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3 years ago

What is the domain and range of the function?

Mathematics

1 answer:

kodGreya [7K]3 years ago

3 0

Answer:

The correct option is (d)

domain= real numbers and Range= positive real numbers

Step-by-step explanation:

The given function is an exponential function in which the condition on the parameters are as follows-

f(x) = a^x

(1) Base condition is , a>0 and a≠1

(2) Domain = The value of x = x can take any value that is x∈ R

(3) Range = f(x)>0 that is f(x) can take positive values only.

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Answer:

n = -12/23

Step-by-step explanation:

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3 years ago

The lengths of the two sides of a triangle (not necessarily a right triangle) are 1.00 meters and 3.54 meters. The sine of the a

DerKrebs [107]

Answer:

sin B= 0.096288

B = 5.525°

Step-by-step explanation:

Consider ΔABC as shown in figure attached

From figure:

a = 1 m

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sin B = ?

Using the sine rule for non-right-angle triangle

$\\\frac{a}{sin\, A}=\frac{b}{sin\,B}\\\\sin\,B=\frac{b(sin\,A)}{a}\\\\sin\,B=\frac{(3.54)(0.0272)}{1}\\\\sin\,B=0.096288\\\\B= 5.525^o$

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3 years ago

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raketka [301]

Answer:

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Step-by-step explanation:

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3 years ago

We bought five 3 3/4 pound bags of bird seed.

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I only know A sorry.
A-18.75

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3 years ago

find the missing angle and side measures of the triangle. The triangle has one angle that measures 90 degrees, and the other two

Tamiku [17]

Since we know that the measure of one of the angles is 90°, we know that we have a right triangle with legs 1 and $\sqrt{3}$ . Now lets apply the Pythagorean theorem: $hypotenuse= \sqrt{leg^{2}+leg^{2} }$ , to find our hypotenuse:
$h= \sqrt{1^{2}+ \sqrt{3}^{2} }$
$h= \sqrt{1+3}$
$h= \sqrt{4}$
$h=2$

Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call $x$ .
Remember that $sin(x)= \frac{opposite.side}{hypotenuse}$ , so:
$sin(x)= \frac{1}{2}$
$x=sin^{-1} ( \frac{1}{2} )$
$x=30$
Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle $y$ :
$y=180-(90+30)$
$y=180-120$
$y=60$

We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.

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3 years ago