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harina [27]
3 years ago
15

What is the original price of a telescope the discount is 30% and the sale price is $126?

Mathematics
2 answers:
laila [671]3 years ago
6 0
The original price would be $420
disa [49]3 years ago
6 0
X = The original price.

\displaystyle x\cdot   \frac{30}{100} = 126 \\\\ \frac{3x}{10}=126\\\\3x=1260\\\\x=420
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Which piecewise function is shown in the graph?
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Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b     (1)

Where:

  • x - Independent variable.
  • y - Dependent variable.
  • m - Slope
  • b - Intercept

By direct observation and by applying (1) we have the following <em>piecewise</em> function:

f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

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2 years ago
Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did Sean answer correctly?
ozzi
The answer is 90%. You get this answer by multiplying both the numerator and denominator by 5 so 18x5=90 and 20x5=100 giving you a fraction of 90/100 and a percentage of 90%.
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When a = 6 and b = 22, c = 33. If c varies directly with b and inversely with a, which equation models the situation?
deff fn [24]

Answer:

c= 9b/a

Step-by-step explanation:

The statement "y varies directly as x," means that when x increases, y increases by the same factor. The statement "y varies inversely as x means that when x increases, ydecreases by the same factor.

Then, we can say that:

c ∝ b, thus c= kb and c = k/a.

Using both equations we have that:

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Given that a=6, b=22 and c=33 we have that:

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Solving for k:

k=9.

Then the equation that models the situation is:

c= 9b/a

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