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mezya [45]
3 years ago
9

Mrs. Kimball drew a rectangle on the board and labeled the sides using linear expressions to represent measurements in meters. W

hat is the smallest possible length, in meters, of the shorter side of the rectangle if the perimeter is at least 401 meters?

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0
<span>Mrs. Kimball drew a rectangle on the board and labeled the sides using linear expressions to represent measurements in meters. What is the smallest possible length, in meters, of the shorter side of the rectangle if the perimeter is at least 401 meters?</span>
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Find the remainder when f(x) = 2x3 – 12x2 + 11x + 2 is divided by x – 5.
Oksana_A [137]

When dividing polynomial f(x) by linear polynomial x-a, the remainder is equal to f(a).

In your case a=5. Find f(a)=f(5):

f(5) = 2\cdot 5^3 - 12\cdot 5^2 + 11\cdot 5 + 2=2\cdot 125-12\cdot 25+55+2=250-300+55+2=7.

Answer: correct choice is C.

3 0
3 years ago
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1. Which is less? -27 or -36
Karo-lina-s [1.5K]
Sorry if these are not correct, but this is what i came up with

1. -36 is less
2. Decimal is 0.12 and fraction is 3/25
3. About 3 1/3 quartz of paint (not too sure)
4. Commutative property of addition
5. Associative Property of multiplication
6. Additive identity
7. Distributive property
8. Multiplicative Property of Zero
4 0
3 years ago
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To illustrate the importance of outliers, suppose you do not count the owner in the last problem. The data for the other
MA_775_DIABLO [31]

Answer:

<h2>The mean is 26666.67 and the standard deviation is 372919430.33.</h2>

Step-by-step explanation:

The mean means the average of the numbers.

The mean will be \frac{25000\times5 + 27000\times3 + 34000}{5 + 3 + 1} = \frac{240000}{9} = 26666.666666666.

The differences of the earnings from the mean are 1666.67, 26997.33, 33997.33.

Squaring the numbers we get, 2777788.89, 728855827.13, 1155818447.12.

We need to find the mean of the above numbers to get the standard deviation.

Thus, the standard deviation is \frac{2777788.89\times5 + 728855827.13\times3 + 1155818447.12}{9} = 372919430.33.

6 0
4 years ago
What is the sum of the polynomials 6a²-17a-9 and -5a²+8a-2?
professor190 [17]

Answer:

Choice A) a² - 9a - 11.

Step-by-step explanation:

Separate the terms by the power of the variable, a.

Terms with power 2 on a:

  • First equation: 6a²;
  • Second equation: -5a².

Terms with power 1 on a:

  • First equation: -17a;
  • Second equation: 8a.

Terms with power 0 on a, which are also known as constant terms:

  • First equation: -9;
  • Second equation: -2.

Apply the distributive property of multiplication in reverse. In other words, factor out terms with the same power and add the coefficients.

Terms with power 2 on a:

6a^{2} + (-5a^{2}) = (6 + (-5))a^{2} = a^{2}.

Terms with power 1 on a:

-17 a + 8a = ((-17) + 8)a = -9a.

Constant terms:

(-9) + (-2) = -11.

Add the sum of the individual terms to find the sum of the two polynomials:

a^{2} + (- 9a) +(- 11) = a^{2}-9a -11.

3 0
3 years ago
Driving 75 mph, it takes Alicia 3 hours to reach the airport to go on a vacation. It then takes her 4 hours to get to her destin
Bess [88]

She drives at a rate of 75 miles per hour for three hours, so the first thing you'd do is 75 x 3.

75 x 3= 225

So, she traveled 225 miles to the airport.

Then, she travels at a rate of 400 miles per hour for 4 hours.

4 x 400 = 1,600

That's 1600 miles she traveled from the airport to her destination.

Now to find the total number of miles traveled, add 1,600 and 225.

Total distance traveled: 1825 miles.

5 0
3 years ago
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