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2 years ago

Factor the polynomial using the pattern x^2-15x+54

2 answers:

6 0

It would be (x-6)(x-9)

We know that X^2 factors out to x times x

54 could factor to 27*2, 54*1, 6*9, 3*18. You would need to find two numbers that would multiple to equal 54 and add up to equal -15. These two numbers would be -6 and -9. So the answer is (x-6) (x-9)

balandron [24]2 years ago

3 0

Answer:

x= 6 x= 9, or (x-6)(x-9)

Step-by-step explanation:

Find factors of 54.

1x54

2x27....so on

6x9

Find out which factors add or subtract to 15, knowing that 54 is positive, the two factors have to be either both negative or positive.

Then look at the middle number, -15. With it being negative, both factors will be negative because it is negative.

So, -6+-9=-15.

Next x^2 is actually x*x, so when you factor, one single x will go with one factor, and then you will pair the other two.

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Graph the set of points. which model is most appropriate for the set? (-6, -1)(-3, 2)(-1,4)(2,7)

lianna [129]

For this case, the first thing to do is to graph the following ordered pairs:
(-6, -1)
(-3, 2)
(-1,4)
(2,7)
We observe that the graph is a linear function with the following equation:
y = x + 5
Note: see attached image.
Answer:
The function that best represents the ordered pairs is:
y = x + 5

5 0

3 years ago

Assume you have such a watch. if a minimum of 18.0% of the original tritium is needed to read the dial in dark places, for how m

laila [671]

Given that the half life of 3H is 12.3 years.

The amount of substance left of a radioactive substance with half life of $t_{ \frac{1}{2} }$ after t years is given by

$N(t)=N_0\left(\frac{1}{2} \right)^{ \frac{t}{t_{\frac{1}{2}} }$

Therefore, the number of years it will take for 18% of the original tritinum to remain is given by

$18 \% = 100 \% \left(\frac{1}{2} \right)^{ \frac{t}{12.3}} \\ \\ \Rightarrow\left(\frac{1}{2} \right)^{ \frac{t}{12.3}} =0.18 \\ \\ \Rightarrow\frac{t}{12.3}\ln\left(\frac{1}{2} \right)=\ln0.18 \\ \\ \Rightarrow\frac{t}{12.3}= \frac{\ln0.18}{\ln\left(\frac{1}{2} \right)} = \frac{-1.715}{-0.6931} =2.474\\ \\ \Rightarrow t=2.474(12.3)=30.4$

Therefore, the number of years that the time could be read at night is 30.4 years.

5 0

3 years ago

What is the solution to the inequality below? square root x arrow pointing left 9

storchak [24]

If x is less than 81, then we get a solution, but x should also be larger than or equal to zero since radicands must be nonnegative, therefore, x<81.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

3 years ago

When performing a horizontal analysis on an income statement, the percentage change in any individual item is calculated by div

oksian1 [2.3K]

Answer: C. the base period amount.

Explanation: While implementing a horizontal analysis on a given income statement, we compute a percentage change in any individual item by dividing the dollar amount of change from base to current time period with the base period amount.

i.e. % Change in Individual item = $\frac{Current\ Dollar\ - Base\ Dollar }{Base \ period \ amount}$

Therefore, the correct option in this case is (c)

4 0

2 years ago

consider the quadratic functio. f(x)=x2-5x+6 what are the values of the coefficients and constant in the function

eduard

Answer:

1and5 are coefficients6is a constant

Step-by-step explanation:

6 0

2 years ago