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3 years ago

Please help me.. I can't figure it out

Mathematics

1 answer:

Rudik [331]3 years ago

4 0

-5 • (y - 6) ————— 10

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Ellen had some change in her pocket after her friend gave her $0.45 Ellen had $1.35 altogether which equation can she use to fin

Maru [420]

If you subtract what she has now with the amount her friend gave her, you'll get the equation, here is it below:

$1.35 - $0.45 = $0.90.

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3 years ago

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Show that every perfect square is congruent to 0, 1, or 4 modulo 8

Keith_Richards [23]

You want to prove that

$n^2\equiv k\mod8,k\in\{0,1,4\}$

for (presumably) all integers $n\ge1$ .

Let's consider some sub-cases.

Suppose $n=2\ell-1$ is odd. Then

$n^2=(2\ell-1)^2=4\ell^2-4\ell+1$

If $\ell$ is even, then so is $\ell^2-\ell$ , which means you can write $4\ell^2-4\ell=8m$ for some integer $m$ , and this reduces to $n^2\equiv1\mod8$ .

If $\ell$ is odd, the same thing happens; you get that $\ell^2-\ell$ is still even, so $4\ell^2-4\ell\equiv0\mod8$ and you're left again with $n^2\equiv1\mod8$ .

Now assume $n=2\ell$ is even. Then $n^2=4\ell^2$ . If $\ell=2j$ is even, then you will always be able to write

$n^2=(2\ell)^2=4\ell^2=4(2j)^2=8\times2j^2\equiv0\mod8$

Meanwhile, if $\ell=2j-1$ is odd, then

$n^2=4\ell^2=4(2j-1)^2=16j^2-16j+4\equiv4\mod8$

So you conclude that

$n^2\equiv\begin{cases}0\mod8&\text{for }n\in\{4,8,12,16,\ldots\}\\1\mod8&\text{for }n\in\{1,3,5,7,\ldots\}\\4\mod8&\text{for }n\in\{2,6,10,14,\ldots\}\end{cases}$

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3 years ago

The salespeople at a local car dealership are paid a commission based on the profit earned from each car they sell. If the profi

Ahat [919]

Hi !

In this case, C is a piecewise linear function :

$C : p \mapsto \begin{cases}
0.15p \text{ if } p \ \textless \ 900 \\
0.17p \text{ if } 900 \leq p \ \textless \ 1,500\\
0.21p \text{ if } p \geq 1,500
\end{cases}$

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3 years ago

If y=3x+5 ,What is the value of y when x=12

ANEK [815]

Hi!
You're answer is 44.
Hope this helps.

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3 years ago

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Which equation represents the line with slope 1/4 that passes through (-4, 8)?

RoseWind [281]

Answer

B DID THE TEST

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

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3 years ago