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DerKrebs [107]
3 years ago
6

A teacher changed to grading from 50 points + 5 for each correct answer to 50 points + 7 for each correct answer. What would cha

nge: the slope. The y intercept, both the slope and the y intercept or nothing
Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

The slope

Step-by-step explanation:

Given that:

Initial grading ; For each correct answer : 50 points + 5

New grading ; For each correct answer = 50 + 7 points

The reading coukd be expressed in slope intercept form of an equation as :

Initial grading :

y = 50 + 5x

New grading :

y = 50 + 7x

y = total score ; x = number of correct answers

The change in y per unit change in x which is the slope, is the only difference in the two equations, the intercept (50) stays the same.

Therefore, only the slope changes.

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What is the equation of a parabola if the vertex is (1, 4) and the directrix is located at y = 7?
Oksana_A [137]

According to the vertex and the directrix of the given parabola, the equation is:

y = \frac{3}{4}(x - 1)^2 + 4

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

h = 1, k = 4

The directrix is at y = 7, hence:

4 + 4a = 7

a = \frac{3}{4}

Hence, the equation is:

y = a(x - h)^2 + k

y = \frac{3}{4}(x - 1)^2 + 4

More can be learned about the equation of a parabola at brainly.com/question/26144898

4 0
2 years ago
PLEASE HELP and Show your work please!!
bazaltina [42]

9514 1404 393

Answer:

  2)  3 pages per hour

  3)  4/29 km per minute

Step-by-step explanation:

Division by a fraction is the same as multiplication by the inverse of that fraction.

<h3>2) </h3>

  \dfrac{\ \dfrac{9}{4}\ }{\dfrac{3}{4}}=\dfrac{9}{4}\times\dfrac{4}{3}=\dfrac{36}{12}=\boxed{3\text{ pages per hour}}

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<h3>3) </h3>

  \dfrac{2\text{ km}}{\dfrac{29}{2}\text{ min}}=2\times\dfrac{2}{29}\text{ km/min}=\boxed{\dfrac{4}{29}\text{ km/min}}

8 0
2 years ago
A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst
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Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current.  Each of these things will be represented by a different variable:

B = speed of the boat in still water  

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?  

Rate problems are based on the relationship Distance = (Rate)(Time).


Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour.  On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour.  The resulting speed of the boat (traveling downstream) is B+C miles per hour.  Put this info in the second column in the chart.  Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!

6 0
2 years ago
Jason is playing a trivia game with his friends. At the end of each round, his score updates to the square of 1 less than the pr
mezya [45]

Answer:

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Step-by-step explanation:

3 0
2 years ago
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A circle has a circumference of 113.04. What is the diameter of the circle?
Alekssandra [29.7K]

Answer:

56.52

Step-by-step explanation:

because the circumference is double the diameter and the circumference is 113.04 so half of that is 56.52

8 0
3 years ago
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