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guajiro [1.7K]
3 years ago
6

Match each item with the correct unit price. PLEASE HELP MATH QUESTION

Mathematics
1 answer:
zmey [24]3 years ago
8 0

Answer:

Step-by-step explanation:

1). 2\frac{1}{2} for one dollar.

  Unit rate = \frac{1}{2.5}

                  = $0.40

                  ≈ 40 cents each

2). $3.8 for 6

  Unit rate = \frac{3.8}{6}

                  = $0.63

                  ≈ 63 cents each

3). 20 for $1.56                

  Unit rate = \frac{1.56}{20}

                  = $0.078

                  = 7.8 cents each

4). 1\frac{1}{2} for $1.58

   Unit rate = \frac{1.58}{1.5}

                  = $1.05 for each

5). 5 at $3.90

   Unit rate = \frac{3.90}{5}

                   = $.78

                   ≈ 78 cents for each

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Given f(x)=x2, g(x)=x+6, h(x)=7 find f{g[h(x)]}.
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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
2 years ago
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