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Alex
3 years ago
8

Which value is a solution to the inequality 9 – y >12?

Mathematics
2 answers:
nevsk [136]3 years ago
7 0

Answer:

B

Step-by-step explanation:

solving the inequality

9 - y > 12 ( subtract 9 from both sides )

- y > 3 ( multiply both sides by - 1 )

Remembering to reverse the inequality symbol when multiplying/ dividing by a negative quantity

y < - 3 ← reverse symbol

Thus y is less than or equal to - 3

The only value from the list which makes this true is - 6 → B


Lubov Fominskaja [6]3 years ago
4 0
Answer:
-3
see explanation:
9-y>12

-y>12-9

-y>3

y<-3



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Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do
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Answer:

y = \frac{1}{3}x + 5

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:  m = - \frac{1}{m_{2} }, or equivalently, m_{1} * m_{2} = -1.

Given our linear equation  3x + y = 3  (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is \frac{1}{3}.

To test whether this is correct, we can take first slope,  m_{1} = -3,  and multiply it with the negative reciprocal slope m_{2} = \frac{1}{3} :

m_{1} * m_{2} = -1

-3 * \frac{1}{3}  = -1

Therefore, we came up with the correct slope for the other line, which is  \frac{1}{3}.

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

y = \frac{1}{3}x + 5

7 0
3 years ago
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77julia77 [94]

Answer:

<u><em>Question 1:</em></u>

The smallest 5-digit no. is <u><em>10,000</em></u>

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<u><em>Question 2:</em></u>

The prime factors of 1729 are:

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The relation between their 2 consecutive prime factor is that when they both are subtracted, they give the result 6

<u><em>Such as :</em></u>

=> 13-7 = 6

=> 19-13 = 6

Hope this helps!

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