Answer:
Step-by-step explanation: the money that Jessica spend on clothing is 1256
Answer:
____________
the answer is B
___________
explanation
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(x^2 - 2x) - 3xy + 6y
Factor out the greatest common factor (GCF) from each group.
x(x - 2) - 3y (x - 2)
Factor the polynomial by factoring out the greatest common factor, x - 2
(x - 2) (x - 3y)
Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
Answer:
6
Step-by-step explanation:
To find the third term substitute n = 3 into the n th term formula
a(3) = 
= 
= × 4 = 6
Answer:
The answer to your question is the big dog weighs 120 pounds
Step-by-step explanation:
Data
big dog = b
medium dog = m
small dog = s
Equations
b = 5s
m = 12 + s
s = 2/3 m
Process
1.- Substitute m in the last equation
s = 2/3(12 + s)
s = 24/3 + 2/3s
s - 2/3s = 8
1/3 s = 8
s = 8(3)
s = 24 pounds
2.- Substitute s in the first equation
b = 5(24)
b = 120 pounds
