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worty [1.4K]
3 years ago
8

The product of -3 and a number is less than or equal to -15

Mathematics
1 answer:
Alex777 [14]3 years ago
8 0
It can be 5, because 5 times -3 = -15
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Find an equation for the line with the given properties. Perpendicular to the line x - 6y = 8; containing the point (4,4) O 1) y
Pepsi [2]

Answer:

Option 3 - y=-6x+28

Step-by-step explanation:

Given : Perpendicular to the line x - 6y = 8; containing the point (4,4).

To Find : An equation for the line with the given properties ?

Solution :

We know that,

When two lines are perpendicular then slope of one equation is negative reciprocal of another equation.

Slope of the equation x - 6y = 8

Converting into slope form y=mx+c,

Where m is the slope.

y=\frac{x-8}{6}

y=\frac{x}{6}-\frac{8}{6}

The slope of the equation is m=\frac{1}{6}

The slope of the perpendicular equation is m_1=-\frac{1}{m}

The required slope is m_1=-\frac{1}{\frac{1}{6}}

m_1=-6

The required equation is y=-6x+c

Substitute point (x,y)=(4,4)

4=-6(4)+c

4=-24+c

c=28

Substitute back in equation,

y=-6x+28

Therefore, The required equation for the line is y=-6x+28

So, Option 3 is correct.

8 0
3 years ago
3. Calculate the following- show all working out<br>a)7/8 of R60,00​
bagirrra123 [75]

Answer:

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Step-by-step explanation:

a. 7/8 of 60,00

a \frac{7}{8} * 60,00

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Afina-wow [57]
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3 years ago
Prove that the set of all odd positive integers is countable.
zloy xaker [14]

Answer:

See below.

Step-by-step explanation:

The set of  all positive integers N is countable so we need to show that there is a 1 to 1 correspondence between the elements in N  with the set of all odd positive integers. This is the case as shown below:

1 2 3 4 5 6 ...

|  |  |   |   |  | ....

1 3 5 7 9 11....

5 0
4 years ago
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