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3 years ago

Simplify the expression.

Mathematics

1 answer:

Sloan [31]3 years ago

5 0

1) 16n - 5
2) 4a + 3b
3) -3c + 27 + 4d
4) 2x - 7y + 3
5) 21x + 14x(second power)

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Math 170

Alinara [238K]

The given sides are 12 cm, 15 cm and 21 cm

Shortest side is 12 cm

As given that in real the shortest side is 200 m

So 12 cm=200 m

then 1 cm = $\frac{200}{12}=\frac{50}{3}$

Hence 15 cm = $\frac{50}{3} * 15 = 250$ m

21 cm = $\frac{50}{3} * 21 = 350$ m

So,,

15 cm in the photograph is 250 m long .

21 cm in the photograph is 350 long.

8 0

3 years ago

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 120 feet per secon

Makovka662 [10]

Answer:

The maximum height is reached after 3.75 seconds.

Step-by-step explanation:

Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...

... 120 ft/s - (32 ft/s²)t = 0

... (120 ft/s)/(32 ft/s²) = t = 3.75 s

The ball will not go any higher after its vertical speed is zero.

6 0

3 years ago

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

Does anyone know how to do this, I’m failing math and I need this to boost my grade. Someone help please

Nataly [62]

Answer:

Step-by-step explanation:

Hey, I'm not sure if I am right, but I hope it can create a spark or something.

8. Find x

10x - 1 = 14x - 37 Combine like terms

+37 +37

10x + 36 = 14x Combine like terms

-10x -10x

36 = 4x Divide to isolate x

4 4

9 = x

You can also do this method with the others.

PS: I am still not sure if this is the right method, lol. I just really want to help.

8 0

3 years ago

Ben says he will sell Catalina a ring that he found in his yard. Ben and Catalina look at the ring and decide that they are not

inessss [21]

Answer:

If both parties are over the age of 18, a lawsuit is likely to occur.

Step-by-step explanation:

Ben would likely try and sue Catalina for theft, however she wouldn't be found guilty because of the transfer of property, goods, and or services was entirely legal in this case.

6 0

3 years ago