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SVETLANKA909090 [29]
2 years ago
9

Please help!!

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
5 0

The key feature of the functions that are needed to determine if the lines intersect are;

  • The slope; rate of change
  • The y-intercept

<h2>Slope and y-intercept</h2>

From straight line geometry, we can conclude that two parallel lines whose slope are equal can never intersect.

On this note, for the functions described in the question, the functions only intersect when the slopes are different.

Additionally, the functions may intersect in the event of having equal y-intercepts.

In order two straight lines in a coordinate plane intersect, they MUST have different slopes.

This condition is  NECESSARY  and  SUFFICIENT.

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What two equivalent fractions for 8/8?
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2/2. and 4/4

Step-by-step explanation:

because 8/8 is 1 and 2/2 and 4/4 are both 1 .

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Which number is an irrational number?
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Answer:

12.60

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3 0
3 years ago
Read 2 more answers
What is the maximum number of turns for the graph of f(x)=x^4+3x^2?
Stels [109]

Answer:

The turns of a graph is represented by the number of maximum or minimum that the function has.

If we differenciate f(x) we get:

f'(x)=4x^3+6x

f'(x)=2x(2x^2 + 3)

Therefore f'(x) =0, when x=0. Given that negative roots are not defined.

Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.

Attached you find the graph of the function which confirms the number of turns.

If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!

6 0
3 years ago
Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school
Ratling [72]

Answer:

1.1  R5.83

1.2 R70.01

1.3 58.34%

Step-by-step explanation:

Given that he buys a pack of 12 racing cars  for  R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack

= R49,99/12

= R4.17

If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price

= R10 - R4.17

= R5.83

The profit margin on one pack of 12 racing cars

Profit margin is the ratio of the profit to the total selling price

The total profit (profit on one pack of 12 racing cars)

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=R120

Margin = R70.01 / R120

= 58.34%

4 0
3 years ago
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