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Anni [7]
3 years ago
7

Solve the quadratic equation given. 6x2 - 24 = 0

Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

{6x}^{2}  - 24 = 0 \\  =  > 6( {x}^{2}  - 4) = 0 \\  =  > 6 {((x)}^{2}  -  {(2)}^{2} ) = 0 \\  =  > 6(x - 2)(x + 2) = 0 \\  =  > 6(x - 2) = 0 \:  \:  \: or \:  \: 6(x + 2) = 0 \\  =  > 6x - 12 = 0 \:  \:  \: or \:  \:  \: 6x + 12 = 0 \\  =  > x = 2 \:  \:  \: or \:  \:  \: x =  - 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

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12) 251 students went on a field trip. Six
lbvjy [14]

Answer:

38 students

Step-by-step explanation:

251 students minus the students traveled in cars =228 divide that by six buses and your outcome will be 38 students

3 0
3 years ago
A tour director collected $258 for 13 tour packages tour packages a cost $18 into a package requires $22 how many of each tour p
Lena [83]

Answer:


Step-by-step explanation:

X+Y = 13

 

$18 + $22 = $258

OR

18X+22Y=258

 

18X + 22(13 - X) = 258

 

18X + 286 - 22X  = 258

 

286 - 4X  = 258

 

-4X= 258 - 286

 

-4X = -28

 

X= 7

Y=6

 7 of the X tour  packages & 6 of the Y tour  packages

4 0
3 years ago
72 apartments on 12 floors = apartments on 6 floors
Andreyy89

Step-by-step explanation:

36 apartamentos en total

8 0
3 years ago
ONLY ANSWER IF YOU KNOW THE ANSWER OR IF YOU ARE NIHHA :)) thanks
pishuonlain [190]

Answer:

8

Step-by-step explanation:

Let's just call the number x for simplicity.

So, 7x is 8 less than x².

Putting this into an equation would look like this

x² - 8 = 7x

It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.

x² - 7x -8 = 0

Now, we can proceed. To factor we first need to find the factors of -8.

The factors of -8 are

-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.

We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.

So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.

( x + 1 ) ( x - 8 )

To find the solutions we will have to set them to 0 and solve each of these binomials individually.

x - 1 = 0

x = 1

So, one of the solutions is 1. It's not the one we want, since it's positive.

x - 8 = 0

x = 8

This is the one we want since it is positive.

8 0
4 years ago
Eli sells refrigerators.his base salary is $250 per week, and his commission is $50 for each refrigerators that he sells. He nee
marta [7]

Answer: p = 75 + 250

Equation of the situation, in slope-intercept form is given as .

Where,

b = y-intercept

m = slope

n = number of computers sold

p = total cost

All we need to find is the value of m and b.

Using two pairs from the table of values, (4, 550) and (6, 700):

Substitute n = 4, p = 550, and m = 75 in , and find the value of b.

Subtract 300 from each side

b = 250

Substitute m = 75, and b = 250 in

✅Equation that represents the situation would be:

8 0
3 years ago
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