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Charra [1.4K]
3 years ago
10

What are the solutions of the quadratic equation?

Mathematics
2 answers:
Cloud [144]3 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]3 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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$3701.45. I hope this helps :)

Step-by-step explanation:

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3 years ago
3. Jeff Ruiz wants to purchase chocolates. The price of a 2-ounce box is $1.10, a 16-ounce box is $8.98, and a
bekas [8.4K]

Jeff should purchase 25 , 2 ounce box and it will cost him $27.5 .

<h3>What is an ounce ?</h3>

Ounce is defined as 1/16 part of a pound.

It is given that

price of a 2-ounce box is $1.10,

a 16-ounce box is $8.98

a 32-ounce box is $17.98.

As Jeff wants to purchase total 48 ounce chocolates , the box which is more cheaper has to be determined  

The price of 1 ounce in a 2 ounce box is $1.1 /2 = $ 0.55

The price of 1 ounce in a 16 ounce box is $8.98 /16 = $ 0.56

The price of 1 ounce in a 32 ounce box is $17.98 /32 = $ 0.56

Therefore Jeff should purchase 25 , 2 ounce box and it will cost him $27.5 .

To know more about Ounce

brainly.com/question/26950819

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5 0
2 years ago
50.For the direct variation such that when y = 2 then x = 3, find the constant of variation ( k ) and then find the value of y w
tamaranim1 [39]

Step-by-step explanation:

Since it's a direct variation

y = kx

where k is the constant of proportionality

To find the value of y when x = –0.5 we must first find the relationship between the variables

When

x = 3

y = 2

2 = 3k

Divide both sides by 3

k =  \frac{3}{2}

So the formula for the variation is

<h3>y =  \frac{3}{2} x</h3>

When x = - 0.5 or - 1/2

y =  \frac{3}{2} ( -  \frac{1}{2} )

We have the final answer as

<h2>y =  -  \frac{3}{4}</h2>

Hope this helps you

3 0
3 years ago
Determining the Type of Function<br> What type of function is represented in the table?
Norma-Jean [14]

Answer:

quadratic

Step-by-step explanation:

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3 years ago
PLEASE HELP!!<br><br><br>Find the area of the following triangle enter the exact answer as a decimal
Marta_Voda [28]

Answer:

75.06239187

Step-by-step explanation:

1/2bh= Area of a Triangle

6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.

36+b^2=72.25

b^2=36.25

b=6.02

6.02+19= base

25.02

Now area

1/2bh

1/2 (25.02*6)

25.02*6= 150.1247

150.1247/2= 75.06239187 is Area

The above decimals before area are rounded.

6 0
3 years ago
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