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Tasya [4]
3 years ago
6

Translate the following, "Three times a number is at least that number plus 1 ""​

Mathematics
1 answer:
Elanso [62]3 years ago
8 0

Answer:

3x ≥ x+1

Step-by-step explanation:

Let the number be x.

ATQ,

Three times of a number = 3x

At least means ≥

So,

3x ≥ x+1

So, the required inequality is 3x ≥ x+1.

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Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value
algol [13]

Answer:

Minimum value of function C=x+10y is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

                                   C=x+10y

Subject to constraints:

                                   x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering x+y\geq 9, corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

                                    C=x+10y

at A(0,9)

                                     C=0+10(9)\\C=90

at B(3,9)

                                     C=3+10(9)\\C=93

at C(3,6)

                                     C=3+10(6)\\C=63

Minimum value of function C=x+10y is 63 occurs at point C (3,6).

3 0
3 years ago
MAAATTTHH HELP PLEEASSEE WILL GIVE 5 STARS FOR CORRECT ANSWERS
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100000 I really don’t know to be honest
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An automobile's radiator has a capacity of fifteen quarts, and it currently contains twelve quarts of a thirty percent antifreez
Paha777 [63]
[12(.3)+x(1)]/(12+x)=.4

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Read 2 more answers
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