1. Use the function rule to complete the table. -10+y=4
2. What is the function rule for the second picture?
Please answer to both questions.
Answers
left to right
-16
-6
4
14
24
2)y= -1-5x
Solution:
The Given Linear Function is
-10 x + y = 4
y= 4 + 10 x
1. x= -2
y = 4 + 10* (-2)
= 4 - 20
= -16
2. x= -1
y = 4 + 10* (-1)
= 4 -10
= -6
3. x=0
y = 4 +10* (0)
=4
4. x=1
y= 4 +10 * (1)
= 4+10
=14
5. x=2
y= 4 +10*2
= 4 +20
= 24
2. Function Rule
Slope between two points or coordinates in two dimensional plane is
[tex]=\frac{4-9}{-1+2}=\frac{-1-4}{0+1}=\frac{-6+1}{1-0}=\frac{-11+6}{2-1}= - 5[/tex]
Slope between two points is same.
This will be linear function.
Equation of line will be
y - 9= -5 * (x+2)
y -9 = - 5 x - 10
y + 5 x+10 -9=0
5 x + y+1=0
Related Questions
It costs 3 tickets to play a game at the fair. If you spent 21 tickets on the game, which equation could you use to solve for the number of games, g?
A. 21g=3
B. 21·3=g
C. g3=21
D. 3g=21
Answers
Answer:
Option D. 3g=21
Step-by-step explanation:
Let
g -----> the number of games
we know that
The number of games multiplied by 3 tickets to play a game must be equal to 21 tickets
so
The linear equation that represent this problem is
[tex]3g=21[/tex]
solve for g
Divide by 3 both sides
[tex]g=7[/tex]
Answer:
3g=21
Step-by-step explanation:
im smart (not really though){i got it right on imagine math}
:0
The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups:
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Which group best represents the population he should take a random sample from to get the best results for his survey?
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Answers
Answer:
All students in each grade.
Step-by-step explanation: This is the answer that givs the most variablity. Your welx if its correct :)
Given: ABCD is a trapezoid,
AD = 10, BC = 8,
CK
- altitude
Area of ∆ACD = 30.
Find: Area of ABCD
Answers
Therefore, the area of trapezoid ABCD is 54 square units.
To find the area of trapezoid ABCD, we can use the properties of a trapezoid and the given information.
First, let's denote the unknown base of the trapezoid as BD = b. Since AD and BC are the other two bases, we have AD = 10 and BC = 8. The height of the trapezoid is the same as the altitude of triangle ACD, which is KC = h and is given to be such that the area of triangle ACD is 30.
The area of a triangle is given by the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
For triangle ACD, we have:
[tex]\[ 30 = \frac{1}{2} \times AD \times h \][/tex]
[tex]\[ 30 = \frac{1}{2} \times 10 \times h \][/tex]
[tex]\[ h = \frac{30 \times 2}{10} \][/tex]
[tex]\[ h = 6 \][/tex]
Now that we have the height of the trapezoid, we can calculate the area of the trapezoid using the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height} \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times (AD + BC) \times h \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times (10 + 8) \times 6 \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times 18 \times 6 \][/tex]
[tex]\[ \text{Area} = 9 \times 6 \][/tex]
[tex]\[ \text{Area} = 54 \][/tex]
Calculate the area of a circle with a diameter of 6cm
Answers
A=πr²
Here diameter, d= 6 cm
Radius, r= d/2 = 6/2 = 3 cm
Put values
A= 3.14 x 3²
A=3.14 x 9
A=28.26 cm²
Answer: 28.26 cm²
We'll do it in terms of Pi, as a variable, and in terms of pi as 3.14
We know that since the diameter is from one side to the other in a circle, dividing it by 2 will give you the radius - the distance to the middle. We plug in this radius to our area formula:
a = [tex] \pi (r^2)[/tex]
a = [tex] \pi (3^2)[/tex]
a = 9[tex] \pi [/tex]
If our area is 9 pi, we can multiply 9 by 3.14 to get an approximate value:
A = 3.14(9)
A = 28.26
Hope this helps!
HELP ASAP
Find the system determinant of the given matrix.
-30
-6
6
30
Answers
The determinant of 2 x 2 matrix can be calculated as follows:
1) Multiply the main diagonal elements.
The main diagonal elements are 2 and -9. Multiplying them we get -18
2) Multiply the remaining two elements (Non diagonal elements)
The other two elements are 3 and 4. Multiplying them we get 12.
3) Subtract the product of non diagonal elements from the product of diagonal elements, this will give the determinant of the matrix.
So, determinant will be = -18 - 12 = -30
In one step, this can be done directly as:
Determinant = 2(-9) - 3(4) = - 30
So, option A gives the correct answer
45 minus 4.5. Show work
Answers
45-4=41; 44, 43, 42, 41
41-.5= 40.5; 40.9, 40.8, 40.7, 40.6, 40.5
45-4.5=40.5
We can check by using addition.
40.5+4.5=
44+1=
45
Trevor rode his bicycle 25 miles in 2 hours. Assuming Trevor rode at a constant speed, how many miles did Trevor ride in one hour
Answers
A cube has a surface area of 1,014 square meters. what is the length of one side.
Answers
100 children attended a play on the trip 0.6 were girls. Which fraction represents the number of boys on the trip
Answers
Hope this helped!
The number of boys who attended the play is 40. Expressing this as a fraction of the total children (100), we get 40/100, which simplifies to 2/5. So, the fraction representing the number of boys on the trip is 2/5.
Explanation:The provided information suggests that 60% (or 0.6) of the children on the trip, which were 100, were girls. This means the percentage or portion of girls on the trip is 0.6*100 = 60 girls. Since we're looking for the number of boys, we have to subtract this figure from the total number of children.
So, 100 total children - 60 girls = 40 boys. To express this as a fraction of the total number of children, we get 40/100. This fraction, however, can be simplified to 2/5, which is the fraction that represents the number of boys on the trip.
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If you flip two coins 12 times, what is the best prediction possible for the number of times both coins will land on tails?
_____ times
Answers
Answer:
3
Step-by-step explanation:
I know I'm late by 4 years but the answer is 3. This is because if you divide 12 by the 2 coins you'll get 6. You then need to divide it in half again because it's asking for both coins not only one. This gets you the answer of 3. I'm only writing this because other people may need help, 4 years later-
Identify and give all the appropriate names for three different quadrilaterals or other geometric figures in this Navajo eye-dazzler design.
Answers
Answer: I don’t know
Step-by-step explanation: I don’t know
Eleven is decreased by twice a number. Represent this statement using an algebraic expression.
1. 11x-2
2. 2x+11
3. 11-2x
4. 2x-11
Answers
What I did:
Eleven is decreased= "-11"
Twice a number="2x"
That equals 2x-11.
The required algebraic expression for the given statement is 11 - 2x. Option 3 is correct.
Given that,
Eleven is decreased by twice a number. To determine the correct option that shows the represents the statement using an algebraic expression.
The algebraic expression consists of constant and variable. eg x, y, z, etc.
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,
Let the number be x,
Eleven is decreased by twice a number.
= 11 - 2x
Thus, the required algebraic expression for the given statement is 11 - 2x. Option 3 is correct.
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When you write $1.35 what does the decimal point means
Answers
Rewrite y + 3 = 0 using function notation.
A) f(x) = 3
B) f(x) = -3
C) f(x) + 3 = 0
D) f(x) = y + 3
Answers
so you would bring everything over to one side
y + 3 = 0
subtract 3
y = -3
then
f(x) = -3
That is B)
Answer:
B) [tex]\displaystyle f(x) = -3[/tex]
Step-by-step explanation:
[tex]\displaystyle y ← f(x) \\ \\ y + 3 = 0; y = -3 \\ \\ f(x) = -3[/tex]
Use the diagram to help you solve the problem. Mark is a receptionist for Exclusive Auto Sales. His base salary is $21,000. He has a good year of customer service, so the company also gives him a 6 percent year-end bonus based on his salary. How much does Mark make, including his base salary and the year-end bonus?
Answers
Answer:
Step-by-step explanation:
Mark make $22,260 including his base salary and the year-end bonus.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Mark base salary = $21,000
And, He got 6% ear-end bonus based on his salary.
Now,
Find the including his base salary and the year-end bonus as;
Since, Mark base salary = $21,000
And, He got 6% ear-end bonus based on his salary.
So, The bonus = 6% of $21,000
= 6/100 x 21,000
= 1,260
Thus, Total salary = $21,000 + $1,260
= $22,260
Thus, Mark make $22,260 including his base salary and the year-end bonus.
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malia is at an amusement park she bought 14 tickets and each ride requires 2 tickets write an expression that gives a number of tickets malia has left in terms of x the number of rides she has already gone on find atlas one other expression that is equvalent to it
Answers
6 more than a number c
Answers
So the answer is:
C + 6
Answer:number c + 6
Step-by-step explanation:
You're adding 6 to the number c
What is the distance around a circle called?
Answers
The function f(x)=12,419× represents the number of vistors to a website x years after it was launched. Each year , the number of visitors is _____ the number the year before
A. 4 time
B. 0.4 times
C. 1.4 times
D. 4 more than
Answers
Answer: c for apex
Step-by-step explanation:
Answer:c is correct
Step-by-step explanation:
A square has side lengths of 2x inches. An equilateral triangle has side lengths of (2x+1/3) inches. If the square and the triangle have the same perimeter, what is the value of x?
Answers
(2X × 4 ) = [(2X +1/3) × 3]
8X = [(6X+1)/3×3]
8X = 6X+1
8X -6X = 1
2X = 1
X= 1/2
Answer : The value of 'x' is [tex]\frac{1}{2}[/tex]
Step-by-step explanation :
As we know that,
The perimeter of square = 4a
The perimeter of equilateral triangle = 3s
('a' is the side square and 's' is the side of equilateral triangle)
Given:
Side of square = a = 2x
Side of equilateral triangle = s = (2x+1/3)
As per question, the square and the triangle have the same perimeter. That means,
Perimeter of square = Perimeter of equilateral triangle
4a = 3s
Now put the value of 'a' and 's', we get the value of 'x'.
[tex]4\times (2x)=3\times (2x+\frac{1}{3})[/tex]
[tex]8x=6x+1[/tex]
[tex]8x-6x=1[/tex]
[tex]2x=1[/tex]
[tex]x=\frac{1}{2}[/tex]
Therefore, the value of 'x' is [tex]\frac{1}{2}[/tex]
What is the side length of a square with an area of 144x^2
Answers
Azul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radios of each brand 30 times at the same speed and measured how long the radios played in minutes before running out of power. The result of the experiment is displayed in the box plot below.
Answers
75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that Azul performed an experiment to determine which crank powered radio works best he crank 15 randomly selected radios of each branch 30 times at the same speed.
He measured how long the radio played in minutes before running out pal the results of the experiment are displayed in the box plot.
The sample results show that the crank powered radio of Branch A had a slightly higher average play time than the crank powered radio of Branch B, with a median play time of around 9 minutes and a range of 4-16 minutes.
75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
Hence, 75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
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Azul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radios of each brand 30 times at the same speed and measured how long the radios played in minutes before running out of power. The result of the experiment is displayed in the box plot below.
Secure hike emergency radio 4.0 21,22,24,25,25,25,25,26,27,29,30,30,30,30,33
Streamline radio 25,25,27,28,29,30,30,30,34,36,36,38,39,42
A. 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks, while only 25% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
B. 75% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
C. 100%of x- streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 25% of secure hike radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
The table shows numbers of books read by students in an English class over a summer and the students’ grades for the following semester.
a) Find the line of best fit. Write in the equation for the line of best fit.
b) Use your equation to predict the grade of a student who reads 15 books. Show all your work.
Answers
a) grade = 1.7207*books +73.35
b) grade for 15 books ≈ 99.2
For which of these sets of data would all the points be displayed on a scatterplot if the window size on a regression calculator were set to 5
Answers
This is the correct answer:
The table with the following:
X=6,7,9,11,13,14
Y=27,33,39,49,58,71
Lol, I didn't realize that was all this was.
Anyways, the table that matches that is correct, that's actually a bit obvious. The numbers you gave me are parameters, a limit. The numbers for x per y have to fall between those numbers listed.
Answer
A is the answer
Step-by-step explanation:
I took the test
Are relstioships that have an initial fee proportional or non-proportionial?
Answers
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?
Answers
For Adventure Play, 18 is the y-intercept (b) and the slope is 3.25 (m).
y = mx + b
y = 3.25x + 18
For King Music, 23 is the y-intercept and the slope is 2.
y = 2x +23
Since they both equal y, you can set them equal to each other and solve.
2x + 23 = 3.25x + 18
Get x on one side and a variable-free quantity on the other.
3.25x - 2x = 23 - 18
Simplify
1.25x = 5
Then divide both sides by 1.25 to get x by itself.
x = 5/1.25
x = 4
For four songs, the cost will be the same.
The total number of songs is 4 at which the total cost be the same and this can be determined by forming the linear equation in two variables.
Given :
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song.King Music sells a player for $23.00 and charges $2.00 per song.Let the total number of songs be 'x' and the total cost be 'y'. Now, Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song sp the total cost is given by:
y = 18 + 3.25x --- (1)
Also given that King Music sells a player for $23.00 and charges $2.00 per song so, the total cost is:
y = 23 + 2x --- (2)
Given the total cost will be the same, that is, equate equations (1) and (2).
23 + 2x = 18 + 3.25x
Simplify the above equation in order to determine the value of 'x'.
23 - 18 = 3.25x - 2x
5 = 1.25x
x = 4
So, the total number of songs is 4 at which the total cost be the same.
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Which graph shows the change in temperature of the water in the beaker y over time in minutes x?
Answers
It can’t be A, C and B, mainly because the starting temperature of the water in the beaker is not 0 but 20 degrees.
I’m not sure where the linear graph starts for at D, but if it is at 20 and follows the above criteria, including the final temperature remaining constant at 100 degrees for next 8 minutes then it is correct.
brooks planning a dinner party. he plans to give a choice of three kinds of salad: potatoe salad, tossed salad, and pasta salad, there will be three choices of meat: ham, chicken, and turkey. the dessert selections are ice cream, cake, and pie. how many salad/meat/dessert combinations are there?
Answers
Describe a cube.use the words faces,edges,and vertices in your description
Answers
Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expression using no more than one set of parentheses. 4(3x + 5y + 2z) + 3(x-z)
Tom wrote 12x + 20y + 8z
Jenna wrote 5(3x + 4y + z)
Chris wrote 15x + 20y − 5z
Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?