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IrinaK [193]
3 years ago
14

If f(x) = x1/2 and g(x)= 2x^3 - x1/2 - x, find f(x)-g(x)

Mathematics
1 answer:
shusha [124]3 years ago
8 0

Answer: D- f(x) - g(x) = -2x^{3} + 2x^{1/2}

Step-by-step explanation:

f(x) - g(x) = (x^{1/2} - x) - (2x^{3} - x^{1/2} - x)

f(x) - g(x) = x^{1/2} - x - 2x^{3} + x^{1/2} + x - distribute negative sign

f(x) - g(x) = -2x^{3} + 2x^{1/2} - combine like terms ( -x & +x cancel out)

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Which of the following is a which of the following is a rational number?
Nastasia [14]

Answer:

A. √25

General Formulas and Concepts:

<u>Math</u>

  • Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
  • Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction

Step-by-step explanation:

<u>Step 1: Define</u>

A. √25

B. √123

C. √20

D. π

<u>Step 2: Identify</u>

A. √25 = 5; Rational

B. √123 ≈ 11.0905...; Irrational

C. √20 = 2√5 ≈ 4.47214...; Irrational

D. π ≈ 3.1415926535897932384626433832795...; Irrational

Therefore, our answer choice is A.

5 0
2 years ago
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5 0
2 years ago
Someone help!!! What is 4/5+7/8
noname [10]
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5 0
2 years ago
Read 2 more answers
PLEASE HELP ME<br><br> but only answer if you're gonna show work thank you!!
rosijanka [135]
The factors of the given expression are x , x - 2 and x - 4

V(x)= x^{3}-  6x^{2}+8x \\  \\ &#10;V(x)=x( x^{2} -6x+8) \\  \\ &#10;V(x)=x( x^{2} -2x-4x+8) \\  \\ &#10;V(x)=x[x(x-2)-4(x-2)] \\  \\ &#10;V(x)=x(x-2)(x-4)

So the expression for height and length are x and x - 4
3 0
3 years ago
A small jet can fly
Lostsunrise [7]

Answer:

The speed of the jet in still air is 260 miles per hour.

Step-by-step explanation:

Given that a small jet can fly 858 miles in 3 hours with a tailwind but only 702 miles in 3 hours into a headwind, to find the speed of the jet in still air the following calculation must be performed:

858/3 = 286

702/3 = 234

(286 - 234) / 2 = X

52/2 = X

26 = X

286 - 26 = 234 + 26

260 = 260

Therefore, the speed of the jet in still air is 260 miles per hour.

7 0
2 years ago
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