First, open the parentheses (make sure you distribute the '-':
6x - 3x - 4 = x - 40
3x - 4 = x - 40
2x = -36
x = -18
The solution set is {-18}
Answer:
number 2
Step-by-step explanation:
Answer:
(a) The probability is 9.49%
(b) The probability is 38.28%
Step-by-step explanation:
The probability that a failure is due to induced substance is calculated as a multiplication as:
(13%) * (73%) = 9.49%
Where 13% is the percentage of heart failures that are due outside factors and 73% is the percentage of outside factors that are due induced substances.
On the other hand, the probability that a failure is due to disease or infection is the sum of the probability that a failure is due to disease and the probability that a failure is due to infection.
Then, the probability that a failure is due to disease is calculated as:
(87%) * (27%) = 23.49%
Where 87% is the percentage of heart failures that are due natural factors and 27% is the percentage of natural factors that are due disease.
At the same way, the probability that a failure is due to infection is calculated as:
(87%) * (17%) = 14.79%
So, the probability that a failure is due to disease or infection is:
23.49% + 14.79% = 38.28%
<h3><u>Answer:</u></h3>
- <u>x </u><u>-</u><u> </u><u>8</u>
<h3><u>Solution</u><u>:</u></h3>
We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.
- Also we are given the area of the rectangle as x² - 15x + 56 square meters .
We have to find the expression for another side of the rectangle i.e it's width
We will use the formula of area of rectangle to find the expression :
- <u>A</u><u>rea </u><u>=</u><u> </u><u>length </u><u>×</u><u> </u><u>width</u>
Therefore,
ㅤㅤ➝ A = l × w
ㅤㅤ➝ x² - 15x + 56 = ( x - 7 ) × w
ㅤㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w
ㅤㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w
ㅤㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w
ㅤㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )
ㅤㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )
ㅤㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )
ㅤㅤ➝ <u>w = ( x - 8 )</u>