The exact value of x is 2.
<h3>What is linear equation?</h3>
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
32⁽¹/²⁾ = 2⁵⁽¹/²⁾
32⁽¹/²⁾ = 2⁽⁵/²⁾
8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾
8⁽¹/⁶⁾ = 2⁽¹/²⁾
8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ
= 2⁽¹/²⁾+ˣ
= 2⁽¹/²+ˣ⁾
since 8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
= 2⁽⁵/²⁾
2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾
equate the powers
1/2+ x = 5/2
subtract 1/2 from both sides
x = 5/2 - 1/2
x = (5-1)/2
x = 4/2
x= 2
Therefore, x = 2 is the exact value of x.
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Answer:
x<5
Step-by-step explanation:
View Picture
Decrease means minus or '-'
it is an operation because it opperates or does something to the numbers. it is like a verb
an integer is the thing being operated on. it is like the noun
Answer:
See below ~
Step-by-step explanation:
Sides of a rhombus are equal.
⇒ QT = TS
⇒ x² - 4x - 10 = 6x + 14
⇒ x² - 10x - 24 = 0
⇒ x² + 2x - 12x - 24 = 0
⇒ x (x + 2) - 12 (x + 2) = 0
⇒ (x + 2)(x - 12) = 0
⇒ x = -2 or x = 12
Substitute both values and see which gives a positive value for QT :
<u>When x = -2</u> :
- QT = (-2)² - 4(-2) - 10
- QT = 4 + 8 - 10
- QT = 2
<u>When x = 12</u> :
- QT = (12)² - 4(12) - 10
- QT = 144 - 48 - 10
- QT = 86
The 2 possible answers are :
- x = -2, QT = 2
- x = 12, QT = 86
Answer:
Both lights would flash together after every 30 seconds.
Step-by-step explanation:
6 = 2 * 3 and 10 = 2 * 5.
LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.
Therefore, both lights wold flash together after every 30 seconds.
