All categories

3 years ago

How do you write a rule for determining possible values of a variable in an inequality????

1 answer:

5 0

Solving'' an inequality means finding all of its solutions. A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. ... Rule 3b. Multiplying/dividing by the same NEGATIVE number on both sides AND changing the ... All real numbers less than 1 solve the inequality.

You might be interested in

Brooklyn Cabinets is a manufacturer of kitchen cabinets. The two cabinetry styles manufactured by Brooklyn are contemporary and

maria [59]

Answer:

See Step by step explanation

Step-by-step explanation:

Objective Function: z

x = number of contemporary style

y = number of farmhouse style

Costs

Carpentry costs:

15*2*x + 15*2,5*y = 30*x + 37,5*y

Painting costs

12*1,5*x + 12*1*y = 18*x + 12*y

Finishing costs

18*1,3*x + 18*1,2*y = 23,4*x + 21,6*y

Total costs:

30*x + 37,5*y + 18*x + 12*y + 23,4*x + 21,6*y

71,4*x + 71,1*y

z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize

z = 18,6*x + 13,9*y to maximize

Subject to:

First constraint:

Hours available in carpentry 3000

2*x + 2,5*y ≤ 3000

Second constraint

Hours available in painting 1500

1,5*x + 1*y ≤ 1500

Third constraint

Hours available in finishing 1500

1,3*x + 1,2*y ≤ 1500

Fourth constraint

Minimum quantity of contemporary style 500

x ≥ 500

Fifth constraint

Minimum quantity of farmhouse style 650

y ≥ 650

General constraints:

x ≥ 0 y ≥ 0 x , y integers

Model:

z = 90*x + 85*y - ( 71,4*x + 71,1*y ) to maximize

Subject to:

2*x + 2,5*y ≤ 3000

1,5*x + 1*y ≤ 1500

1,3*x + 1,2*y ≤ 1500

x ≥ 500

y ≥ 650

x ≥ 0 y ≥ 0 x , y integers

8 0

3 years ago

Use the quadrant system to find the area of the polygon shown

shusha [124]

use the quadrant system to find the area of the polygon shown

44 square units

54 square units

36 square units

52 square units

True 44 square units

3 0

3 years ago

Butch, Harry, and Nicky are playing a game. Harry has half as many points as

ryzh [129]

Answer:

Step-by-step explanation:

H=1/2 * B

N=H-5= 1/2 * B-5

B+H+N= B+(1/2 *B) + (1/2 *B-5)=31

2B-5=31

B=18

H=1/2 *B=9

4 0

4 years ago

A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?

saul85 [17]

Answer:

Option D. 3 + 9i

Step-by-step explanation:

We know that the formula to find the middle point is:

$(\frac{x_1 + x_2}{2},\frac{z_1 + z_2}{2})$

We know that the middle point is:

$-1 + i$

And the end point $(x_2, z_2)$ is: $-5 -7i$

We wish to find the point $x_1,z_1$

So we can write the following equation

$\frac{x_1 + (-5)}{2} = -1$ (i)

and

$\frac{z_1 + (-7i)}{2} = i$ (ii)

Now we clear $x_1$ from equation (i) and clear $z_1$ from equation (ii)

For equation (i) we have:

$-2 = x_1 -5 \\\\x_1 = 3$

For equation (ii) we have:

$2i = z_1 -7i\\\\z_1 = 9i$

Then the initial point $x_1, z_1$ is: $3 + 9i$

The correct answer is the last option 3 +9i

3 0

3 years ago

The side lengths of a triangle are 5,3, and 4. Is this a right triangle?

alekssr [168]

Answer:

YES

Step-by-step explanation:

as 5,3 and 4 are Pythagorean triplets, with 5 being C/the hypothenuse it would work as a right angled triangle.

3^2+4^2=c^2

9+16=c^2

25=c^2 c=5

7 0

2 years ago