Answer:
Step-by-step explanation:
a)
Smallest number of equations required are:
Let equations are
b)
Yes we can add one more equation
c)
We can add infinite such equations so that solution remains same.
d)
General form of such equations are called inconsistent equations
Answer:
A. y = 3x; 30 feet
Step-by-step explanation:
The person travels 75 feet in 25 seconds, meaning that he will travel 3 feet per second.
75/25 = 3
This means that the equation will be y = 3x. To find the the feet traveled after 10 seconds, plug 10 into the given equation and solve for y.
y = 3x
y = 3(10)
y = 30
The person will travel 30 feet.
9514 1404 393
Answer:
3 < x < 6
Step-by-step explanation:
Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.
P = 2(L +W)
P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify
The perimeter wants to be between 38 and 74 cm, so we have ...
38 < 12x +2 < 74
36 < 12x < 72 . . . . . subtract 2
3 < x < 6 . . . . . . . . . divide by 6
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<em>Additional comment</em>
Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.
Here, our first step was to subtract 2 from all parts of the inequality:
38 -2 < 12x +2 -2 < 74 -2 ⇒ 36 < 12x < 72
The division by 12 worked the same way: all parts are divided by 12.
36/12 < (12x)/12 < 72/12 ⇒ 3 < x < 6
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If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.
=(4/7)^3
=(4/7)*(4/7)*(4/7)
=4*4*4 / 7*7*7
=4^3 / 7^3
=64/343
Answer is D.
Answer:
13
Step-by-step explanation:
3n+1
Let n= 4
3(4)+1
12+1
13
