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solmaris [256]
3 years ago
11

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g

raph of the following inequality:
y > one half x + 2 (5 points)


The origin is not included in the shaded region and the shaded area is above the line.

The origin is not included in the shaded region and the shaded area is below the line.

The origin is included in the shaded region and the shaded area is above the line.

The origin is included in the shaded region and the shaded area is below the line.

Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:

The correct option is

The origin is included in the shaded region and the shaded area is below the line.

Step-by-step explanation:

Y>3/2x + 2

Put x=0

Y= 2

(0,2)

Put y=0

X= -4/3

(-4/3,0)

See attached picture for the sketch

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Factor 1/8 out of 1/8x-49/8​
svetoff [14.1K]

Answer:

1/8(x - 49)

Step-by-step explanation:

When we factor out something, we are basically finding common factors from multiple terms to take out. Example:

ab + ac; factored out: a(b + c)

If we want to factor out 1/8 from 1/8x - 49/8, we simply divide the two terms by 1/8.

\frac{1/8}{1/8x} The 1/8 cancel out giving us x so:

1/8(x - __)

The next term,

\frac{49/8}{1/8}

When two fractions divide, you flip the bottom one and multiply them both,

\frac{49}{8} *\frac{8}{1}

giving us 49.

The answer is: 1/8(x - 49)

5 0
2 years ago
The function f(x) = (x - 4)(x-2) is shown.
ella [17]

Answer:

the range for f(x) = (x-4) (x-2) is [-1,∞)

Step-by-step explanation:

all real numbers greater than or equal to -1

4 0
2 years ago
In 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B. If 70 houses wer
Stella [2.4K]

Answer:

The number of houses built in Town B is 56.

Step-by-step explanation:

We are given that in 2010, the number of houses built in Town A was 25 percent greater than the number of houses built in Town B.

Also, 70 houses were built in Town A during 210.

Let the number of houses built in Town B be 'x'.

So, according to the question;

Number of houses built in Town A = Number of houses built in Town B + 25% of the houses built in Town B

70 = x + (25\% \times x)

70 = x(1+0.25)

x=\frac{70}{1.25}

x = 56

Hence, the number of houses built in Town B is 56.

8 0
2 years ago
As a director of operations for a fast-food company, you oversee two of the company's restaurants. One of the stores reports the
Nina [5.8K]

Answer:

Total = 36%

Step-by-step explanation:

Given

Company A = 0.15

Company B = 21%

Required

Determine the total revenue

Total is calculated as thus:

Total = Company A + Company B

Total = 0.15 + 21%

Represent 0.15 as %

Total = 0.15*100% + 21%

Total = 15% + 21%

Total = 36%

6 0
2 years ago
A mass weighing 64lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t=0
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Answer:

The steady state solution of the system is calculated in the diagram below:

5 0
2 years ago
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