Answer:
y = -3/2 x +13
Step-by-step explanation:
We want our line to be perpendicular to
y = 2/3 x -1
The slope of this line is 2/3 (since it is written in the form y = mx+b and m is the slope)
Perpendicular lines have negative reciprocal slopes
m = -(3/2)
The slope of our new line is -3/2
We can use point slope form of the equation
y-y1 - m (x-x1)
y - 7 = -3/2 (x-4)
Distribute
y-7 = -3/2x +6
Add 7 to each side
y-7+7 = -3/2 x +6+7
y = -3/2 x +13
Which table represents a linear function? y=3,7,11,15 y=3,8,15,21 y=3,9,3,9 y=3,9,27,81?
steposvetlana [31]
The table that represents a linear function is y=3,7,11,15
<h3>How to determine the table?</h3>
For a table to represent a linear function, the table must have a constant rate of change i.e. a common difference
From the list of options, we have:
y=3,7,11,15
The difference between each y value is 4
i.e. 7 - 3 = 11 - 7 = 15 - 11 = 4
Hence, the table that represents a linear function is y=3,7,11,15
Read more about linear functions at:
brainly.com/question/4025726
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Answer:
your best bet is 16.168.
id-k how to round it to the nearest tenth
Step-by-step explanation:
Answer: 7 and 8
<u>Step-by-step explanation:</u>
Let x represent the first number, then x + 1 is the other number.
(x)² + (x + 1)² = 113
x² + x² + 2x + 1 = 113 <em>expanded (x + 1)²</em>
2x² + 2x + 1 = 113 <em>added like terms</em>
2x² + 2x - 112 = 0 <em>subtracted 113 from both sides</em>
x² + x - 56 = 0 <em> divided both sides by 2</em>
(x + 8) (x - 7) = 0 <em>factored polynomial</em>
x + 8 = 0 x - 7 = 0 <em>applied zero product property</em>
x = -8 x = 7 <em> solved for x</em>
↓
not valid since the restriction is that x > 0 <em>(a positive number)</em>
So, x = 7 and x + 1 = (7) + 1 = 8
Answer:
The correct answer is: Option D: 26 vehicles
Step-by-step explanation:
Median is the middle value of a sorted data set.
The formula for median depends on the number of values in the dataset.
First of all we have to arrange the given data in order
So,
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
Counting the values in the dataset
n = 20
As the number of values is even, the formula for median will be
Putting the values
![M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Cfrac%7B20%7D%7B2%7Dth%5C%20value%2B%28%5Cfrac%7B20%7D%7B2%7D%2B1%29th%5C%20value%29%5C%5CM%3D%5Cfrac%7B1%7D%7B2%7D%2810th%5C%20value%20%2B%5B10%2B1%5Dth%5C%20value%5D%5C%5CM%3D%20%5Cfrac%7B1%7D%7B2%7D%2810th%5C%20value%20%2B%2011th%5C%20value%29)
The 10th value in dataset is 26 and 11th is also 26 so
Hence,
The correct answer is: Option D: 26 vehicles
