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Alex
3 years ago
12

The following is the graph of the quadratic parent function. T/F?

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer:

Step-by-step explanation:

The graph of the parent quadratic has the equation

y=x^2 which has its vertex at the origin. That means that (0, 0) is on the graph. Let's check a few other points. It looks like (1, 1) is also on the graph. If x = 1 and y = 1, fill them both into the equation and see if one side equals the other side.

1=1^2 and that's true. Let's check one more point. It appears that the point (2, 4) is also on the graph. x = 2 and y = 4:

4=2^2 and that is also true. So it is safe to say that this is in fact the parent graph of the quadratic function, y = x-squared.

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Two straight lines have equations y = p x + 4 y = p x + 4 and p y = q x − 7 p y = q x − 7 , where p p and q q are constants. The
kolbaska11 [484]

Answer:

q = \frac{8}{3}

Step-by-step explanation:

The point of intersection (3, 1 ) is the solution to both equations

Using

y = qx - 7 and substituting x = 3, y = 1

1 = 3q - 7 ( add 7 to both sides )

8 = 3q ( divide both sides by 3 )

\frac{8}{3} = q

6 0
3 years ago
3. Suppose U= {1,2,3,4,5,6,7,8,9,10} is the universal set and Q= {3,6,9}. What is Q'?
Readme [11.4K]

Answer:

3. Q' = {1 , 2 , 4 , 5 , 7 , 8 , 10} ⇒ answer C

4. A ⊂ B is False ⇒ answer B

Step-by-step explanation:

3.

- The universal set U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10}

- The set Q = {3 , 6 , 9}

- We need to find the complement of set Q (Q')

- The complement set of Q is the set of all elements belongs to the

 universal set U but does not belong to the set Q

- That means take off all the elements belongs to set Q from the

  universal set U

∵ U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10}

∵ Q = {3 , 6 , 9}

- Cancel from set U the elements 3 , 6 , 9

∴ Q' = {1 , 2 , 4 , 5 , 7 , 8 , 10}

4.

- The universal set U = {1 , 2 , 3 , 4 , 5 , 6 , 7 , 8}

- The set A= {1 , 3 , 5 , 7}

- The set B= {4 , 5 , 6}

- A ⊂ B means every element in set A belongs to set B

∵ A= {1 , 3 , 5 , 7}

∵ B= {4 , 5 , 6}

∵ The elements in set A ∉ in set B

∴ A ⊂ B is False

7 0
3 years ago
Mike has a 9 foot long board. He needs to cut it into 12 equal parts. How many feet long should each section be?
telo118 [61]
Multiply 9 feet times 12 inches and you get 108 inches. Then take 108 inches and divide it by 12 sections, you get 9 inches.

Answer: Each section should be 9 inches long, or 0.75, or 3/4 feet long.  
3 0
3 years ago
Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8
adoni [48]

Step-by-step explanation:

- 2x-2y=-6

3x+4y=8

multiply equation (1) by 3 and equation (2) by 2

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Add

2y=34

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substitute 17 for y in equation (2)

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3 years ago
The maximum height reached by the barnacle is _______ m.
Oksanka [162]

Answer:

1

Step-by-step explanation:

5 0
3 years ago
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