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notka56 [123]
4 years ago
13

For the data in the table does y vary directly with x. If it does write an equation for the direct variation.

Mathematics
2 answers:
PSYCHO15rus [73]4 years ago
7 0
D. no y does not vary directly with x
AnnZ [28]4 years ago
6 0
Y varies directly with x means
y=kx or
y/x=k
see if that's true for all of them, if they all have same k value, it is direct variation

24/32=3/4
8/16=1/2
6/8=3/4

no

D is answer
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Step-by-step explanation:

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12 more than the number 5 and a x
siniylev [52]

Answer:

Step-by-step explanation:

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In the equation x/35 = 7, what is the value of x?<br> a. 7<br> b. 245<br> c. 35<br> d. 5
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<span>So we wan't to get the value of x in the equation x/35=7. To get x we need to multiply both sides of the equation with 35 and then we get: x=7*35. So after multiplying we get x= 245. To check the solution lets divide 245/7=35. So the correct answer is b. 245.</span>
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2 years ago
3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

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2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

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x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
3 years ago
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