Answer:
Number of combinations = 56
Step-by-step explanation:
Points to remember
nCₐ = n!/(r!(n - r)!)
The given word is "FRIENDLY"
F R I E N D L Y is a 8 letter word.
<u>To find the number of combinations</u>
5 letters can be selected from 8 letter = 8C₅
8C₅ = 8!/(8 - 5)!5!
= 8!/3!5!
= (8 * 7 * 6* 5!)/(1 * 2 * 3 * 5!)
= 8 * 7
= 56
5 letter combinations can be created from the letters in the world “friendly = 56
The value of function f(x). =-2ax² -5a + 4 at a = -3 will be -23a + 2.
<h3>What is a function?</h3>
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
For example y = sinx , y = x + 3 ets.
Given,
f(x) = - 2ax² -5a + 4
x = -3
f(-3) = - 2a(-3)² -5a + 4
f(-3) = -18a - 5a + 4
f(-3) = 23a + 2
Hence the value of function f(x). =-2ax² -5a + 4 at a = -3 will be -23a + 2.
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The histogram is attached with the answer.
<h3>What is a Histogram ?</h3>
It is a mathematical representation of data in a bar shaped graph , the range is user defined.
The histogram is drawn and the shape of the histogram is left skewed as the peak of the graph lies to the left of the centre.
The histogram is attached with the answer.
The complete question is
the frequency table shows the results of a survey that asked people how many hours they spend working in the yard per month. display the data in a histogram. describe the shape of the distribution
The data is attached with the answer.
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Answer:
Step-by-step explanation:
Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4
so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well