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2 years ago

The functions f and g are defined as follows.

Mathematics

1 answer:

weeeeeb [17]2 years ago

7 0

Answer:

Step-by-step explanation:

Given

f(x) = 2x^2 - 3x

g(x) = -2x + 4

Now

f(-5) = 2 *(-5)^2 - 3*(-5)

= 2 * 25 + 15

= 50 + 15

= 65

Also

g(5) = - 2 * 5 +4

= -10 +4

= - 6

Hope it will help you.

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Calculate the value of 1/3 a = -5

sladkih [1.3K]

Answer:

- 15

Step-by-step explanation:

$\frac{1}{3} a = - 5 \\ \\ a = - 5 \times 3 \\ \\ a = - 15$

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2 years ago

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1 part sugar and 4 parts of water she uses 3/4 cup of sugar

PolarNik [594]

1 part sugar : 4 parts water

3/4 cup of sugar.

1:4 = 3/4 : x
x = 4 * 3/4
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3 years ago

A population has a mean µ = 6 and ∑x = 48. How many scores are in the population?

maks197457 [2]

Answer:

Step-by-step explanation:

Recall the formula for the population mean of a data set:

$\mu=\frac{\sum x}{N}$

We already know that μ is 6 and the sum is 48. Substitute:

$6=\frac{48}{N}$

Divide both sides by 48:

$\frac{1}{8}=\frac{1}{N}$

Reciprocal of both sides:

$N=8$

Thus, there are 8 scores in the population size.

And we're done!

4 0

3 years ago

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A particle moves along a line with acceleration a (t) = -1/(t+2)2 ft/sec2. Find the distance traveled by the particle during the

amm1812

Answer:

$s(t)=(ln|7|+ln|2|)\,ft$

Step-by-step explanation:

Acceleration is second derivative of distance and are related as:

$a(t)=\frac{d^2s}{dt^2}\\\\\frac{d^2s}{dt^2}=\frac{-1}{(t+2)^2}\\$

Integrating both sides w.r.to t

$v(t)=\frac{ds}{dt}=\frac{1}{t+2} +C\\$

Using initial value

$v(0)=\frac{1}{2}\\\\\frac{1}{2}=\frac{1}{0+2} +C\\\\C=0\\\\\frac{ds}{dt}=\frac{1}{t+2}$

We have to calculate the distance covered in time interval [0,5], so:

$\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft$

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3 years ago

What’s the answer to this?

nexus9112 [7]

the answer is 5.10729613...

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3 years ago

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