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
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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On average, less than __________ percent of eligible voters participate in elections. A. 10 B. 20 C. 40 D. 60
Answer: Hello fellows! your answer is D. 60
HAVE A GREAT DAY!
On average, less than 60 percent of eligible voters participate in elections, hence option D is correct.
Who are eligible voters?Eligible voters are who belong to the country where the elections are held and have the right age for voting, they have the right to vote according to the government rules and regulations.
According to the survey, the eligible voters' participation in the election is only 60% of the total voters.
Voting is the right of every individual who belongs to the country and chooses the perfect government for their country. It is bad for the individual who is not voting for the country and not showing interest in politics.
Therefore, on average, less than 60 percent of eligible voters participate in elections, hence option D is correct.
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Need help ASAP Tysm
Answer:
20
Step-by-step explanation:
Plug in the variables
2(-4)^2 + 4(-3)
32 + -12
= 20
In order to convert this equation to Slope-Intercept Form, you must first isolate y What is the first step in isolating y? 4x + 5y = 10
A. Use the Subtraction Property of Equality to subtract 4x from both sides of the equation.
B. Use the Addition Property of Equality to add 5y to both sides of the equation.
C. Use the Division Property of Equality to divide the equation by 4.
D.
Use the Subtraction Property of Equality to subtract 10 from both sides of the equation.
Answer:
A. Use the Subtraction Property of Equality to subtract 4x from both sides of the equation.
Step-by-step explanation:
Given equation is 4x + 5y = 10
we have to convert it in slope intercept form
slope intercept form is given by y = mx + c
now seeing the slop intercept form ,
we can say that
we have to isolate y , for that we have to remove 4x from
4x + 5y = 10 from RHS of the equation
to do that we have to subtract 4x from both side as shown below
4x + 5y - 4x = 10 - 4x
this step is called Subtraction Property of Equality to subtract 4x from both sides of the equation
and hence option A is the correct choice
Answer:
A. Use the Subtraction Property of Equality to subtract 4x from both sides of the equation.
Step-by-step explanation:
14. Solve the equation.
Please help
Answer:
x=2.5
Step-by-step explanation:
2x+3x-4=x+6
5x-4=x+6
4x=10
x=10/4
x=5/2
x=2.5
Answer:
4x=10 or x= 10/4 or x= 5/2 or x= 2 and 1/2 or also E
Step-by-step explanation:
You can combine like terms by adding 2x and 3x, as they have the same variable with no extra additions onto them. You get 5x.
The current equation should look like 5x-4=x+6
Then you can subtract 1x from both sides, to get rid of the x on the right side to get 4x-4=6
Then you can do a similar operation to add 4 on both sides to get 4x=10.
Finally you can divide both sides by 4 (simplifying to get unit rates of x)
You get x = 10/4
You simplify to get 5/2 and it can simplify to a mixed number if needed which is 2 and 1/2
? /3 = -6/6 please help
Answer:
-3/3
-6/6
divide top and bottom by 2 gives you -3/3
Factoring
solve this and show the steps please, i know the answer but not the steps
25x^2-81
Answer:
( 5x-9) (5x+9)
Step-by-step explanation:
25 x^2 - 81
Rewriting
(5x)^2 -9^2
This is the difference of squares
a^2 -b^2 = ( a-b)(a+b)
(5x)^2 -9^2 = ( 5x-9) (5x+9)
25x^2 -81
Write the number in the exponential form with an exponent of 2
5^2 x^2 -81
Write the number in the exponential form with an exponent of 2
5^2 x^2 -9^2
Multiply the terms with equal exponents by multiplying their bases
(5x)^2 -9^2
Using a^2-b^2=(a-b)(a+b), factor the expression
(5x-9)× (5x+9)
Answer: (5x-9)×(5x+9)
PLEASE GIVE ME BRAINLIEST ANSWER
Does anyone know What 0.6 divided by 36 is
Answer:
1/60
Step-by-step explanation:
0.6/36 = 0.0166666667
1/60= 0.0166666667
How do you simplify a radical?
Answer:
[tex]\huge\boxed{\texttt{See Explanation}}[/tex]
Step-by-step explanation:
In order to simplify a radical, we're looking for a perfect square within that number.
Say we have [tex]\sqrt{108}[/tex].
We're looking for two numbers, where
1. We can easily find the square root of the first number
2. When we multiply that number by the second, we get 108.
We can experiment with numbers for 108. We know that [tex]36 \cdot 3 = 108[/tex], so we can form this statement now.
[tex]\sqrt{108} = \sqrt{36 \cdot 3}[/tex]
We know the square root of 36 is 6. Therefore, we can put this outside the square root sign and leave 3 inside.
[tex]\sqrt{36} = 6\\6\sqrt{3}[/tex]
Hope this helped!
Marty makes 3 plates of cookies. There are 12 cookies on each plate. Marty eats 4 of the cookies.which shows how many cookies are left
Answer:
There would be 32 cookies left but I can't see the plates so I guess just count the cookies and choose whichever picture has 32 cookies in it. Hope this helped
Answer:
There would be 32 cookies left but I can't see the plates so I guess just count the cookies and choose whichever picture has 32 cookies in it. Hope this helped.
Step-by-step explanation:
The 199.99 digital camera any purchase was on sale for 15% off what amount did Annie get out the price
Answer:
The discount is 30
169.99 is the price she will pay
Step-by-step explanation:
First find the discount
199.99 * 15%
199.99 * .15
29.9985
Rounds to 30.00
The discount is 30
199.99 - 30
169.99 is the price she will pay
Answer: About $30 less than the original price
Step-by-step explanation: 199.99x1.15 gives you 229.9885 and when you subtract 199.99 from that you get 29.9985 which is about 30 dollars.
Mr. Peter's has 80 sheets of colored paper seven of his students need it for a project. how many sheets are left over?
Answer:
Three sheets will be left over.
Step-by-step explanation:
Well, if you have 80 sheets of paper, and seven students need it, you would first divide the 80 sheets to the seven students using the equation 80 ÷ 7 = 11.4. You won't be giving fractions of paper to the students so you would round to 11. If each of the seven students gets 11 sheets of paper, 77 sheets will have been used. 80 - 77 = 3. So, there will be three sheets left over.
Mary has bought 36 pounds of dog food. She feeds her dog
4
last?
pounds for each meal. For how many meals will the food
Write your answer in simplest form.
What is the volume of 9m 5m 18m 10m 9m 24m
Answer:
450
Step-by-step explanation:
u multiply 9*5*10 and then u get the answer
Help fast 70 points will give brainly if you give right answers
Answer:
answer below.
Step-by-step explanation:
hey, it's a little blurry so i hope i got these correct:)
1. rational
2. natural, whole, integer, rational
3. irrational
4. integer, rational
5. rational
6. integer, rational
7. 2
8. - π
9. -2
10. 1
there are also other possible answers for some, but i chose these.
Part A)
JKL has vertices J(2, 4), K(-4,-2).
L(2,-2).
Graph the image after a
reflection in the line y = 1.
Part B)
Record your image points here:
J'( 2, _)
K’(-4, _)
L'(2, _)
CAN SOMEONE PLEASE HELP ME PLEASE
9514 1404 393
Answer:
d. z = -48
Step-by-step explanation:
When j ║ k, corresponding angles are congruent, so ...
x = 4z +3y
57 = y + z
and the same-side interior angles are supplementary:
57 +x = 180 ⇒ x = 123
__
This lets us write two equations in y and z:
3y +4z = 123
y +z = 57
Using the second equation to write an expression for y, we have ...
y = 57 -z
Substituting this into the first equation gives ...
3(57 -z) +4z = 123
z +171 = 123
z = -48 . . . . . . . subtract 171
The value of z that makes j║k is -48.
___
The corresponding value of y is 105.
Compare and contrast stocks and bonds. Drag each characteristic to the correct investment type.
Stock
Bond
coupon rate
higher risk
loan to a corporation
fixed maturity date
ownership of a corporation
Stock: High risk, Ownership of a corporation
Bond: Coupon rate, Loan to a corporation, Fixed maturity date
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Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of nickels, n?
0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36
Answer:A
Step-by-step explanation:
Answer:
Let n be the number of nickels and q be the number of quarters, then
n + q = 36 . . . (1)
0.05n + 0.25q = 6 . . . (2)
From (1): q = 36 - n . . . (3)
Putting (3) into (2) gives:
0.05n + 0.25(36 - n) = 6
Step-by-step explanation:
helpextra pointseeeeeeeeeeeeee
Answer:
D (12.8)
Step-by-step explanation:
There are ten spaces between 12 and 13, and the point is on the eighth space
Answer:the answer is d.
Step-by-step explanation:
The midpoint of AB is M(4,1). If the coordinates of A are (2,8), what are the
coordinates of B?
Answer:
(6,-6)
Step-by-step explanation:
2 to 4 is + 2 so 4+2 is 6 for X
8 to 1 is -7 so 1-7 is -6 for Y
hi i am bored can any one play quizezz with me write the topic in comment
Answer:
omy-
Step-by-step explanation:
Answer:
If your bored then i would recomend a game called monster legends, and if you looking for a educational game try the ones on brain pop (sorry if i spelled wrong) i can not help you with multi-player.
Step-by-step explanation:
help asap!! the curriculum is plato
HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
Nature's Best wants to combine nuts they sell for $3.60 a "
pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 'a pound?
Answer:
brainlest maybe
Step-by-step explanation:
Nature's Best wants to combine nuts they sell for $3.60 a pound with dried fruit they sell for $2.40 a pound to create a trail mix. How much of each snack should they use to make 10 pounds of trail mix that would sell for $3.30 a pound?
--------------
Let amt. of nuts be "x" lbs ; value is 3.60x dollars
-------------
Amt of fruit is "10-x" lbs ; value is 2.4(10-x) = 24-2.4x dollars
----------------------
Amt of mix is 10 lbs ; value is 3.3*10= 33 dollars
------------------------
EQUATION:
value + value = 33 dollars
3.6x + 24-2.4x = 33
1.2x = 9
x = 7.5 lbs (amt of nuts in the mix)
10-x = 2.5 lbs (amt of fruit in the mix)
=================
Help me please!! Thank you!
Answer:
0.25 I think
Step-by-step explanation:
1/4 is 0.25
What is the area of the rectangle?
Answer:
the answer would be C.
Step-by-step explanation:
First, you would set the x-6 beside the equation on top, then you would multiply the quadratic equation by x-6
The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second.
Find the numbers.
Answer:
4,8,14
Step-by-step explanation:
The three numbers are x = 4, y = 8 and z = 14 respectively.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the sum of three numbers as 26. The second number is twice the first and the third number is 6 more than the second.
Assume that the first number is x.
Then, the second number will be equal to 2x
The third number would be equal to (2x + 6)
Now, theirs sum is equal to 26. Therefore, we can write -
x + 2x + 2x + 6 = 26
5x + 6 = 26
5x = 26 - 6
5x = 20
x = 4
Then,
the second number (y) would be equal to (2 x 4) = 8
the third number (z) would be equal to (2 x 4 + 6) = 14
Therefore, the three numbers are x = 4, y = 8 and z = 14 respectively.
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Based on your pattern, what would y be when x = 13?
answer asap!!
Answer:
14,17,20
Step-by-step explanation:
Holy crp I'm sooo sorry. I started studying for my classes and didn't see this.
The y's increase +3 for every positive 1.
Answer:
38
Step-by-step explanation:
the rate of change is 3 and when x = 0 y = -1 so you multiply 3 times 13 witch equals 39 + (-1) = 38
What is an equation of the line that passes through the points (4, 8) and (1, - 1) ? Put your answer in fully reduced form.
Answer:
y = 3x - 4
I believe this is it's fully reduced form.
Convert the equation to
slope-intercept form:
x – 2y = 2
Answer:
y=(2-X)/-2
Step-by-step explanation:
isolate y by itself
move x to the right side of equation
then divide your left side by -2 to isolate y
The slope intercept form of the given line equation is y = x/2 - 1.
The given equation of a line is x-2y=2.
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Here, the equation can be written in slope intercept form as
x-2y = 2
2y = x-2
y = x/2 - 2/2
y = x/2 - 1
Therefore, the slope intercept form of the given line equation is y = x/2 - 1.
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