All categories

3 years ago

Solve each equation by factoring. 5a^2-2a-47=0

Mathematics

1 answer:

sergey [27]3 years ago

4 0

Answer:

a = -2.872 and 3.272

Step-by-step explanation:

Given the equation 5a^2-2a-47=0

Using the general formula;

a = 2±√2²-4(5)(-47)/2(5)

a = 2±√4+940/10

a = 2±√944/10

a = 2±30.72/10

a = 2-30.72/10 and 2+30.72/10

a = -28.72/10 and 32.72/10

a = -2.872 and 3.272

You might be interested in

Minnie has 16 old posters and 25 new posters. Amanda has 25 old posters and 16 new posters. Who has more posters? Explain

Orlov [11]

Answer:

Minnie and Amanda have the same amount of posters.

Step-by-step explanation:

Add 16 and 25 posters and Minnie will have a total of 41 posters.

Add 25 and 16 posters and Amanda will have a total of 41 posters.

Each have the same amount of posters regardless if they are new or old.

3 0

3 years ago

Read 2 more answers

Two competing headache remedies claim to give fast-acting relief. An experiment was performed to compare the mean lengths of tim

DaniilM [7]

Answer:

$t = 0.875$

Step-by-step explanation:

Given

Brand A Brand B

$n_ 1= 12$ $n_2 = 12$

$\bar x_1 = 21.8$ $\bar x_2 = 18.9$

$\sigma_1 = 8.7$ $\sigma_2 = 7.5$

Required

Determine the test statistic (t)

This is calculated as:

$t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$

Calculate s using:

$s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}$

The equation becomes:

$s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}$

$s = \sqrt{\frac{1451.34}{22}}$

$s = \sqrt{65.97}$

$s = 8.12$

So:

$t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}$

$t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}$

$t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}$

$t = \frac{21.8 - 18.9}{8.12 * 0.408}}$

$t = \frac{2.9}{3.31296}}$

$t = 0.875$

3 0

3 years ago

(giving brainiest)

Vikentia [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can someone help me plz?

Nikitich [7]

Answer:

275 non spectators

Step-by-step explanation:

1. Subtract

42,500 - 31,750 - 10,475 =

275

2. Get answer

275 non-spectators

7 0

3 years ago

X2 - 1 In Out 5 9 -3 -7 7 -20

DerKrebs [107]

Answer:

|4| = |7|

this is the answer of this question

4 0

3 years ago