Step-by-step explanation:
(x^3 - 9x) divided by (x^3 + x^2 - 6x)
= x(x^2 - 9) divided by x(x^2 + x - 6)
= x(x + 3)(x - 3) divided by x(x - 2)(x + 3)
= (x - 3)/(x - 2).
Answer:
the ratio of teaspoons of sugar to one large coffee is 3: 1
Step-by-step explanation:
The computation of the ratio of sugar teaspoons to one large coffee is as follows:
Sugar teaspoons = 2 + 1 = 3
And, the one large coffee = 1
So, based on the above information
The ratio between them is
= 3:1
= 3 to 1
hence, the ratio of teaspoons of sugar to one large coffee is 3: 1
How would I at least start out those two problems?
It looks to me like you already did. Now just follow through with it.
If the length of each side of the frame's inner dimension (i.e. the glass) is x, and the length of each side of the frame's outer dimension is x^2 - 3, then the area of the frame is:
A = (outer dimension)^2 - (inner dimension)^2
27 = (x^2 - 3)^2 - (x)^2
27 = x^4 - 6x^2 + 9 - x^2
27 = x^4 - 7x^2 + 9 <----- This is where you got to already.
0 = x^4 - 7x^2 - 18
0 = (x^2 - 9)(x^2 + 2)
Therefore, either x^2 = 9 or x^2 = -2... and you know it can't be the latter.
Thus, x^2 = 9 and therefore x = 3. The glass is 3" on each side.
<span>Each (outer) side of the frame is x^2 - 3 = 9 - 3 = 6" </span>
Answer:
$8.75
Step-by-step explanation:
Simple interest can be determined using this formula :
principal x time x interest rate
principal = $1400
time = 6 months = 6/12 = 0.5
interest rate = 1.25%
$1400 x 0.5 x 0.0125 = $8.75
Answer:
x
=
−
2
±
√
10
3
Step-by-step explanation:
