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Zanzabum
3 years ago
8

Which graph represents the parametric equations x = 3t and y = One-halft3 – 1, where –2 ≤ t ≤ 3?

Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

D

Step-by-step explanation:

EDG 2021

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3 more than a number then divided the result by 8
ziro4ka [17]

We are given statement : 3 more than a number then divided the result by 8.

We need to write an algebraic expression for it.

Let us assume unknown number be n.

3 more than n = (n+3).

Now, we need to divide that result (n+3) by 8.

So, we would get (n+3) divided by 8 = \frac{n+3}{8}.

<h3>Therefore, final expression is \frac{n+3}{8}.</h3>
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4 years ago
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Restrictions for 9/2x, 5x/8
brilliants [131]

Answer: hummmm let me think it is 14x    40x

Step-by-step explanation:

8 0
3 years ago
Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
Mamont248 [21]

Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

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

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

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

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

4 0
3 years ago
The number of fans who attended a softball game increased from 1,200 for the first game to 1,500 for the second game. How many f
erma4kov [3.2K]
1875 fans will attend
6 0
3 years ago
Explain how you would graph the line containing a slope of-1/5 that goes through the point (1,-4)​
madam [21]

Answer:

y= -1/5x + 1/5

Step-by-step explanation:

y- y1 = m(x - x1)

Slope m=-1/5

(1, -4)

1 = y1

-4 = x1

y- 1 = -1/5(x-(-4))

y-1 = -1/5(x+4)

y-1= -1/5(x)+ -1/5(4)

y-1 = -1/5x + -4/5

add one to both sides

y= -1/5x + -4/5 + 1

y = -1/5x + 1/5

8 0
4 years ago
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