Answer:
2) Expand the distribution of terms.
6x+3+2x+6
3) Collect the like terms.
(6x+2x)+(3+6)
4) simplify.
8x+9
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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Patrick is designing a large square stained glass window for the library. If the area of the window is 36 square feet, how long each side?
A.72ft
B.6ft
C.18ft
D.9ft
Answer:
d
Step-by-step explanation:
divide 36 by 4 sides of the window. = 9 square feet
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
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
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
Determine the value of y, if x is 2.
y = |x| + 8
Answer:
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.
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
what is 20 =4 (g +2 )
Answer:
3Step-by-step explanation:
4 ( g + 2 ) = 20
4 ( 3 + 2 ) = 20
4 ( 5 ) = 20
4 ⋅ 5 = 20
20Hope this
helps! <3
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.
Given sin(t) = 7/25 for π/2 < t < π, what is cos(t)?
24/25
7/24
-7/24
-24/25
Your question: Given sin(t) = 7/25 for π/2 < t < π, what is cos(t)?
The correct answer would be -24/25
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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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.
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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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:
Let’s assume the 147 freshman maintained a 65% attendance rate during the first 4 week of school. If our next 4 week goal for attendance is a 70%, how many more students would need to attend daily for the next 4 weeks.
Please Help ASAP
Answer:
12 studentsStep-by-step explanation:
If 65% equals 147
Then to maintain 70% there is a need for 5% more
Which equals
5*147/65 ≈ 12 studentsAnswer:
12 studentsStep-by-step explanation:
147 maintained 65% attendance for the 1st 4 weeks
the goal is 70% on the next 4 weeks
ratio and proportion:
147 students = x
65 70
65 (x) = 147 (70)
x = 10,290
65
x ≈ 159 students
therefore, the number of students would need to attend
daily for the next 4 weeks is
= 159 - 147
= 12 students
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
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.
Type an equation for the line shown in the graph. (0, 2) y= [?] + [ ]
Answer:
Y - 2 = m (x - 0)
Step-by-step explanation:
Answer:
y= 2
Step-by-step explanation:
the graph in this photo shows that for the entire line, y=2. Although the x values are different the y values never change, whatever x value you have, the y value will always be 2 .
The equation would be y=2 but if you want to fill in the blanks, it would be
y=0x+2
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:
Hi
How are you?
Answer this simple question for points :)
22+22=?
Answer:
44
Step-by-step explanation: (not quite sure on how to explain this)
22+22=44
2 2
2 2
4 4
ty :,)
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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Help me please!! Thank you!
Answer:
0.25 I think
Step-by-step explanation:
1/4 is 0.25
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:
? /3 = -6/6 please help
Answer:
-3/3
-6/6
divide top and bottom by 2 gives you -3/3
A file that is 228 megabytes is being downloaded. If the download is 19.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
Answer: 56.7 megabytes
Step-by-step explanation:
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 asap!! the curriculum is plato
which of the following is NOT a perfect square
answer any other questions on the sheet if possible please! will give brainliest
24 is not a perfect square
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: