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Archy [21]
3 years ago
13

The graph of a polynomial is shown below. Between which two x-values does this polynomial have an extreme value?

Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

C.-3 to -2

Step-by-step explanation:

From the picture attached, it can be seen that an extreme value, that is, a maximum of the polynomial is found between x = -3 and x = -2. In this extreme point, the polynomial has an approximate value of 4.5

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If you choose one student at random, what is the probability (±0.0001) that the student's score is between 20 and 30?
nordsb [41]
Z-score for 30 = (30 - 25) / 5.8 = 0.8621
z-score for 20 = (20 - 25) / 5.8 = -0.8621
:
Note find probabilities from z-tables
:
Probability ( 20 < X < 30 ) = 0.8051 - 0.1949 = 0.6102
5 0
3 years ago
Ms. Brack wants to hang a bulletin board with
Eduardwww [97]

Answer:

He needs 8.75 ft² polka dot paper to cover the board.

Step-by-step explanation:

How much polka dot paper she need to cover the board is the area of the board . The is a rectangle with length 3.5 ft long and width of 2.5 ft wide .

The area of the board(rectangle) = length × width

Area = LW

where

L= 3.5 ft

W = 2.5 ft

Area = 3.5 × 2.5

Area = 8.75 ft²

He needs 8.75 ft² polka dot paper to cover the board.

7 0
3 years ago
Help me please and thank u
marin [14]

\large \mathfrak{Solution : }

As we know :

Dividend = Divisor × Quotient ( taking remainder as 0 )

So, Quotient = Dividend ÷ Divisor

by using the above relation we can say :

  • q = t ÷ 23

therefore, correct option is C. t ÷ 23

6 0
3 years ago
Can someone help me please
aleksklad [387]

9514 1404 393

Answer:

 IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

  m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

<em>Additional comments</em>

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

  B +D = (-2+6, -9-3) = (4, -12)

  C +E = (0+4, -5-7) = (4, -12)

These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

__

If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)

7 0
3 years ago
Please help me on this!!<br> 5n+17≥n–3≥–15+5n
DENIUS [597]

Answer:

-5 ≤ n ≤ 3

Step-by-step explanation:

Firstly we solve the equation two at a time;

5n + 17 ≥ n - 3

5n - n ≥ -3 - 17

4n ≥ -20

n ≥ -5

-5 ≤ n

n - 3 ≥ -15 + 5n

n - 5n ≥ -15 + 3

-4n ≥ -12

-n ≥ -3

n ≤ 3

Therefore,

5n+17 ≥ n–3 ≥ –15+5n, becomes

-5 ≤ n ≤ 3

6 0
3 years ago
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