Answer:
Step-by-step explanation:
Remark
Anything multiplied by 0 = 0. So the whole right side is 0.
(6x - 9)*3 - 1 = 0 Add 1 to both sides.
(6x - 9)*3 - 1 + 1 = 0 + 1 Combine
(6x - 9)*3 = 1 Divide both sides by 3
(6x - 9)*3/3 = 1/3 Simplify
(6x - 9) = 1/3 Remove brackets. Add 9 to both sides
6x - 9+9 = 9 1/3 Combine
6x = 9 1/3
6x = 28/3 Divide both sides by 6
6x / 6 = 28/3 // 6 Invert the 6 and multiply.
x = 28/3 * 1/6
x = 28/18
Answer
x = 14/9
The equation that must be true regarding the function is a. f(–3) = –5
<h3>
How to explain the information?</h3>
The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?
a. f(–3) = –5
b. f(–3, –5) = –8
c. f(–5) = –3
d. f(–5, –3) = –2
The question is what does the point (-3, -5) correspond to on the graph of the function.
If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.
Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.
Therefore the correct answer is f(-3)=-5.
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Answer:
75 cents
Step-by-step explanation:
60 dimes is 600 cents or $6, 60 nickels is 300 cents or $3. when we add them together we have $9 and we need 9.75 so we need 75 cents more.
Answer:
Example:
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Solution:
tree diagram
a) Check that the probabilities in the last column add up to 1.
b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.
ii) There are two outcomes where the second ball can be black.
Either (B, B) or (W, B)
From the probability tree diagram, we get:
P(second ball black)
= P(B, B) or P(W, B)
= P(B, B) + P(W, B)
Answer:
20x²
Step-by-step explanation:
20x² is one term, a monomial.
