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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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Can some one help me please
frutty [35]
I believe The answer is B
6 0
2 years ago
Solve for the value of n.
frosja888 [35]

Answer:

n= 27

Step-by-step explanation:

To solve first subtract the 90-degree angle:

180-90= 90

Then, convert into an equation:

3n+9= 90

Subtract 9 from both sides:

3n=81

Then divide by 3:

n= 27

Hope this helps!

6 0
2 years ago
What is the value for y?<br> Enter your answer in the box.<br> y=
serious [3.7K]

Answer:

y =112

Step-by-step explanation:

Given

The attached triangle

Required

Find y

The attached triangle is isosceles; so:

x - 5=34

Also, we have:

y + x - 5 + 34=180 --- angles in a triangle

Substitute: x - 5=34

y + 34 + 34=180

Collect like terms

y =- 34 - 34+180

y =112

5 0
3 years ago
QUIZ
marta [7]

Answer:

B (5/8 - 6/8)

Step-by-step explanation:

Since we can just multiply the second fraction by two to get a similar denominator, we just need to multiply the second fraction.

5 0
3 years ago
Read 2 more answers
The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using
Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

  • 68.27% of the data lies within one standard deviation of the mean.

  • 95.45% of the data lies within two standard deviations of the mean.

  • 99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution N(113, \ 12),

                \Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

5 0
2 years ago
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