Answer:
The function y = ⌊x⌋ is called the "greatest integer value" function.
it works as follows: the input is any number x, the output is the greatest
integer smaller or equal to x.
For example:
⌊0.1⌋=0
⌊0.26⌋=0
⌊0.4678⌋=0
⌊0.8989⌋=0
⌊0.999⌋=0
⌊1⌋=0
⌊1.0001⌋=1
so, the value of ⌊x⌋, for the entire interval (0, 1] is 0.
Similarly,
the value of ⌊x⌋, for the entire interval (1, 2] is 1. and so on,
thus the graph of y = ⌊x⌋ is as shown in picture 1
the graph of y = ⌊x⌋ – 2 is the graph of y = ⌊x⌋ shifted 2 units down.
check picture 2.
Answer:
3
Step-by-step explanation:
Order of operations.
5*3/5 is basically the same as 5 times 3 divided by 5. If you are multiplying 5 by 3, and then dividing that same number from the answer, which is 5, then you will get the same number you multiplied by, or 3.
<em>Answer:</em>
12/35
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After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
<h3>What is Equation Modelling?</h3>
Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
To solve more questions on Equation modelling, visit the link below-
brainly.com/question/13536824
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If these 2 triangles are similar to each other, the corresponding sides have to exist in proportion to one another. The angles would be exactly the same (side length doesn't matter at all!). Going from the bigger triangle to the smaller, KL corresponds to RS; LJ corresponds to SQ; JK corresponds to QR. The ratio of KL:RS is 5:1; the ratio of LJ:SQ is 5:1; the ratiio of JK:QR is 5:1. That means that the sides are all proportionate and the triangles are similar by the SSS postulate. Now that we know that the triangles are similar, we can say that all the corresponding angles are the same by CPCTC but we had to determinte side similiarity first. Your answer is the second choice, SSS