8x+4y = 24. y= -2x+6. Since function is linear( polynomial with highest degree 1), y is defined for all real values of x. Hence domain of this function is x∈R. Since domain is all real values, range is (-∞,+∞).
Answer:
8 minutes
Step-by-step explanation:
Leo has already run 1 mile, leaving him with 4 more to finish the race. At 2 minutes a mile (a ridiculously impressive pace, considering the world record mile time is just a little under 3:45), it will then take him 4 x 2 = 8 minutes to cross the finish line.
Answer :
98°
Step by step explanation :
As we can see in figure,
∠F = 53°
∠H = 45°
So,

[Angle sum property, which states that the sum of all the angles of a triangle is 180°]
=> ∠FGH + 45° + 53° = 180°
=> ∠FGH = 180° - 98°
=> 
Now,
∠x + ∠FGH = 180°
[linear pair]
=> ∠x = 180° - 82°
=> 
<h2><u>Alternative Method :</u></h2>
We know that sum of two opposite interior angles is equal to the exterior angle.
So
∠x = ∠GHF + ∠HFG.
=> ∠x = 45 ° + 53°
=> 
Hope this helps!
Answer: 95/144
Explanation:
There are 12 light bulbs.
There are 5 defective bulbs.
There are 7 not defective bulbs.
P (at least one defective) = first one defective or second one defective or both defective.
P (at least one defective) = (5/12)(7/12) + (7/12)(5/12) + (5/12)(5/12) = 95/144
The answer is 11367736100!