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3 years ago

Write the answer as a polynomial in descending powers of x. Please show all work.

Mathematics

1 answer:

NemiM [27]3 years ago

6 0

I am assuming you are supposed to find the area of the shaded rectangle? If so then we must subtract the area of the smaller rectangle from the larger rectangle, so:

(x+9)(x+3) - ((x+1)(x+5))
= x^2 + 12x + 27 - (x^2 + 6x + 5)
= 6x + 22

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Mrs. Byrne's class went raspberry picking. The data show the weights of the cartoons of raspberries the students picked. Make a

Licemer1 [7]

Here is what you tally chart/table would look like:

Weight Tallies

1/4 lll
2/4 ll
3/4 lll
4/4 l

Here is what your line plot would look like:

X X
X X X
<u>X X X X
</u><u />1/4 2/4 3/4 4/4

4 0

3 years ago

What is the difference between normal score and standard score?

Karo-lina-s [1.5K]

Answer:

Difference between standard score and raw score

In statistics, the standard score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being observed or measured.

Step-by-step explanation:

normal and rare are same

5 0

3 years ago

Write an equation in slope-intercept form for the line with slope -2/5 and y-intercept 6 .

lana66690 [7]

y=(-2/5)x + 6

Step-by-step explanation:

y-6= (-2/5)x or y=(-2/5)x + 6

5 0

2 years ago

The average distance from Earth to the sun is about 9.3×10^7 miles. The average distance from Mars to the sun is about 1.4×10^8

diamong [38]

Move the decimal to the right (you go to the right since the exponent is positive, if the exponent was negative then you would move left) seven times, giving you 9,300,000 miles (for Earth). You then do the same with the next equation, giving you 140,000,000 miles (for Mars).

Finally, to find the official number of miles, you simply work the equation 140,000,000 - 9,300,000 .. giving you 130,700,000 miles.

If your teacher wants you to put it back into exponential form, then you first make the number into a decimal that is greater than one and less than ten.

1.30700000

Then, what you want to do is count all of the zeros as a single exponent, giving you 5, but we're not done yet. To get the correct answer, you have to also count the numbers until you reach the decimal. Remember to take out the zeros, because they're not really necessary anymore!

1.307× $10^{8}$

5 0

4 years ago

A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo

Mama L [17]

Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0

3 years ago