All categories

3 years ago

(09.06)

Mathematics

1 answer:

Oxana [17]3 years ago

7 0

Answer:

Both f(x) and g(x) have the same output value at x = 5

Step-by-step explanation:

When we are writing a function, while x gives the input value, writings like f(x), g(x) or h(x) will represent the output values of the input value of x

Now, looking at the relation, we are told that the value of f(x) = g(x) at x = 5

What this mean is that at x = 5; the output value of g(x) is the same as the output value of f(x)

Hence, we can conclude that both functions have the same output value at the given input value of x = 5

You might be interested in

What is the inverse of the function? f(x)=3x−1

Hatshy [7]

Answer:

The inverse is 1/3 (x+1)

Step-by-step explanation:

y = 3x-1

Exchange x and y

x = 3y-1

Solve for y

Add 1 to each side

x+1 = 3y-1+1

x+1 = 3y

Divide each side by 3

(x+1)/3 = 3y/3

1/3(x+1) =y

The inverse is 1/3 (x+1)

5 0

2 years ago

Write an equality and then solve it. Sonya is a waitress. She earns $200 a week plus 15% tip in the cost of each meal she serves

Sophie [7]

Answer:

$1666.67

Step-by-step explanation:

$450 is the total amount she earned and $200 is the weekly wage she received. That means that $250 came from tips.

$200 + .15 (x) = 450

.15x=250

x=$1666.67

4 0

3 years ago

Which is bigger 4.953 or 4.951?

LekaFEV [45]

4.953 is bigger compared to 4.951 because 3 is bigger than 1.

Hope this helps!

6 0

3 years ago

A farmer in China discovers a mammal

ivolga24 [154]

Answer:

Step-by-step explanation:

I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:

$71=100e^{-.0001t}$ and begin by dividing both sides by 100 to get

$.71=e^{-.0001t}$ and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:

ln(.71) = -.0001t and we divide to solve for t:

$\frac{ln(.71)}{-.0001}=t$ and

$\frac{-.3424903089}{-.0001}=t$ so

t = 3424.9 years, or rounded, 3425 years.

8 0

2 years ago

Find the area of this shape. The area of the shape is square centimeters.

aniked [119]

Answer:

35 cm

Step-by-step explanation:

To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:

(4+4)*5.75*1/2=23

Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:

2*2*1/2=2

But since there's two identical triangles on either side, we can multiply that by two, which would bring it to 4.

That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:

4*2=8

Now, to find the total area, all you have to do is add up the areas of the different sections:

23+4+8=35 cm

Hope this helps!

7 0

3 years ago