Solve for the variable. Show all work. 5|x + 7| + 14 = 8
2 answers:
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Answer:
a.
b.
c.
d.
Step-by-step explanation:
The sample space associated with the random experiment of throwing a dice is is the equiprobable space {R1, R2, R3, R4, R5, R6}. Then,
a. The conditional probability that 3 is rolled given that the roll is greater than 1?
b. What is the conditional probability that 6 is rolled given that the roll is greater than 3?
c. What is P [GIE], the conditional probability that the roll is greater than 3 given that the roll is even?
d. Given that the roll is greater than 3, what is the conditional probability that the roll is even?
To find the vertex of the parabola, we need to write it in a vertex form.
y=x² - 8x +12
1) complete the square
y=x² - 8x +12
y = x² -2*4x + 4² - 4² +12
y=(x-4)² -16 +12
2) calculate and write a vertex
y=(x-4)² -16 +12
y=(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)² - 4 -------y- coordinate of the vertex y = - 4
Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.
y=x² - 8x +12
1) complete the square
y=x² - 8x +12
y = x² -2*4x + 4² - 4² +12
y=(x-4)² -16 +12
2) calculate and write a vertex
y=(x-4)² -16 +12
y=(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)² - 4 -------y- coordinate of the vertex y = - 4
Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.