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murzikaleks [220]
3 years ago
5

Solve the inequality 1/2c > -1​

Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0

Answer:

\frac{1}{2} c >  - 1

c >  - 1 \div  \frac{1}{2}

c >  - 1 \times 2

c >  - 2

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State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
aleksandr82 [10.1K]

Answer:

Domain: [-1,\infty)

Range: (-\infty, 3]

Decreases over: (-1,-\infty)

Step-by-step explanation:

Given

f(x) = -\sqrt{x + 1} + 3 --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

x + 1 \ge 0

Solve for x

x + 1 -1\ge 0-1

x \ge -1

Hence, the domain is:

[-1,\infty)

To get the range, we plot the values of the domain in the expression.

x = -1

f(x) = -\sqrt{x + 1} + 3

f(-1) = -\sqrt{-1+1} +3

f(-1) = -\sqrt{0} +3

f(-1) = -0 +3

f(-1) = 3

x = \infty

f(\infty) = -\sqrt{\infty +1}+3

f(\infty) = -\sqrt{\infty}+3

f(\infty) = -\infty+3

f(\infty) = -\infty

So, the range is: (-\infty, 3]

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval (-1,-\infty)

6 0
3 years ago
Stacey is a resident at your medical facility where you work you are asked to chart the amount of solid food that she consumes f
Naddika [18.5K]
1/2 * 3 = 1.5 oz of meatloaf
3/4 * 3 = 2.25 oz of mashed potatoes
1/3 * 2 = 0.67 oz of green beans

1.5 + 2.25 + 0.67 = 4.42

Stacy consumed approximately 4.42 oz of solid food. 
4 0
4 years ago
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Can someone please help me with this question, thank you!
jok3333 [9.3K]
It’s (2, -4) !!!!!!!!!
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3 years ago
Pleas help me and I will send virtual hugs
denis-greek [22]

Area of the parallelograms are as follows;

1. 96 inch², 2. 70 inch², 3. 54 inch², 4. 88 inch², 5. 16 inch², 6. 84 inch²,        7. 81 inch², 8. 21 inch², 9. 30 inch².

Explanation:

  • As given, the area of a parallelogram is determined by multiplying the width of the base with the vertical height.
  • For parallelogram 1, base width = 12 inches while vertical height = 8 inches. So the area equals 12 × 8 = 96 inch².
  • For parallelogram 2, base width = 14 inches while vertical height = 5 inches. So the area equals 14 × 5 = 70 inch².
  • For parallelogram 3, base width = 9 inches while vertical height = 6 inches. So the area equals 9 × 6 = 54 inch².
  • For parallelogram 4, base width = 11 inches while vertical height = 8 inches. So the area equals 11 × 8 = 88 inch².
  • For parallelogram 5, base width = 4 inches while vertical height = 4 inches. So the area equals 4 × 4 = 16 inch².
  • For parallelogram 6, base width = 14 inches while vertical height = 6 inches. So the area equals 14 × 6 = 84 inch².
  • For parallelogram 7, base width = 9 inches while vertical height = 9 inches. So the area equals 9 × 9 = 81 inch².
  • For parallelogram 8, base width = 3 inches while vertical height = 7 inches. So the area equals 3 × 7 = 21 inch².
  • For parallelogram 9, base width = 6 inches while vertical height = 5 inches. So the area equals 6 × 5 = 30 inch².

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3 years ago
What is a reflex?
kogti [31]

Answer:

Behavior that does not involve the "higher" centers of an animal's brain.

Step-by-step explanation:

A reflex is an involuntary action that does not involve conscious thinking, such as pulling your hand away when it touches a sharp object

(Please give me brainliest if this helped)

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3 years ago
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