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Maurinko [17]
3 years ago
9

Let f(x) = 4x - 3 and h(x) = -5x + 7 . F(-3) + h(2)

Mathematics
1 answer:
zheka24 [161]3 years ago
5 0
F(-3) = -12 - 3 = -15
h(2) = -10 + 7 = -3

-15 + (-3)

-18
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Simplify the expression.<br>13[6^2/(5^2-4^2)+9]<br><br> 181<br><br> 169<br><br> 26<br><br> 585
Zina [86]
So 5^2 -4^2 is 25-16 which is 9
6^2/9 is 36/9 which is 4 +9 is 13
13(13) is 169
7 0
3 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
What does 4×0.2=? equal 15 POINTS
zlopas [31]
<span>What does 4×0.2 = ?
</span>
The answer is 0.8
6 0
3 years ago
Read 2 more answers
Can someone help me with these 2 please thank you :)
Reika [66]

Answer:

11. -0.250

12. 0

3 0
3 years ago
Write the prime factorization of 500 in index form.
makvit [3.9K]

Answer:

2^{2} × 5^{3}

Step-by-step explanation:

500

= 2 x 250

= 2 x 10 x 25

= 2 x 2 x 5 x 5 x 5

= 2^{2} × 5^{3}

8 0
3 years ago
Read 2 more answers
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