Kenny plans to paint the mailbox below. If it costs $3.50 per quart of paint and one quart will cover 10 square feet, how many q
1 answer:
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Answer:
The solution of the inequality - 35x + 15 > 720 is
Step-by-step explanation:
Consider the given inequality
- 35x + 15 > 720
Subtract both side by 15 , we get
- 35x + 15 - 15 > 720 - 15
- 35x > 705
Multiply both sides by -1 (Reverse the inequality )
(-35x)(-1) < 705 (-1)
35x < -705
Now, divide both side by 35
Thus, the solution of the inequality - 35x + 15 > 720 is
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!