Answer:
(x+1)²= 49, the answer is B
Step-by-step explanation:
x² + 2x = 48
x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]
(x+1)²= 49, the answer is B
Answer:
y = - 4x
Step-by-step explanation:
Here, it is given that the slope of a line is - 4 and the y-intercept is 0.
Now, if the slope of a straight line is m and the y-axis intercept is c, the by slope-intercept form the equation of the straight line is given as
y = mx + c ......... (1)
Therefore, in our case m = - 4 and c = 0 and using equation (1), the equation of the given straight line is
y = - 4x (Answer)
Answer:
The year is
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is

=> 
=> 
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as

=> 
Generally the year which the considered percentage will be attained is

=>
=>
308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.
<h3><u>Combination</u></h3>
Since a dairy needs 385 gallons of milk containing 6% butterfat, to determine how many gallons each of milk containing 7% butterfat and milk containing 2% butterfat must be used to obtain the desired 385 gallons, the following calculation must be performed:
- 385 x 0.06 = 23.1
- 300 x 0.07 + 85 x 0.02 = 22.7
- 310 x 0.07 + 75 x 0.02 = 23.2
- 308 x 0.07 + 77 x 0.02 = 23.1
Therefore, 308 gallons of 7% and 77 gallons of 2% are needed to obtain the desired 385 gallons.
Learn more about combination in brainly.com/question/27339616
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