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MrMuchimi
3 years ago
7

PLEASE HELP!!!!!!!!!​

Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

answer is x=14.4.......,......

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A high school football team played nine games. It won as many as it lost. How many games did the team lose
stiks02 [169]

Answer:

4.5

Step-by-step explanation:

They must have tied one game since it is a odd number.

8 0
3 years ago
The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar
jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

Step-by-step explanation:

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

<em>Given that the width of the rectangle  = (x+1) feet</em>

<em>Given that the length of the rectangle = ( x-6) feet</em>

<em>The area of the rectangle = 30 square feet</em>

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

We know that the area of the rectangle

                = length ×width

    30   = ( x+1)(x-6)

    30   = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

 x² - 9 x +4x - 36 =0

   x (x-9) +4 ( x-9) =0

   ( x+4 ) ( x-9) =0

     ( x+4 ) =0 and  ( x-9) =0

     x =-4 and x =9

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

we have to choose x =9

     The length of the rectangle (l) =  x-6 = 9-6 =3

      The width of the rectangle (W) =  x+1 =  9 +1 = 10

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

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

5 0
3 years ago
Use logarithmic differentiation to find the derivative of the function. y = sqrt(x)e^x^2(x^2 + 5)^12
padilas [110]

y=\sqrt x\,e^{x^2}(x^2+5)^{12}=x^{1/2}e^{x^2}(x^2+5)^{1/2}

Take the logarithm of both sides and expand the right hand side:

\ln y=\ln\left(x^{1/2}e^{x^2}(x^2+5)^{1/2}\right)

\ln y=\ln x^{1/2}+\ln e^{x^2}+\ln(x^2+5)^{12}

\ln y=\dfrac12\ln x+x^2\ln e+12\ln(x^2+5)

\ln y=\dfrac12\ln x+x^2+12\ln(x^2+5)

Now take the derivative of both sides with respect to x:

\dfrac1y\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}

\dfrac{\mathrm dy}{\mathrm dx}=\left(\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}\right)y

\dfrac{\mathrm dy}{\mathrm dx}=\left(\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}\right)\sqrt x\,e^{x^2}(x^2+5)^{12}

I'd stop there, but you could condense the right side a bit to get

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x^4+21x^2+48x+5}{2x(x^2+5)}\sqrt x\,e^{x^2}(x^2+5)^{12}

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x^4+21x^2+48x+5}{2\sqrt x}e^{x^2}(x^2+5)^{11}

8 0
4 years ago
Issac tosses a quarter off of a bridge, creating the shape of a parabola. The parabola can be represented by the equation h=-16t
Wittaler [7]

Answer:

c) 18 units

d) 1 second

Step-by-step explanation:

h = -16t² - 4t + 20

c) t = 0.25

h = -16(0.25)² - 4(0.25) + 20

h = 18

d) -16t² - 4t + 20 = 0

4t² + t - 5 = 0

4t² + 5t - 4t - 5 = 0

t(4t + 5) - (4t + 5) = 9

(4t + 5)(t - 1) = 0

t = -1.25, 1

t = 1 second

5 0
3 years ago
Can someone solve this equation for me?<br><br> <img src="https://tex.z-dn.net/?f=f%28x%29%3D%281-0.08%29%5E%7B%28%5Cfrac%7B1%7D
Step2247 [10]

Answer:

$\frac{4\cdot\left(5^2\right)^5\left(-20\right)^3\left(-8\ right)^{-6}}{5^{-3}\cdot\:25^3\ ... 3(−8) −65 −3· 25 3(( −5) −2) −4 =−251024 ( Decimal : −0.0244140625) .

7 0
3 years ago
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