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1 year ago

PLEASE HELP!!! 3.05

Mathematics

2 answers:

Readme [11.4K]1 year ago

6 0

Answer:

I just did this assignment, so I will add my notes for you, to help others as well!

Step-by-step explanation:

Hope this helps!

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Brilliant_brown [7]1 year ago

3 0

The new polynomial identity is 2(x² + 2xy + y²)

Given,

The polynomial identities

Column A Column B

(x − y) (x2 + 2xy + y2)

(x + y) (x2 − 2xy + y2)

(y + x) (ax + b)

(y − x) (cy + d)

We have to square an identity from column A and add it with any one identity from column B.

So,

Lets take (x + y)

(x + y)² = x² + 2xy + y²

We can add this identity with x² + 2xy + y² in column B.

That is,

x² + 2xy + y² + x² + 2xy + y²

= 2x² + 4xy +2 y²

= 2(x² + 2xy + y²)

That is,

The new polynomial identity is 2(x² + 2xy + y²)

Learn more about polynomial identity here;

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99 is 72% of what number?

icang [17]

I’m not really sure but I think the answer is 137.50.

8 0

3 years ago

Read 2 more answers

Given the function graphed below, what is the average rate of change between f(3) and f(7)?

Shkiper50 [21]

Answer: choice D) 20

-------------------------------

Explanation:

Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.

Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.

We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.

To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope

In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20

The slope of the line is 20, so therefore, the average rate of change is 20.

6 0

3 years ago

What are the coefficients of the like terms in this expression? 18x - 9xy + 12x

likoan [24]

Steps to my answer:

18x-9xy+12x

Add similar elements together, your answer comes out to be:
=30x-9xy
I hope this is what you were looking for! :)

6 0

3 years ago

Read 2 more answers

In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross th

KatRina [158]

Answer:

( $\frac{3}{5}$ b, 0 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Here m = - $\frac{5}{3}$ and b = b , thus

y= - $\frac{5}{3}$ x + b ← equation of line

The line crosses the x- axis when y = 0, substitute y = 0 into equation and solve for x, that is

- $\frac{5}{3}$ x + b = 0 ( multiply through by 3 to clear the fraction )

- 5x + 3b = 0 ( subtract 3b from both sides )

- 5x = - 3b ( divide both sides by - 5 )

x = $\frac{3}{5}$ b , thus

x- intercept = ( $\frac{3}{5}$ b, 0 )

6 0

3 years ago

Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and vis

docker41 [41]

Answer:

Explained below.

Step-by-step explanation:

In this case we need to determine if there has been an increase in the proportion of rooms occupied over the one-year period.

(a)

The hypothesis can be defined as follows:

H₀: The proportion of rooms occupied over the one-year period has not increased, i.e. p₁ - p₂ ≤ 0.

Hₐ: The proportion of rooms occupied over the one-year period has increased, i.e. p₁ - p₂ > 0.

(b)

The information provided is:

n₁ = 1750

n₂ = 1800

X₁ = 1470

X₂ = 1458

Compute the sample proportions and total proportions as follows:

$\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{1470}{1750}=0.84\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{1458}{1800}=0.81\\\\\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1470+1458}{1750+1800}=0.825$

(c)

Compute the test statistic value as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.84-0.81}{\sqrt{0.825(1-0.825)\times [\frac{1}{1750}+\frac{1}{1800}]}}\\\\=2.352$

The test statistic value is 2.352.

(d)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=P(Z>2.352)=1-P(Z$

The p-value of the test is very small. The null hypothesis will be rejected at any significance level.

Thus, there enough evidence suggesting that there has been an increase in the proportion of rooms occupied over the one-year period.

7 0

3 years ago