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3 years ago

Plot 5 parabolas, one through each set of color-coordinated points. (image attached)

Mathematics

1 answer:

Ahat [919]3 years ago

8 0

Answer:

Red: y=(x+6)^2-1

Blue: y=-(x+3)^2+1

Green: y=(x^2-1)

Orange: y=-(x-3)^2+1

Purple: y=(x-6)^2-1

Step-by-step explanation:

Use Desmos to check

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Which situation is best represented by the equation y=5x + 10?

OLEGan [10]

Answer:

x=1/5y-2

Step-by-step explanation:

Step 1: Flip the equation

5x+10=y

Step 2: Add -10 to both sides

5x+10+-10=y+-10

5x=y-10

Step 3: Divide both sides by 5.

5x/5 =y-10/5

x=1/5y-2

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3 years ago

A BMW that cost $71,000 in 2003 depreciates in value about 15% a year. How much was it worth in 2013?

N76 [4]

100-15= 85%

2013-2003= 10 years

$71,000 * (0.85^10yrs)= $13,978<span>.</span>08

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3 years ago

What has the same value as 2 3/8

Bad White [126]

Answer:

2.375 has the same value as 2 and 3/8.

8 0

3 years ago

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Consider w=sqrrt2/2(cos(225°) + isin(225°)) and z = 1(cos(60°) + isin(60°)). What is w+ z expressed in rectangular form?

SVETLANKA909090 [29]

Answer:

Option (3)

Step-by-step explanation:

w = $\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]$

Since, cos(225) = cos(180 + 45)

= -cos(45) [Since, cos(180 + θ) = -cosθ]

= - $\frac{\sqrt{2}}{2}$

sin(225) = sin(180 + 45)

= -sin(45)

= - $\frac{\sqrt{2}}{2}$

Therefore, w = $\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]$

= $-\frac{2}{4}(1+i)$

= $-\frac{1}{2}(1+i)$

z = 1[cos(60) + i(sin(60)]

= $[\frac{1}{2}+i(\frac{\sqrt{3}}{2})$

= $\frac{1}{2}(1+i\sqrt{3})$

Now (w + z) = $-\frac{1}{2}(1+i)+\frac{1}{2}(1+i\sqrt{3})$

= $-\frac{1}{2}-\frac{i}{2}+\frac{1}{2}+i\frac{\sqrt{3}}{2}$

= $\frac{(i\sqrt{3}-i)}{2}$

= $\frac{(\sqrt{3}-1)i}{2}$

Therefore, Option (3) will be the correct option.

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3 years ago

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G(x) = x² + 4x-1<br> Solve

Natali5045456 [20]

Answer:

Using the quadratic formula:

x = [-4 +- sqr root (16 - 4 * 1 * -1)] / 2 *1

x = [-4 +- sqr root (20)] / 2

x1 = [-4 + sqr root (20)] / 2

x2 = [-4 - sqr root (20)] / 2

x1 = 0.23607

x2 = -4.2361

Step-by-step explanation:

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3 years ago

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