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3 years ago

HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

6 0

The first term, f(1) = 4, to find the second term,

which is f(2-1) = f(1) = 4, so second term, f(2) = 4+5

hence 9, to find the terd term,

which is f(3-1) = f(2) = 9, so terd term, f(3) = 9+5

hence 14, so common difference is 5.

12 term is 59.

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Read 2 more answers

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3 years ago

Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2

Arturiano [62]

$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
x=0 \\ \\
2(0)+y=5 \\
y=5$

If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.

The answer is C.

Here's the correct solution:
$2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
(x,y)=(4,-3)$

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3 years ago