<u><em>This would be k < 50.</em></u>
This inequality states that k, the price at which Nita wants to buy the new keyboard, is less than 50 dollars.
The correct answer is B) its graph is symmetrical about the y-axis.
A quadratic graph cannot be "folded" across the x-axis.
The domain, or set of inputs, is all real numbers; there is no value of x for which there will be no y.
The range, or set of outputs, is not all real numbers; there are values of y that will not be used in the graph.
Answer:
To prove:
X+Y.Z=(X+Y).(X+Z)
Taking R.H.S
= (X+Y).(X+Z)
By distributive law
= X.X+X.Z+X.Y+Y.Z --- (1)
From Boolean algebra
X.X = X
X.Y+X.Z = X.(Y+Z)
Using these in (1)
=X+X(Y+Z)+Y.Z
=X(1+(Y+Z)+Y.Z --- (2)
As we know (1+X) = 1
Then (2) becomes
=X.1+Y.Z
=X+Y.Z
Which is equal to R.H.S
Hence proved,
X+Y.Z=(X+Y).(X+Z)
Answer:
Step-by-step explanation:
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Look at the photo below for the answer.
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Answer:
x=7
Step-by-step explanation:
Simplifying
3x + 2(4 + 6x) = 113
3x + (4 * 2 + 6x * 2) = 113
3x + (8 + 12x) = 113
Reorder the terms:
8 + 3x + 12x = 113
Combine like terms: 3x + 12x = 15x
8 + 15x = 113
Solving
8 + 15x = 113
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 15x = 113 + -8
Combine like terms: 8 + -8 = 0
0 + 15x = 113 + -8
15x = 113 + -8
Combine like terms: 113 + -8 = 105
15x = 105
Divide each side by '15'.
x = 7
Simplifying
x = 7
