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3 years ago

What is f(x)=14−0.5x? solve for f(30)

1 answer:

3 0

The function f(x) is a function of the variable x.

To solve the function for x = 30, just plug in 30 for x.

14 - 0.5(30) = -1

f(30) = -1

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Answer:

20% Increase

Step-by-step explanation:

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4 years ago

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Find the area bounded by the given curves: <br> y=2x−x2,y=2x−4

Andrej [43]

Answer:

$A = [\frac{32}{3}]$

Step-by-step explanation:

Given

$y_1 = 2x - x^2$

$y_2 = 2x - 4$

Required

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First, we need to determine their points of intersection

$2x - x^2 = 2x - 4$

Subtract 2x from both sides

$-x^2 = -4$

Multiply through by -1

$x^2 = 4$

Take square root of both sides

$x = 2$ or $x = -2$

This Area is then calculated as thus

$A = \int\limits^a_b {[y_1 - y_2]} \, dx$

<em>Where a = 2 and b = -2</em>

Substitute values for $y_1$ and $y_2$

$A = \int\limits^a_b {(2x - x^2) - (2x - 4)} \, dx$

Open Brackets

$A = \int\limits^a_b {2x - x^2 - 2x + 4} \, dx$

Collect Like Terms

$A = \int\limits^a_b {2x - 2x- x^2 + 4} \, dx$

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Integrate

$A = [-\frac{x^{3}}{3} +4x](2,-2)$

$A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)]$

$A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8]$

$A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8]$

$A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}]$

$A = [\frac{16}{3}] - [\frac{-16}{3}]$

$A = [\frac{16}{3}] + [\frac{16}{3}]$

$A = [\frac{16 + 16}{3}]$

$A = [\frac{32}{3}]$

Hence, the Area is:

$A = [\frac{32}{3}]$

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4 years ago

Choose a system and make a case for why you would

Elenna [48]

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.

Step-by-step explanation:

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3 years ago

Kamala gave rs 1,50,000 to her friend.She gave currency notes of denomination Rs. 50,Rs.100,Rs.500 in the ratio 4:3:5.How many n

vivado [14]

Answer

Find out the how many notes of each denomination did she give .

To prove

Let us assume that x be the scalar multiplication of the Rs 50, Rs100,Rs500 curreny notes.

As given

Kamala gave Rs 1,50,000 to her friend.

She gave currency notes of denomination Rs. 50,Rs.100,Rs.500 in the ratio 4:3:5.

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than the equation becomes

4x + 3x + 5x = 150000

12x = 150000

$x = \frac{150000}{12}$

x = 12500

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Rs50 currency note gave in the denomination = 4 × 12500

= 50000

Rs100 currency note gave in the denomination = 3 × 12500

= 37500

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= 62500

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Answer:

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