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Elena-2011 [213]
3 years ago
9

Find the range of the following data. Scores:81,79,80,88,72,96,86,73,79,88

Mathematics
1 answer:
kumpel [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Range is subtracting the lowest number with the highest therefore 72-96 and you will get 24

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Use the function f(x) = −16x^2 + 22x + 3 to answer the questions.
vaieri [72.5K]

Answer:

see below

Step-by-step explanation:

f(x) = −16x^2 + 22x + 3

Factor out the negative

f(x) = -( 16x^2 -22x -3)

      = -(8x+1)(2x-3)

Find the x intercepts

Set y = 0

0 = -(8x+1)(2x-3)

Using the zero product property

8x+1 =0     2x-3 = 0

8x = -1           2x = 3

x = -1/8             x =3/2

The x intercepts are ( -1/8, 0)  and ( 3/2, 0)

The end behavior

-16 x^2 is the dominate term

Let x →-∞

f(-∞) = -16 (-∞)^2 = -16 (∞) = -∞

As x goes to negative infinity  y goes to - infinity

Let x →∞

f(∞) = -16 (∞)^2 = -16 (∞) = -∞

As x goes to  infinity  y goes to - infinity

We know this is a downward facing parabola  a < 0 and this is a quadratic

We have the x intercepts

We can find the axis of symmetry from the zeros

(-1/8+ 3/2) /2 = (-1/8 + 12/8)/2 = (11/8)/2 = 11/6

The axis of symmetry is x = 11/16

Using the axis of symmetry and the equation, we can find the maximum point

y =  -(8*11/16+1)(2*11/16-3) = 169/16

The vertex is at (11/16, 169/16(

7 0
3 years ago
A game show contestant starts a game by answering two questions incorrectly. Each incorrect answer costs the contestant $600. Us
Aleks [24]
The answer is -1,200
4 0
3 years ago
(Recall, to solve |u| = c, one must solve u = c and u = −c.)<br> Solve: |3x-1| +2=8
11Alexandr11 [23.1K]

Answer:

The answer is 5/3, 1 2/3, and 1.67

Step-by-step explanation:

The answer to this problem is simple as everything between the two lines will come out to be a positive. So the equation will end up coming out to be 3x+1+2=8.

Now we add the 1 and 2....

3x+3=8

To make this problems simple we can subtract the 3 from the left side and do the same on the right side making the equation say...

3x=5

Now we can make it easier to solve but it will not be a whole number. We now divide 3 from the left and right side leaving us with....

x = 5/3

So this answer could be 5/3 , 1 2/3, and 1.67

4 0
1 year ago
Jake earned $400 over the summer. He earned $220 mowing lawns, and he earned the rest washing cars for $10 each. He used this eq
denis-greek [22]

Answer:

he washed 18 cars over the summer

Step-by-step explanation:

400-220=180 dividing it by 10 equals 18

4 0
3 years ago
The sum of three times a number and −4 is less than 17?
Pavlova-9 [17]

Answer:

3(n + 4) ≤ 10 is the equation and the solution is n ≤ -2/3 Decimal Form: -0.666667

hope this helps you

Step-by-step explanation:

7 0
3 years ago
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