I need so much help !!!!!!!!!!! !!
2 answers:
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Answer:
b) x < -4
Step-by-step explanation:
Eliminate parentheses and you have ...
4x +4 > 16 +7x
-12 > 3x . . . . . . . . subtract 4x+16
-4 > x . . . . . . . . divide by 3
The number line will have an <em>open circle</em> at -4 and be shaded to the <em>left</em>. The pictures are a bit fuzzy, but we think choice B has that description.
Answer:
(a)10 Outcomes
(b)
Step-by-step explanation:
An urn contains two blue balls (denoted ) and three white balls (denoted
).
In the selection, a ball is picked and replaced.
The possible outcomes of the experiment are:
(a)If the first ball drawn is blue. the outcomes are:
There are 10 outcomes if the first ball drawn is blue.
Probability that the first ball drawn is blue
Answer: A: (x + 4)² + (y - 5)² = 8
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle
To find the equation of circle A, we need (h, k) and r².
It is given that (h, k) = (-4, 5)
The distance between the center of circles A and B is the radius of circle A.
Let's find the center of circle B by completing the square:
x² - 4x + ____ + y² + 6y + _____ = 12 + ____ + _____
↓ ↓
h = -4/2 k = 6/2
h = -2 k = 3 → Circle B has center (-2, 3)
Now let's find the distance between the center of circles A and B:
= (-4 - (-2))² + (5 - 3)²
= (-2)² + 2²
= 4 + 4
= 8
Now we have the the center (h, k) and the r² for circle A:
(h, k) = (-4, 5) and r² = 8 → (x + 4)² + (y - 5)² = 8