First, you find the slope.
This is done by plugging in to the equation y2 - y1 / x2 - x1
Let 6 and 4 by x2 and y2 and 4 and 1 be x1 and y1.
4-1 / 6-4 = 3/2
The slope is 3/2.
Now, y = 3/2 x +b
To solve for b, plug in a point.
I plugged in (6, 4)
4 = 3/2(6) + b
4 = 9 + b
-5 = b
So, the equation is y = 3/2 x - 5
Hope this helps
[tex]y = \frac{3}{2} x - 5[/tex]
The total number of students enrolled at Twin Rivers Middle School is 2,000 students. If the ratio of boys to girls is also 3 to 2 for the school, how many students are boys and how many students are girls at Twin Rivers Middle School? Prove your answer by showing your work.
Answer:
3:2
3 to 2
or
3/2
Step-by-step explanation:
Answer:
There are 800
Step-by-step explanation:
divide 2000 by 5
That gives you an even distribute of 400
so if you have 3 for boys that gives you 1200
What is left is two which is 800 so the answer is 800
2000(divide symbol)5=400
400+400+400=1200 (boys)
400+400=800(girls)
Gemma makes a conjecture that the sum of an odd integer and itself is always an even integer. Which choice is the best proof of her conjecture?
A) Look at these different examples: 7 + 7 = 14, 13 + 13 = 26, 23 + 23 = 46. So the sum of an odd number and itself must be even
B) Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
C) Let n represent an odd number, and let n + n be an even number. Therefore, n + n = n + n, which shows that the sum of an odd number and itself is even.
D) Every time you add an odd number and itself, the sum is an even number.Every time you add an odd number and itself, the sum is an even number.
Answer:
Let 2n + 1 be an odd number...... B/2nd option
Step-by-step explanation:
The best choice is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.
Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
What is Conjecture?A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.
First, Only three examples are given which is not appropriate at all.
Second, This is the best proof is
Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
Fourth, State the meaning of Title without proof.
Learn more about Conjecture here:
https://brainly.com/question/29153415
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Help? Find angle psw
Which relation represents a function?
A. (0, 0), (2, 3), (2, 5), (6, 6)
B. (3, 5), (8, 4), (10, 11), (10, 6)
C. (negative 2, 2), (0, 2), (7, 2), (11, 2)
D.(13, 2), (13, 3), (13, 4), (13, 5)
For choices A, B and D, the x values repeat in some way.
Choice A has x = 2 repeated
Choice B has x = 10 repeated
Choice D has x = 13 repeated
A function cannot have repeated x values. Put another way, a function is only possible if any given x input goes to exactly one y output.
Choice C shows each x value listed once only. If you were to graph these points, then the relation will pass the vertical line test.
Please help me and explain your answer and how you got it.
Answer:
35
Step-by-step explanation:
Its the only one that really makes sense.
A circular pizza with a diameter of 10 inches is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?
Answer:
117.46 sq in
Step-by-step explanation:
The area of the square is 196 sq in, and the area of the circle is 78.54 sq in. Subtracting this gives us the empty space, which is 117.46 sq in. Hope this helps
177.46 inch²
hello
would you like to be my friend? ≧ω≦
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Myself Ojasvi
Class 8, 13
India
Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, and some of them get lost. When Marco tries to put them away again, he ends up with 45 blocks in one box, 53 in another, 46 in a third, and 51 in the fourth. How many blocks are missing
What is the slope of the graph of 3x - 3y = 6?
Answer:
pls help
Step-by-step explanation:
Can someone help really quickly?
mrs.jacobson asked her students to write a world problem that describes the graph below. which world problem accurately describes the graph?
Answer:
please attach the graph
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimum number of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
[tex]Sidewalk = 100ft\ by\ 4ft[/tex]
[tex]Brick = 8 in\ by\ 4 in[/tex]
Required
Calculate the minimum bricks needed
To start with, we calculate the area of sidewalk
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
Next, we calculate the area of sidewalk
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Divide area of sidewalks by area of bricks to give number of bricks
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert units ([tex]ft^2[/tex] to [tex]in^2[/tex])
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
A coin weighs 5/6 ounces. Ann picked up 3 of these coins.
What is the total weight of the coins she picked up?
Write your answer in simplest form.
The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1 2 Complete the chart and determine the solution of the equation f(x) = g(x).
Answer:
X=1 or C
I hope this helps:)
Answer:
The Answer is C. x = 1
Hope This Helps!
Can someone help me with this? Multiply (3.1•10^5)(1.8•10^2)
Answer:
5.58 x 10^7
Step-by-step explanation:
Which of the following is a perfect square trinomial?
A. x + 10x + 20
B.x?+ 10x + 50
C.x + 10x + 25
D.x? + 5x + 10
Answer:
A
Step-by-step explanation:
Help me please, very important!!! (PLEASE)
Read the question carefully!
4.5x-1.5y=5.4 solve equation for y
Answer:
y=-3.6+3x
Step-by-step explanation:
2-83. Build, simplify, and solve each equation. Record your work. Drag the tiles below into the equation mat.
a. -x+ 2 = 4
Answer:
you need to add 2 to the x and convert it to negative X=-2
Step-by-step explanation:
A fish tank can
hold 17 fish. It
started with 3.
Goldie puts in 2
new fish per day.
why doesn’t 0^1 equal 0 but 1^1 equals 1 and 1^0 . can you explain why?
Answer:
because 0^1 equals 1
Step-by-step explanation:
in most cases anything to the power of 0 would equal one so that means that 0 to the power 1 would equal one.. I think
9.36 divided by 0.52
Answer:
9.36 / 0.52 = 18
Step-by-step explanation:
Divide them.
Can you guys please help me!!!!
Answer:
The graph of y = x^3 has been translated 3 units to the right and 4 units upward
Thanks and have a great day!
If f(x) = -2 cos x, findf(-300 º). Do not use a calculator.
Answer:
- 1
Step-by-step explanation:
Using the trigonometric identity
cos(- x) = cosx and exact value cos60° = [tex]\frac{1}{2}[/tex]
Given
f(x) = - 2cosx , then
f(- 300° )
= - 2cos(- 300)°
= - 2cos(300)°
= - 2cos(360 - 300)°
= - 2cos60°
= - 2 × [tex]\frac{1}{2}[/tex]
= - 1
-2 ( 1/4x + 2) > or equal to 5
Please Help!
Subtract.
(2x^4−x^2+5x−2)−(−x^4+3x^3+2x^2−1)
Answer:
Heya!!
here's your answer
3x^4 − 3x^3 − 3x^2 + 5x −1
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled? 29 32 3212 234916
Answer: 30 small bags
Step-by-step explanation:
From the question, we are informed that Daniel works in a market and that he has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each.
When he uses up all the potatoes, the number of smaller bags of potatoes that Daniel will have filled will be 6514 divided by 214. This will be:
= 6514/214
= 30.43
= 30 small bags
What number would go in the blank? (3 • 5) • 2 = 3• C • 2)
Answer:
its 5
Step-by-step explanation:
find the midpoint of the line segment joining the points. (6, -5), (6, 3)
Answer:
The mid point is (6,-1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
3-5/2
6-6/2
-2/2=-1
0/2= 0
(-1,0)
Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
A possible solution is she should by 6 bags of popcorn and 10 drinks
Step-by-step explanation:
The price of each bag of popcorn = $7.50
The price of each drink = $4.50
The amount Sarah has to spend = $90
The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks
Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y
Therefore, we have;
x + y ≥ 16.....(1)
x × 7.5 + y × 4.5 ≤ 90
Which gives;
7.5·x + 4.5·y ≤ 90....(2)
Rewriting the inequalities as a function of y, gives;
From inequality (1), x + y ≥ 16, we have;
y = ≥ 16 - x
From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;
7.5·x + 4.5·y ≤ 90
4.5·y ≤ 90 - 7.5·x
y ≤ 90/4.5 - 7.5/4.5·x
y ≤ 20 - 5/3·x
Please find attached, the plot of the inequalities
A possible solution is given as the value of x = 6, where y = 10
Therefore, she should by 6 bags of popcorn and 10 drinks.
pls answer properly im giving all my points for this question
47 points
Answer:
A)
Step-by-step explanation: