Part A: To get an equation into standard form to represent the total amount rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.
Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}
Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
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This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
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The equation modeling <span>the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
</span><span>
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
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But if you are writing the equation in standard form it would be <span>
</span><span>
50x - y = -25
Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
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If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.<span>
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Writing the equation using the function notation would give us this
f(x) = 50x + 25
Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of </span>(2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
Answer:
Equation 0.5 + 1.75(x) = 4
x = 2movies
Step-by-step explanation:
Given that,
movie night will last for 4 hours
each movie take 1.75 hours
time for eating popcorn 0.5 hours
To find,
number of movies which can be watched
<h2>Equation</h2><h2>0.5 + 1.75(x) = 4</h2><h2>Solve for x</h2><h3>1.75(x) = 4 - 0.5</h3><h3>1.75(x) = 3.5</h3><h3>x = 3.5/1.75</h3><h3>x = 2 </h3>
So, total number of movies which could be watched in 4hr = 2
<h3 /><h3 /><h3 /><h3 /><h3 /><h3 /><h3 />
The roots of the given polynomials exist 
, and 
.
<h3>What is the formula of the quadratic equation?</h3>
For a quadratic equation of the form 
the solutions are
Therefore by using the formula we have
Let, a = 1, b = -16 and c = 54
Substitute the values in the above equation, and we get
simplifying the equation, we get
Therefore, the roots of the given polynomials are , and
.
To learn more about quadratic equations refer to:
brainly.com/question/1214333
#SPJ4
Answer:
B. a = 4, b = -8, c = -3
Step-by-step explanation:
The quadratic equation given is:
The general form of a quadratic equation is given as:
Let us put the given equation in this form and then compare with the general form of the quadratic equation.
Therefore, by comparing:
a = 4
b = -8
c = -3
The correct option is B
