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3 years ago

Write the domain and range as inequalities.

Mathematics

1 answer:

Andrews [41]3 years ago

6 0

Answer:

domain: -∞ < x < ∞
range: -2 ≤ y < ∞

Step-by-step explanation:

Domain

The domain is the horizontal extent of the function, the set of input values for which it is defined. A parabola that opens up or down is defined for all x values, so its domain is ...

-∞ < x < ∞ . . . . . . (-∞, ∞) in interval notation

Range

The range is the vertical extent of the function, the set of output values it produces. The vertex of the parabola is one extreme of the range. Depending on the direction it opens, the other extreme will be +∞ or -∞. The range includes the y-value of the vertex. Here, the range is ...

-2 ≤ y < ∞ . . . . . . [-2, ∞) in interval notation

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Mary’s coffee shop borrowed $9,850 for new chairs and tables. The money was borrowed for 9 months at 9 ¼ % discounted rate, what

Greeley [361]

Let
M---------------> money borrowed -------------> $9,850
r--------------> discounted rate--------> 9 ¼=9.25-------> 0.0925
t---------------> time--------> 9 months=9*30=270 days
D-------------> amount of the discount

we know that
D=M*r*t/360=(9850)*(0.0925)*(270/360)=683.34

the answer is $683.34

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2 years ago

In the following Laplace transform, how do you get rid of the cos(2at)*sin(at)?

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3 years ago

the average price of a movie ticket in the year 2000 was $5.39. The average price of a movie ticket in the year 2004 was $6.21.

meriva

Answer:

$ 7.37

Step-by-step explanation:

linear increase means increased the same amount every year

increment: (6.21 - 5.39) / 4 = 0.215 =$0.22

1n 2009: 0.22 * 9 + 5.39 = 7.37

7 0

3 years ago

Help please for my assesment

Oksana_A [137]

Answer:

$Ratio = 2 : 15$

Step-by-step explanation:

Given

$Ratio = 8 : 60$

Required

Write in the simplest form

$Ratio = 8 : 60$

Divide by 2

$Ratio = 8/2 : 60/2$

$Ratio = 4 : 30$

Divide by 2

$Ratio = 4/2 : 30/2$

$Ratio = 2 : 15$

The expression cannot be further simplified.

8 0

3 years ago

1/3(r+6) = 1/6(r+8) How do I get r?

Alexus [3.1K]

Hi,

WORK:

$\frac{1}{3} \times (r + 6) = \frac{1}{6} \times (r + 8) \\$

Multiply both sides of equation by 3.

$r + 6 = \frac{1}{2} \times (r + 8)$

Distribute one half thought parenthesis.

$r + 6 = \frac{1}{2} \times r + 4$

Multiply both sides of equation by 2.

$2r + 12 = r + 8$

Move r variable to left side and change its sign.

$2r - r + 12 = 8$

Collect the like terms.

$r = 8 - 12$

Result:

$r = - 4$

Hope this helps.
r3t40

4 0

3 years ago