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3 years ago

1.Lin is tracking the progress of her plant's growth. Today the plant is 5cm high. The plant grows 1.5 cm per day.

2 answers:

4 0

A. the liner model for the plant is for height h, h=5+1.5d.
B. after 20 days the height would be 5 + 1.5*20 or in total 35.

lions [1.4K]3 years ago

3 0

A. y=5+1.5d
b. after 20 days it will be 5+ 1.5 × 20 = 5+ 30= 35 cm

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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,

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Hence, the equation has two irrational solutions.

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