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Inga [223]
3 years ago
12

the value y varies directly with x. which function represents the relationship between x and y if y=20/3 when x=30?

Mathematics
1 answer:
joja [24]3 years ago
6 0
If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:
y = mx + b
y = mx
where m is the slope of the line, now we plug in the data we have:
y = mx
20/3 = m(30)
solving for m:
m = (20/3)(1/30)
m = 20/90
m = 2/9
so the line equation, or function modeling the y and x relationship is:
y = (2/9)x
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(24*32)/(2*3)
(768)/(6)
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8 0
3 years ago
Solve the inequality below. Use the drop-down menus to describe the solution and its greah
Solnce55 [7]

Answer:

The solution of the inequality is x ≤ -4. A graph of the solution should have a vertical line passing through x = -4 and be shaded to the left of x = -4

Step-by-step explanation:

-7x + 13 ≥ 41

Subtract 13 from both sides

-7x ≥ 28

Dividing both sides by the -7 changes the inequality sign and we have

x ≤ -4

Hence, the solution of the inequality is x ≤ -4 and the graph of the solution should have a vertical line passing through x = -4 and it should be shaded to the left of x = -4 indicating that only numbers less than or equal to -4 are possible solutions of the inequality.

Hope this Helps!!!

6 0
3 years ago
Translation : 2 left and 4 down
Marizza181 [45]
This is the correct answer to the problem

3 0
4 years ago
Read 2 more answers
chegg evaluate the following integral using trigonometric substitution. dx/square root(x^2-81), x > 9
vesna_86 [32]

Integration will be ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c  .

Given  ∫ 1 dx / ( x^{2} - 81 )

Put ,

x = 9 secθ

dx = 9 secθ tanθ dθ

and

\sqrt{x^{2}  - 9^{2} } = 9 tanθ

Substituting values in  ∫ 1 dx / ( x^{2} - 81 ) ,

∫ (9 secθ tanθ ) dθ / ( 9 tanθ )

∫ secθ dθ = ln | secθ + tanθ | + c

                = ln | ( x /9 ) + ( \sqrt{x^{2}  - 9^{2} } / 9 ) | + c

              = ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c

Hence , the integration will be ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c .

To learn more on integration follow link :

brainly.com/question/20156869

#SPJ4

6 0
2 years ago
© Given that R= 9x + 8y
Phantasy [73]

Answer:

-19/9

Step-by-step explanation:

First, you would plug in the numbers for y and r. Therefore, your equation should now be 5 = 9x + 24. Now you would put like terms on the same side. It now then look like -19 = 9x. You divide by 9 to get the x by itself. The answer should be x = -19/9.

5 0
3 years ago
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