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Westkost [7]
3 years ago
14

Which set of parametric equations represents the following function y=square root of x+3

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0
The given equation is:

y= \sqrt{x+3}

We have to find, which of the given set of parametric equations given in the options, result in the above equation:

The correct answer would be option A.

The equations in option A are:

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

From first equation we can see that 5t is equal to x. Using the value of 5th in second equation, we get the equation as:

y= \sqrt{x+3}

Therefore, the correct answer is option A
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A number plus twice the number is equal to three times the number
Lina20 [59]
a+2a=3a
3a=3a
The answer is infinetly many solutions.
3 0
3 years ago
Read 2 more answers
Delta makes 12-volt car batteries. These batteries are known to be normally
blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the sample size n =12 -volt car batteries</em>

<em>Let  'X' be a Random variable in a normal distribution</em>

<em>Given that mean of the normal distribution = 45 months</em>

<em>Given that the Standard deviation of the normal distribution = 8months</em>

<u><em>Step(ii):-</em></u>

Let  X₁ = 3 years = 12 × 3 = 36 months

Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125

Let X₂ = 4 years  = 12 × 4 = 48 months

Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375

<u><em>Step(iii)</em></u>:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

                   = P(Z≤0.375) - P(Z≤-1.125)

                   = 0.5 +A(0.375) - (0.5-A(1.125)

                   = 0.5 + 0.1480 - (0.5 -0.3708)

                  = 0.1480 + 0.3708

                 = 0.5188

<u><em>Final answer:-</em></u>

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

<em />

5 0
2 years ago
Casey ordered 4 pizzas.Each one was cut into 6 equal slices.Her father ate 3 slices.What fraction of the pizza was left?Write th
Fittoniya [83]
Total slices=4*6=24. Take away 3 slices leaving 21=18+3=3 pizzas and ½ a pizza, 3½.
3 0
3 years ago
I don’t know how to solve this
V125BC [204]

Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation

3y-7=41

Add 7 to both sides

3y=48

Divide both sides by 3

y=16


Now to find PN.

Based on what we know, we can assume that MP = PN. Let's make some equations!

MP = 17x-8     PN = 11x+4

17x-8 = 11x+4

Subtract 11x from both sides

6x-8 = 4

Add 8 to both sides

6x = 12

Divide by 2

x=2

Substitute 2 in for x in the equation for PN

11(2)+4

Multiply 11 by 2

22+4 = 26

PN = 26

7 0
3 years ago
Order the numbers from least to greatest. 3 63/80 , 3 1/5 , 3 11/20
gregori [183]

Let's compare apples to apples and oranges to oranges: convert each given proper fraction into its decimal counterpart:

3 63/80 => 3 .788 approx.

3 1/5 => 3.2

3 11/20 => 3.55

It's now an easy matter to arrange these numbers from least to greatest:

3.2, 3.55, 3.79, or

3 1/5, 3 11/20, 3 63/80


7 0
3 years ago
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