Steve's doctor has advised him to take protein supplements. He bought two brands, Brand A and Brand B. The table gives the amount of calcium, iron, and vitamins (in milligrams per spoonful) in each of the two brands.Brand Calcium Iron Vitamins
A 5 4 7
B 4 6 4

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs of values are solutions for the given system inequalities? Select all the correct answers.

A) (1, 4)
B) (1, 5)
C) (2, 3)
D) (3, 2)
E) (4, 1)

Answers

Answer 1
Answer: Let the number of Brand A taken be x and the number of Brand B taken be y.
Then
5x + 4y ≥ 24
4x + 6y ≥ 15
7x + 4y ≥ 16

Points (1, 5) and (4, 1) satisfy the system of the given system of inequalities.
Answer 2
Answer:

Answer:

(1,5) and(4,1).

Step-by-step explanation:

Given :

Brand Calcium Iron Vitamins

A                5 4 7

B                4 6 4

Let x be the quantity of brand A

Let y be the quantity of brand B

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins.

So, equation becomes:

5x+4y\geq 24

4x+6y\geq 15

7x+4y\geq 16

Now plot the given inequalities on the graph

Refer the attached graph

Thus the points lies in the feasible region are (1,5) and(4,1).


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What number needs to be added to both sides of the equation in order to complete the square?

Answers

To complete the square for the equation X^2 + 16X + __ = 18 + __, we need to add 64 to both sides to get the equation X^2 + 16X + 64 = 18 + 64.

To complete the square for the given quadratic equation, we need to add a specific value to both sides of the equation. That specific value is the square of half the coefficient of the X term. In this case, the X term's coefficient is 16, so we need to take half of 16 (which is 8) and square it (which is 64).

So, the number to be added to both sides of the equation is 64.

The completed square equation then becomes: X^2 + 16X + 64 = 18 + 64.

Learn more about Completing the square here:

brainly.com/question/4822356

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The probable question may be:

What number needs to be added to both sides of the equation in order to complete the square?

X^2+16X+____=18+___

Answer:

16

Step-by-step explanation:

Given x^2 + 16x = 18.  Complete the square:

Take half of the coefficient of x (in other words, take half of 16) and square the result:  we get 8^2 = 64.

Add 64, and then subtract 64 from x^2 + 16x   + 64                         = 18 + 64

Then (x + 8)^2  = 82.  From this point on it's easy to find the roots, but we were not asked to do so.  

The desired number is 64; note that it is (16/2)^2.

One angle of a right triangle measures 8º. What is the measure of the other acute angle?

Answers

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B. 3 hours per mile
C. 3 miles per hour
D. 4 miles per hour

Answers

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Answers

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40 hours
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Answers

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Answers

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