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White raven [17]
3 years ago
10

Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?

Mathematics
1 answer:
Valentin [98]3 years ago
7 0
Factoring by grouping usually pairs up the first 2 sets of expressions with the second 2 sets.  Ours looks like this, then:  (x^3-9x^2)+(5x-45)=0.  If we factor out the common x-squared in the first set of parenthesis, along with factoring out the common 5 in the second set, we get this:  x^2(x-9)+5(x-9).  Now the common expression that can be factored out is the (x-9).  When we do that, here's what it looks like:  (x-9)(x^2+5).  I'm not sure how far you are going with this.  You could set each of those equal to 0 and solve for x in each case.  The first one is easy.  If x - 9 = 0, then x = 9.  The second one involves the imaginary i since x^2 = -5.  In that case,  x=i \sqrt{5},-i \sqrt{5}.  Hopefully, in what I have given you, you can find what you're looking for.
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8 0
3 years ago
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zmey [24]

Answer:

Part 1) The inequality that represent this situation is 5(x+7)^{2} \geq1,050  or  5x^{2}+70x+245 \geq1,050

Part 2) Yes, 8 inches is a reasonable width for his tablet

Step-by-step explanation:

Part 1)

Let

L -----> the length of the screen television

W ----> the width of the screen television

x ---->  the width of Andrew's tablet

we know that

L=5W ------> equation A

W=x+7 ----> equation B

The area of the television is

A=LW -----> equation C

Substitute equation A and equation B in equation C

A=5(x+7)(x+7)

A=5(x+7)^{2}

5(x+7)^{2} \geq1,050

5(x^{2}+14x+49) \geq1,050

5x^{2}+70x+245 \geq1,050 ------> inequality that represent this situation

Part 2) Determine if 8 inches is a reasonable width for his tablet

For x=8 in

Substitute in the inequality

5(8+7)^{2} \geq1,050

5(15)^{2} \geq1,050

1,125 \geq1,050 -----> is true

therefore

Yes, 8 inches is a reasonable width for his tablet

3 0
3 years ago
Hello please help thanks
ikadub [295]

Answer:

most likely the last choice

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Will mark brainllest
telo118 [61]

a) The halfway number is \frac{-4.5}{10}.

b) The ascending order is \frac{-1}{2},\frac{-4.5}{10}and \frac{-2}{5}.

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

a)Halfway number is otherwise Middle number.

The halfway number of two numbers = \frac{sum of two numbers}{2}.

The halfway for \frac{-2}{5} and \frac{-2}{5} = \frac{\frac{-2}{5}+ (\frac{-1}{2})}{2}.

=\frac{-2}{5}+ (\frac{-1}{2}).

= \frac{-4-5}{10}.

=\frac{-9}{10}.

∴Halfway =\frac{\frac{-9}{10} }{2}.

=\frac{-4.5}{10}

The halfway for \frac{-2}{5} and \frac{-1}{2}= \frac{-4.5}{10}.

b) The ascending order is \frac{-1}{2},\frac{-4.5}{10}and \frac{-2}{5}.

7 0
3 years ago
HURRYY!!! Identify the zeros of f(x) = (x − 3)(x + 9)(4x − 3).
tiny-mole [99]

Answer:

The value of x is -9, 3/4 and 3.

Step-by-step explanation:

In order to find the value of x, tou have to let f(x) equals to 0 :

Let f(x) = 0,

(x-3)(x+9)(4x-3) = 0

x - 3 = 0

x = 3

x + 9 = 0

x = -9

4x - 3 = 0

4x = 3

x = 3/4

7 0
3 years ago
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