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3 years ago

X -7 < -12 Solve and graph the inequality

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

7 0

$Solution, x-7$

Steps:

$x-7$

$\mathrm{Add\:}7\mathrm{\:to\:both\:sides}, x-7+7$

$Simplify, x$

The correct answer is <u><em>x<-5</em></u>

Hope this helps!!!

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

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Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

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$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

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$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

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Substitute the values in above equation then, we get

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Substitute the values then we get

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3 years ago

The graph shows the amount of a medicine min milligrams, remaining in a patient's body hours after receiving an injection . The

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An exponential function is a function defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>(a) The factor at which the medicine decreased, in 1.5 hour</h3>

From the graph, we have the following ordered pairs

(x,y) = (0,270) and (1.5,80)

Given that:

$y = ab^x$

At point (0,270), we have:

$ab^0=270$

$a= 270$

At point (1.5,80), we have:

$ab^{1.5} = 80$

Substitute 270 for a

$270b^{1.5} = 80$

Divide both sides by 270

$b^{1.5} = 0.2963$

Take 1.5th root of both sides

$b =0.44$

Hence, the medicine decrease in the hour and half at a factor of 0.44

<h3>(b) The factor at which the medicine decreased in the first half hour, and the first hour</h3>

In (a), we have:

The decay factor (b) to be 0.44

This represents the factor at which the medicine decreased throughout.

Hence, the medicine decrease in the first half hour, and the first hour at a factor of 0.44

<h3>(c) The exponential equation</h3>

In (a), we have:

$a= 270$

$b = 0.44$

So, the exponential equation is:

$y =270 * 0.44^x$

In terms of m and h, we have:

$m =270 * 0.44^h$

Hence, the equation relating m to h is $m =270 * 0.44^h$

Read more about exponential equations at:

brainly.com/question/11832081

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