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MrRissso [65]
3 years ago
9

The table below represents a linear function f(x) and the equation represents a function g(x):

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0
First, lets solve f(x). g(x) is already given. Find the slope of f(x) by doing m = y2-y1/x2-x1. I'm going to use -1,-5 (1) and 0,-1 (2). -1-(-5) = 4 and 0-(-1) = 1. This means that the slope is 4 since 4/1 = 4.
Now find y intercept (b). Since we know that y=4x+b, we can solve this by plugging in an ordered pair. I will use -1,-5. -5 = 4(-1) +b. With this, we see that -5 = -4+b and b = -1 since -5 = -4-1.
Your equation for f(x) is y=4x-1. 
A: The slopes are equal since both of them are 4.
B: g(x) has a greater y intercept since 3 > -1.

 
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How do you create linear equations from a word problem? Can someone please step me through how to make TWO equations for this??:
storchak [24]
Check out the image attachment for the filled out table. There may be more than one way to fill out the table, but I did it in the way I learned in the past.

Let's work through the table one row at a time
------------------------------------------------------------------------------
So we'll start with row 1

Row 1, column1: The value that goes here is 12 as each adult pays $12

Row 1, column2: You'll write 'a' without quotes here as there are 'a' adults ('a' is just a placeholder for a number)

Row 1, column3: Write 12*a or 12a here. Simply multiply the cost per adult ($12) with the number of adults (a). 
------------------------------------------------------------------------------
Now onto row 2

Row 2, column1: It costs $6 per young adult, so we write 6 here

Row 2, column2: There are y young adults. Write 'y' here without quotes

Row 2, column3: Write 6y here. Multiply the number of young adults with the price per young adult
------------------------------------------------------------------------------
Now onto row 3

Now we add up the values per each column to get the column totals

Row 3, column1: The individual costs 12 and 6 add to 18. We won't use this value but it doesn't hurt to write it in. If it is confusing to add in, then just ignore this cell. The reason why we won't use this is because the number of adults (a) and young adults (y) is not necessarily the same. If we were guaranteed they were the same, then we could use this value. But again there's no guarantee. It's probably best to steer clear of this cell.

Row 3, column2: We have 'a' adults and 'y' young adults. So a+y people total. This total is 8 as we know a family of 8 had been registered. So we write 8 in this box as well. The two expressions a+y and 8 are equal to each other allowing us to form the first equation a+y = 8

Row 3, column3: The cost for all the adults is 12a dollars. Similarly it costs 6y dollars for just the young adults. Adding up the two subtotals we get 12a+6y as the total cost for everyone. We're told that the family paid a total of $66. So like with the previous box, we can equate the two expressions getting us the second equation to be 12a+6y = 66
------------------------------------------------------------------------------

Again everything is summarized in the image attachment. 

The two equations we pull away from that table are
a+y = 8
12a+6y = 66
which is the system of equations to set up

7 0
3 years ago
The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Bas_tet [7]

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

3 0
3 years ago
(NEED ASAP) In Step 2 A. Addition b. Subtraction c. Multiplication d. Division
lilavasa [31]

Answer:

step 2 subtraction 4 mulltiplecation

Step-by-step explanation:

4. because .s in math means multiplecation

2. because it hasmore subtraction singhns in the problem

8 0
3 years ago
Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
RUDIKE [14]

The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)=f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........

Where the terms in f prime f^{1}(a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

f^{1}(a)=f^{1}(-4)=-8/(-4)^{2}

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+f^{1}(-4)(x+4)/1!+  f^{11}(-4)(x+4)^{2}/2!.............

=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+  24/(-4)^{3} (-4)(x+4)^{2}/2!.............

=-2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Learn more about taylor series at brainly.com/question/23334489

#SPJ4

3 0
1 year ago
I don't kind fast food sells large burgers for five dollars each and french fries for three dollars each that day they sold six
lesya692 [45]

Answer:

They sold 16 French fries.

Step-by-step explanation:

Let x represent the number of large burgers that they sold on that day.

Let y represent the number of French fries that they sold on that day.

fast food sells large burgers for five dollars each and french fries for three dollars each that day and their total sales was $98.It means that

5x + 3y = 98 - - - - - - - - - - - - - -1

they sold six more french fries than burgers. It means that

y = x + 6

Substituting y = x+ 6 into equation 1, it becomes

5x + 3(x + 6) = 98

5x + 3x + 18 = 98

8x = 98 - 18 = 80

x = 80/8 = 10

y = x + 6 = 10 + 6

y = 16

4 0
3 years ago
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