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Makovka662 [10]
2 years ago
7

The sum of y and the difference of 9 and j as an expression​

Mathematics
1 answer:
-BARSIC- [3]2 years ago
4 0

Answer: I think it would be Y+(9-j)

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An item is regularly priced at $83. It is now priced at a discount of 55% off the regular price.
mart [117]

Answer:

$45.65 total

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A gift box is 10 inches long and 6 inches wide. It is 3 inches tall. What is the volume of the box? PLEASE SHOW YOUR WORK!
ruslelena [56]

Answer:

180 in

Step-by-step explanation:

10*6*3=180

4 0
3 years ago
PLEASE HELP FAST!!
sertanlavr [38]

Answer:

104

Step-by-step explanation:

15 x 14= 210 divide by 2

105

180 - 105 = 75

15 + 14 + 75 = 104

5 0
2 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
Write an equation in slope-intercept form for the line passing through the pair of points.
damaskus [11]

Answer:

<h2>A) y= -x + 1</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line<em>:</em>

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

==========================================

We have the points (-1, 2) and (4, -3).

Calculate the slope:

m=\dfrac{-3-2}{4-(-1)}=\dfrac{-5}{5}=-1

Put the value of the slope an the coordinates of the point 9-1, 2) to the equation of a line:

2=(-1)(-1)+b

2=1+b              <em>subtract 1 from both sides</em>

1=b\to b=1

Finally:

y=-x+1

7 0
3 years ago
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