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!
2*3 = 6 teaspoons per day per child
6*5 = 30 teaspoons
30*3 = 90 teaspoons
You need 90 teaspoons
1 teaspoon = 4.9289 mL
90*4.9289 = 443.6010 mL
443.6010 / 150 = 2.9573 bottles
You need at least 3 bottles
Option D: 
; all real numbers.
Explanation:
Given that the functions are 
and 
We need to determine the value of 
and its domain.
<u>The value of </u><u>:</u>
The value of can be determined by multiplying the two functions.
Thus, we have,
Thus, the value of is
<u>Domain:</u>
We need to determine the domain of the function
The domain of the function is the set of all independent x - values for which the function is real and well defined.
Thus, the function has no undefined constraints, the function is well defined for all real numbers.
Hence, Option D is the correct answer.
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Answer:
It’s A, D, and E
The magnetic field lines flow from Earth’s geographic South Pole to Earth’s
geographic North Pole.
The magnetic field is generated in Earth’s core.
The magnetic field is similar to the magnetic field of a bar magnet.
thank youhave a good day
