Answer: x only can have complex values, not real values.
x = -1/4 - 1/4i and x = -1/4 + 1/4 i
Explanation:
Finding the possible values of x in the expression given is solving the quadratic equation.
8x² + 4x = - 1
Rearrange the terms:
8 (x² + x/2) = - 1 ← common factor 8 in the left side
x² + x/2 = - 1/8 ← division property
x² + x/2 + 1/16 = - 1/8 + 1/16 ← addition property
(x + 1/4)² = -1/8 + 1/16 ← -factor the perfect square trinomial in the left side
(x + 1/4)² = - 1/16 ← add the fractions in the right side
x + 1/4 = (+/-) √ (-1/16) ← square roots on both sides
x + 1/4 = (+/-) (1/4)i ← complex solution
x = - 1/4 +/- 1/4i
x = - 1/4 - 1/4i and x = - 1/4 + 1/4 i ← answer
Answer:
abdul has 15
keiko has 22
bob has 45
Step-by-step explanation:
82= a+7+3a+a
75=a+3a+a
75=5a
15=a
15=abdul
15+7=keiko
3(15)=bob
Answer:
C and D
Step-by-step explanation:
using the rules of exponents
A
= ![\sqrt[7]{125^3}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B125%5E3%7D)
≠ ![\sqrt[3]{125^7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%5E7%7D)
B
(
)^7 = 
≠ 
C
(
)^5 = 
← correct
D
(
)^9 = 
← correct
Answer:
800ml
Step-by-step explanation:
Convert 1/2L to ml.
One liter is 1,000 millimeters.
1000 * 1/2 = 500
1/2L is 50 ml.
Out of the given options, 800 ml is the biggest number. This means that 800 ml is the largest quantity.
Hope this helps.
The x-coordinate of the point which divide the line segment is 3.
Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.
When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.
To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.
Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).
Now, we will substitute these values in the formula, we get
x=(1/(1+3))(9-1)+1
x=(1/4)(8)+(1)
x=8/4+1
x=3
Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.
Learn about line segments from here brainly.com/question/10240790
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