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4 years ago

What is value of x in the equation(x+ 4)^5 =3125

2 answers:

7 0

(x + 4)^5 = 3125
(x + 4)(x + 4)(x + 4)(x + 4)(x + 4) = 3125
(x² + 4x + 4x + 16)(x² + 4x + 4x + 16)(x + 4) = 3125
(x² + 8x + 16)(x² + 8x + 16)(x + 4) = 3125
(x^4 + 8x³ + 16x² + 8x³ + 64x + 128x + 16x² + 128x + 256)(x + 4) = 3125
(x^4 + 8x³ + 8x³ + 16x² + 16x² + 64x + 128x + 128x + 256)(x + 4) = 3125
(x^4 + 16x³ + 32x² + 320x + 256)(x + 4) = 3125
x^5 + 4x^4 + 16x^4 + 64x³ + 32x³ + 128x² + 320x² + 1280x + 256x + 1024 = 3125
x^5 + 20x^4 + 96x³ + 448x² + 1536x + 1024 = 3125
<u>   -1024   -1024</u>
      x^5 + 20x^4 + 96x³ + 448x² + 1536x = 2101
   x = 1

olga_2 [115]4 years ago

5 0

(X+4)^5=3125
Use distributive property for x and 5 and 4 and 5 to get
5x+20=3125
Then subtract 20 from both sides to get
5x=3105
Then divide both sides by 5 to get
X= 621

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Find the x and y intercepts <br> 4x-5y=40

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Answer:

x intercept

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$x = 0 \\ 4(0) - 5y = 40 \\ - 5y = 40 \\ y = - 8$

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4 years ago

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3 years ago

What is the solution set to 6x – 12 > 30?

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Answer:

Inequality Form:

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Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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3 years ago

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3 years ago

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height above ocean measured in f

lbvjy [14]

Answer:

480 feet.

Step-by-step explanation:

We are told that the function $h(t)=-16t^2+16t+480$ models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.

To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.

Upon substituting t=0 in our function we will get,

$h(0)=-16(0)^2+16*0+480$

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$h(0)=480$

Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.

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3 years ago