Solve for all values of x by factoring. X^2-x+1=3
2 answers:
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The equation represent a linear relation with the y-intercept
representing the amount of initial fee.
Correct response:
1. 28 volleyball uniforms
2. Price per uniform
3. Initial flat order fee
4. 10 fewer volleyball uniform
<h3>Methods used for finding the above values</h3>The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35
Where;
C = The uniform costs
n = The number of volleyball uniform ordered
The maximum amount the school has to spend = $600
1. The number of uniforms the school can buy is given by setting C = 600 as follows;
- C = 20·n + 35
Therefore;
600 = 20·n + 35
20·n = 600 - 35 = 565
Rounding down to the nearest whole number, we have;
- The number of uniforms the school can buy, n = <u>28 volleyball uniforms</u>.
2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;
- 20 represents a <u>$20 price per uniform</u>.
3. The 35 in the equation represents an initial <u>flat fee</u>, such as an
ordering or initial fee, which is fixed.
Therefore;
- The number 35 represent the <u>fixed cost </u>for producing the uniforms
4. The price per uniform of $30 changes the coefficient of <em>n</em> from 20 to 30 as follows;
C = 30·n + 35
The number of uniforms the school can by with $600 is therefore;
Which gives;
The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms
The difference in the number of uniforms purchased = 28 - 18 = 10
Therefore;
- The school can purchase <u>10 fewer uniforms</u> at $30 per uniform
Learn more about linear equations here:
Using Pythagoras theorem, we know that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle
<h3>How to use Pythagoras theorem to prove a right triangle?</h3>The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
Therefore,
c²= a²+ b²
where
- c = hypotenuse side
- a and b are the other legs.
Therefore,
3² + 4² = 5²
Hence,
Knowing that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle
learn more on Pythagoras's theorem here: brainly.com/question/20462170
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