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GenaCL600 [577]
2 years ago
5

How do you prove if quantities vary directly?

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
8 0

Answer:


Step-by-step explanation:

If quantities vary directly, then one is simply the other multiplied by a fixed number. All sets of two numbers in a direct variation are one number multiplied by a fixed number to get the second number.

Example:

1 gallon of gasoline costs $3.50

2 gallons of gasoline cost $7.00

3 gallons of gasoline cost $10.50

Is the price of gasoline a direct variation based on the number of gallons?

3.5/1 = 3.5

7/2 = 3.5

10.5/3 = 3.5

When you multiply 1 gal, 2 gal, and 3 gal by the constant number 3.5 $/gal, you get the price. Since the multiplication is always by the same number, it is a direct variation.


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Can you combine like terms without formally showing the distributive property? Explain.
blsea [12.9K]
Yes you can! Say you have 5(2 + x) + 3x. The answer would be 10+8x because when you use the distributive property you will end up getting 5*2 5*x and once you multiply, it's obvious 5 times 2 is 10 and 5 times x will equal 5x. Then you add 5x and 3x and get 8x. So, the simplified expression here is 10+8x. When you have this as an answer it's proving your answer right. You can without using the distributive property. We can have 10+5x+3x and it will be your simplified expression. It's the same thing with equations too.
6 0
3 years ago
which equation is the equation of the line in point slope form that has a slope of 12 and passes through the point (-1, 14)
Nostrana [21]

Point slope from would be 12x-y+26=0.

Black is the equation, 12x-y+26=0.

  • Orange is <em>y-14=12(x+1)</em>
  • Blue is <em>y-14=12(x-1)</em>
  • Red is <em>y+14=12(x-1)</em>
  • Green is <em>y-14=-12(x+1)</em>

5 0
3 years ago
Whats the answer plz?10 points!:)
jeyben [28]

Answer:


Step-by-step explanation:

f(x) = 3x + 1 and g(x) = x^2 - 6

(f + g) (x)

(3x + 1) + (x^2 - 6)

3x + 1 + x^2 - 6

3x - 5 - x^2

=> -x^2 + 3x - 5

I hope this helps!


7 0
3 years ago
Question 6. Geometry question.
kupik [55]

B. if two lines are perpendicular, then they intersect to form four right angles.

4 0
3 years ago
Does anyone know the correct choice for this question? If its correct ill mark you as the best answer choice! Please!
Alchen [17]

Answer:

the answer is H. it's slope is 5/4 which is the opposite reciprocal of -4/5 and that makes the lines perpendicular.

7 0
2 years ago
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