Answer:
Axis of symmetry is
C) x = 1
Step-by-step explanation:
we are given equation as
we can use axis of symmetry formula
Let's assume we are given quadratic equation as
Axis of symmetry is
now, we can compare both equations
and we get
now, we can find axis of symmetry
If a marble is randomly selected from the box, then the probability
that it is small or green is 0.7297
Step-by-step explanation:
A box contains 19 large marbles and 18 small marbles
Each marble is either green or white
9 of the large marbles are green, and 8 of the small marbles are white
If a marble is randomly selected from the box, we need to find the
probability that it is small or green
1. Find P(small) ⇒ P(s)
2.Find P(green) ⇒ P(g)
3. Find P(small and green) ⇒ P(s and g)
4. Use the rule P(small or green) = P(s) + P(g) - P(s and g)
∵ The box contains 19 large marbles and 18 small marbles
∴ The total number of marbles = 19 + 18 = 37
∴ P(s) =
∵ There are 8 small white marbles
∵ There are 18 small marbles
∴ The number of small green marbles = 18 - 8 = 10
∴ P(s and g) =
∵ There are 9 large green marbles
∵ There are 10 small green marbles
∴ The number of green marbles = 9 + 10 = 19
∴ P(g) =
∵ P(small or green) = P(s) + P(g) - P(s and g)
∴ P(small or green) =
∴ P(small or green) = = 0.7297
If a marble is randomly selected from the box, then the probability
that it is small or green is 0.7297
Learn more:
you can learn more about probability in brainly.com/question/13053309
#Learnwithbrainly
Only 3(a−b) and 3a−3b are equivalent
Further explanation:
We have to evaluate each expression to evaluate if the expressions are equivalent or not.
So,
<u>For 3(a−b)</u>
As we can see that 3(a-b) results in 3a-3b so these are equivalent
<u>For 2a(2+b)</u>
As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent
Hence,
Only 3(a−b) and 3a−3b are equivalent
Keywords: Equivalent expression, Polynomials
Learn more about polynomials at:
#LearnwithBrainly
4x - 3y = 15
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Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
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Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Answer: