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Trava [24]
4 years ago
6

How do I simplify the answer of (y+3)(y-6)?

Mathematics
2 answers:
miskamm [114]4 years ago
8 0
First of all you use the Foil method (First,Outer,Inner,Last) to simplify it

(y+3)(y-6)

First what you want to do is multiply y by 3 and y itself
To get 3y and y^2

Second, you multiply 3 by y and -6
To get 3y and -18

Finally you combine them both to get

y^2+6y-18
vlada-n [284]4 years ago
4 0
This is actually a "product," not an "answer."

Nothing to simplify here.  Instead, you are to multiply these two "binomials" together.  Perhaps you've heard of the "FOIL method."  If so, use it here.

y^2 + 3y - 6y - 18.  Combining the middle terms, we get y^2 - 3y - 18.  This is the simplest form of the product of <span>(y+3)(y-6).  Done.</span>
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The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(
Inessa [10]

Answer:

15x^2 - 9x - 42

Step-by-step explanation:

(3x+6)(5x+7)

15x^2 +21x - 30x -42

15x^2 - 9x - 42

7 0
3 years ago
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

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 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

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.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

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

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
Which of the following inequalities matches the graph?
Mars2501 [29]

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the related line is a vertical line parallel to the y-axis at a distance of 7 units from the left of y-axis. It intersect the x-axis at x=-7.

So, the related equation for boundary line is

x=-7

The shaded region is on the left side of the boundary line. it means, the value of x which are less than -7 are included in the solution set.

The boundary line is a solid line. It means -7 is also included in the solution set.

The value of x is less than or equal to -7. So, the inequality for shaded region is

x\leq -7

Therefore, the correct option is B.

4 0
3 years ago
What is the sum of the geometric series below?
o-na [289]
Answer is  <span>b. 121/27

</span><span>3+1+1/3+1/9+1/27
= </span><span>3+1+9/27+3/27+1/27
= 4 13/27
= 121/27</span>
4 0
3 years ago
Read 2 more answers
You have 12 CDs, but only have time to listen to two of them. How many combinations of CDs do you have to choose from?
nata0808 [166]
Total number of CDs = 12
Number of CDs that can be selected at once = 2

Selecting 2 CDs from 12 means combination of 12 objects taken 2 at a time. This can be calculated by 12C2.

12C2 = \frac{12!}{2!*(12-2)!} \\  \\ &#10;12C2= \frac{12!}{2!*10!}  \\  \\ &#10;12C2= \frac{12*11}{2}   \\  \\ &#10;12C2=66

This means, we have 66 possible combinations to choose from 
7 0
3 years ago
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