The answer is 1 because4 is close to 5
Answer:
3.025 x 10³ sq ft
Step-by-step explanation:
Answer:
398 * 1.034^t
Step-by-step explanation:
P = 398(1 + 3.4%)^t = 398 * 1.034^t
Answer: Choice E
multiply to give a*c and add to get b
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This is known as the AC factoring method based on how you multiply the first and last coefficients (a and c) and use that product to figure out which factors add to the middle coefficient.
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An example:
6x^2 + 35x + 50
We have a = 6, b = 35, c = 50
Multiply a and c and we get: a*c = 6*50 = 300
We need to find factors of 300 that pair up and add to 35
Through trial and error you should find,
15 * 20 = 300
15 + 20 = 35
The two numbers are therefore 15 and 20.
So we break 35x into 15x+20x and use the factor by grouping method
6x^2 + 35x + 50
6x^2 + 15x + 20x + 50
(6x^2 + 15x) + (20x + 50)
3x(2x + 5) + 10(2x + 5)
(3x + 10)(2x + 5)
We see that 6x^2 + 35x + 50 factors to (3x + 10)(2x + 5)
Use the FOIL method or the box method or distribution to help see that (3x + 10)(2x + 5) expands back to 6x^2 + 35x + 50.
Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
