The table shows the number of diagonals that can be drawn from one vertex in polygon. Write an equation in function notation for the relation and find the number of diagonals that can be drawn from vertex in a 12-sided polygon.
Answers
Answer:
y = x - 3; 9 diagonals
Step-by-step explanation:
Find the equation: y = x - 3
Plug in 12: y = 12 -3
Solve: y = 9
9 diagonals
Hope this helps! Plz mark brainliest
The equation of function notation for the relation will be,
⇒ y = x - 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Table is shown in figure.
Two points on the table are (3, 0) and (4, 1).
Now,
Since, The equation of function passes through the points,
(3, 0) and (4, 1).
So, We need to find the slope of the function.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 0) / (4 - 3)
m = 1
Thus, The equation of function with slope 1 is,
⇒ y - 0 = 1 (x - 3)
⇒ y = x - 3
⇒ y = x - 3
Thus, The equation of function notation for the relation will be,
⇒ y = x - 3
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Related Questions
Can someone please write an equation to model this scenario which relates to the first two questions. I need it ASAP!
Matt works at a job where he makes a base pay of $200 per week and $50 per sale. (Use an x and a y. Y is the total amount he makes and x is the number of sales.)
: )
Answers
Answer:
y = 50x + 200
Step-by-step explanation:
the 200 is the y intercept because it is where his pay starts, so even if Matt doesnt make any sales he will still get 200 that week
the slope (50) is determined because that is what will change
if he makes 2 sales he will make 100 + 200 that week, and if he makes 4 sales he will make 200 + 200 that week and so on
School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 82 students? A. 6 chaperones B. 41 chaperones C. 7chaperones D 3 chaperones
Answers
Answer:
A. 6 chaperones
Step-by-step explanation:
Since it's 2 chaperones per 25 students you would need to see how many times 25 can fit into 82
82/25 = 3.28
You can round that number to 3
Then you'll multiply 3 by 2 to get your number of chaperones for the school trip
3 x 2 = 6
There's still students left but not enough for there to be another chaperone so the answer is 6
You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas you can buy?
Answers
Answer:
The inequality 0.39x ≤ 5.85 represents the number of bananas you can buy.
Step-by-step explanation:
Given that:
Amount of money you have to buy bananas = $5.85
Cost of each banana = $0.39
Number of bananas = x
You cannot spend more than $5.85, therefore, we will use less than or equal to symbol,
Cost of one banana * Number of bananas ≤ Total amount
0.39x ≤ 5.85
Hence,
The inequality 0.39x ≤ 5.85 represents the number of bananas you can buy.
What is the value of x in this figure?
Answers
Answer:
65
Step-by-step:
At a store, socks are sold with a different number of socks in each package. Which package has the lowest price per pair of socks?
A.
4 pairs for $4.99
B.
6 pairs for $7.99
C.
8 pairs for $10.99
D.
12 pairs for $15.99
Answers
Answer:
I'm sure the correct answer is A. 4 pairs for $4.99.
Step-by-step explanation:
Please tell me if I'm wrong. And also the answer is not B for other's that may think it is. I hope you find this helpful, have a great day.
. The ratio of boys to girls in Ms. Cunningham's class is 2 to 3. There are 21 girls in the class. What is the total number of students in Ms. Cunningham's class?
Answers
Answer:
14
Step-by-step explanation:
21 times 2 = 42
42 divided by 3 = 14
Given the points P(2, –6) and R(8, 3), what is the component form of Vector P R?
⟨6, -3⟩
⟨10, -3⟩
⟨6, 9⟩
⟨10, 9⟩
Answers
Answer:
C
Step-by-step explanation:
The component form of vector PR is ⟨6, 9⟩.
How to determine the component form of vector PRTo find the component form of vector PR, we need to subtract the coordinates of point P from the coordinates of point R.
The x-component of the vector is obtained by subtracting the x-coordinate of point P from the x-coordinate of point R:
x-component = 8 - 2 = 6
The y-component of the vector is obtained by subtracting the y-coordinate of point P from the y-coordinate of point R:
y-component = 3 - (-6) = 3 + 6 = 9
Therefore, the component form of vector PR is ⟨6, 9⟩.
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Can you arrange 25 small squares to make a larger square? Can you arrange
35 small cubes to make a larger cube?
Answers
What is an equation of the line that passes through the points (0, -4) and
(4.6)? Put your answer in fully reduced form.
Answers
Answer:
5-8. 10- 8 39-66 87 9-99 01 45,
Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form
Answers
Answer:
y=2(x+3.5)^2+0.50
Step-by-step explanation:
we have
y=(x+3)^2+(x+4)^2
y=x^2+6x+9+x^2+8x+16
y=2x+14x+25
rewrite now in vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
y-25=2x^2+14x
Factor the leading coefficient
y-25=2(x^2+7x)
Complete the square. Remember to balance the equation by adding the same constants to each side
y-25+24.50=2(x^2+7x+3.5^2)
y-0.50-2(x^2+7x+12.25)
Rewrite as perfect squares
y-0.50=2(x+3.5)^2
y=2(x+3.5)^2+0.50
the vertex is the point (-3.5,0.50)
therefore the answer is
y=2(x+3.5)^2+0.50
Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?
Answers
Answer:
Natalie cannot make it over the fence.
Step-by-step explanation:
After reading the statement, we must demostrate if the following inequation is possible, that is:
[tex]-16\cdot t^{2}+18\cdot t+5 \ge 12[/tex]
After some algebraic handling we find this equivalent expression:
[tex]16\cdot t^{2}-18\cdot t +7\le 0[/tex] (1)
The polynomial is factorized by the Quadratic Formula:
[tex]\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0[/tex]
Since all roots are complex, we conclude that Natalie cannot make it over the fence.
A group of 12 students is deciding whether to go to the science center of the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.
How much will a group of 12 students save by choosing the science center?
Answers
Answer:
147
Step-by-step explanation:
If they go to the science center it will cost 3 people 36.75 cents so for 12 people it would be 36.75*4=147( I think let me know if I am wrong).
The system of equations is graphed on the
coordinate plane.
y = x - 1
y = -2x - 4
Enter the coordinates of the solution to the
system of equations in the boxes.
(___,___)
Answers
Miles has 10 red marbles, 3 blue marbles and 5 green marbles. He randomly chooses a marble out of a bag 150 times. Make a prediction of how many times Miles will pull a green marble
A Close to but not exactly 30
B Close to but not exactly 300
C Close to but not exactly 90
D Close to but not exactly 45
Answers
Answer:
D
Step-by-step explanation:
How many yards are there in 14 1/2 miles?
Answers
Answer:
25520
Step-by-step explanation:
round the number 1 560 to the nearest thousands place
Answers
Answer:
2000
Step-by-step explanation:
Answer:
2,000
Step-by-step explanation:
the reason of this is the one becomes a two so the other numbers go to zero
then there is a possible another answer 1060 but i think it is wrong so the answer is 2,000.
if you like my question please send brainiest thanks.
what is a gross pay ?
Answers
This is correct... Net pay is after deductions
For households and individuals, gross income is the sum of all wages, salaries, profits, interest payments, rents, and other forms of earnings, before any deductions or taxes. It is opposed to net income, defined as the gross income minus taxes and other deductions
How many 1 fourths are in 3 fourths?
Answers
Answer:
12
Step-by-step explanation:
This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.
Guess my number between 1-5 and u will get brainliest
Answers
Answer:
3
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
I WILL GIVE BRAINILEST AND 5 STAFS IF CORRECT
Use the expression 9(7 + 2x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Answers
Answer:
Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).
Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).
Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.
Kyle’s school needs to buy posters for a fundraiser. The school has a budget of $147. Each poster costs $13. About how many posters can his school buy? Solve this problem any way you choose
Answers
Answer:
Eleven. or 11.
Step-by-step explanation: 147 divided by 13 is 11 with a remainder of 4. He would have 4 dollars left over. If he bought 11 posters.
identify and measure six items in the home that are measured in imperial units
Answers
Answer:
Step-by-step explanation:
1. a 12 inch ruler
2. a set of measuring spoons (tablespoon, teaspoon ...)
3. a measuring cup that is calculated in pints and quarts not the cup defined by a liter.
4. Though not in the home, an imperial gallon is larger than the American gallon and a liter is smaller than the imperial quart.
5. A cup for a cup of copy is sometimes an imperial cup.
The expression 2y+ 2.6 is equal to ? for y=5
Answers
Answer:
Its 12.6
Step-by-step explanation:
first we multiply 2 by 5 and get 10. Then we add 10 to 2.6 and get 12.6 for your answer.
Answer: 12.6
Step-by-step explanation:
2(5)+2.6
10+2.6
12.6
I need help with this to
Answers
Explanation:
Let X = -2 and Y = 10
Y = -3x + 4
10 = -3*(-2) + 4
10 = 10
Which checks out.
Which equation matches the graph y=-1x+3 , y=1x, y1x+3, y=-1x can you guys tell me which equation matches the graph with explanation
Answers
Answer:
y = 1.x + 3
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Since, y-intercept and x-intercepts are equal,
Let the given line passes through (0, 3) and (-3, 0),
Slope of the line (m) = [tex]\frac{3-0}{0+3}[/tex] = 1
y-intercept of the line 'b' = 3
Equation of the line will be,
y = 1.x + 3
Percy's Pizzeria made 4 pizzas with pepperoni and 59 pizzas without pepperoni. What is the ratio of the number of pizzas with pepperoni to the number of pizzas without pepperoni? I had got 15/59 i wanna know if it is correct.
Answers
Answer:
4 : 59
Step-by-step explanation:
Close. But good try
So what is "ratio?"
Well seems like you got 15/59 i think you meant 15:59 right? ratio has a : in it.
But, you see there is only 4 pizzas with pepperoni in it so actually it should be
4 : 59
Good attempt anyways Trying is always better than nothing.
The number line shows the locations of points A and C.
If point B is 1/3 of the way from point A to point C, what is the coordinate of point B ?
Answers
Answer:
Point B would be at 2.5
Step-by-step explanation:
The points have an 8 umber distance so numbers 2 and 3 are the middle numbers and the middle of those numbers would be 2.5.
Answer:
2.5
Step-by-step explanation: i did it on a test and got it right
His problem probably won’t be too hard! Help please I need it ASAP
Answers
Answer:
24
Step-by-step explanation:
24 is the answer ksnskskskndndkdnd
Pleas help me on this
Answers
Answer:
3x
Step-by-step explanation:
x+x+x
=3x
if i am wrong than sorry
What is the answer to: 5/2 - 4/3
Answers
Answer:
7/6
Step-by-step explanation:
5/2-4/3
=(5*3-4*2)/2*3
=(15-8)/6
=7/6