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Rzqust [24]
3 years ago
9

Find the value of c that makes the trinomial a perfect square. . x² – 24x7c

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

144

Step-by-step explanation:

The equation to find c is:

(\frac{b}{2} )^{2}

So put -24 into b:

(\frac{-24}{2} )^{2}

Which simplifies to:

144

So if you want to test this:

x^2 - 24x + 144

is

(x-12)^2

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Which expression is equivalent to x³ - x² - 14x + 24?
serg [7]

Answer:

<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3>

<h3>Step-by-step explanation:</h3>

<h3>x³ - x² - 14x + 24</h3>

<h3>1. Use the rational root theorem</h3>

= (x  - 2) \frac{x ^{3}  -x^{2}  - 14x + 24}{x - 2}

<h3>2. \frac{  {x}^{3} - {x}^{2}  - 14x + 24 }{x - 2}  =  {x}^{2}  + x - 12</h3><h3 />

= ( x - 2 )( x² + x - 12 )

<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>

= ( x - 2 )( x - 3 )(x + 4 )

<h3>Solution : </h3>

<h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
3 0
2 years ago
the amount of money sue needs to pay (m) equals $30 to go to an apple orchard and pick apples plus $5 for every bushel of apples
nadya68 [22]

the elegante is aborto 3

5 0
2 years ago
Flying fish use their pectoral fins like airplane wings to glide through the air. Suppose a flying fish reaches a maximum height
GrogVix [38]

The flight is in the shape of a parabola with a vertex 5 feet above the water and  1/2 * 33 = 16.5 feet horizontally from the point of leaving the water

y = a(x - h)^2 + k

where  (h,k)  is the vertex of the  parabola and here it is (5 , 16.5), so we have the function:-

y = a(x - 16.5)^2 + 5

when x = 0 y = 0  so

0 = a(-16.5)^2 + 5

which gives a = -0.018365

So our function for the flight path is

y = -0.018365(x - 16.5)^2 + 5     Answer



7 0
3 years ago
Read 2 more answers
Which triangle is similar to the triangle T
Delicious77 [7]

Answer:

the last one

maybe?

Step-by-step explanation:

3 0
3 years ago
The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).
Alex787 [66]

Answer:

one real

Answer: 1

Step-by-step explanation:

Givens

a = 1

b = -4

c = 4

Discriminate

Discriminate = sqrt(b^2 - 4*a*c)

Discriminate  = sqrt(  (-4)^2 - 4 * (1)(4) )

Discriminate = sqrt ( 16 - 16)

Discriminate = sqrt(0)

Discriminate = 0

That means the 1 real root is -  b / 2a = 4/(2*1) = - -2 = 2

3 0
3 years ago
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