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3 years ago

Express (x + 3)2 as a trinomial in standard form.

Mathematics

2 answers:

MariettaO [177]3 years ago

5 0

Answer:x^2+6x+9

Step-by-step explanation:

ale4655 [162]3 years ago

4 0

Answer:

x^2−6x+9

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax^2 + bx + c

Rewrite (x - 3)^2 as (x -3) (x-3).

(x - 3) (x - 3)

expand (x - 3 ) (x - 3) using the FOIL method

Apply the Distributive property

x (x - 3) - 3 (x - 3)

again

x * x + x * -3 - 3 (x- 3)

and again

x * x + x * -3 - 3x - 3 * -3

then simplify and combine like terms

- Multiply x by x

x^2 + x * - 3 - 3x -3 * -3

- Move -3 to the left of x

x^2 - 3 * x - 3x - 3 * -3

Multiply -3 by -3

x^2 - 3x - 3x + 9

Subtract 3x by -3x

x^2 - 6x + 9

Hope that helps!

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Please help with this problem, I don't understand how to work it out.

balandron [24]

The way to work it is to make a table in Excel (or equivalent program) with the data of budget for every year.

This is how it should look:

year budget 
 0 265.1 
 1 277.5 
 2 288.9 
 3 303.0
 4 311.3
 5 320.4
 6 334.5
 7 351.2
 8 368.2 
 9 381.7

Select both columns and inser a scatter plot graph (menu, insert, graph, scatterplot).

Now change the design of the graph to include the model. In this case I got y = 12.724 x + 262.92

x represents the number of year after 1990 and y represents the budget.

Now you can use the model to calcualte the budget when you know the year and to calculate the year when you know the budget.

For year 2001, x = 11 and y = 12.724 (11) + 262. 92 = 402.88 (which is 402,880)

This is the same year for which the budget exceeds 400,000.

6 0

4 years ago

Simplify 6c + 4d -c +7d

Nesterboy [21]

So let’s sort out the c:

So 6c - c = 5c

Then let’s sort out the d:

4d + 7d = 11d

So the equation simplified is :

5c + 11d

8 0

3 years ago

8 times the sum of a number and 9 is -32

Andre45 [30]

Answer:

Answer:

3) The greatest age that Sue could be is 7.

4) The smaller of the two integers is 92.

5) Don needs to earn at least 244 points in the fourth game.

Step-by-step explanation:

1) An rectangle has 2 dimensions: width(w) and length(l)

The perimeter P is:

The problem states that the length of a rectangle is three times its width. So l = 3w and:

The perimeter of the rectangle is at most 112 cm. It means that the perimeter can be 112, so the equal sign enters the inequality. So

The problem states that he earns $850 per week in sales. His earnings is modeled by the following equation:

, in which w is the number of weeks.

The problem also states that he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. So his expenses can be modeled by the following equation

, in which w is also the number of weeks.

He will make a profit when his earnings are bigger than his expenses, so: When they are equal, there is no profit, so the equal sign does not enter the inequality.

I am going to call Jenny's age x and Sue's age y.

The problem states that Jenny is eight years older than twice her cousin Sue’s age. So

The sum of their ages is less than 32, so:

Sue's age has to be less than 8, so the greatest age that Sue could be is 7.

The sum of two consecutive integers is at least 185.

There are two integers with sum of 185, so:

They are consecutive so:

Replacing in the sum equation:

The smaller of the two integers is 92.

The average is the sum of all the scores divided by the number of games. So:

Don needs to earn at least 244 points in the fourth game.

6 0

3 years ago

What is 12% of 504 please let me know

Nonamiya [84]

Answer:

504 * 0.12 = 60.48

Step-by-step explanation:

math

6 0

4 years ago

Read 2 more answers

Oishi and Schimmack (2010) report that people who move from home to home frequently as children tend to have lower than average

user100 [1]

Answer:

The well-being for frequent movers is significantly different from well-being in the general population. ( Alternate Hypothesis accepted )

cohen's d = -0.91 , ( Large Effect )

Step-by-step explanation:

Given:-

- A sample of size n = 12

- The population mean u_p = 40

- The sample was taken as:

38, 37, 41, 35, 42, 40, 33, 33, 36, 38, 32, 39

Find:-

On the basis of this sample, is well-being for frequent movers significantly different from well-being in the general population? Use a two-tailed test with α = 0.05.

Solution:-

- State the hypothesis for sample mean u_s is same as population mean u_p.

Null Hypothesis: u_s = 40

Alternate Hypothesis: u_s ≠ 40

- The rejection criteria for the Null hypothesis can be modeled by T-value ( n < 30 ) with significance level α = 0.05.

DOF = n - 1 = 12 - 1 = 11

Significance level α = 0.05

t_α/2 = t_0.025 = +/- 2.201

- For the statistic value we have to compute sample mean u_s given by:

u_s = Σ xi / n

u_s = (38 + 37 + 41 + 35 + 42 + 40 + 33 + 33 + 36 + 38 + 32 + 39) / 12

u_s = 37

- For the statistic value we need population standard deviation S_p given by:

S_p = S_s / √n

Where, S_s : Sample standard deviation.

S_s^2 = Σ (xi - u_s)^2 / (n-1)

=[ 2*(38-37)^2 + (37-37)^2 + (41-37)^2 + (35-37)^2 + (42-37)^2 + (40-37)^2 + 2*(33-37)^2 + (36-37)^2 + (32-37)^2 + (39-37)^2 ] / ( 11 )

S_s^2 = [ 2 + 0 + 16 + 4 + 25 + 9 + 32 + 1 + 25 + 4 ] / 11

S_s^2 = 10.73

S_s = 3.28

The population standard deviation ( S_p ) is:

S_p = 3.28 / √12

S_p = 0.95

- The T-statistics value is computed as follows:

t = ( u_s - u_p ) / S_p

t = ( 37 - 40 ) / 0.95 = -3.16

- Compare the T-statistics (t) with rejection criteria (t_α/2).

-3.16 < -2.201

t < t_α/2 ...... Reject Null Hypothesis.

- The well-being for frequent movers is significantly different from well-being in the general population. ( Alternate Hypothesis accepted )

- The cohen's d is calculated as follows:

cohen's d = ( u_s - u_p ) / S_s

cohen's d = ( 37 - 40 ) / 3.28 = -0.91 , ( Large Effect )

5 0

3 years ago