1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sphinxa [80]
3 years ago
15

ASAP HELP FOR NUMBER 13!!

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0
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
You might be interested in
Given that a triangle has two sides of lengths 5 inches and 7 inches, which is a possible length of the third side?
ArbitrLikvidat [17]

Answer: it’s 13

because 13-7-5= 1

12-5-7=0 which is invalid

7-5-2=0 which is invalid

7-5-3=-1 which is invalid

6 0
3 years ago
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 18
UkoKoshka [18]

Answer:

3/26

Step-by-step explanation:

Probability of the first box to have the secret decoder ring is 18 out of 52:

  • 18/52= 9/26

Probability of the second box to have the ring is 17 out of 51, because one box with the ring already selected and not counted:

  • 17/51= 1/3

Probability that both of them have the secret decoder ring:

  • 9/26*1/3= 3/26

<u>So the answer is</u> 3/26

4 0
3 years ago
Can someone help answer the first two?
Murljashka [212]

Answer:

below given!

Step-by-step explanation:

1) mean = (7.4 + 5.8 + 7.3 + 7 + 8.9 + 9.4 + 8.3 + 9.3 + 6.9 + 7.5 + 9 + 5.8 + 5.5 + 8.6 + 9.3 +3.8) / 16

mean = 7.47

5 0
2 years ago
-12divided by 3 help me plz
I am Lyosha [343]

Answer:

-4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
List factors of 24 36 27 and 7​
Helen [10]

Answer:

The factors of 7 are 1, and 7.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 27 are 1, 3, 9, and 27.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Step-by-step explanation: I hope this helps :).

8 0
2 years ago
Other questions:
  • Jala put $600 in an interest bearing account with a annual compound interest rate of 5%. Jala determined that after seven years,
    10·2 answers
  • What is the secant of the circle?
    6·1 answer
  • There are two pizzas. Conor ate 1⁄4 of a pizza, Brandon 2⁄8, Tyler 3⁄4, and Audrey 4⁄8. Who ate the most of the two pizzas? A. T
    11·1 answer
  • The sum of three numbers is -3. The last number is three times the first. The last number is 11 smaller than the second number.
    14·2 answers
  • (2, 4) and (5,2).<br> Find the slope :)
    11·1 answer
  • mariah found a flat iron originally priced at $80 on sale for $60 by what pecentage was the price reduced
    8·1 answer
  • 2, -3, -8, -13, -18,
    11·1 answer
  • If 7 cakes cost 15 how much 22 cakes cost pllsssss help with this ik this problem is easy but i just cant solve it so help
    13·1 answer
  • -1/3(4+z)=-5/6 I need answer ASAP
    8·2 answers
  • Write $6.45$ as a reduced fraction.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!