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Furkat [3]
3 years ago
11

1 Look at the example problem. How would the partial

Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

They change by 10

Step-by-step explanation:

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ASAP HELP FOR NUMBER 13!!
horrorfan [7]
Problem 13a

Each column of the table represents an (x,y) pairing. The first column has x = 0 and y = 2 so (0,2) is one point on this line. Since x = 0 here, this means that we have the y intercept. The y intercept is 2. We'll use this later.

Another point on this line is (3,8) which is drawn from the second column.

Use the two points (0,2) and (3,8) to find the slope m
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-0)
m = 6/3
m = 2

Since the slope is 2 and the y intercept is 2 (see above), this means m = 2 and b = 2

Plug those into y = mx+b and we get y = 2x+2

Answer: y = 2x+2

==============================================
Problem 13b

(0,20) is on the line as the first column shows. The y intercept is 20 since x = 0 here. So b = 20

Another point on this line is (3,8) as drawn from the second column

Slope: 
m = (y2-y1)/(x2-x1)
m = (8-20)/(3-0)
m = -12/3
m = -4

Use the slope (m = -4) and the y intercept (b = 20) to get...
y = mx+b
y = -4x+b ... replace m with -4
y = -4x+20 ... replace b with 20

Answer: y = -4x+20

==============================================
Problem 13c

(2,5) and (4,8) are on the line. These two points are drawn from columns 1 and 2 respectively.

Slope
m = (y2-y1)/(x2-x1)
m = (8-5)/(4-2)
m = 3/2
m = 1.5

Note: the fraction 3/2 is equivalent to the decimal form 1.5

Use the slope m = 1.5 along with (x,y) = (2,5) to find the value of b
y = mx+b
y = 1.5x+b ... m is replaced with 1.5
5 = 1.5*2+b ... plug in (x,y) = (2,5)
5 = 3+b
5-3 = 3+b-3
2 = b
b = 2

So we can now update y = mx+b to y = 1.5x+2

Answer: y = 1.5x+2

Note: If your teacher wants a fraction instead of a decimal (for the slope), then you would write y = \frac{3}{2}x+2
==============================================
Problem 13d

(0,20) is on the line. So the y intercept is 20, indicating that b = 20

(3,11) is also on the line

Again as done with 13a-13c, I'm only looking at the first two columns. 

Slope
m = (y2-y1)/(x2-x1)
m = (11-20)/(3-0)
m = -9/3
m = -3

Therefore
y = mx+b
turns int
y = -3x+20
after replacing m and b with the values we found earlier

Answer: y = -3x+20
6 0
3 years ago
If the length of a rectangle is 5a^2 and the width is 7ab^2 what is the area of the rectangle?
DanielleElmas [232]

Answer:

I think u forgot to put a photo because I really don't understand

Step-by-step explanation:

not sure

8 0
2 years ago
On a map, Sanford, NC and Myrtle Beach, SC are 4 inches apart. The distance between cities is actually 156 miles. What scale was
defon

Answer:

39 or 1/39

Step-by-step explanation:

You need to divide these but it depends on how you divide them

  • 4/156=1/39
  • 156/4=39
8 0
3 years ago
In a group of 50 patrons, 18 patrons like lattes, 16 patrons like espressos, and 8 patrons like both coffee drinks. How many pat
Tcecarenko [31]
Add the 18, 16, and 8 together
Then subtract that number from 50.

18+16+8=42
50-42=8

So, 8 patrons don't like either.
3 0
3 years ago
Read 2 more answers
How many solutions does 3(x+5)=-4x+8 have
Mashutka [201]

Answer:

1 solution and that is that x = -1

Step-by-step explanation:

4 0
3 years ago
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