The cast of renting a DVD is 1.50 per day(d). Which function represents the cost of renting the DVD?

[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:

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:

[tex]x = 4y[/tex]

Step-by-step explanation:

Given

[tex]y = kx[/tex]

See attachment for options.

Required

Determine which of the options answers the question

Analyzing the option one after the other:

[tex]\frac{x}{y} = 4[/tex]

Multiply through by y

[tex]y * \frac{x}{y} = 4 * y[/tex]

[tex]x = 4y[/tex]

Divide through by 4

[tex]\frac{x}{4} = \frac{4y}{4}[/tex]

[tex]\frac{x}{4} = y[/tex]

This can be rewritten as

[tex]y = \frac{x}{4}[/tex]

[tex]y = \frac{1}{4} x[/tex]

By comparison with [tex]y = kx[/tex]

we have:

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]k = \frac{1}{4}[/tex]

Hence: this answers the question.

Answer:

About $137.79

Step-by-step explanation:

Hope this helps!

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:

15 cards per page

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

21/3 = 7

Answer:

240 times

Step-by-step explanation:

Answer:

884

Step-by-step explanation:

Answer:

884

Step-by-step explanation:

solve for 6.4x104 and add to 2.1x104

Answer:

its -6

hopefully this will help you

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:

2/9, 2/3, 8/11, 5/6.

Answer:

3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer: x = 31

Step-by-step explanation: 13+18=31, so 31-18=13.

Answer:

x = 31

Step-by-step explanation:

-Get x alone

13 = x -  18

-add 18 to each side

x=31

Answer:

y = (-1/6)x - 1

Step-by-step explanation:

y = 6x - 2

find the reciprocal of 6 which is -1/6 then find the y-intercept (b)

y = (-1/6)x + b

-2 = (-1/6)(6) + b

-2 = -1 + b

+1   +1

-1 = b

Answer:

should be nigitive

Step-by-step explanation:

Y=mx+b

M- represents the slope and its constant

B- represents the y-intersect  

Answer:

No solution

Step-by-step explanation:

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

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:

3.06

Step-by-step explanation:

12.24/4

Answer:

4.08

Step-by-step explanation:

Answer:

The statements that must be true are;

A. m∠1 = m∠5

B. m∠2 = m∠4

C. m∠3 + m∠4 + m∠5 = 180°

Step-by-step explanation:

The given parameters are;

The fact Katherine wants to prove = The sum of the measures of the interior angles of a triangle  = 180°

The line Katherine drew passing through the vertex = Parallel to the opposite side of the triangle

Therefore we have;

1) m∠1 and m∠5 are corresponding angles and m∠1 = m∠5 for corresponding angles of parallel lines having the same transversal

2) m∠2 and m∠4 are alternate interior angles and m∠2 = m∠4 for alternate interior angles of parallel lines having the same transversal

3) m∠3 and m∠4 and m∠5 are angles on a straight line and angles on a straight line are supplementary

∴ m∠3 + m∠4 + m∠5 = 180°, by the definition of supplementary angles

Therefore, m∠3 + m∠2 + m∠1 = 180° (substitution property)

m∠3 + m∠2 + m∠1 = Sum of interior angles of a triangle = 180°.

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:

x=4

Step-by-step explanation: take (possative)3x and add it to -5x. -2x+9=1. subtract 9 from 1. -2x=-8. devide bolth sides by -2. a negative devided by  a negative makes a possative soit equallls x=4

Answer: Domain is [1,3], Range is [304,391]

Step-by-step explanation:

Domain is just the x values the table has from lowest to highest. Period is the x values so domain is [1,3]

Range is the y values from lowest to highest the lowest y is 304 and highest is 391, so you use those two numbers to get [304,391]

Answer: rational

Step-by-step explanation:

0.33\overline{3} is a rational number because it is the result we get when we divide 1 by 3, or equivalently, because it is a solution to 1=3x.

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)

Answer:

Step-by-step explanation:

Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So your answer would be 10.

I hope that helps

Answer:

Step-by-step explanation:Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So, your answer would be 10 I would have done it this way too not trying to copy(:

Answer:

E

Step-by-step explanation:

1.234 is most definitely a rational number!!

Answer:

A. ??

Step-by-step explanation:

have a nice day and hope it helps

Answer:

b=7

Step-by-step explanation:

7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.