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2 years ago

N is a whole number such that 6< 3n < 15 List all the possible values of n.

Mathematics

2 answers:

dezoksy [38]2 years ago

8 0

Answer:

n= 3, and n=4

Step-by-step explanation:

whole numbers are : 0,1,2,3,4,5,....

6 < 3n < 15

(3n has to be greater than 6 and less than 15 not including 6 and 15)

for n=3 we have 3n =9

for n=4 we have 3n= 12

Sav [38]2 years ago

7 0

Answer:

3, 4

Step-by-step explanation:

6 < 3n < 15

Divide the three "sides" by 3.

2 < n < 5

n must be between 2 and 5,a nd it must be a whole number.

n can be 3 or 4

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What is the value of the expression below when x<br> 3 and y = 8?<br> 6x + 10y

suter [353]

Answer:

Step-by-step explanation:

So we have the expression:

$6x+10y$

And we want to evaluate it when x is 3 and y is 8.

So, substitute:

$=6(3)+10(8)$

Multiply:

$=18+80$

Add:

$=98$

And we're done!

7 0

3 years ago

Read 2 more answers

Write the equation of a line that passes through the points (−3, 7) and (3, 3)

Dennis_Churaev [7]

Step-by-step explanation:

You can write an equation of a line conveniently by point-slope form. It's in the form of $y -a = m(x -b)$ where $(b,a)$ is the coordinates of a point that's on the line and $m$ is the slope of the line.

Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose $(-3,7)$ where $a = 7$ and $b = -3$

$y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)$

The next thing we have to do now is finding the slope, $m$ , where it's equal to $\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\$ . I'll make $(-3,7)$ point 1 and $(3,3)$ point 2.

$m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}$

Now let's plug that to our equation.

$y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)$

Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.

$y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5$