2 years ago

Emma likes running but does not like cycling

Mathematics

1 answer:

Cloud [144]2 years ago

7 0

Nice… running is better for you

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Determine whether the graph of the quadratic function y = –x^2 – 10x + 1 opens upward or downward. Explain.

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C. If the first coefficient is negative, then the graph opens downwards

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Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

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abercrombie & Fitch is having a sale. The sign posted in the store says, "everything is marked down 65%." Scott buys a jacke

nikdorinn [45]

a) We have that the discount is 65 %

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First, we will calculate the discount

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1 year ago

What is the HCF and LCM of 268 and 244

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3 years ago

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Lina20 [59]

Option D: Two irrational solutions

Explanation:

The equation is $17+3 x^{2}=6 x$

Subtracting 6x from both sides, we have,

$3x^{2} -6x+17=0$

Solving the equation using quadratic formula,

$x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}$

Simplifying the expression, we get,

$\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}$

Taking out the common terms and simplifying, we have,

$\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}$

Dividing by 3, we get,

$x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}$

Hence, the equation has two irrational solutions.

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3 years ago