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uranmaximum [27]
2 years ago
15

Evaluate the following expression when x = 1/2 and y = -3. -4xy

Mathematics
1 answer:
solong [7]2 years ago
3 0

Answer:6

Step-by-step explanation:

-4xy

-4(1/2)(-3)

-4(-1.5)

6

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The function p(x) = −2000x2 + 18000x − 15000 models the monthly profit P of a smoothie company, where x represents the price per
ohaa [14]

Answer:

Step-by-step explanation:

Givem the profit function

p(x) = −2000x2 + 18000x − 15000

We are to generate the price range that will generate a monthly profit of at least $25,000

Substitute into the function we have;

25000 = −2000x2 + 18000x − 15000

Divide through by 1000

25 = -2x²+18x-15

Rearrange

-2x²+18x-15-25 = 0

2x²-18x+40 = 0

Divide through by 2

x²-9x+20 = 0

Factorize

x²-5x-4x+20 = 0

x(x-5)-4(x-5) = 0

x-4 = 0 and x-5 = 0

x = 4 and x = 5

Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive

8 0
3 years ago
Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and
Leni [432]

Answer:

No, the Roger’s claim is not correct.

Step-by-step explanation:

We are given that Roger claims that the two statistics most likely to change greatly when an outlier is added to a small data set are the mean and the median.

This statement by Roger is incorrect because the median is unaffected by the outlier value and only the mean value gets affected by the outlier value.

As the median represents the middlemost value of our dataset, so any value which is an outlier will be either at the start or at the end will not the median value. So, the median will not likely change when an outlier is added to a small data set.

Now, the mean is the average of all the data set values, that is the sum of all the observations divided by the number of observations. The mean will get affected by the outlier value because it take into account each and every value of the data set.

Hence, the mean will likely to change greatly when an outlier is added to a small data set.

7 0
3 years ago
X - 4 = -4 - 4<br><br> 2 - 3x = -x - 8<br><br><br> Please help me solve these
irina [24]
X - 4 = -4 -4

Combine the two -4.

X - 4 = -8

Add 4 on both sides to isolate the x and get your answer.

X = -4

2 - 3x = -x - 8

Subtract the 2 on both sides.

-3x = -x - 10

Add the x on both sides.

-2x = -10

Divide by -2 on both sides to isolate the x and get your answer.

x = 5

5 0
3 years ago
Find the next item in the pattern. 2,5,8,11,14
Stels [109]

The next item in the pattern would be 17

5 0
3 years ago
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Please help Which expressions are equivalent to the given complex number?
Brut [27]

(9 + 4i ) + ( 36 - 2i) is the equivalent complex number

7 0
3 years ago
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