-step explanation:
Answer:
I believe that 5 2/5 is greater than 3 1/2
Help APSPPP!!!!!!!!!!!!
Answers
Answer:
ok what u need help with
Step-by-step explanation:
With the money she had saved by working, Jennifer wanted
Answers
Answer:a car
Step-by-step explanation:
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let
x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise
Required:
Using the decision variables x4 and s4, write a constraint that sets next week.
Answers
Answer:
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
Step-by-step explanation:
The cost for the four cylinder production line is [tex]C_4 = \$2,100[/tex]
The cost for the six cylinder production line is [tex]C_6 = \$3,500[/tex]
The manufacturing cost for each four cylinder is [tex]M_4= \$13[/tex]
The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]
The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]
The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
What are the partial products that result from multiplying 15 x 32? (____ x ____) + (____ x ___) + (____ x ____) + (____ x ____)
Answers
Dividing both into this (15 x 32) below.
15=10+5
32=30+2 and both of the equations will give you the result of 4 partial products.
10x30=300
5x30=150
10x2=20
5x2=10
To show that the triangles are congruent, triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZY
a rotation of 180° clockwise about the origin followed by a dilation of 1.2 with the center of dilation at the origin
a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units
a rotation of 270° clockwise about the origin followed by translations left 1 unit and up 10 units
a reflection over the x-axis followed by a reflection over the y-axis
Answers
Answer:
a rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units
Step-by-step explanation:
Rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
We have to show that triangle ABC could be transformed by which movement(s) to fit exactly on triangle XYZ.
Rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
So if triangle ABC is rotated about 90 degrees clockwise about the origin followed by translated down 1 unit and left 10 units we get XYZ.
Hence, rotation of 90° clockwise about the origin followed by translations down 1 unit and left 10 units is the required transformation.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
What is the y intercept of the line in the graph shown?
The equation of the line is y=__x__
!! QUICK WILL MARK BRAINLIEST !!
Answers
the slope is 1, it goes up and to the right by 1 unit, and the y intercept is -2.
y=-4/5x-5..........................,........
Answers
Answer:
what is the question exactly?
Step-by-step explanation:
you just gave me an equation to work with
choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4
y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7
Answers
Answer:
y = 4x +11Step-by-step explanation:
[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]
Substitute values into point slope form
[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]
Collect like terms and simplify
[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]
Answer:
y=4x + 11
Step-by-step explanation:
y = mx + b
y = 4x + b
-1= 4(-3) + b
b= 11
y= 4x + 11
Use the properties of operations. a. The Commutative Property is true for addition. For example, 7+2= 2+7. Does the Commutative Property apply to subtraction? Is 2-7 equal to 7-2? Explain.
Answers
Step-by-step explanation:
Commutative property of addition is a+b=b+a
7+2=9 , 2+7=9
9=9
So, commutative property is true for addition
2-7=-5 , 7-2=5
-5 is not equal to 5
Commutative property does not apply to subtraction
Factorise fully
-y - 6
this is my last question for today, right answer will be marked brainiest
Answers
Answer:
[tex]-(y+6)[/tex]
Step-by-step explanation:
[tex]-y-6\\\\=-(y+6)[/tex]
Answer:
-(y+6)Step-by-step explanation:
[tex] - y - 6[/tex]
Common factor : -1
[tex] - 1(y + 6) = \\ - (y + 6)[/tex]
The points on a scatterplot increase rapidly. You run a linear regression on
the data. The residual plot shows a pattern, and is low.
Which of these methods would likely result in a better model of the data?
A. Run a quadratic regression on the data and then linearize the data.
B. Linearize the data by taking the log of the response variable, and
then run a linear regression.
C. Linearize the data by taking the logs of both variables, and then
run a linear regression.
D. Linearize the data by taking the log of the response variable, and
then run an exponential regression.
Answers
Answer:
B
Step-by-step explanation:
The method that would most likely result in a better model of the data is to :
Linearize the data by taking the log of the response variable, and then run a linear regression.
A linear regression can be expressed as
[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]
The linear regression is applied to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.
Answer:
B
Step-by-step explanation:
Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10
Answers
Answer:
C
Step-by-step explanation:
Commutative property means to add in a different order.
How do you determine the absolute maximum and minimum values of a continuous function on a closed interval?
Answers
Answer:
Steps are detailed below.
Step-by-step explanation:
The steps to determine the absolute maximum and minimum values of a continuous function on a closed interval are;
For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)
The steps are;
Step 1:
We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.
Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)
Step 2:
Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.
Step 3;
Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.
Step 4;
The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).
I need help on thisss
Answers
Answer:
1) 4 pots
Left over 2
2) 168 to make 12
122
3) 9
18
Step-by-step explanation:
Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?
Answers
Answer:
I think its 3/2
hope it will help you
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither Hint(use slope formula)
Answers
How many gallons are in Two-fifths of a One-half-gallon container of milk?
Answers
Answer:
one tenth of a galon
Step-by-step explanation:
I think this is the answer hope this helps (:
Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answers
Answer:
0.91924
Step-by-step explanation:
Given that :
A normal distribution has ;
Mean (m) = 109.0 inches
Standard deviation (σ) = 10 inches
Sample size (n) = 25
Probability that randomly picked years is less than 111.8 inches
Using the Zscore relation :
Zscore = (x - m) / (σ/√n)
x = score = 111.8 inches
Zscore = (111.8 - 109.0) / (10/√25)
Zscore = (2.8) / (10/5)
Zscore = 2.8 / 2
Zscore = 1.4
P(Z < 1.4) = 0.91924 ( using z probability calculator)
P(Z < 1.4) = 0.91924
A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?
Answers
Answer: 30
Step-by-step explanation:
The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.
Find the cost price. selling price 6097 loss percent=9%
Answers
Answer:
6645.73
Step-by-step explanation: 6097 multiplied by .09= 548.73, then you add that to 6097 wich gives you a total of 6645.73
Write a math expression for total number of sticks in one pack of red sticks and one pack of blue sticks. There’s 8 red in a pack and 12 blue in a pack.
Answers
Answer:
8:12
Step-by-step explanation:
It's a ratio!
How many red is there? 8!
How many blue is there? 12!
So red to blue is 8:12!
Answer: The total number of sticks in one pack of red and one pack of blue is (8 + 12).
Step-by-step explanation: it is the answer edmentum gave me
The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 55
Answers
Answer:
[tex]P(X = 5) = 0.166[/tex]
Step-by-step explanation:
Given
[tex]Mean = 4.3[/tex]
[tex]x = 5[/tex]
Required
Determine the probability that the order is 5
This question can be answered using Poisson distribution.
[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]
Where
[tex]\alpha[/tex] is used to represent the mean
and
[tex]\alpha = 4.3[/tex]
[tex]x = 5[/tex]
[tex]e = 2.71828[/tex] ---- Euler's constant
So, we have:
[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}[/tex]
[tex]P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}[/tex]
[tex]P(X = 5) = \frac{19.9469850243}{120}[/tex]
[tex]P(X = 5) = 0.1662248752[/tex]
[tex]P(X = 5) = 0.166[/tex] Approximated