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4 years ago

Determine if the ordered pair marked by the circle is a solution for the inequality

Mathematics

1 answer:

Kamila [148]4 years ago

3 0

When the inequality sign is < / > (less than/greater than), the line is a dotted line.

When the inequality sign is ≤ / ≥ (less than or equal to/greater than or equal to), the line is a solid line.

If "y >" (y is greater than.....), the shaded area is above the line.

If "y < " (y is less than....), the shaded area is below the line.

[points in the shaded area are solutions for the inequality. If the point is on the line and the line is ≤ / ≥, it is a solution]

- The point outside of the blue shaded area is not a solution because it has to be in the shaded area.

- The point on the line is not a solution because the line is a dotted line, which means that the point can't be equal to the points on the line.

- The point inside the blue shaded area is a solution.

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Read 2 more answers

How do I solve this equation?

Gnom [1K]

$2x(4-x)^{-1/2}-3(4-x)^{1/2}=(4-x)^{-1/2}\bigg(2x-3(4-x)\bigg)$

We effectively rewrite the equation as

$\dfrac{5x-12}{(4-x)^{1/2}}=0$

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3 years ago

Which decimal is between 1.5 and 1.7?

sergejj [24]

1.6

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4 years ago

If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fa

Nesterboy [21]

This question is not complete because his height and age was not indicated in the above question.

Complete Question:

Rick is a healthy 19-year-old college student who is 70 inches tall and weighs 205 pounds. He has decided to "get a six-pack" over the summer with a diet and exercise program. As part of his new plan, he has stopped drinking soda and is eating more salads in addition to his usual diet. Besides of these changes, he is unclear on how to proceed to reach his fitness goal. Rick's mother wants to make sure his approach will not interfere with his normal growth and development, and has asked him to seek reliable information to help him make a reasonable plan.

If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fat, the recommended maximal weight loss is one pound per week. Since there are 3500 kcalories in a pound of body fat, a deficit of 3500 kcalories for the week or 500 kcalories per day would be required. Calculate the maximum number of kcalories Rick can consume per day to achieve a weight loss of one pound per week. Assume that his weight is 205 pounds and that his physical activity factor is "low active."

Answer:

2696 kilocalories

Step-by-step explanation:

STEP 1

First we need to calculate Rick's Basal Metabolic Rate( BMR)

Weight in pounds = 205 pounds

Age = 19 years

Height in inches = 70 inches

The formula for calculating Basal Metabolic Rate for men =

BMR = 66.47 + ( 6.24 × weight in pounds ) + ( 12.7 × height in inches ) − ( 6.755 × age in years )

BMR = 66.47 + ( 6.24 × 205 ) + ( 12.7 × 70 ) − ( 6.755 × 19)

= 2247

STEP 2:

The next step is to calculate the maximum amount kilocalories per day Rick should consume

Formula is given as :

For a person with physical activity factor of a ' low Active'

Maximum amount of kilocalories to consume per day = Basal Metabolic rate × 1.2

= 2247 × 1.2

= 2696 Kilocalories (kcalories) per day

6 0

4 years ago