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[tex]f(x) = 2 {x}^{2} + 2x - 24 [/tex]

[tex]f(x) = 2( {x}^{2} + x - 12) [/tex]

[tex]0 = 2( {x}^{2} + x - 12)[/tex]

Divided sides by 2

[tex] {x}^{2} + x - 12 = 0 [/tex]

[tex](x + 4)(x - 3) = 0[/tex]

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[tex]x + 4 = 0[/tex]

[tex]x = - 4[/tex]

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[tex]x - 3 = 0[/tex]

[tex]x = 3[/tex]

Thus the actual roots are -4 and 3.....

And we're done.

♥️♥️♥️♥️♥️

Answer:

x= 3, -4

Step-by-step explanation:

Set  2 x ² +  2 x  −  24  equal to  0 .

   2 x   ² +  2 x  −  24  =  0

Solve for  x .

Factor the left side of the equation.

2 ( x²   +  x  −  12 )  =  0

Factor  

x  ² +  x  − 12  using the AC method.

2 ( x  −  3 ) ( x  +  4 )  =  0

If any individual factor on the left side of the equation is equal to  0 , the entire expression will be equal to  0 .

x − 3 = 0

x + 4 = 0

Add  3  and subtract 4 to both sides of the equation.

x = 3

x = -4

Answer:

Victor can buy 13 vinal records and that would be 234 and with the shipping fee "$12" = $246 so the awnser is 13 records.

Step-by-step explanation:

I put the explanation within the answer.

Answer:

A = LW

Step-by-step explanation:

A/L =W

A =WL

therefore, A = LW

Hope it helped

Answer:

b

Step-by-step explanation:\

when you have a nuber inside a I -7 I and a I -8 you forget about any sign and just take the number so 8 is greater then 7

Answer:

>

Step-by-step explanation:

|-8| = 8

|-7| = 7

8>7

Answer:

y = 88

Step-by-step explanation:

Don't worry about the other stuff, just worry about what's in the triangle that has Y.

53°, 39°, and y°

the sum should be equal to 180 so add 53 adn 39 and subtract it from 180.

180 - (53 + 39) = y

180 - 92 = y

88 = y

Hope this helped! Pls Brainliest my answer! It would help amd mean a lot! ;)

Answer:

204.7 is the price before the discount.

Step-by-step explanation:

proof:   178 x 0.15 = 26.7

            26.7 + 178 = 204.7

Answer:

- construction of a line parallel to line AB through point P

∠TPU is 75°

Step-by-step explanation:

For Plato users

The image may be the result of the construction of a line parallel to line AB through point P

∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°

Answer:

below

Step-by-step explanation:

Got it right

Answer:

For the time interval 0 to 2 the ball is in the air.

Select the options according to this.

Step-by-step explanation:

The equation should be [tex]h(t)=-16t^{2} -30t+124[/tex]

Let's find the x intercepts to answer this question.

To find x intercept where the h(t) is 0.

[tex]-16t^{2} -30t+124=0[/tex]

Solve the equation for t.

Use quadratic formula to solve the equation.

a=-16

b=-30

c=124

[tex]x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}[/tex]

Plug in the values of a, b and c into the formula

[tex]x=\frac{30+/-\sqrt{(-30)^{2}-4(-16)(124) } }{2(-16)}[/tex]

Simplify it

[tex]x=\frac{30+/- \sqrt{900+7936} }{-32}[/tex]

[tex]x=\frac{30+/-\sqrt{8836} }{-32}[/tex]

[tex]x=\frac{30+/-94}{-32}[/tex]

Simplify it to get two values for x

[tex]x=\frac{30+94}{-32} =-3.875\\\\x=\frac{30-94}{-32} =2[/tex]

x can not be negative, here x represents time t.

So, it starts from 0 and remains in the air for 2 seconds.

Answer:

Yo itś C

Step-by-step explanation:

:-)

Answer:

E

Step-by-step explanation:

1.234 is most definitely a rational number!!

Answer:

Blank 1: 2xy(4x-5)=3(4x-5)

Blank 2: (2xy+3)(4x-5)

Step-by-step explanation:

The first step in factoring this polynomial is to find the biggest common factor in both numbers inside the parenthesis, and the second step is to find the biggest common factor of the 2 addents.

The other steps are invalid, either because they don't respect positive or negative signs, or that they just factor it wrong completely.

The only correct answer are:

Blank 1: 2xy(4x-5)=3(4x-5)

Blank 2: (2xy+3)(4x-5)

Answer:

0.0119760479

Step-by-step explanation:

Answer:

the answer is 83.5

Step-by-step explanation:

Answer:

-0.4

Step-by-step explanation:

Good luck!

Answer:

you eould have to start with 4 times 6 welll use algabra

Step-by-step explanation:

Answer:

Billion

Step-by-step explanation:

In 43,628,698,591 the three is in the Trillion spot.

One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.

There are 9 #’s after the 3 which means it is billions :)

Answer:

Step-by-step explanation:

-7x - 6y = 4

-9x + 6y = 60

-16x  = 64

x = -4

-3(-4)+2y=20

12+2y=20

2y=8

y =4

(-4,4)

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

subract 3 from -7

idk, i am pretty sure its -10

Part A: The Numbers of Hours and Money earned are being divided by 6 , to solve you need to multiply and divide the numbers by 6 therefore it's 48, and 11.

Part B: Just like Part A Multiplying 6 but this time 7. |5 x 7 = 35| 6 x 7 = 42| 8 x 7 = 56. (I think lol)

Part C: Collins Makes $5 more when working for 5 hours.

Hope this Helped! <3

Answer:

0.62

Step-by-step explanation:

3.1 divided by 5

.............................

========================================================

Explanation:

Let's say there are 100 students total. You can start with any number you want, but I'm picking a large round number to work with.

3/5 of the total voted, so (3/5)*100 = 0.6*100 = 60 people voted

Of the 60 who voted, 3/4 of those went to the winning candidate.

3/4 of 60 = (3/4)*60 = 0.75*60 = 45

We have 45 people who voted for the winning candidate out of 100 total students, so,

45/100 = (9*5)/(20*5) = 9/20

Meaning that 9/20 of the student body voted for the winning candidate.

--------------------------------

You could also multiply the two given fractions to get the same answer

(3/5)*(3/4) = (3*3)/(5*4) = 9/20

When multiplying, you multiply the numerators together and the denominators together. Reduce the fraction if possible.

Answer:

C, D, E

Step-by-step explanation:

Answer:

Step-by-step explanation:

- 13 = 7+5v

subtract 7 on both sides to cancel out 7

- 20 = 5v

divide both sides by 5 to isolate v

- 4 = v, v is negative because negative divided by a positive will make your answer stay negative

Answer:

Option B: 15 inches

Step-by-step explanation:

p=2w+2l so 12 (2*6) +2x= 42

42-12=30

30/2=15

Answer:

yes

Step-by-step explanation:

18^2 + 24^2 = 30^2

324 + 576 = 900

900 = 900

Answer:

Step-by-step explanation:

Let [tex]g[/tex] denotes number of games that Raleigh can play in the arcade.

Cost of 1 game = $1.25

Cost of [tex]g[/tex] games = [tex]\$1.25g[/tex]

Amount spent in food and drinks = $14.25

Total amount spent by Raleigh = [tex]14.25+1.25g[/tex]

Also, amount with Raleigh = $55

So, the inequality is [tex]14.25+1.25g\leq 55[/tex]

Divide the inequality by 5

[tex]2.85+0.25g\leq 11[/tex][tex]2.85+0.25g\leq 11[/tex]

Answer:

240 times

Step-by-step explanation: