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nikitadnepr [17]

2 years ago

6

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of mc006-1.jpg?

1 answer:

jeka942 years ago

8 0

Answer:

b. all real values of x except x = 5

Step-by-step explanation:

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I am so confused i need help

Delicious77 [7]

I believe The answer is B 40

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2 years ago

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The equation d=4 -1/15t represents your distance from home,d, for each minute you walk,t. If you graphed this equation, determin

Jobisdone [24]

When you graph an equation, it should be dependent variable against the independent variable. For this problem, the independent variable is the time, so this is along the x-axis. The dependent variable is d, so this is along the y-axis. Since the slope is Δy/Δx, then it is also equivalent to Δd/Δt. Therefore, the answer is B.

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2 years ago

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You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

2 years ago

Change the decimal into a %:0.7

Tomtit [17]

Simply multiply 0.7 by 100. 0.7 x 100= 70%. The answer is 70%

8 0

2 years ago

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Find the vertex I’d this parabola y=-2x^2-4x+4

mamaluj [8]

Answer:

(-1, 6)

Step-by-step explanation:

A graphing calculator shows the vertex to be (x, y) = (-1, 6).

__

You can also find it by putting the equation into vertex form.

y = -2(x^2 +2x) +4

y = -2(x^2 +2x +1) +4 +2(1) . . . . . add 1 inside parens; the opposite outside

y = -2(x +1)^2 +6

Compare to ...

y = a(x -h)^2 +k

and you see a=-2, h=-1, k=6

The vertex is (h, k) = (-1, 6).

5 0

2 years ago