Solve the inequality. Graph the solution.2(5 – 3x) < x-4(3 - x)

1 answer:

3 0

Answer:

x>2

Step-by-step explanation:

The first thing you need to do is distribute.

2 time 5 and 2 time -3x; -4 times 3 and -4 times -x.

After that you would get 10-6x < x-12+4x.

Now combine like terms. The only like terms are on the right side: x and 4x.

Now it's 10-6x < 5x-12.

Now put x on one side. I prefer to work with a positive x so I would move it to the right.

Now it's 10 < 11x-12.

Isolate the x. Move the -12 first

Now it's 22<11x.

Divide by 11 next.

Now it's 11<x.

Switch it around so it's easier to interpret for the graph.

Final written inequality is x>11.

Graph the line x= 11 but with a dotted line because it is not equal to 11.

Color in everything to the right of the line because everything greater than x is to the right.

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kobusy [5.1K]

Answer:

42.5 Units squared

Step-by-step explanation:

Rectangle: 9.0 * 3.5 = 31.5

Square: 2 * 2 = 4

Left Triangle: 2 * 2 * .5 = 2

Right triangle: 5 * 2 * .5 = 5

31.5 + 4 + 2 + 5 = 42.5

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2 years ago

Leokris [45]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
Multiplying the function by a number less than 1 compresses it towards the x-axis.
Multiplying the function by a number greater than 1 stretches it away from the x-axis.
Multiplying by a negative flips the graph.

The graph of $(-2^{x+17}) -4.3$ compares to $2^x$ in the following ways: