Answer:
Step-by-step explanation:
1. Regroup terms.
2. Add 1 to both sides.
3. Simplify 3x + 3 + 1 to 3x + 4.
4. Subtrect 3x from both sides.
5. Simplify 4x - 3x to x.
Therefor, the answer is, x = 4.
suppose your restaurant bill comes to $28.35. Find your total cost if the tax 6.25% and you leave a 20% tip on the amount before
1 answer:
You might be interested in
Answer:
The prediction for the number of transistor per IC in 1992 is of 4,194,304,000
Step-by-step explanation:
Moore's law:
Moore's law states that the number of transistors per IC doubles every year.
Format of the function:
Following Moore's law, t years after our initial estimative, the number of transistors per IC will be given by:
In which N(0) is the initial estimate.
The number of transistors per IC in 1972 seems to be about 4,000 (a rough estimate by eye).
This means that
So
What would you predict the number of transistors per IC to be 20 years later, in 1992?
This is N(20). So
The prediction for the number of transistor per IC in 1992 is of 4,194,304,000
Answer:
1.B
2.A
3. B
Step-by-step explanation:
1.
We have the denominator of the fraction as following:
As the initial one is a fraction, so that its denominator has to be different from 0.
=> () ≠ 0
⇔ (x +1) (x +5) ≠ 0
⇔ (x + 1) ≠ 0; (x +5) ≠ 0
⇔ x ≠ -1; x ≠ -5
Replace it into the initial equation, we have:
As (x+5) ≠ 0; we divide both numerator and denominator of the fraction by (x +5)
=>
So that with x ≠ 1; x ≠ -5
So that the answer is B.
2.
As the initial one is a fraction, so that its denominator has to be different from 0
=> x + 4 ≠ 0
=> x ≠ -4
As is also a fraction, so that its denominator (x-1) has to be different from 0
=> x - 1 ≠ 0
=> x ≠ 1
We have an equation:
=>
Replace it into the initial equation, we have:
As (x + 4) ≠ 0 (proven above), we can divide both numerator and the denominator of the fraction by (x +4)
=>
So that the initial equation is equal to with x ≠-4; x ≠1
=> So that the correct answer is A
3.
As the initial one is a fraction, so that its denominator (4x + x^2) has to be different from 0
We have:
(4x + x^2) = 4x + x.x = x ( x + 4)
So that: (4x + x^2) ≠ 0 ⇔ x ( x + 4 ) ≠ 0
⇔ ⇔
As (4x + x^2) = x ( x + 4) , we replace this into the initial fraction and have:
As x ≠ 0, we can divide both numerator and denominator of the fraction by x and have:
So that with x ≠ 0; x ≠ -4
=> The correct answer is B