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3 years ago

Find the axis of symmetry for this parabola:

Mathematics

1 answer:

lara31 [8.8K]3 years ago

6 0

Answer:

x = - 1

Step-by-step explanation:

The equation of the axis of symmetry for a parabola in standard form

y = ax² + bx + c : a ≠ 0 is found using

x = - $\frac{b}{2a}$

y = - x² - 2x - 5 ← is in standard form

with a = - 1 and b = - 2, thus equation of axis of symmetry is

x = - $\frac{-2}{-2}$ = - 1

Equation of axis of symmetry is x = - 1

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You have found the following ages (in years) of all 5 zebras at your local zoo: 8, 11, 17, 7, 19? What is the standard deviation

ivann1987 [24]

Answer:

$\bar X = \frac{8+11+17+7+19}{5}= 12.4$

And the can be founded with this formula:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}$

$s = \sqrt{\frac{(8-12.4)^2 +(11-12.4)^2 +(17-12.4)^2 +(7-12.4)^2 +(19-12.4)^2}{5-1}} =5.367$

And rounded to the nearest tenth we got $s= 5.4$

Step-by-step explanation:

For this case we have the following data given:

8, 11, 17, 7, 19

The first step is calculate the sample mean with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{8+11+17+7+19}{5}= 12.4$

And the deviation can be founded with this formula:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}$

And replacing we got:

$s = \sqrt{\frac{(8-12.4)^2 +(11-12.4)^2 +(17-12.4)^2 +(7-12.4)^2 +(19-12.4)^2}{5-1}} =5.367$

And rounded to the nearest tenth we got $s= 5.4$

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3 years ago

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The bathroom wall is 5.5 feet long what is the length of the wall in inches

Korvikt [17]

Answer:

the wall is 66 inches long

Step-by-step explanation:

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3 years ago

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4 years ago

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motikmotik

Answer:

the total will be 1

Step-by-step explanation:

ok so the denomitor are matching so you can add straight across

1/3 +2/3 = 3/3

3/3 = 1 whole so there fore your answer is 1

Angie<3 have the best of best day today

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3 years ago

Evaluate each expression. Determine if the final simplified form of the expression is positive or negative -42 (-4)2 42

Sati [7]

Answer:

Given the expression:

$-4^2$

we know:

$4^2 = 4 \times 4 = 16$

then;

$-4^2 = -16$

Therefore, the value of expression $-4^2$ is -16 i.e negative.

$(-4)^2$

we know:

$4^2 = 4 \times 4 = 16$

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then;

$(-4)^2 = (-1)^2 \cdot (4)^2= 16$

Therefore, the expression $(-4)^2$ is 16 i.e Positive.

$4^2$

we know:

$4^2 = 4 \times 4 = 16$

then;

$4^2 = 16$

Therefore, the expression $4^2$ is 16 i.e Positive.

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3 years ago