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2 years ago

What is the line symmetry for a parabola whose equation is y=2x^2-4x+1

Mathematics

1 answer:

kompoz [17]2 years ago

3 0

Hello,

y=2x²-4x+1
==>y=2(x²-2x+1-1)+1
==>y=2(x-1)²-1

The line symmetry is x=1

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Find the future value of the annuity due for $200 deposited at the beginning of each quarter for 12 years at 7% compounded quart

dimulka [17.4K]

200*(107%)^x

x is the number of quarters that passed.
each year has 4 quarters, so 12 yaers would have: 12*4 = 48 quarters

200*(107%)^48 = 5146

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3 years ago

Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model

Varvara68 [4.7K]

Answer:

$Amber = 0$

$Grace = 0.60$

$Marsha =1.70$

Step-by-step explanation:

Given

<em>Decimal Grid = Hundredths</em>

$Amber = None$

$Grace = \frac{3}{5}th$

$Marsha = 1 + \frac{7}{10}th$

To solve for each:

We have:

For Amber:

$Amber = 0 * 100$

$Amber = 0$

For Grace:

$Grace = \frac{3}{5}th$

$Grace = \frac{3}{5} * 100$

$Grace = \frac{300}{5}$

$Grace = 60$

This means that Grace shaded 60 of the hundredth models.

Decimal shaded is:

$Grace = 60 * \frac{1}{100}$

$Grace =\frac{60}{100}$

$Grace = 0.60$

For Marsha:

$Marsha = 1 + \frac{7}{10}th$

$Marsha = \frac{10 + 7}{10}th$

$Marsha = \frac{17}{10}th$

$Marsha = 1.7th$

Multiply this by 100, to get the number of shaded

$Marsha = 1.7 * 100$

$Marsha = 170$

This means that Marsha shaded 170 of the hundredth models.

Decimal shaded is:

$Marsha = \frac{170}{100}$

$Marsha =1.70$

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3 years ago

Please help! This assignment is due soon! (In The photo)

eimsori [14]

Answer

Elena must have substracted 1/2x from both sides of the equation.

Lin must have multiplied both sides of the equation by 2

Explanation

The equation given is

$\frac{1}{2}x+3=\frac{7}{2}x+5$

For Elena to have arrived at

$3=\frac{7}{2}x-\frac{1}{2}x+5$

Then Elena must have substracted 1/2x from both sides of the equation.

That is;

$\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Substracting }\frac{1}{2}x\text{ from both sides of the equation will give Elena first step} \\ \frac{1}{2}x+3-\frac{1}{2}x=\frac{7}{2}x+5-\frac{1}{2}x \\ 3=\frac{7}{2}x-\frac{1}{2}x+5 \end{gathered}$

For Lin to have arrived at

$x+6=7x+10$

It shows Lin must have multiplied both sides of the equation by 2

That is;

$\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Multiply both sides of the equation by the lowest common mutiple } \\ \text{of the denominator which is 2.} \\ \frac{1}{2}x(2)+3(2)=\frac{7}{2}x(2)+5(2) \\ x+6=7x+10 \end{gathered}$

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1 year ago

The lenght of a rectangle is 4 meters more than twice the width. Find the greatest possible value for the width if the perimeter

djyliett [7]

2(L + W) < = P
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2(2W+4 + W) = 38
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3 years ago

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choli [55]

Answer: -10x (5x^3 - 8x^2 - 3x - 9) is the factored solution.

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3 years ago

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