Find the percent increase for the given original and new quantities in parts a through c.

What is the slope of the line that contains these points? xxx -4−4minus, 4 -3−3minus, 3 -2−2minus, 2 -1−1minus, 1 yyy 222 555 88

Charra [1.4K]

Given:

The table of values is

x y

-4 2

-3 5

-2 8

-1 11

To find:

The slope of the line that contains these points.

Solution:

From the given table consider any two point.

Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))$

$y-2=\dfrac{3}{-3+4}(x+4)$

$y-2=\dfrac{3}{1}(x+4)$

Using distributive property, we get

$y-2=3x+12$

$y=3x+12+2$

$y=3x+14$

Therefore, the required equation of line is $y=3x+14$ .

4 0

3 years ago

Find the inequality represented by the line. Need help immediately. Explain if you can

Debora [2.8K]

Answer:

ok fine 1.3x+4y<10

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If there are 20 values in a data set in order from smallest to largest, what is

Natasha_Volkova [10]

Answer:

C The mean of the 10th and 11th values

Step-by-step explanation:

Strike the lowest and largest number until you get 1 or 2:

1, 2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19, 20

2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19

3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18

4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17

5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16,

,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15

,7 8, 9, 10, 11, 12, 13 ,14,

8, 9, 10, 11, 12, 13

9, 10, 11, 12

10, 11,

Finding the Mean:

10+11

21

21/2

Mean:

10.5

8 0

3 years ago

Bill and Mary Ann went to the Viola bakery. Bill bought 3 danishes and 8 filled donuts for $14.67. Mary Ann bought 7 of each fo

harina [27]

Answer:

donuts cost $1.5

danishes cost $1.57

Step-by-step explanation:

This is a typical 2-equation syestem with 2 unknown variables problem. Lets find out which are our equations and unknowns.

Bill ought 3 danishes and 8 filled donuts for $14.67. Lets call d the price of donuts and c the price of danishes. We can then write Bill expenditures as an equation (I will omit $ symbol for simplicity):

3 c + 8 d = 14.67 [eq 1]

Now we can do the same for Mary's expenditures, as she bought 7 of each for $16.73:

7 c + 7 d = 16.73 [eq. 2]

Now, lets take eq. 1 and try to get the value of one of the variables, for example c, as function of the other -in this case, d. Notice you could also do this with eq. 2.

So:

3 c + 8 d = 14.67

Subtract 8d in both sides:

3c = 14.67 - 8d

Now, divide both sides by 3:

c = (14.67 - 8d)/3

So, we have c in function of d. Now, replace this value in eq 2:

7*(14.67 - 8d)/3 + 7 d = 16.73

(7/3)*(14.67 - 8d) + 7d = 16.73

Applying distributive:

(7/3)*14.67 - (7/3)*8d + 7d = 16.73

34.23 - 18.67d + 7d = 16.73

34.23 - 11.67d = 16.73

Now, subtract 34.23 in both sides:

-11.67 d = -17.5

Dividing both sides by -11.67

d = 1.50

So, every donuts costs $1.5. If we replace this value in any of the equations of the system we get c. Lets replace in eq. 1:

3 c + 8 d = 14.67

3 c + 8*1.5 = 3c + 12 = 14.67

Subtract 12 in both sides:

3c = 4.67

Divide by 3 in both sides:

c = 1.57

Important: notice that the results may variate in some decimals or less depending on how many numbers after the coma you use. For example, d is really 1.49957155098543 but I used 1.50, if you are more precise and use 1.49957 you results may variate a little but not significantly.

So, c=1.57 and d=1.50 is the solution. A donuts cost $1.5 and a danish $1.57.

5 0

3 years ago

Read 2 more answers

2 divided 3 is 2/3. What is<br> 1/3 of 2?

VLD [36.1K]

Answer:

0.6666667

Step-by-step explanation:

1/3 of 2 is 0.6666667

7 0

3 years ago