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Talja [164]
3 years ago
7

Given : 11x – 6y = –1; x = 8

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

B. a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Symmetric Property of Equality

Step-by-step explanation:

Given expression,

11x - 6y = -1; x = 8

By substituting x = 8,

11(8) - 6y = -1

88 - 6y =-1

By subtraction property of equality,

-6y = -89

Division property of equality,

y = \frac{89}{6}

By symmetric property of equality,

\frac{89}{6} = y

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For what values of x is x2 + 2x = 24 true?
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X² + 2x = 24 

Organizing:
x² + 2x - 24 = 0  
<<<< (<em>Quadratic </em><span><span><em>equation</em>)
</span>
</span><span>Delta:
</span>Δ = b²<span> - 4.a.c </span>
Δ = 2²<span> - 4 * 1 * -24 </span>
<span>Δ = 4 - 4 * 1 * -24 </span>
Δ = 100

<span>Bhaskara:
</span><span>x = (-b +- √Δ)/2*a
</span>
x' = (-2 + √100)/2*1   
x' = 8 / 2   
x' = 4   

x'' = (-2 - √100)/2*1
x'' = -12 / 2
x'' = -6

Result: x = 4 or<span> x = - 6 .
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Good studies! :)
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Jessica and Nancy are members of different video game libraries. Jessica pays a membership fee of $40, and she pays $5 for every
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The table below represents the displacement of a horse from its barn as a function of time:
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A. The y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the given table,

y - intercept = 8

Since at time zero the displacement is 8 ft, this means that the horse was already outside the barn initially.

B. The average rate of change of the function represents the slope of the linear equation (m). This can be calculated using the formula:

average rate of change = m = (y2 – y1) / (x2 – x1)

m = (158 – 58) / (3 – 1)

m = 50

<span>C.  Since we have determine the y-intercept and the slope, we can formulate the linear equation:</span>

y = m x + b

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The domain is the value of x. When y = 508, x is equivalent to

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6 0
3 years ago
Describe how (2 cubed) (2 superscript negative 4) can be simplified. Multiply the bases and add the exponents. Then find the rec
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Add the exponents and keep the same base. Then reciprocal it and change the sign of the exponent. Then the value of the exponent expression is 0.5.

<h3>What is an exponent?</h3>

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The exponent expression is 2³ × 2⁻⁴ can be simplified.

Add the exponents and keep the same base. Then we have

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Then find the reciprocal and change the sign of the exponent.

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The value is 0.5.

More about the exponent link is given below.

brainly.com/question/5497425

7 0
2 years ago
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