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Rufina [12.5K]
3 years ago
14

Identify the vertex f(x) = 3(x - 2) 2square + 11

Mathematics
1 answer:
scoray [572]3 years ago
4 0

Answer:

Step-by-step explanation:

Vertex form of a quadratic equation is:   y = a(x - h)² + k,  where point (h, k) is the vertex

f(x) = 3(x - 2)² + 11

This is in vertex form, so the vertex is (2, 11)

*it's positive 2 because we are subtracting h in the equation, and we are subtracting positive 2 in our problem

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The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of
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The image is not attached with, but by reading the question it is obvious that the blue region lies inside the larger square and outside the smaller square. That is the region between the two squares is the blue region.

We know the dimensions of both squares, using which we can find the area of both squares. Subtracting the area of smaller square from larger one, we can find the area of blue square and further we can find the said probability.

Area of larger square = 8 x 8 = 64 in² 
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Area of blue region = 64 - 4 = 60 in²

The probability that a randomly chosen point lies within the blue region = Area of blue region/Total area available

Therefore, the probability that a point chosen at random is in the blue region = 60/64 = 0.9375
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3 years ago
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1. A bag contains four green gumballs, three blue gumballs, and two red gumballs, all the same size and shape.
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Answer:

Step-by-step explanation:

a. P (red) = <u>2/9</u>

b. P (blue) = 3/9 = <u>1/3</u>

c. P (green) = <u>4/9</u>

d. Green, because out of the three types of gumballs, the green gumballs are more in number, therefore, it is the one you are most likely to get.

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2 years ago
Write the number 5267 correct to<br> the nearest hundred.
galben [10]

Answer:

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4 0
3 years ago
Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, the
san4es73 [151]

Answer:

We get value of the value of b = 5

Step-by-step explanation:

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

We have slope m: m=-\frac{1}{6}

We need to find value of b (y-intercept)

Using the point A(-6,6) and slope m=-\frac{1}{6} we can find b.

Using slope-intercept form, putting values of m and x and y we get the value of b:

y=mx+b\\6=-\frac{1}{6}(-6)+b\\6=1+b\\b=6-1\\b=5

So, we get value of the value of b = 5

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3 years ago
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cooki
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Answer:

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since there are 5 chocolate chip cookies than the probability would be

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3 years ago
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