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victus00 [196]
4 years ago
11

Write the quadratic equation in factored form. Be sure to write the entire equation.

Mathematics
1 answer:
leonid [27]4 years ago
4 0

Glad they didn't have online homework when I was in school; what a pain to type this way.


x^2 - 5x - 24 = 0


We need two numbers that multiply to -24 and add to -5; it doesn't take too long to come up with -8 and 3.


(x-8)(x+3) = 0


That's the answer.


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The camp is divided into2 groups. Thereare 14 kids in Camp A and 21 kids in Camp B. If you divided both camps into groups of equ
frez [133]

Answer: 7 students

Step-by-step explanation:

From the question, we are informed that there a camp is divided into2 groups and that there are 14 kids in Camp A and 21 kids in Camp B.

If the camps are divided into groups of equal size, there will be 7 students in a group. This will be gotten from :

Camp A = 14/2 = 7 students

Camp B = 21/3 = 7 students

8 0
3 years ago
If a ladder is 5.5 m long and it is placed 3 m from the wall, solve and show the work when you use the Pythagorean Theorem to fi
natali 33 [55]

Answer:

4.609 meters

Step-by-step explanation:

The hypotenuse is the ladder because it is the slanted side. 3m is one of the other side lengths

A^2 + B^2 = C^2

3^2 + B^2 = 5.5^2

9 + B^2 = 30.25

30.25 - 9= B^2

21.25= B^2

4.609=B

4 0
3 years ago
Pleaseeeeeee help mee
BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given  

                cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

                  cos( 3x - \frac{\pi }{3} )  = cos (\frac{\pi }{6} )

                      3x - \frac{\pi }{3}  =  \frac{\pi }{6}

                      3x - \frac{\pi }{3  } + \frac{\pi }{3}   =  \frac{\pi }{6} + \frac{\pi }{3}

                      3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}

                     x = \frac{\pi }{6}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

put  x = \frac{\pi }{6}

    cos( 3(\frac{\pi }{6})  - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

    cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} =  \frac{\sqrt{3} }{2}

Both are equal

∴The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

                     

4 0
3 years ago
Michelle bought a new table that cost $350. The sales tax is 7.5%, how much will the tax increase the cost of the table? *
MissTica

Answer:

$26.25

Step-by-step explanation:

multiply 350 by 0.075

3 0
3 years ago
Determine the number of real solutions each quadratic equation has.
barxatty [35]

Answer: no , two , no and one

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
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