7(3x/1)=-1
7(3x)=-1
21x=-1
21x/21=-1/21
X=-1/21
Answer: -1/21
Answer:
The original number is 17.
Step-by-step explanation:
Answer:
Answer is 4 3/5
Step-by-step explanation:
Rewriting our equation with parts separated
=1+15+3+25
Solving the whole number parts
1+3=4
Solving the fraction parts
15+25=35
Combining the whole and fraction parts
4+35=435
<span>Resistance is a force that B. Slows objects down. It is a force that opposes the motion of an object. This is why objects exerting an effort force must overcome the resistance force in order to do work. There are various types of resistance forces such as friction (ex. air resistance) and drag force.</span>
Answer:
3) 67/441
Step-by-step explanation:
Comparing the given equation to the expressions you need to evaluate, you find there might be a simplification.
3x² +5x -7 = 0 . . . . . given equation
3x² +5x = 7 . . . . . . . add 7
x(3x +5) = 7 . . . . . . . factor
3x +5 = 7/x . . . . . . . . divide by x
Now, we can substitute into the expression you are evaluating to get ...
1/(3α +5)² +1/(3β +5)² = 1/(7/α)² +1/(7/β)² = (α² +β²)/49
__
We know that when we divide the original quadratic by 3, we get
x² +(5/3)x -7/3 = 0
and that (α+β) = -5/3, the opposite of the x coefficient, and that α·β = -7/3, the constant term. The sum of squares is ...
α² +β² = (α+β)² -2αβ = (-5/3)² -2(-7/3) = 25/9 +14/3 = 67/9
Then the value of the desired expression is ...
(67/9)/49 = 67/441
