Answer:
-7
Step-by-step explanation:
substitute the given values into the expression
xy-x
(-2 times 3)-1
-6 - 1 = -7
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The fractions that use the least common denominator and are equivalent to 9/10 and 5/6 are 27/30 and 25/30 respectively
Given:
9/10
5/6
find the least common multiple of the denominators 10 and 6
10 = 10, 20, 30, 40, 50
6 = 6, 12, 18, 24, 30, 36, 42
The least common multiple is 30
find an equivalent fraction that has 30 as the denominator using x as numerator
9/10 = x/30
9 × 30 = 10 × x
270 = 10x
x = 270/10
x = 27
5/6 = x/30
5 × 30 = 6 × x
150 = 6x
x = 150/6
x = 25
Therefore, the pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6 are 27/30 and 25/30 respectively
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Answer:
x≥2.56
Step-by-step explanation:
first we can write the inequality
2+9x≥25
we can now solve this with algebra
9x≥23
x≥2.56
The missing dataset is 81 at the 4th position.
We have the following data set -
82, 87, 77, 70, 80, 88
whose Median is - 81
We have to find out the missing data in this dataset.
If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position .
Let the missing element be x. Now, the data set becomes -
82, 87, 77, 70, 80, 88, x
To total number of elements in the dataset = 7, which is a odd number.
The element at the position for odd number of elements equals to Median which is equal to 81.
Hence, the missing dataset is 81 at the position - = 4th position.
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f(x) = -0.805x + 38.967
f(x) = 0.805x + 38.967
f(x) = -0.001x2 - 0.543x + 37.389
f(x) = 0.001x2 - 0.543x + 37.389
The correct answer for the data is (d) f(x) = 0.001x² - 0.543x + 37.389.
To determine which function most appropriately models the data, we need to examine the characteristics of the data and compare them with the characteristics of the functions.
The data represents the revenue from Tallahassee theaters, which means that the revenue is likely to increase as the number of theaters and the number of people attending the theaters increases. Therefore, we can eliminate options (a) and (b) because they have negative coefficients on x, which would indicate a decreasing revenue as x increases.
Option (c) is a quadraticfunction, which allows for a more complex relationship between the revenueand the number of theaters. However, the coefficient on the x² term is very small (0.001), which suggests that the quadratic term has little effect on the revenue compared to the linear term. In addition, the constant term (37.389) is relatively low, which would imply a low revenue even when the number of theaters is zero.
Option (d) is also a quadratic function, but it has a larger coefficient on the x² term (0.001) and a higher constant term (37.389), which would result in a higher revenue even when the number of theaters is zero. Therefore, option (d) is the most appropriate function to model the data.
So, the correct answer is (d) f(x) = 0.001x² - 0.543x + 37.389.
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Answer:
its c
Step-by-step explanation: