Answer:

Step-by-step explanation:





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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Given:
Cost of small candles = $4.00
Cost of large candles = $6.00
They have at most 50 candles, and want to make at least $100.
To find:
The system of linear inequalities represents the situation.
Solution:
Let x be the number of small candles and y be the number of large candles.
At most 50 candles means total candles must be less than or equal to 50.

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

Therefore, the inequalities in the system of linear inequalities are
and
.
Answer:
Answer is 4
Step-by-step explanation:

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Answer:
0
Step-by-step explanation:
The slope formula is [ y2-y1/x2-x1 ]
We can use the given points to solve.
0-0/2-(-4)
0/6
0
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