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dmitriy555 [2]
3 years ago
10

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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The top 1/8 of the runners advance to the finals for the track and field competition. What is the decimal value of the number? S
egoroff_w [7]
To find the decimal form, you have to manually divide 1 by 8. Since 8 is greater than 1, the quotient would then start with 0., then you add a 0 next to 1, to make it 10. This time, divide 10 by 8. The nearest answer would be 1, because 1 *8 = 8. Subtracting this from 10, you get 2. Add another 0 to 2, to make it 20. Do the cycle all over again. The complete solution is as follows:
          0.125
       ---------------------------
   8 |   10
         - 8
        ------------------------
           20
         -16
          -------------
            40
          - 40
       -------------
            0

<em>Hence, the decimal form of 1/8 is 0.125.</em>
8 0
3 years ago
One side of an isosceles triangle is 2x + 1 ft long. The other two sides are both 34-1 ft long. The perimeter of the triangle is
trasher [3.6K]

Answer:

(3x-1) + (3x-1) + (2x+1) = 55

Step-by-step explanation:

1.  3x + 3x + 2x = 8x

2.  -1 + -1 + 1 = -1

3. 8x -1 = 55

4.  8x = 55 + 1

5.  8x = 56/8

6.    x = 7

5 0
3 years ago
Read 2 more answers
Line m passes through the points (-4, 3) and (-4, 7). What is the slope of the line that is parallel to line m?
Oksi-84 [34.3K]
Gradient=rise/run=y2-y1/x2-x1

= 7-3(4)/-4--4(0)

As you can't divide by zero the line's equation is x=-4 so it doesn't have a gradient as such. However, a parallel line would be the y-axis
3 0
3 years ago
Read 2 more answers
I need to answer this before 11:59 pm by today , i will give you 10 points!!!
Firdavs [7]

Answer:

For first part, t= 0.18 sec or 3.4 sec.

For second part, t= 3.7 sec.

Step by step answer:

First part:

Set h(t) = 17and solve for tt.

-16t²+ 58t + 7= 17

-16t² + 58t - 10 = 0

Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 17 on the way up, and the higher value is the time to reach 17 again, on the way down.

Second part:

Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.

7 0
3 years ago
20.   7.2 x 12 x 0.23 = ? Round to the nearest hundredth. A. 19.43 B. 19.44 C. 19.87 D. 19.88
BaLLatris [955]
7.2*12*0.23
=86.4*0.23
=19.872
≈19.87. As a result, the answer is C. Hope it help!
7 0
3 years ago
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