Determine which ordered pair is a solution of Y=2x+7

Mathematics

2 answers:

fiasKO [112]3 years ago

7 0

The answer is a. (-4, -1).

beks73 [17]3 years ago

3 0

Each ordered pair represents (x,y), so to find the correct answer simply plug in the values of x and y into the formula and see if the equation holds.

Try (-4, -1):
$y=2x+7$
$-1=2(-4) + 7$
$-1 = -8+7$
$-1=-1$ → and that is true, so option (a) is the answer.

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adoni [48]

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What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio

aalyn [17]

Answer:

StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}$

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

1/a^b = a^-b

(a^b)^c = a^(bc)

So the expression simplifies as ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}$