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Charra [1.4K]
2 years ago
10

What are the solutions of the quadratic equation?

Mathematics
2 answers:
Cloud [144]2 years ago
8 0
We have x^2 + 2 · x · (11/2) + (11/2)^2  = - 24 + (11/2)^2;
Then, ( x + 11/2 )^2 = -24 + 121/4;
( x + 11/2 )^2 + 96/4 - 121/4 = 0;
( x + 11/2 )^2 - 25 / 4 = 0;
( x + 11/2 )^2 - (5/2)^2 = 0;
( x + 11/2 - 5/2)·( x + 11/2 + 5/2 ) = 0;
( x + 6/2 )·( x + 16/2 ) = 0;
( x + 3 )· ( x + 8 ) = 0;
x = - 3 or x = -8;
The first choice is the correct answer.
sineoko [7]2 years ago
3 0
Original equation:  
x^2 + 11x = -24 
 Move everything to the left hand side of the equation. To do this, add 24 to each side.
 x^2 + 11x + 24 = 0 
 Now figure out a combination of two numbers that when added equals 11 but when multiplied equals 24. The answer is 8 and 3. 
 (x + 8)(x + 3) = 0 
 You can check the result by doing FOIL.
 There are two values for which the equation works: x = -8 and x = -3.
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Which function represents a proportional relationship? A) f(x) = 3x 4 B) f(x) = 3 4x C) f(x) = 3x 4 + 3 4 D) f(x) = 3 4x + 3 4
densk [106]

Answer: OPTION B

Step-by-step explanation:

The equation of a line that passes through the origin is the following:

y=mx

Where "m" is the slope of the line.

By definition, Proportional relationships have the following form:

y=kx

Where "k" is the Constant of proportionality.

Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.

Therefore, based on the explained above, you can conclude that the option that shows a function  that represents a Proportional relationship is the Option B.

Then, this is:

f(x)=\frac{3}{4}x

6 0
3 years ago
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Can someone explain to me how to do this? I just don't get it.
Maksim231197 [3]

Answer:

x=130

Step-by-step explanation:

triangle=180

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7 0
2 years ago
Given that it was less than 80º on a given day, what is the probability that it also rained that day? 0.3 0.35 0.65 0.7
eimsori [14]

The probability that it also rained that day is to be considered as the 0.30 and the same is to be considered.

<h3>What is probability?</h3>

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

The probability that the temperature is lower than 80°F and it rained can be measured by determining the number at the intersection of a temperature that less than 80°F and rain.

So, This number is 0.30.

Hence, we can say that it was less than 80°F on a given day, the probability that it also rained that day is 0.30.

To learn more about the probability from the given link:

brainly.com/question/18638636

The above question is incomplete.

The conditional relative frequency table was generated using data that compared the outside temperature each day to whether it rained that day. A 4-column table with 3 rows titled weather. The first column has no label with entries 80 degrees F, less than 80 degrees F, total. The second column is labeled rain with entries 0.35, 0.3, nearly equal to 0.33. The third column is labeled no rain with entries 0.65, 0.7, nearly equal to 0.67. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Given that it was less than 80 degrees F on a given day, what is the probability that it also rained that day?

#SPJ4

7 0
1 year ago
The volume of a sphere is 36π in³. What is the radius of the sphere?
Inessa05 [86]
36pi = 4/3 * pi * r^3
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3 years ago
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BRAINLIEST IF CORRECT PLEASE USE WORK!
ladessa [460]

Answer:


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