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2 years ago

Which of the following shows the solution to the inequality

Mathematics

1 answer:

otez555 [7]2 years ago

7 0

Answer:

I got x = 1

Step-by-step explanation:

First to isolate the variable you add 3 to both sides which will give you 1/2x is less than or equal to 2. Then divide both sides by 1/2 and you will get x = 1. To check the answer I just did:

$1/2(1) -3 \leq -1\\1/2 -3\leq -1\\-2.5\leq -1$

And since -2.5 is less than -1 this statement is true. x does in fact equal 1

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Is the expression X space logical or space (Y space logical and space Z )equivalent to (X space logical or space Y )space logica

Anit [1.1K]

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)

8 0

2 years ago

What is 2/3 × 1/5what does this equal

Tom [10]

It’s 2/15

It’s just 2x1 and 3x5

6 0

2 years ago

A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each c

I am Lyosha [343]

4t+2c=200
2t+7c=400

I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t

Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each

Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each

Hope this helps! :)

6 0

3 years ago

Plz help i did it now

puteri [66]

56*4/5

=11.2*4

=44.8

that is the answer

6 0

2 years ago

Suppose f(x)=x^2 and g(x)=(1/3x)^2 which statement comepare the graph of f(x) to the graph of g(x)

statuscvo [17]

Answer: c

Step-by-step explanation:

8 0

2 years ago