Answer:


Step-by-step explanation:
Solve Using the Quadratic Formula
4x^2 + 8x − 5 = 0
Use the quadratic formula to find the solutions.
−b ± √b^2 − 4 (ac)
-------------------------
2a
Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.
−8 ± √82 − 4 ⋅ (4 ⋅ −5)
-------------------------
2 ⋅ 4
Simplify the numerator.
Raise 8 to the p ower of 2.
−8 ± √64 − 4 ⋅ 4 ⋅ −5
x= ---------------------------
2 ⋅ 4
Multiply −4 by 4.
−8 ± √64 − 16 ⋅ −5
x = -------------------------
2 ⋅ 4
Multiply −16 by −5.
−8 ± √64 + 80
x = -------------------
2 ⋅ 4
Add 64 and 80.
−8 ± √144
x = --------------
2 ⋅ 4
Rewrite 144 as 12^2.
−8 ± √122
x = ------------
2 ⋅ 4
Pull terms out from under the radical, assuming positive real numbers.
multiply 2 by 4
−8 ± 12
x= ------------
8
simplify
−2 ± 3
x= ---------
2
The final answer is the combination of both solutions.
x= 1/2, -5/2
Hope this helped!
Answer:

20 gallons of water is leaked after an hour.
Step-by-step explanation:
Water is leaking at a constant rate of 1/3 gallon per minute.
a) We have to write a linear equation in two variables that show the amount of water, w, in gallons, that is leaked from the faucet after t minutes.
So, the equation is
......... (1) (Answer)
b) Now, if t = 1 hour i.e. 60 minutes, then from equation (1) we can write
gallons.
Therefore, 20 gallons of water is leaked after an hour. (Answer)
<span>Volume = 4/3*pi*r^3
As diameter = 6 inches
Radius = Diameter / 2
Radius = 6/ 2
Radius = 3 inches
Putting the value of r in the formula :
=4/3*pi*3^3
</span><span> =4/3*pi*27
</span>= 36*pi
So according to above explanation,
<span>B) V = 36 π cubic inches , is the correct answer.</span>
Answer:
D
Step-by-step explanation:
Hello there.
Question: <span>Jayden wants to solve the equation n + 67 = 81. He writes the equation n + 67 - 67 = 81 - 67 to find the value of n. Will Jayden get the correct answer using this equation?
Answer: n + 67 - 67.
In this part of the equation the 67 would cancel out.
Which leaves n = 81 - 67.
This would get the correct answer to the equation.
Solving the equation meant that he would have to subtract 67 from both sides.
Which he has done.
Solving the equation:
81 - 67 = 14
n = 14.
</span>Hope This Helps You!
Good Luck Studying ^-^