Answer:
30(x+1)/(x+7)
Step-by-step explanation:
This is not a rational expression because denominator has a domain of which it can be undefined.
To rationalize multiply by the reciprocal of the denominator (1/6+1/x+1)
___<u>5___ </u>*(6)(x+1) --> _____<u>30(x+1)_____</u> --><u> 30x+1</u>_ --> <u>30x+1</u>
1/6+1/x+1 *(6)(x+1)--> 6(x+1)/6 + 6(x+1)/(x+1) --> (x+1)+6 --> x+7
Final Answer: 30(x+1)/(x+7)
F ( x ) = ( x + 3 )² - 8 = x² + 6 x + 9 - 8 = x² + 6 x + 1
For the quadratic function:
Axis of symmetry is: x = -b/ 2 a, where: a = 1, b = 6 ( because it it in the form:
y = a x² + b x + c ).
Therefore: x = -6 / 2 = -3.
f ( - 3 ) = ( - 3 + 3 )² - 8 = 0 - 8 = - 8
And D = b² - 4 a c = 6² - 4 * 1 * 1 = 36 - 4 = 32 ( greater than 0 ). It means that there are 2 real solutions.
Answer: x = - 3 , vertex : ( - 3 , - 8 ), Number of real solutions : 2.
a 1 = - 3 , a 2 = - 3 , a 3 = - 8 , a 4 = 2.
Answer:
37.69 (≈ 38 ft²)
Step-by-step explanation:
2πr = 30.77
r = 30.77 / (2 * 3.14) = 4.9
half of free-throw circle area: πr² / 2 = (3.14 * 4.9²) / 2 = 37.69 (≈ 38 ft²)
vol of wheat bag = 1.96 mater cuba so 258.72 / 1.96 = 392 bags I think this is the anwers. if wrong then sorry
(1 / 5) hour is 12 minutes and five times this equals 1 hour.
So the distance times 5 equals miles per hour.
(3 / 4) * 5 = 15 / 4 = 3.75 mph