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2 years ago

What value in place of the question mark makes the polynomial below a perfect square trinomial x^2+24x+?

Mathematics

2 answers:

Ray Of Light [21]2 years ago

8 0

Answer:

Answer D

Step-by-step explanation:

Take half of the coefficient of x: Take half of +24, obtaining 12. Now square this 12, obtaining 144. This is the desired value. Answer D is correct.

kykrilka [37]2 years ago

7 0

Answer:

Step-by-step explanation:

Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.

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ryzh [129]

Answer:

Step-by-step explanation:

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2 years ago

What are the solutions to. x^2 - x - 20 = 0

nignag [31]

Step-by-step explanation:

x² - x - 20 = 0

x² - (5-4) x - 20 = 0 

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x ( x - 5) + 4 ( x - 5) = 0

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2 years ago

Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?

Dmitriy789 [7]

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

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

Factor

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-3*-1 = 3

-3+-1 = -4

f(x) = -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3 0 = x-1

x=3 x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

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The vertex is (2,1)

4 0

2 years ago

If a car drove 180 miles in 3 hours and a truck drove 150 miles in 2 hours, what is the speed (in miles per hour) of the faster

grigory [225]

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

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2 years ago

Colby and jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the num

Oksanka [162]

Answer:

3) y = 50 * 2¹²ˣ

2) y = 80 * 2⁸ˣ

Step-by-step explanation:

1 day = 24 hours

Number of 2-hour periods in 1 day = 24 ÷ 2 = 12

Number of 3-hour periods in 1 day = 24 ÷ 3 = 8

Colby's experiment:

y = 50 * 2¹²ˣ

Jaquan's experiment:

y = 80 * 2⁸ˣ

5 0

2 years ago