Interpreting the inequality, it is found that the correct option is given by F.
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- The first equation is of the line.
- The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.
In standard form, the equation of the line is:
Thus it is a decreasing line, which removes options J.
- We are interested in the region on the plane below the line, that is, less than the line, which removes option H.
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- As for the second equation, the normalized equation is:
- Thus, a circle centered at the origin and with radius 2.
- Now, we have to check if the line
, with coefficients 
, intersects the circle, of centre 
- First, we find the following distance:
- Considering the coefficients of the line and the center of the circle.
- This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.
A similar problem is given at brainly.com/question/16505684
The mean of the set of numbers that are given in this situation regarding the population will be 1809.33.
<h3>How to solve the mean</h3>
The mean of the numbers will be:
= (1,585 + 1,690 + 1,735 + 1,935 + 2,021 + 1,890) / 6
= 1809.33
The median of the numbers will be:
= (1735 + 1890) / 2
= 1812.50
Also, from the complete question, the first quartile will be 1690 and the third quartile is 1935.
Learn more about mean on:
brainly.com/question/20118982
Answer:
The Slope of a line formula is given by
m=y2 - y1/ x2 - x1
Now Form a triangle using the straight line(It'd be best if you choose known Points on the graph)
Picking points (1, 2) and (2, 5) connect these points and you'll have a small triangle.
x1 y1 x2 y2
Substituting into the formula
m=5-2/2-1
m=3.
Answer:
$12.09
Step-by-step explanation:
formula; Y= kx
where; y = $24.18
x = 2 books
k = constant of proportionality
Step 1. Do the equation based on the data given
Y = kx
$24.18 = k2
Step 2. Compute the mathematical equation. Divide both sides by 2 to eliminate coefficient in the variable.
<u>24.18 =k2</u>
2
k = $ 12.09 is the constant of proportionality cost in dlooars per book
Answer:
x=−7/5and y=−6/5
Step-by-step explanation:
Step: Substitute−2x−4foryiny=3x+3:
y=3x+3
−2x−4=3x+3
−2x−4+−3x=3x+3+−3x(Add -3x to both sides)
−5x−4=3
−5x−4+4=3+4(Add 4 to both sides)
−5x=7
−5x
−5
=
7
−5
(Divide both sides by -5)
x=−7/5
