Answer:
there is no function
Step-by-step explanation:
Answer:
30%=1350
45%=2025
Step-by-step explanation:
30% of 4500 = 0.30 × 4500
=1350
45% of 4500 = 0.45 × 4500
=2025
There were <u>14 boys</u> at Mina's disco for her birthday.
<h3>What is a ratio?</h3>
A ratio is a quantitative value that shows the number of times a certain value is in another value.
<h3>The number of boys at the disco can be calculated as shown below:</h3>
It is given that for every 2 boys at the disco, there were 3 girls. This means that the ratio of boys to girls at the disco is 2:3.
Let the proportionality constant be x.
Therefore total boys and girls are 2x and 3x respectively.
There are 35 kids at the disco. This means that the number of boys plus girls is 35. It can be written as shown below:
<em>2x + 3x = 35</em>
<em>⇒ x = 35/5</em>
<em>⇒ x = </em><u><em>7</em></u>
<u />
Total number of boys = 2x
= 2 * 7
= <u>14 boys</u>
<u />
Therefore the total number of boys at the disco is <u>14</u>.
Learn more about ratios here: brainly.com/question/13513438
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The definition of the piece-wise function is:
- .
<h3>What is a piece-wise function?</h3>
A piece-wise function is a function that has different definitions, depending on the input.
In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:
m = (6 - (-4))/(2 - (-2)) = 2.5.
The y-intercept is of b = 1, hence the rule is:
For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:
.
More can be learned about piece-wise functions at brainly.com/question/27262465
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