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vichka [17]
2 years ago
15

the sum of three consecutive integers is three times the second integer. show that this is true for the three consecutive intege

rs 7,8 and 9
Mathematics
1 answer:
sdas [7]2 years ago
3 0

Step-by-step explanation:

7+8+9=24

second integer is 8 so 8*3=24

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If x=1, y=4(1)+8 = 12

If x=5, y=28

and so on</span>
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Evaluate x=2<br> F(x)=2x+4
oee [108]
X=2
F(x)=2(2)+4
f(x)=8
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What are the vertices of the resulting image A’B’C’D’E after rotating the figure 90 degrees about the origin?
igor_vitrenko [27]

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3 years ago
Read 2 more answers
Please help me in this questions....​
Ivahew [28]

Part (i)

I'm going to use the notation T(n) instead of T_n

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

<h3>Answers: -1, -4</h3>

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

Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

<h3>Answer:  21st term</h3>

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

Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

<h3>Answer: 8</h3>
4 0
3 years ago
Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.
lys-0071 [83]
          f(x) = x² - 8x + 3
             y = x² - 8x + 3
           - 3                - 3
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y - 3 + 16 = x² - 8x + 16
     y + 13 = x² - 8x + 16
     y + 13 = (x - 4)²
         - 13      - 13
             y = (x - 4)² - 13
          f(x) = (x - 4)² - 13
8 0
2 years ago
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