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1 year ago

Which line of best fit accurately represents the given scatter plot?

Mathematics

1 answer:

Fofino [41]1 year ago

8 0

The third one down
Because the best line of fit is a line that goes between the plotted points and it HAS to be a straight line and most of the points close to the line

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Solve the linear programming problem. Minimize and maximize Upper P equals negative 20 x plus 30 y Subject to 2 x plus 3 y great

Alika [10]

Answer:

Maximum = 540 at (6,14)

Minimum = 300 at (0,10) or (12,2).

Step-by-step explanation:

The given linear programming problem is

Minimize and maximize: P = 20x + 30y

Subject to constraint,

$2x+3y\ge 30$ .... (1)

$2x+y\le 26$ .... (2)

$-2x+3y\le 30$ .... (3)

$x,y\geq 0$

The related equation of given inequalities are

$2x+3y=30$

$2x+y=26$

$-2x+3y=30$

Table of values are:

For inequality (1).

x y

0 10

15 0

For inequality (2).

x y

0 26

13 0

For inequality (3).

x y

0 10

15 0

Pot these ordered pairs on a coordinate plane and connect them draw the corresponding related line.

Check each inequality by (0,0).

$2(0)+3(0)\ge 30\Rightarrow 0\ge 30$ False

$2(0)+(0)\le 26\Rightarrow 0\le 26$ True

$-2(0)+3(0)\le 30\Rightarrow 0\le 30$ True

It means (0,0) is included in the shaded region of inequality (2) and (3), and (0,0) is not included in the shaded region of inequality (1).

From the below graph it is clear that the vertices of feasible region are (0,10), (6,14) and (12,2).

Calculate the values of objective function on vertices of feasible region.

Point P = 20x + 30y

(0,10) P = 20(0) + 30(10) = 300

(6,14) P = 20(6) + 30(14) = 540

(12,2) P = 20(12) + 30(2) = 300

It means objective function is maximum at (6,14) and minimum at (0,10) or (12,2).

7 0

3 years ago

What is 3,4,5 plz and thank you

Tcecarenko [31]

For 3 it’s b. For 2 it’s 8. For 4 it’s the whole number

8 0

3 years ago

Ms. Jenkins stocks a pond with fish. For every 6 bluegill fish, she puts in 1 rock bass fish. Does this ratio mean that Ms. Jenk

snow_tiger [21]

Answer:

Ms. Jenkins puts <u>for every 6</u> bluegill fish <u>one</u> rock bass fish so she puts the number multiple of 7

6 0

3 years ago

Two math students were asked to write an exponential growth equation that had a starting value of 300 and a growth rate of 2%. P

Gemiola [76]

Answer:

Pierre is right

Step-by-step explanation:

The correct formula for Exponential growth rate is given as:

y = a( 1 + r) ^t

Where

y = Amount after time t

a = Initial amount

r = Growth rate

t = time

From the question

a = 300

r = 2% = 0.02

Hence, our exponential growth rate =

y = 300( 1 + 0.02)^t

y = 300( 1.02)^t

Therefore, Pierre is right

5 0

2 years ago

(x-6)² + (x + 5)² = 16

Phoenix [80]

Answer:

answer A : (2 -5)

Step-by-step explanation:

the midipoint P,Q is the center A of this circle (because PQ is a diameter)

use : (x-6)²+(x+5)² = 16 you have : A(6 , -5) now let Q(x,y) :

(x+10)/2 = 6

(y-5)/2 = - 5

x+10 = 12

y-5 = -10

so : x = 2 and y = - 5....answer A : (2 -5)

6 0

3 years ago