Answer:
x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x over the real numbers:
x/x - 1 = x - 3 - 2/x
x/x - 1 = 0:
0 = x - 3 - 2/x
0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:
x - 3 - 2/x = 0
Bring x - 3 - 2/x together using the common denominator x:
(x^2 - 3 x - 2)/x = 0
Multiply both sides by x:
x^2 - 3 x - 2 = 0
Add 2 to both sides:
x^2 - 3 x = 2
Add 9/4 to both sides:
x^2 - 3 x + 9/4 = 17/4
Write the left hand side as a square:
(x - 3/2)^2 = 17/4
Take the square root of both sides:
x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2
Add 3/2 to both sides:
Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2
For this case we have the following expression:
(5c ^ 2-15c ^ 3) / (20c ^ 2d + 25c ^ 2)
We make common factor c ^ 2:
(c ^ 2 (5-15c)) / (c ^ 2 (20d + 25))
We do common factor 5:
(5c ^ 2 (1-3c)) / (5c ^ 2 (4d + 5))
Canceling similar terms we have:
(1-3c) / (4d + 5)
Answer:
The simplified expression is given by:
(1-3c) / (4d + 5)
Answer:
y=-3
Step-by-step explanation:
y+3=0
y+3-3=0-3
y=-3
Answer:
Step-by-step explanation:
Let R be the amount of money Hillel raises is a function of t, the length of his performance in minutes.
We have been given that Hillel raises $15 for each minute of juggling performance. This means that change in amount of money with every minute of juggling performance is 15, so slope of our line will be 15 and money raised in t minutes of performance will be 15t.
His initial appearance raises $500, so 500 will be our y-intercept.
The total money raised by Hillel after t minutes of juggling performance will be: 
.
Since we know that line of an equation in slope-intercept form is: 
, where,
m = slope of line,
b = y-intercept.
We are also given that R is a function of t, so substituting our given values in slope-intercept form of equation we will get our function formula as:
Therefore, the function gives the amount R of money Hillel raises in t minutes of juggling performance.
<u>ANSWER</u>
B. (5.75, 0)
<u>EXPLANATION</u>
If the point P(x,y) partitioned
and
in the ratio m:n, then
If the coordinates are A(−4,12) and B(9,−4), then:
The correct choice is
