Answer:
Step-by-step explanation:
Write the equations in the form y = mx + b
If the equation contains exponents then it is non-linear, if not then it is linear.
2xy = 3
This graph forms a curve so it is non-linear
y = 1x³ + 5
This equation is non-linear because it contains an exponent
y = x/3
y = 1/3x + 0
This equation is linear ( no exponent(s) )
2y = 1/2x
y = 1/4x + 0
This equation is linear ( no exponent(s) )
Answer:
The slope is -1/2
Step-by-step explanation:
-1/2 is a negative slope. Down 1 to the right 2
Factor the following:
x^2 - 5 x - 24
Hint: | Factor x^2 - 5 x - 24 by finding two numbers whose product is -24 and whose sum is -5.
The factors of -24 that sum to -5 are 3 and -8. So, x^2 - 5 x - 24 = (x + 3) (x - 8):
Answer: (x + 3) (x - 8)
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Factor the following:
49 x^2 - 64
Hint: | Express 49 x^2 - 64 as a difference of squares.
49 x^2 - 64 = (7 x)^2 - 8^2:
(7 x)^2 - 8^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8):
Answer: (7 x - 8) (7 x + 8)
<span>-24 + 15 x + x^2
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Factor the following:
x^2 - x - 110
Hint: | Factor x^2 - x - 110 by finding two numbers whose product is -110 and whose sum is -1.
The factors of -110 that sum to -1 are 10 and -11. So, x^2 - x - 110 = (x + 10) (x - 11):
Answer: (x + 10) (x - 11)___________________________________________________________
Factor the following:
49 x^2 - 64
Hint: | Express 49 x^2 - 64 as a difference of squares.
49 x^2 - 64 = (7 x)^2 - 8^2:
(7 x)^2 - 8^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8):
Answer: (7 x - 8) (7 x + 8)
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Factor the following:
25 x^2 + 40 x - 10
Hint: | Factor out the greatest common divisor of the coefficients of 25 x^2 + 40 x - 10.
Factor 5 out of 25 x^2 + 40 x - 10:
Answer: 5 (5 x^2 + 8 x - 2)
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Factor the following:
9 x^2 + 3 x^2 - 6 x
Hint: | Add like terms in 9 x^2 + 3 x^2 - 6 x.
3 x^2 + 9 x^2 = 12 x^2:
12 x^2 - 6 x
Hint: | Factor common terms out of 12 x^2 - 6 x.
Factor 6 x out of 12 x^2 - 6 x:
Answer: 6 x (2 x - 1)
Answer:
$16,974.57
Step-by-step explanation:
The formula for future value is given by
where
FV = future value
PMT = amount deposited each period and is given as 200
i = rate per period = r/m where r is the interest rate and m the frequency of compounding. Here it is mentioned that r = 2.25% and interest is compounded annually ie once per year so m = 1
i = 2.25%/1 = 2.25% = 2.25/100 = 0.0225
The number of payments n = 48 since we make quarterly payments (4 per year) and we are asked to compute for 12 years
Plugging these values into the formula gives
which evaluates to
$16,974.57 which can be rounded up to $16975
depending on the accuracy you desire
Answer:
x= -23
Step-by-step explanation
Subtract 8 from itself and form -15
x+8= -15
-8 -8
x= -23
