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3 years ago

A parabola has the equation f(x) = 2(x − 3)2 − 4. Complete:

Mathematics

1 answer:

RUDIKE [14]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = 2(x - 3)² - 4 ← is in vertex form

with (h, k) = (3, - 4), thus

1 the vertex is (3, - 4 )

Consider the value of a

• If a > 0 then graph opens up and is a minimum

• If a < 0 then graph opens down and is a maximum

2 Here a = 2 thus the graph opens up

The max/ min value of the function is the y- coordinate of the vertex, thus

3 The function has a minimum value of - 4

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Molly measured the diameter of her bike tire and found that it was 2 feet across. She estimated that for every turn of the tire,

natulia [17]

Answer:

Molly's estimation was approximately correct.

Step-by-step explanation:

Given:

Diameter of bike tire = 2 feet

Also Given:

She estimated that for every turn of the tire, the bike traveled about 6 feet.

Estimated Distance traveled = 6 feet

We need to find that whether her estimation reasonable.

Solution:

Now we know that Distance traveled is equal to Circumference of tire.

Since Tire is in circular shape.

We can say that;

Circumference of the tire will be π times diameter.

framing in equation form we get;

Circumference of the tire = $\pi \times 2 = 6.28 \ feet$

Now The actual distance traveled is 6.28 feet and Molly estimated as 6 feet.

Hence we can say that Molly's estimation was approximately correct.

5 0

3 years ago

Alejandro loves to go to the movies .He goes both at night and during the he day

Alex17521 [72]

The number of matinee movies attended is 4.

The number of a evening show movies attended is 2.

Step-by-step explanation:

Let x represent the number of matinee movies attended.
Let y represent the number of evening show movies attended.

Alejandro went to see a total of 6 movies.

Therefore, from the given data the equation can be framed as :

⇒ x + y = 6 ----------(1)

The cost of a matinee is $7.
The cost of an evening show is $12.
Alejandro spent a total of $52.

Therefore, from the given data the equation can be framed as :

⇒ 7x + `12y = 52 ---------(2)

To solve the equations for x and y values :

Mulitply eq (1) and by 7 and subtract eq (2) from eq (1),

7x + 7y = 42

- (7x + 12y = 52)

- 5y = - 10

⇒ y = 10/5

⇒ y = 2

The number of a evening show movies attended is 2.

Substitute y=2 in eq (1),

⇒ x+2 = 6

⇒ x = 6-2

⇒ x = 4

The number of matinee movies attended is 4.

8 0

2 years ago

5. Find the distance between points at (6. 11) and (-2,-4). 16 17 18 19

Hoochie [10]

I think the correct answer is 17

4 0

3 years ago

What is the following sum 3b^2

densk [106]

The given expression is $3b^2*(\sqrt[3]{54a}) + 3*(\sqrt[3]{2ab^6})$

This can be simplified as :

= $3*b^2*(\sqrt[3]{27 *2*a}) + 3*(\sqrt[3]{2*a*b^6})$

We know that: $\sqrt[3]{27} = 3$

Similarly we also can simplify: $\sqrt[3]{b^6} = b^2$

So our expression will look like this:

= $3*3*b^2*(\sqrt[3]{2a}) + 3*b^2*(\sqrt[3]{2a})$

= $9b^2*(\sqrt[3]{2a}) + 3b^2*(\sqrt[3]{2a})$

= $\sqrt[3]{2a}*(9b^2 + 3b^2)$

= $\sqrt[3]{2a}*(12b^2)$

This can also be written as:

$12b^2(\sqrt[3]{2a})$

So the Answer is Option B

6 0

2 years ago

Read 2 more answers

Find the value of x and y

Naddik [55]

Just a guess, but the angle inside the triangle that's not x or y is the remaining angle after subtracting the 30 degrees shown. That makes the non labeled angle inside the triangle 150 degrees. since all triangles are 180 degrees, this means x and y add up to 30. They look roughly the same, so i'd guess they're both 15 degrees.

6 0

2 years ago