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EastWind [94]
2 years ago
11

If f(x)= x^1/2 - x and g(x)= 2x^3 - x^1/2 - x, find f(x) - g(x)

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0

Answer:

-2x^3+2x^{1/2}

Step-by-step explanation:

First, you have to substitute both functions into the equation to get:

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

Then, you distribute the negative sign in front of g(x) to get:

= x^{1/2} - x -2x^3+x^{1/2}+x

And finally, you add/subtract the x's that have the same power to get:

=-2x^3+2x^{1/2}

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What is 50% of the sum of the first 10 odd numbers
avanturin [10]

Answer:

50

Step-by-step explanation:

1+3+5+7+9+11+13+15+17+19= 100/2= 50

7 0
3 years ago
Solve for p and simplify
nadezda [96]

Answer:

8

Step-by-step explanation:

-\dfrac{1}{2} + p = \dfrac{5}{8}

Add 1/2 to both sides.

-\dfrac{1}{2} + p + \dfrac{1}{2} = \dfrac{5}{8} + \dfrac{1}{2}

p = \dfrac{5}{8} + \dfrac{4}{8}

p = \dfrac{9}{8}

7 0
3 years ago
Read 2 more answers
hannah is making maffins. The recipe calls for 5/8 cup of milk to make 20 muffins. What is the unit rate for cups of milk per mu
STALIN [3.7K]

Answer:

32 muffins

Step-by-step explanation:

one cup of milk will make 32 muffins

you can set up a proportion of milk/muffins = milk/muffins

let 'x' = number of muffins made from one cup of milk

5/8 ÷ 20 = 1 ÷ x

cross-multiply to get 5x = 20(8)

5x = 160

x = 32

6 0
2 years ago
Complete the equation describing how x and y are related.<br> Please need help!!!
yKpoI14uk [10]

Answer:

3

Step-by-step explanation:

The equation being used to express the answer is called slope-intercept form.

y = m x + b

m is the slope, b is the y-intercept (where x = 0)

The formula to find slope (m) using two points is called point slope form.

m = (y1 - y2)/(x1 - x2)

Pick two coordinates and plug them in.

m = (1 - 4)/(0 - 1)

m = (-3/-1)

m = 3

5 0
3 years ago
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A person runs 1/8 mile in 1/64 hour.<br> The person's speed is (BLANK) miles per hour.
snow_tiger [21]

Answer: The person's speed is 8 miles per hour.

Step-by-step explanation:

To solve we want to convert the \frac{1}{8} and \frac{1}{64} proportionally for the number of miles per hour. We know that multiplying a fraction by its reciprocal will equal 1. So let's do that for the value of the hour.

\frac{1}{64}×\frac{64}{1} =\frac{64}{64} =1

Since we multiplied that to the number of hours we must also do that for the number of miles.

\frac{1}{8}×\frac{64}{1} =\frac{64}{8} =8

7 0
2 years ago
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