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ddd [48]
3 years ago
11

The question is in image!!!!!! plz answer you’ll get 95 points!!

Mathematics
2 answers:
dybincka [34]3 years ago
4 0

Answer:

  • Option A is correct

Step-by-step explanation:

<u>Given functions f(x) and g(x). f(x) is:</u>

  • f(x) = x^2 + 4x + 6

<u>Converted into vertex form, it is:</u>

  • f(x) = (x + 2)^2 + 2

<u>g(x) has vertex at (-2, -14), it's vertex form is:</u>

  • g(x) = (x + 2)^2 - 14

Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).

Both have positive leading factors, therefore the vertex is their minimum point.

Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.

Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.

Correct choice is A

loris [4]3 years ago
4 0

Answer:a

Step-by-step explanation:

Did it

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For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile is 78, and the third qua
Igoryamba

Answer:

between 78 and 102 texts and more than 78 text messages.

Step-by-step explanation:

the range of it is 102-178, so its between there, and its more than 78 as well if the range goes up to 102

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4 years ago
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Chris’s new car gets 42 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?
Fantom [35]

Answer: I think the answer is B

Step-By-Step Explination:

First you find out what x is by doing 42 multiplying it by 0.1 witch equals 4.2 gallons per mile

Next you figure out what y is by doing 4.2y (witch is 4.2 times y)

4 0
3 years ago
The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm
Andrew [12]

A) the z score for 95% is 1.96

Multiply by the deviation:

1.96 x 0.005 = 0.0098

Now add and then subtract that from the mean:

4.035 - 0.0098 = 4.0252

4.035 + 0.0098 = 4.0448

The interval is (4.0252, 4.0448)

B) 4.035 +/- 1.96 x sqrt( 0.005/sqrt(25))

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Answer: ( 4.033, 4.037)

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6 0
3 years ago
State the Lagrange Theorem, and find the order of all possible subgroups of a group of order 5. The same question of a group of
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Answer:

  Lagrange Theorem

Step-by-step explanation:

The Lagrange Theorem:

Let G be a finite group and T be a subgroup of G. Then the order of T divides the Order of group G.

This can be written as:

If T \subset G, then, o(T)|o(G).

Possible Subgroups

Now, we are given a group with order 5. We have to find all possible subgroups.

So, the possible subgroup are: groups with order 1, group with order 5

We are given a group with order 6.

Possible subgroups are: group of order 1, group of order 2, group of order 3 and group of order 4.

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Helppppppppppp please...
Ede4ka [16]
Order from left to right by row
2
3
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1
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240
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3 years ago
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