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2 years ago

Compare the domains of the logarithmic function f(x) and the square root function g(x).

Mathematics

1 answer:

Alenkasestr [34]2 years ago

5 0

Answer:

The domain of the function $g(x)$ is greater than the domain of the function $f(x).$

Step-by-step explanation:

The diagram shows the logarithmic function $f(x)$ . The domain of this function is

$x>-3$

The domain of the square root function $g(x)=\sqrt{x+3}+1$ is

$x+3\ge 0\\ \\x\ge -3$

The domain of the function $g(x)$ is greater than the domain of the function $f(x),$ because the set $x\ge -3$ contains the set $x>-3$ ( $(-3,\infty)\subset [-3,\infty)$ ).

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Please answer the following attachment down below.<br><br> I would greatly appreciate it if you did.

zepelin [54]

Answer:

34.63

Step-by-step explanation:

A=a2+2aa2

4+h2=32+2·3·32

4+42≈34.63201

4 0

3 years ago

Find the product of the greatest common divisor and the least common multiple of $100$ and $120.$

dem82 [27]

Answer:

100

Step-by-step explanation:

7 0

2 years ago

QUESTION 1 The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.Assume that the driving

GarryVolchara [31]

Answer:

$P(X>300)$

And we can find this probability with the complement rule:

$P(X>300)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

$X \sim Unif (a=284.7, b=310.6)$

And for this case the probability density function is given by:

$f(x) =\frac{1}{310.6 -284.7} =0.0386 , 284.7 \leq X \leq 310.6$

And the cumulative distribution function is given by:

$F(x) =\frac{x-284.7}{310.6-284.7} , 284.7 \leq X \leq 310.6$

And we want to find this probability:

$P(X>300)$

And we can find this probability with the complement rule:

$P(X>300)= 1-P(X$

6 0

3 years ago

16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

$\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

$\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x$

3 0

3 years ago

What is 2 5/8 x 2/5

elena-14-01-66 [18.8K]

Answer:1 1/20

Step-by-step explanation:

2 5/8 x 2/5

(8x2+5)/8 x 2/5

21/8 x 2/5

(21 x 2) ➗ (8 x 5)

42 ➗ 40

42/40=21/20=1 1/20

4 0

2 years ago