Find the domain of the given funciton
domain is numbers you can use in the function for x
so fractions
remember
never divide by 0
find what number makes denomenator 0 and restrict that
x-8=0
x=8
the domain is all real numbers except fo 8
Answer:
3/4
pick 1,3,5 (reds) from 1,3,5,7(odd-numbered)
15.12 miles/ 6.3 hours= 2.4 miles/hour.
The final answer is 2.4 miles per hour~
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0