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Brums [2.3K]
1 year ago
9

Sienna is solving the quadratic equation by completing the square.

Mathematics
1 answer:
pantera1 [17]1 year ago
4 0

Answer:

See below

Step-by-step explanation:

3 (x^2 + 3x) = 4

3 ( x + 3/2)^2   = 4 + 27/4  

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Four is no less than the quotient of a number x and 2.1.
g100num [7]
21/x greater than or equal to 4. I think
3 0
3 years ago
37. Construct Arguments Luis and Raul are
Katarina [22]

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

  • <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
  • <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

  • Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

<u>Using the general form</u> :

  • y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

<u>The expression in slope intercept form becomes</u> ;

  • y = -7.5x + 15

<u>If Raul lives 5 miles closer to the beach</u> ;

<u>Time it will take Luis to get to the beach</u> :

  • Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

  • Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :brainly.com/question/18405415

5 0
2 years ago
13. Mis the midpoint of PR, PM = 2x + 5, and MR = 4x – 7. Solve for x and find PR.
enyata [817]

Add 2x + 5 and 4x - 7

Then you isolate the variable or “get rid of” the numbers that re stopping you from getting “x”.

By doing the inverse operation.

If you add ___ you subtract ____ it form itself

If you subtract ___ you add ____ To itself.

So you Cancel out by getting rid of the other numbers.

Same thing with multiplying and dividing.

If you multiply ____ you divide___ but don’t divide “x”

Only the integer.

If you divide _____ you multiply ____ it

8 0
3 years ago
A digital camera for 249.99 at 4% sales tax
spin [16.1K]
First round up 249.99 to 250.00

Then change the 4% into a decimal= 1.04 

Now multiply so the equation is= 250 x 1.04 =

$260 as your answer!

4 0
3 years ago
(7x – 8) + (3X + 8) = 180 x=
GenaCL600 [577]

Step-by-step explanation:

I have answered ur question

3 0
3 years ago
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