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Galina-37 [17]
3 years ago
14

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

7 0
3 years ago
Read 2 more answers
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:

hope this helps :)

5 0
3 years ago
I am doing tessellations I need help what does this look like​
Naily [24]

I can’t do it rn so just dm me later

7 0
4 years ago
HEEEEEELLLLLLLLPPPPPPPPPPPPP-2/3+1/3
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

6 0
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:

1.

-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.

2.

(-4)^2

we know:

4^2 = 4 \times 4 = 16

(-1)^2 = 1

then;

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

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

3.

4^2

we know:

4^2 = 4 \times 4 = 16

then;

4^2 = 16

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


8 0
3 years ago
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