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elena-14-01-66 [18.8K]
3 years ago
15

What’s 29.37 and 109.96 rounded to the nearest whole number

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

29.37 rounds to 29

109.96 rounds to 110

---------------------------

The rule is that if the decimal portion is 0.50 or higher, then you round up. Otherwise you round down.

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Solve for w, where w is a real number.
Ber [7]

Answer:

w= 9

Step-by-step explanation:

\sqrt{ - 4w + 61}  = w - 4

Square both sides:

-4w +61= (w -4)²

\boxed{(a - b)^{2}  = a^2 -2ab + b^2 }

Expand:

-4w +61= w² -2(w)(4) +4²

-4w +61= w² -8w +16

Simplify:

w² -8w +16 +4w -61= 0

w² -4w -45= 0

Factorize:

(w -9)(w +5)= 0

w -9= 0 or w +5= 0

w= 9 or w= -5 (reject)

Note:

-5 is rejected since we are only taking the positive value of the square root here. If the negative square root is taken into consideration, then w= -5 would give us -9 on both sides of the equation.

<u>Why </u><u>do </u><u>we </u><u>use </u><u>negative </u><u>square </u><u>root?</u>

When solving an equation such as x²= 4,

we have to consider than squaring any number removes the negative sign i.e., the result of a squared number is always positive.

In the case of x²= 4, x can be 2 or -2. Thus, whenever we introduce a square root, a '±' must be used.

However, back to our question, we did not introduce the square root so we should not consider the negative square root value.

6 0
2 years ago
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Write a sine function that has an amplitude of 5, a midline of 3 and a period of 6pi/7
Volgvan

Answer:

y = 5sin(6π/7) + 3

8 0
2 years ago
A circular puzzle is 20 inches in diameter. All of the pieces are about the same size. You want to know about how many pieces th
loris [4]

Answer:

circumference

Step-by-step explanation:

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3 years ago
Is the​ equation's graph opening up or​ down?
Inessa05 [86]

Answer:

Step-by-step explanation:

Your "y=2xsquared-12x+10" translates into y = 2x^2 - 12x + 10.  This factors into y = 2(x^2 - 6x + 5).

Setting this = to 0 results in y = 2(x - 5)(x - 1) = 0, so that the x-intercepts are (5,  0) and (1, 0).  The x-coordinate of the vertex lies halfway between x = 1 and x = 5, that is, at x = 3.  Using synthetic division to evaluate y = 2x^2 - 12x + 10 at x = 3, we get

3    2    -12    10

              6    -18

     ------------------

      2     -6     -8

Therefore, the vertex is located at (3, -8).

Setting x = 0 results in the y-intercept:  y = 2(0)^2 - 12(0) + 10 => (0, 10)

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I need help.......................
mina [271]

Answer: 9

Step-by-step explanation: 3 blocks tall multiplied by 3 blocks wide makes 9

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