Answer:
x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Step-by-step explanation:
Solve for x:
x + 4 + 1/x = (10 x)/7
Bring x + 4 + 1/x together using the common denominator x:
(x^2 + 4 x + 1)/x = (10 x)/7
Cross multiply:
7 (x^2 + 4 x + 1) = 10 x^2
Expand out terms of the left hand side:
7 x^2 + 28 x + 7 = 10 x^2
Subtract 10 x^2 from both sides:
-3 x^2 + 28 x + 7 = 0
Divide both sides by -3:
x^2 - (28 x)/3 - 7/3 = 0
Add 7/3 to both sides:
x^2 - (28 x)/3 = 7/3
Add 196/9 to both sides:
x^2 - (28 x)/3 + 196/9 = 217/9
Write the left hand side as a square:
(x - 14/3)^2 = 217/9
Take the square root of both sides:
x - 14/3 = sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
x = 14/3 + sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
Answer: x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Answer:
Simplifying
an = 8n + -7
Reorder the terms:
an = -7 + 8n
Solving
an = -7 + 8n
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Divide each side by 'n'.
a = -7n-1 + 8
Simplifying
a = -7n-1 + 8
Reorder the terms:
a = 8 + -7n-1
Answer:
1) False. 2) False.
Step-by-step explanation:
1) False. 2) False.
1) is false because it says, "A total of 40 students can type from 0-59 words per minute." 0-14w=5s, 15-29w=10s, 10-44w=14s, and 45-59w=20s. w= words per minutes s= number of students (BTW) 5+10+14+20=54 not 40
2) is false because it says, "The number of students who typed 45-59 words per minute is equal to the number of students who typed 15-39 and 0-14."
45-59w=20s
15-39w=10s and 0-14w=5s
10s+5s=15s
20s>15s
Answer:
Below.
Step-by-step explanation:
So let's do this Divide both sides.
equals to,
y+2>2
Cancel out equal terms.
y>0.
By definition of conditional probability,
The inclusion-exclusion principle tells us
Then
