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3 years ago

What is the answer to tue eqation 3x+5y+10-2x

1 answer:

6 0

First of all, this is an expression, since it is not set equal to anything; therefore, you can't solve it.
However, you can simplify it.
The simplified expression would be

x+5y+10

Hope this helps!

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Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th

DanielleElmas [232]

Answer:

$g^{-1}(x)=f(x)=e^{\frac{x}{3}}$

Step-by-step explanation:

We have been given two functions as $g(x)=\text{ln}(x^3)$ and $f(x)=e^{\frac{x}{3}}$ . We are asked to show that both functions are inverse of each other algebraically and graphically.

Let us find inverse function of $g(x)=\text{ln}(x^3)$ as:

$y=\text{ln}(x^3)$

Interchange x and y values:

$x=\text{ln}(y^3)$

Using log property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$x=3\cdot \text{ln}(y)$

$\frac{x}{3}=\frac{3\cdot \text{ln}(y)}{3}$

$\frac{x}{3}=\text{ln}(y)$

Using log definition; If $\text{log}_a(b)=c$ , then $b=a^c$ , we will get:

$y=e^{\frac{x}{3}}$

$g^{-1}(x)=e^{\frac{x}{3}}$

Therefore, we can see that function $f(x)=e^{\frac{x}{3}}$ is inverse of function $g(x)=\text{ln}(x^3)$ .

We can see that both functions are symmetric about line $y=x$ , therefore, both functions are inverse of each other.

8 0

4 years ago

Find the number of square units in base and height for each triangle.

Ede4ka [16]

Answer:

a. base = 5 units; height = 4 units

b. base = 1 unit; height = 4 units

c. base = 1 unit; height = 4 units

Step-by-step explanation:

a. Count the bottom which is the base, which is 5, the height, or h would be the units or squares up which would be 4.

b. Count the only 1 on the bottom which then, base would be 1 because there is only one on the bottom, the rest is going diagonally so it doesn't count as the base. The height would be 4 because there are 4 units up.

c. Again, only 1 unit on the bottom so the base is one again, and 4 as the height again because of how much units high it is.

The only difference from b. to c. is that c. is having a different angle than b, but they are both the same!

I hope this helps!

5 0

3 years ago

What does 1/2+2/3 equal

son4ous [18]

Answer:

7/6 or 1 1/6

Step-by-step explanation:

1/2+2/3 = 3/6 + 4/6 = 7/6

4 0

3 years ago

Read 2 more answers

Sam is a second grader and weighs 35 kilograms. How many milligrams does Sam weigh?

Mamont248 [21]

Answer:

35,000,000 miligrams

Step-by-step explanation:

1 kilograms= 1,000,000

1,000,000×35=35,000,000

6 0

3 years ago

A salad recipe that serves 10 people requires 1 1/2 cups of celery. To serve 5 people, the amount of celery required is

Annette [7]

Well this is a one step equation, just take 1.5 cups of salad and divide it buy 2 because you are only serving half of the people.

1.5 / 2 = .75 cups of celery

8 0

3 years ago