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kondaur [170]
4 years ago
15

Arrange the parabolas with respect tonthe postion of their vertices from left to right

Mathematics
1 answer:
agasfer [191]4 years ago
6 0

Answer:

The correct answer for this question is this one:


If the x position of the vertex for f(x) is k then : 


1. f(k) => 4x+3=k, x = (k-3)/4 = (k/4)-(3/4) 

2. x = k+3 

3. x = (k+1)/2 = (k/2)-(1/2) 

4. x = 2(k+2) = 2k+4 

5. x = k+7 

6. x = k-3 

7. x = k-2 


So the order depends on the original position of the vertex k, e.g for k=0 the positions would be: 


1. -3/4 

2. 3 

3. -1/2 

4. 4 

5. 7 

6. -3 

7. -2 


So, therefore, the order would be 6 7 1 3 2 4 5



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olga2289 [7]
The new coordinates are (3, 1)
5 0
3 years ago
The graph has y-intercept (0, 6) and contains the point (2, 1).
prisoha [69]

Answer:

5x + 2y = 12

Step-by-step explanation:

Direction factor = (2, 1) - (0, 6) = (2, -5)

So, normal factor = (5, 2)

Line: 5x + 2y = k

(0, 6) -> L: 0 + 12 = 12 = k

L: 5x + 2y = 12

5 0
3 years ago
Mother wants to divide $36 between her daughters Ava and Charlotte in the ratio of their ages. If Ava is 15 years old and Charlo
Fantom [35]

Answer:

Ava's share = $20

Charlotte's share = $16

Step-by-step explanation:

15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36

27x = 36 : add x terms

x = 36 / 27 : divide both sides of equation by 27

x = 4 / 3

Ava's share = 15x = 15 * 4/3 = 20

Charlotte's share = 12x = 12 * 4/3 = 16

8 0
3 years ago
Please help me :((!!!!
Alika [10]
This seems like a concept you’re going to learn and use so I’ll do a problem per section and explain.

Well basically this is a concept: if it’s a negative exponent it’s just 1/number^exponent.

So for example:
#1. 1/(10)^2 = 10^-2

The standard notation:
#9: You know that 1/(10)^3 you could either put it in a calculator or realize that you take the number 1, and move the decimal to the left three times. 0.001 would be the answer.

Scientific notation:
combines these topics. Let’s take #17. 0.025. Scientific notation means you write it as a number multiplied by 10^? So let’s see how many places you can move the decimal to get a number without the zeros.

0.025 => move it two places to the right. So that’s 2.5. Now 2.5 multiplied by what 10^? Would give you 0.025? It would be 10^-2. So your answer would be 2.5 x 10^-2.

For all of these, use your knowledge of the power of tens and dividing by tens! ^^ you got this. Let me know if you need help after this explanation.
7 0
3 years ago
Last year, 75 new houses were built in a neighborhood. So far this year, 4/5 of them have been sold. How many new houses have be
valina [46]

Answer:

60 sold

Step-by-step explanation:

4/5 of 75 new houses sold this year comes out to 60 new houses sold.  Just multiply the total (75 houses) by this fraction (4/5).

7 0
3 years ago
Read 2 more answers
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