Answer:
"The range of the function is all real numbers less than or equal to 9."
Step-by-step explanation:
For this question the domain is (-∞,∞)
The range is all numbers less than 9 (the y-coordinate of the vertex)
The reason the numbers are less than 9 is because the graph is concave down (aka it looks like a frowny face)
Therefore the answer is "The range of the function is all real numbers less than or equal to 9."
Answer:
(0,3)
Step-by-step explanation:
solve for 2y
-X-2y= -6
2y=6+2x
substitute the given value of 2y into the equation -x-2y=-6
-x-(6+3x)= -6
solve for x
x=0
substitute the given value of X into the equation 2y=6+3x
2y=6+3×0
solve for y
y=3
the solution is (0,3)
Given:
Circumference of a circle = C
Diameter of a circle = d
To find:
The relationship between the circumference, c, and diameter, d, of any circle.
Solution:
We know that, circumference of a circle is
It can be written as
![[\because d=2r]](https://tex.z-dn.net/?f=%5B%5Cbecause%20d%3D2r%5D)
On dividing both sides by d, we get
Therefore, the correct option is (F).
What is the question? if you are looking for the sides 2 sides are 40 and the other 2 are 20.
Answer:
a. 0.76
b. 0.23
c. 0.5
d. p(B/A) is the probability that given that a student has a visa card, they also have a master card
p(A/B) is the probability that given a student has a master card, they also have a visa card
e. 0.35
f. 0.31
Step-by-step explanation:
a. p(AUBUC)= P(A)+P(B)+P(C)-P(AnB)-P(AnC)-P(BnC)+P(AnBnC)
=0.6+0.4+0.2-0.3-0.11-0.1+0.07= 0.76
b. P(AnBnC')= P(AnB)-P(AnBnC)
=0.3-0.07= 0.23
c. P(B/A)= P(AnB)/P(A)
=0.3/O.6= 0.5
e. P((AnB)/C))= P((AnB)nC)/P(C)
=P(AnBnC)/P(C)
=0.07/0.2= 0.35
f. P((AUB)/C)= P((AUB)nC)/P(C)
=(P(AnC) U P(BnC))/P(C)
=(0.11+0.1)/0.2
=0.21/0.2 = 0.31
