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vampirchik [111]
3 years ago
5

The vertex of f(x) = 3x ^2+ 5x + 2 is a: minimum maximum none of these

Mathematics
1 answer:
timama [110]3 years ago
6 0

Answer:

minimum

Step-by-step explanation:

Given a quadratic in standard form f(x) = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

f(x) = 3x² + 5x + 2 ← is in standard form

with a = 3

Since a > 0 then vertex is a minimum

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Suppose 180 geology students measure the mass of an ore sample. due to human error and limitations in the reliability of the​ ba
Over [174]

Given the total number of students are 180, the mean of data is 88g, and standard deviation is 1g.

A normal curve is a bell-shaped curve with symmetry about the mean and it spreads uniformly on both sides (left side and right side) of the mean.

The empirical rule is also called "68-95-99.7" rule. It says that :-

A) 68% of the data values fall between 1 standard deviation about mean (34% on left side and 34% on right side),

B) 95% of the data values fall between 2 standard deviations about mean (47.5% on left side and 47.5% on right side), and

C) 99.7% of the data values fall between 3 standard deviations about mean (49.85% on left side and 49.85% on right side).

According to distribution of normal curve and "68-95-99.7" empirical rule, we can say 49.85% of data values are above the mean within 3 standard deviations.

So it means 49.85% of total students report readings more than 88g.

Number of students reporting readings more than 88g = 49.85% of 180 = 0.4985 × 180 = 89.73

Hence, approximately 89 students report readings more than mean value.

3 0
3 years ago
three friends Run a 10 mile relay each person runs an equal amount what fraction of the relay does each person run
Anon25 [30]

Hey there!

Since there are 3 friends running an equal amount of this relay race, each will run 1/3 of the relay.

This is because 3 thirds make a whole, and each third is equal to the others, so if you add each distance ran by each of the friends, or simply multiply each portion by 3, you'd get 10 miles.

If you're also looking for how long each friend runs, which I know isn't in the question but I'll add it anyways, it is 3 1/3 miles. This can be found by dividing 10 into 3 equal parts.

Hope this helps!

6 0
3 years ago
Write the equation of the piecewise function whose graph is shown
dolphi86 [110]

1. The intevals of x should be:

  • x\le -1, because point (-1,1) lies on the linear part of the graph;
  • -1 because the point (-1,1) doesn't lie on the first parabola;
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This gives you that option B is false.

Now the middle part of the graph is parabola going in negative y-direction and right part of the graph is parabola going in positive y-direction. Therefore, option A is false, because there the middle parabola is going upward.

The third part of the graph has vertex at point (5,4). In option D the vertex of the parabola is (3,4), so this option is false.

Answer: correct choice is C.

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4 years ago
Ahaahhhahhahhahahaha help
igomit [66]

Answer:

Im pretty sure its 8.

Step-by-step explanation:

32/1 x 1/4= 32/4 = 8

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Which triangles are congruent in the diagram?
mr_godi [17]
The answer is B.) triangle HMN is congruent to triangle NGH
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