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kiruha [24]
3 years ago
6

Please factorize this for me

Mathematics
2 answers:
madam [21]3 years ago
8 0

Answer


3b(3 - 4b)


Explanation

9b - 12b²

To factorize, you factor out what is common in both terms.

First, b is common in both terms. factor it out

9b - 12b² = b(9 - 12b)


3 is also common. factoring out we have,

9b - 12b² = b(9 - 12b)

= 3b(3 - 4b)

There no been any other factor, the answer is 3b(3 - 4b)

irinina [24]3 years ago
5 0
9b - 12b² factorised would be 3b(3 - 4b).

You can find this as you must first find a common factor between 9b and -12b², which would be 3b. We can then take this out of the bracket and divide both terms by 3b to get the final answer, which leaves us with 3b(3 - 4b).

I hope this helps!
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Let ​f(x)=x^2+6x−16​.<br> Enter the x-intercepts of the quadratic function in the boxes.
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\red{\leadsto}\:\textsf{}\sf f(x)= x^2+6x−16

\underline{\underline{\large\bf{To Find:-}}}

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\\

\underline{\underline{\large\bf{Solution:-}}}\\

\longrightarrowx- intercept is the point where graph of given function touches the x-axis,f(x) becomes 0 at the point where graph of given function touches the x-axis. Therefore, we would to solve x^2+6x−16=0 and find its root.

\begin{gathered}\\\implies\quad \sf x^2+6x−16=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf x^2+8x-2x −16=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf x(x+8)-2(x+8)=0 \\\end{gathered}

\begin{gathered}\\\implies\quad \sf (x-2)(x+8)=0\\\end{gathered}

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\leadstox-intercepts of the given quadratic function are 2 and -8 .

7 0
3 years ago
Find the degree of the polynomial<br> 2x^4y^2+9x^2y^5-3x^4y^4
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Answer:

the polynomial has degree 8

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term  2\,x^4\,y^2  contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6

2) term  9\,x^2\,y^5  contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7

3) term  -3\,x^4\,y^4  contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8

This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.

8 0
3 years ago
Read 2 more answers
How many 5 cents can u get from $1.25?​
Zarrin [17]

Answer:

25

Step-by-step explanation:

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A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 99% c
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Answer:

The minimum sample size required to create the specified confidence interval is 2229.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What is the minimum sample size required to create the specified confidence interval

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0.06 = 2.575*\frac{1.1}{\sqrt{n}}

0.06\sqrt{n} = 2.575*1.1

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Rounding up

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Answer 20 are left

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