A chess team is ordering customized T-shirts for a competition. The table shows the cost of ordering different numbers of T-shirts. Write a
linear model that represents the cost as a function of the number of shirts
Answers
Answer:
y=8x+36
Step-by-step explanation:
Use y=mx+b. First find m, the slope.
To do that, use y2-y1/x2-x1. Use any two point combinations from the table. You can use (6,84) and (12,132).
Y2 would be 132 and Y1 would be 84, and X2 would be 12 while X1 is 6. Just look at the pointss. For example, Y2 is 132 because (12,132). 132 is in y's spot. Same goes for x.
Now that we got y2, y1, x2, and x1, we can plug it into the formula and solve.
y2-y1/x2-x1= 132-84/12-6= 48/6= 8
This means the slope is 8. Now, we need to find the y intercept.
Use y=mx+b again and use any pair of points. I'm going to use (6,84).
y=mx+b. Plug in the slope, which is 8.
y=8x+b
y=8x+b. Plug in the y. The y variable is 84 so plug that in.
84=8x+b. Same for the x. The x variable is 6 so plug that in as well.
84=8(6)+b. Now simplify it.
84=48+b. You want to isolate b to find the y intercept so move the 48 to the left side.
It's now 84-48=b. The 48 because negative because whenever you move a number to the other side, it switches its sign.
Solve.
84-48=b
36=b or b=36. So the y intercept is 36.
We now have our slope and the y intercept.
Slope: 8
Y intercept: 36
We can plug that into y=mx+b a final time.
y=8x+36
The equation of the linear model is y = 8x + 36
The standard form of a linear equation is given by:
y = mx + b
Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).
Let x represent the number of T-shirts and y represent the cost
Therefore we can use any two points to determine the linear equation to represent the model of the line in the form (x, y).
Using the points (6, 84) and (24, 228). The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-84=\frac{228-84}{24-6} (x-6)\\\\y-84=8x-48\\\\y=8x+36[/tex]
The equation of the linear model is y = 8x + 36
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Related Questions
If f(x) is a linear function and f(-4) = 0 and f(2) = -3, what is the value of f(-8)?
Answers
Answer:
answer is [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
f(x)=y
basically this is just showing the y values
Answer:
the answer is - 3/2
Step-by-step explanation:
it.
2. 5,907
What is the place and value of the 9
Answers
Answer:
25.907= 9 terceira casa a direita ( centena), 900.
Add the following: 3l(l – 4 m + 5 n) and 4l( 10 n – 3 m + 2l)
Answers
31 - 124m + 155n + 410n - 123m + 861
892 - 247m + 565n
Answer:
11L^2‒24LM+55Ln
Step-by-step explanation:
first let's take L instead of l
3L(L‒4m+5n)+4L(10n‒3m+2L)
3L^2‒12LM+15Ln+40Ln‒12Lm+8L^2
3L^2+8L^2‒12LM‒12LM+15Ln+40Ln
11L^2‒24LM+55Ln
i think it is easy to understand&i hope it helps you
A boy has 11 coins in dimes and quarters. Their value is $1.70. How many of each does he have?
Which of the following equations could be used to solve the problem?
x + (11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
25x + 10(11 - x) = 1.70
Answers
0.10x + 0.25(11 - x) = 1.70
It has the correct values
Each sheep has 4 legs and each chicken has 2 legs. If a farm boy counts 50 heads and 140 feet, how many sheep are there?
1. 30 sheep
2. 20 sheep
3. 10 sheep
Answers
Answer:
20
Step-by-step explanation:
H+S=50
2H+4S=140
4H+4S=200
4H+4S=200-
2H+ 4S =140
2H=60
H=30
50-30=20
Given:
Each sheep has 4 legs and a chicken has 2 legs.
A farm boy counts total heads = 50
And number of legs = 140
To Find:
Number of sheep.
Solution:
Let the number of sheep in the farm = s
And the number of chicken in the farm = h
If the total number of heads = 50
s + h = 50 ------- (1)
If the total number of the legs = 140
Number of legs of 's' sheep = 4s
Number of legs of 'h' chicken = 2h
Therefore, 4s + 2h = 140
2s + h = 70 -------(2)
Subtract equation (1) from equation (2),
(2s + h) - (s + h) = 70 - 50
s = 20
Therefore, 20 sheep are in the farm.
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Solve for x show your work 4(x+1)=-3x-10 plz show work
Answers
Answer:
4(x + 1)= -3x - 10
on the bracket 4( x +1)
4x + 4 = -3x - 10
collect like terms
4x + 3x = -10 - 4
7x = -14
divide both sides by 7
x = -2
Beetween 2001 and 2011 the population of a town increased by 8% in 2001 the population was 34,342 calculate the population in 2011
Answers
x-108%.
X=108*34,342/100=37089,36 or 37089
which figures show that M is a midpoint? select all that apply.
Answers
Step-by-step explanation:
a D&C show that m is the midpoint
The required figures that show the mid-points are (c) and (d).
A midpoint is a point on the line whose distance from both ends of the line is equal.
Here,
Figures are shown where in figure (A) only point M is shown which does not describe itself. In figure (B) M is located so far from B and there is no point on the other side of M. In figure (C) and (D) Point M is located between two certain points with equal measures.
Thus, the required figures that show the mid-points are (c) and (d).
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P = R - C solve for C
Answers
Answer:
C = R - P
Step-by-step explanation:
Step 1: Write equation
P = R - C
Step 2: Subtract R on both sides
P - R = -C
Step 3: Divide both sides by -1
-P + R = C
Step 4: Rewrite
C = R - P
Answer:
C=R-P
Step-by-step explanation:
First move your terms
C+P=R then move variable to the right-hand side
C=R-P is your solution
brainlest thats it man/
Answers
Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated counterclockwise 90° about the origin. HOW DO I SOLVE THIS????
Answers
Answer:the answer is (-2,1)
Step-by-step explanation:
When rotating a point 90 degrees counterwise about the origin point (x,y) becomes (-y,x). So basically switch x and y and make y negative when rotating 90 degrees counterclockwise about the origin.
If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).
What is a triangle?
It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle ABC is located on a coordinate plane.
Angle C is at (1, 2).
This means that,
Angle C = (1, 2) is in the I Quadrant.
We have four Quadrant:
Quadrant I - The coordinates are in the form of (x, y)
Quadrant II - The coordinates are in the form of (x, -y)
Quadrant III - The coordinates are in the form of (-x, -y)
Quadrant IV - The coordinates are in the form of (-x, y)
If we rotate C = (1, 2) counterclockwise 90 degrees about the origin, the angle C will be in the IV quadrant.
So,
C = (1, 2) will become C = (-1, 2)
Thus,
If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).
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Which of the following expressions is equal to 2x^2+8
Answers
Step-by-step explanation:
its a photo hope this will help you
Pythagorean Theorem!!! someone pls help tyyy
Answers
Answer:
43.7
Step-by-step explanation:
7[tex]7^{2} +7^{2} =\sqrt{98} \\\sqrt{98}=9.899494937\\ That is the measurement for the dotted line. If we round it like they did in the example it would be 9.90. That is the measurement for all the sides of the square. \\We need the measurement for only 3 sides of the square and the two outer sides of the triangle (7ft)\\7ft + 7ft + 9.90 + 9.90 + 9.90 = 43.7\\\\Joshua added the 7's and they square rooted them for the Hypotenuse.\\Then the perimeter of all sides did not need any square roots.[/tex]
0= (x-1)^2 -4 and and show explanation please
Answers
Answer:
x=-1, x=3
Step-by-step explanation:
to solve by factoring:
1. swap the sides:
0=(x-1)^2-4
2. expand the expression:
(x-1)^2-4=0
3. rewrite and calculate:
x^2-2x+1-4=0
4. factor
x^2+x-3x-3=0
5. Factor... again
x(x+1)-3(x+1)=0
6. separate
(x+1) (x-3)=0
7. solve
x+1=0, x-3=0
8. and you end up with 2 solutions
x=-1, x=3
PLZ HELP ME ASAP!!!
Answers
Answer:
A: 492 km
B: 120 m
Step-by-step explanation:
Since it's a 1:x scale, just multiply it.
120 x 4.1 = 492
Then add the unit.
Same thing for B.
4 x 30 = 120.
120 m
solve for w
3 - 3w = 6
Answers
Answer:
w equals negative 1one
For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.
Answers
Answer:
it is 198 i beleive
Step-by-step explanation: because there's 144 plus 49 so that makes 198
What is the slope of the line that passes through the points (-2,-12) and (1,-3)?
Answers
Answer:
3
Step-by-step explanation:
Change in Y/Change in X = Slope
Answer:
3
Step-by-step explanation:
(-3+12)/(1+2)
9/3
3
For which function is f(5) = 2?
2x
y
107
1
3
f(x) = x-3
2.
5
9
8
7
6
5
4
3
2
3
7
4.
9
Answers
Answer: the answer is A ( first one)
Step-by-step explanation:
i just took it and got it write
In a sale a clothes shop reduces its prices by 25% a shirt usually costs $34 how much it’s after the sale?
Answers
Answer:
$25.5
Step-by-step explanation:
HEEEEEEELP I CAN'T GET THIS WRONG
WILL GIVE BRANI AND PONITS
Answers
Answer:
Step-by-step explanation:
4 (x -2 ) - 3 = 7x
expanded = 4x - 8 (you have to multiply the -2 as well) -3 = 7x
Answer:
I know im late but i belive i need more information
Step-by-step explanation:
Solve the equation: −3x − 3 +7x = 17 (SHOW UR WORK)
Answers
Answer:
x=5
Step-by-step explanation:
−3x − 3 +7x = 17
Combine like terms
4x -3 = 17
Add 3 to each side
4x-3 +3 =17+3
4x = 20
Divide by 4
4x/4 = 20/4
x = 5
True or False: Only like terms can be combined. A True B False
Answers
Answer:
True
Step-by-step explanation:
Like terms like 4x-3x the x term. is a like term
6-4x can be subtracted because they aren't the same.
High Hopes^^
Barry-
Answer:
i believe this false but im not positive
What is the equation of this line?
A. y=2x−3
B. y=−12x−3
C. y=−2x−3
D. y=12x−3
Answers
Answer:
2×-3 is the best equation for this.
Answer: y=2x-3
Step-by-step explanation:
NEED HELP ASAP! Tysm
Answers
Answer:
7
Step-by-step explanation:
First you gotta plug in the values and you get 5*2 - 6(-4)/7
5 squared is 25
-6 times -4 is +24
25 + 24= 49
49/7= 7
Hope this helps! :)
Consider the expression (-15) + 8. Describe a situation that could be represented by the expression. Then, find the sum and explain what it means in the context of the situation.
Answers
Answer:
it not
Step-by-step explanation:
(02.04 MC) Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per ride. Which function can be used to determine how much money he has left over after x rides? f(x) = 1.5x + 70 f(x) = −1.5x + 70 f(x) = −1.5x − 70 f(x) = −20x + $90
Answers
Answer:
f(x)= $70 - $1.5*x
Step-by-step explanation:
You know your friend spends $ 5 to enter the fair and $ 15 for food. So the total you spent is given by:
$5 + $15= $20
Knowing that the trips at the fair cost $ 1.50 per trip, and with x being the number of trips, then the cost after x trips will be:
$1.5*x
So the money spent after x rides can be expressed as:
$20 + $1.5*x
Knowing that your friend has $90 when he goes to the fair, to calculate the amount of money he has left after x rides, the amount taken to the fair and the amount spent is subtracted:
$90 - ($20 + $1.5*x)
$90 -$20 -$1.5*x
$70 - $1.5*x
By calling the function f(x) used to determine the amount of money left after x trips, you can finally express:
f(x)= $70 - $1.5*x
help me with this question in the picture please :(
Answers
Step-by-step explanation:
possibly A
B. r = C/2π
Explanation:
The problem asks you to solve for r which means you have to get r by itself, or isolate the variable. You would do this by dividing both sides of the equation by 2π. The right side of the equation would cancel out, leaving you with r. The left side of the equation would simply be C/2π because C/2π cannot be simplified.
You could write your answer like this: C/2π = r
Or like this: r = C/2π
Here is my work just in case you're a visual learner:
Answer this question to get brainlist
Answers
Answer:
The answer is D
Answer:
The answer is D
Step-by-step explanation:
A is incorrect because since 1 and 7 are both on the bottom half so they are congruentB is incorrect because 3 and 5 are both on the bottom half so they are congruent as wellC is incorrect for the same reason as A and BD is correct because they are both on the top half which means they cant be congruentThus your answer would be D
Solve for z.
A= x + 5 + Z
Answers
Answer:
Z = A - x - 5
Step-by-step explanation:
A = x + 5 + z
Make the equation equal to z by moving the x and 5 to the side of the = with A. Move the x and 5 by subtracting x and 5 from both sides.
A - x = 5 + z
A - x - 5 = z
So, Z is equal to A - x - 5