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3 years ago

A student has learned that test scores in math are determined by this quadratic function: s(t) = -(t-6)^2 + 99

Mathematics

1 answer:

ser-zykov [4K]3 years ago

4 0

Answer:

a. 6, b. 99, c. 63

Step-by-step explanation:

A) The function s(t) is in the vertex form. The standard vertex form is a(x-h)+k where the vertex is (h,k). The vertex is the highest (or lowest in some cases) point of the graph, so if we use s(t) to get the vertex we get that h=6 and k=99. This means that for a student to get a perfect score they need to study 6 hours

B) We can just take the k value from the first question because that's the highest value for s(t), so the highest score will be 99

C) For this one just plug in 0 for time, so -(0-6)^2+99. This equals -(-6)^2+99, which equals 99-36 =63

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HELP!!!!!

Elis [28]

Line 1 and line 4 are parallel

Step-by-step explanation:

Two lines are said to be parallel if they have same slope.

In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.

Line 1:

$y=\frac{1}{3}(x+6)$

Applying distributive property,

$y=\frac{1}{3}x+2$

Line 2:

$y-6 = 3x\\\rightarrow y=3x+6$

Line 3:

$y=-3(x-4)$

Applying distributive property,

$y=-3x+12$

Line 4:

$3y+18=x$

re-arranging,

$3y=x-18\\y=\frac{1}{3}x-6$

Now we have rewritten all the lines in the form $y=mx+q$ , where m is the slope. By comparing the values of m, we see:

$m_1 = \frac{1}{3}\\m_2=3\\m_3 = -3\\m_4=\frac{1}{3}$

Therefore, the lines which are parallel are line 1 and line 4.

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3 years ago

A ′ B ′ C ′ triangle, A, prime, B, prime, C, prime is the image of △ A B C △ABCtriangle, A, B, C under a rotation about the orig

erma4kov [3.2K]

The angle of rotation of triangle ABC to A'B'C is 105°

<h3>How to illustrate the information?</h3>

It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.

Point B is also on the x axis and point B' is in the second quadrant.

In this case, the angle that depicts the second quadrant is 105°.

In conclusion, the correct option is D.

The complete question is:

Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)

Determine the angle of rotation

A. -105 degrees

B. -75 degrees

C. 75 degrees

D. 105 degrees

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1 year ago

What are the probabilities of rolling a specific number un a single dice if it is rolled 10 times

madreJ [45]

1 out of 10 I’m p sure

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3 years ago

Given the parent function f(x)=x^3 give the best description of the graph of y = -(2x)^3

GalinKa [24]

Answer:

Reflect and compress

Step-by-step explanation:

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3 years ago

Maria has gotten scores of 75, 77, 81 and 84 (out of a possible 100) on the four midterm examinations for a math class. If each

timofeeve [1]

Answer:

93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

Step-by-step explanation:

Given;

Each midterm exam = 15% of total grade

Final exam = 40% of total grade

Midterm scores = 75, 77, 81 and 84 (out of a possible 100)

Total midterm score = 75+77+81+84 = 317

To determine the grade of the four midterm exams in the total score;

We need to find the 15% of the midterm score;

= 15% of 317

= 0.15×317

= 47.55 %

To get a minimum score of 85 % of the total score, the amount of the total score to be secured in the final exam is;

Final exam = 85% - 47.55% = 37.45%

Since final exam is 40% of the total score;

It means she need to get 37.45% out of 40% of the final exam.

Converting it to a score of 100;

Final exam score = 37.45/40 × 100

Final exam score = 93.63

Therefore, she need to get a minimum of 93.63 out of 100 in the final exam

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2 years ago