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oksian1 [2.3K]
3 years ago
9

Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor t

he trinomial and simplify: (x + )² =
Mathematics
2 answers:
ICE Princess25 [194]3 years ago
8 0

Answer:

The roots of the polynomial are;

3 + 2i

and 3-2i

Step-by-step explanation:

Here, we want to solve the given polynomial using the completing the square method

We start by dividing through by 8

This will give;

x^2 - 6x = -13

To complete the square, we simply divide the coefficient of x by 2 and square it

We have this as -6/2 = -3

square it;; = (-3)^2 = 9

Add it to both sides

x^2 - 6x + 9 = -13 + 9

x^2 - 6x + 9 = -4

(x-3)^2 = -4

Find the square root of both sides

x-3 = ±2i

x = 3 + 2i

or x = 3-2i

juin [17]3 years ago
8 0

Answer:

Here's just the answers without all the work for easier reading. Answers are bolded.

Step-by-step explanation:

First problem answer: x2 + -6 x = -13

Second problem answer: x2 – 6x + 9 = –13 + 9

Third problem answer: (x + -3)² = -4

Fourth problem answer: 3 + 2i

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Find the missing number in the factor tree<br><br> for 20 points<br><br> i hope you will help
ELEN [110]

Answer:

see below

Step-by-step explanation:

80 =     4*    20

     2*2      2 * 10

                       2 *5

We are breaking the numbers into primes

2*2*2*2*5

3 0
2 years ago
The aspect ratio of a TV screen is a ratio of the screen's width to the screen's height. Suppose that Noel recycles an old TV sc
Paul [167]

If the diagonal is 32 than you will us

A^2 + b^2 = c^2

We will use the aspect ratio to find a common variable

4A = 3B

a = (3/4)B now plug it in

((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)

Now solve for B

B turns out to be 25.577 inches

Plug B in

A = (3/4)(25.577)

A = 19.18

Now add up ther perimeter A + A + B + B

19.18 + 19.18 + 25.577 + 25.577

89.6 inches


8 0
3 years ago
Please answer this question <br><br> 2x^2 = 3x
Anika [276]

Answer:

x = 1.5

Step-by-step explanation:

2x^2 = 3x

divide whole eqn by x

2x = 3

x= 3/2 =1.5

3 0
3 years ago
Read 2 more answers
Y = 5-3x, Darw the graph of the function. Use the find the value of y when x=4, and when x = 5​
stellarik [79]

Answer:

The line passes through (4, -7) and (5, -10).

Step-by-step explanation:

When x = 4, y = 5 - 3(4), or 5 - 12, or -7.  Thus the point (4, -7) lies on the graph.  Similarly y = 5 - 3(5) = -10 when x  = 5.  Thus, the line also goes through (5, -10).  Plot these two points and draw a line through them.  Doing this will result in the desired graph.

6 0
2 years ago
What is the range of the function f(x) = 3x2 + 6x – 8?
timama [110]

Answer:

Range is {y | y ≥ –11}


Step-by-step explanation:

This is quadratic equation.

<em>A quadratic equation's range can be found if we find the vertex.</em>

For quadratic equations that have a positive number in front of  x^{2} , it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>


The formula for vertex of a parabola is:

Vertex =  (-\frac{b}{2a}, f(-\frac{b}{2a})

Where,

  • a is the coefficient of x^{2}
  • b is the coefficient of x

From our equation given, a=3  and  b=6

Now, x coordinate of vertex is  x=-\frac{b}{2a}\\x=-\frac{6}{(2)(3)}\\x=-\frac{6}{6}\\x=-1

y coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the x value [ x=-1 ] into the equation. So we have:

3(-1)^{2}+6(-1)-8\\=-11


Hence, the range would be all numbers greater than or equal to -11  

Third answer choice is the right one.


6 0
3 years ago
Read 2 more answers
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