All categories

3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics

1 answer:

ollegr [7]3 years ago

6 0

Answer:

y = -3x-4

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

= (-16 - -7)/(4-1)

= (-16+7) /3

= -9/3

= -3

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3x+b

Using a point

-10 = -3(2)+b

-10 = -6+b

-10+6 = b

-4 = b

y = -3x-4

You might be interested in

Mike is making a mixture for an upcoming camp trip. He makes the mixture by combining 1/3 of a cup of cashews and 1/4 cups of al

kozerog [31]

Answer:

16 cups of cashews

12 cups of almonds

Step-by-step explanation:

Let's say x is the cups of cashews and y is the cups of almonds.

We can write two equations:

x / y = (1/3) / (1/4) = 4/3

x + y = 28

Solve the system of equations using substitution.

x = 4/3 y

4/3 y + y = 28

7/3 y = 28

y = 12

x = 16

7 0

3 years ago

If abc avw find the values of x and y

zavuch27 [327]

Answer:

x=7.2 y=7.5 this is the answer

8 0

3 years ago

If x=0. Find the value of 8x-2(6-x)

Harrizon [31]

Answer:

-12

Step-by-step explanation:

8x - 2(6 - x)

Substitute 0 for each x

8*0 - 2(6 - 0)

Solve.

0 - 2*6

0 - 12

-12

7 0

3 years ago

Read 2 more answers

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

tia_tia [17]

<h3>Answer: 6.93</h3>

Work Shown:

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 11^2 = 13^2

x^2 + 121 = 169

x^2 = 169 - 121

x^2 = 48

x = sqrt(48)

x = 6.92820323027551

x = 6.93

5 0

3 years ago

Read 2 more answers

In a certain Algebra 2 class of 30 students, 19 of them play basketball and 12 of them play baseball. There are 8 students who p

Alenkinab [10]

Answer:

Probability that a student chosen randomly from the class plays basketball or baseball is $\frac{23}{30}$ or 0.76

Step-by-step explanation:

Given:

Total number of students in the class = 30

Number of students who plays basket ball = 19

Number of students who plays base ball = 12

Number of students who plays base both the games = 8

To find:

Probability that a student chosen randomly from the class plays basketball or baseball=?

Solution:

$P(A \cup B)=P(A)+P(B)-P(A \cap B)$ ---------------(1)

where

P(A) = Probability of choosing a student playing basket ball

P(B) = Probability of choosing a student playing base ball

P(A \cap B) = Probability of choosing a student playing both the games

<u>Finding P(A)</u>

P(A) = $\frac{\text { Number of students playing basket ball }}{\text{Total number of students}}$

P(A) = $\frac{19}{30}$ --------------------------(2)

<u>Finding P(B)</u>

P(B) = $\frac{\text { Number of students playing baseball }}{\text{Total number of students}}$

P(B) = $\frac{12}{30}$ ---------------------------(3)

<u>Finding $P(A \cap B)$ </u>

P(A) = $\frac{\text { Number of students playing both games }}{\text{Total number of students}}$

P(A) = $\frac{8}{30}$ -----------------------------(4)

Now substituting (2), (3) , (4) in (1), we get

$P(A \cup B)= \frac{19}{30} + \frac{12}{30} -\frac{8}{30}$

$P(A \cup B)= \frac{31}{30} -\frac{8}{30}$

$P(A \cup B)= \frac{23}{30}$

7 0

3 years ago