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4 years ago

0.4(2x+1/2)=3[0.2x+(-2)]-4 solve the equation

1 answer:

5 0

0.4(2x+1/2) = 3[0.2x-2]-4
0.8x+0.2 = 0.6x-6-4 Distribute it out
0.8x+0.2 = 0.6x-10 Combine like terms
0.2x = -10.2 Subtract 0.6x and 0.2 from both sides
x = -51 Multiply both sides by 5

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In May, a national park had 50,498 visitors. In June, the same park had 82,062 visitors. How many more visitors did the park hav

lord [1]

Answer:

31,564

Step-by-step explanation:

82,062 - 50,498 = 31,564

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3 years ago

The curve with equation y = f ( x ) is stretched so that the point (-3,-5) moves to the point (-3,-10). State in terms of f ( x

Leviafan [203]

Answer:

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

Step-by-step explanation:

Let be $f(x)$ and $g(x)$ continuous functions in x. In this case, the stretch factor consist on multiplying $f(x)$ by a scalar factor, so that:

$g(x) = k \cdot f(x)$ , $\forall\, k\in \mathbb{R}, k \neq 0$

The stretch factor is:

$k = \frac{g(x)}{f(x)}$ , $\forall\, x \in \mathbb{R}$

If $f(-3) = -5$ and $g(-3) = -10$ , then:

$k = \frac{g(-3)}{f(-3)}$

$k = \frac{-10}{-5}$

$k = 2$

The transformed function is $g(x) = 2\cdot f(x)$ , $\forall\,x \in \mathbb{R}$ .

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4 years ago

Which equation can be used to find the unknown length, b, in this triangle?

Paha777 [63]

Answer:

use pythagorean theorem

Step-by-step explanation:

a^2+b^2=c^2

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3 years ago

Lilly takes a train each day to work that averages 35 miles per hour. On her way home, her train ride follows the same path and

Klio2033 [76]

Answer: $2.5=\frac{n}{35}+\frac{n}{45}$

Step-by-step explanation:

1. To find the equation asked, you must add the times:

$t_{total}=t_1+t_2$

Where $t_1$ is the time takes Lilly in her path to work and $t_2$ is the time takes Lilly in her path to home.

2. You must use the following formula of speed and solve for the time

$V=\frac{n}{t}$

Where n is the distance, V is the speed and t is the time.

3. You know that Lilly takes a train each day to work that averages 35 miles per hour, then, you can write the following expression:

$35=\frac{n}{t_1}\\t_1=\frac{n}{35}$

4. And her train ride follows the same path at 45 miles per hour:

$45=\frac{n}{t_2}\\t_2=\frac{n}{45}$

5. Then, you obtain the following equation:

$2.5=\frac{n}{35}+\frac{n}{45}$

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3 years ago

Read 2 more answers

15. The set of ordered pairs represents a function.

kondaur [170]

Answer:

A. 0

Step-by-step explanation:

In a function, all x-coordinates must be different.

The given function already shows 1, 2, 5, and 8 as x-coordinates, so you must choose a number other than those.

Answer: 0

5 0

3 years ago