All categories

2 years ago

What are the real solutions to the equation 5x² + 29x + 20 = 0?

Mathematics

1 answer:

Readme [11.4K]2 years ago

3 0

Answer:

$x = -5,\: -\frac{4}{5}$

Step-by-step explanation:

$5x^2 +29x + 20=0$

$\implies 5x^2 +25x +4x+ 20=0$

$\implies 5x(x +5) +4(x+ 5)=0$

$\implies (x +5) (5x+ 4)=0$

$\implies (x +5) = 0,\:(5x+ 4)=0$

$\implies x = -5,\:x=-\frac{4}{5}$

$\implies x = -5,\: -\frac{4}{5}$

You might be interested in

PLEASE HELP!!!!!!!!!

larisa86 [58]

Answer:

maybe 3

Step-by-step explanation:

5 0

2 years ago

3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does

klio [65]

Answer:

Step-by-step explanation:

if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.

5 0

2 years ago

What relation is a function? - plz help -

Eduardwww [97]

Answer:

Step-by-step explanation:

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. ... This is a function since each element from X is related to only one element in Y.

7 0

3 years ago

HELP PLEASE I DON'T UNDERSTAND

liraira [26]

If I counted correctly, the answer would be 52/150. You just need to simplify the fraction. I'll recount soon, and update if it changes.

3 0

3 years ago

Read 2 more answers

A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa

Nadusha1986 [10]

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, the parameters are:

$z = 2.575, n = 2000, \pi = 0.77$

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942$

The 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0

2 years ago