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svp [43]
3 years ago
14

Which set of parametric equations represents the following function? y=/x+3?

Mathematics
2 answers:
uranmaximum [27]3 years ago
8 0

Finding Parametric Equations Quiz

1. Which set of parametric equations represents the following function? y=√x+3

A. x(t) = 5t

    y(t) = √5t+3

2. Identify the parametric equations that represent the same path as the following parametric equations. Select all that apply. x(t)=t   y(t)=3t²-4

A. x(t) = 2t

    y(t) = 12t² - 4

B. x(t) = -t

    y(t) = 3t² - 4

3. (Your question)

C. x(t) = 2cos4t

    y(t) = sin6t

Read more on Brainly.com - brainly.com/question/10183029#readmore

Darina [25.2K]3 years ago
4 0
The given equation is:

y= \sqrt{x+3}

We need to find which set of parametric equations, result in the equation given above. The correct answer is option A.

x=5t, y= \sqrt{5t+3}

From first equation, we can write t =x/5. Using this value in second equation, we get:

y= \sqrt{5( \frac{x}{5} )+3}  \\  \\ 
y= \sqrt{x+3}

Thus the set of equations in option A result in the given relation.
So, the answer to this question is option A
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STatiana [176]

Let us say that:<span>
   P = present value
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   n = period

P = F / [ (1 + i ) ^n ]
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P = 187293.65

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5 0
3 years ago
The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius
Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0
3 years ago
Find all the real fourth roots of 0.0001.
Amiraneli [1.4K]
4th root is even so there can be negative solutions.
0.0001
0.001 * 0.1
0.01 * 0.1 * 0.1
0.1 * 0.1 *0.1 * 0.1

4th root (0.0001) = 0.1 or -0.1
6 0
3 years ago
Which equation graphs as a vertical line with an undefined slope? A) y = 3x B) x = 2 3 C) y = 2 3 D) y = − 2 3 x + 1
kenny6666 [7]

Answer:

<h2>B) x = 2/3</h2>

Step-by-step explanation:

y = a - horizontal line   (a - any real number) - slope = 0

x = a - vertical line   (a - any real number) - undefined slope

y = mx + b - diagonal line (m - any real number except 0, b - any real number) - m - slope

3 0
3 years ago
OPTIONS:
kondor19780726 [428]

You have to combine like terms (terms that have the same variable(x,y....) and power/exponent)²³

(4x³ - 4 + 7x) - (2x³ - x - 8)        Distribute -1 into (2x³ - x - 8)

(4x³ - 4 + 7x) + (-)2x³ - (-)x - (-)8   (two negative signs cancel each other out and become positive)

(4x³ - 4 + 7x) - 2x³ + x + 8    Now combine like terms

4x³ - 2x³ + 7x + x - 4 + 8     (I rearranged for the like terms to be next to each other)

2x³ + 8x + 4       It is equivalent to B

(-3x^2+x^4+x)+(2x^4-7+4x)       Combine like terms

-3x^2+x^4+2x^4+x+4x-7    (I rearranged for the like terms to be next to each other)

-3x^2+3x^4+5x-7    It is equivalent to D

(x² - 2x)(2x + 3)      Distribute x² into (2x + 3) and distribute -2x into (2x + 3)

(x²)2x + (x²)3 + (-2x)2x + (-2x)3

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together

2x³ + 3x² - 4x² - 6x      Combine like terms

2x³ - x² - 6x         It is equivalent to A

[Info]

When you multiply a variable with an exponent by a variable with an exponent, you add the exponents together. (You can combine the exponents only if they have the same variable)

For example:

x^{2} (x^3)=x^{(2+3)}=x^5

(y^3)x^2=y^3x^2         (You can't combine them because they have different exponents of y and x)

(5^2)(5^4)=5^{(2+4)}=5^6=15,625

7 0
3 years ago
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