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Ksju [112]
4 years ago
15

The square of a positive number decreased by 4 times the number is 12. Find the positive number. [Only an algebraic solution wil

l be accepted.]
Mathematics
1 answer:
grandymaker [24]4 years ago
3 0
The math translation is: x^2-4x=12

So then you can subtract 12 from both sides and solve as a quadratic equation.

X^2-4x-12=0

This factors into:

(X-6)(x+2)=0.

So then the answer would be 6 or -2.
You might be interested in
Equations to find the inverse of f(x) = y = 3x/8+z
kicyunya [14]
To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,f(x) = y = 3x/ (8 + x)y (8 + x) = 3x8y + xy = 3x8y = 3x - xy8y = x (3 - y)8y / (3-y) = xx = 8y / (3 -y)
Therefore,f-(x) = f(y) = x = 8y/ (3 - y)
3 0
3 years ago
Read 2 more answers
A dietitian at a hospital wants a patient to have a meal that has 109 grams of protein, 76
Alex787 [66]

The number of variables and the number of unknowns are equal, therefore, the system can be solved by simultaneous equation

The required number of servings are;

  • Number of servings of salmon steak is <u>1.5 servings</u>
  • Number of servings of baked eggs is <u>3 servings</u>
  • Number of servings of acorn squash is <u>1 serving</u>

Reason:

Given parameter;

Required mass of protein = 109 gram

Required mass of carbohydrate = 76 grams

Required mass of vitamins = 93.5 mg

The dinner = Salmon steak, baked eggs, and acorn squash

Mass of protein in a salmon steak serving = 40 grams

Nutrition value of salmon steak;

Protein = 40 grams

Carbohydrate = 30 grams

Vitamin A. = 1 milligram

Nutrition value of baked eggs;

Protein = 15 grams

Carbohydrate = 2 grams

Vitamin A. = 20 milligrams

Nutrition value of acorn squash;

Protein = 4 grams

Carbohydrate = 25 grams

Vitamin A. = 32 milligrams

Let <em>A</em> represent the amount of serving of salmon steak, let <em>B</em> represent the

number of serving of baked eggs, and let <em>C</em> represent the number of

servings of acorn squash, we have;

40·A + 15·B + 4·C = 109

30·A + 2·B + 25·C = 76

A + 20·B + 32·C = 93.5

Solving the above simultaneous equation with a graphing calculator gives;

A = 1.5, B = 3, C = 1

Therefore, the dietician should provide <u>1.5</u> serving of salmon stake, <u>3</u>

servings of baked eggs, and <u>1</u> serving of acorn squash

Learn more here:

brainly.com/question/19710777

4 0
3 years ago
A fourth grade class has a 35 min lunch if they started at 11:15 A. M. what time would they be done
MrRa [10]

Answer:

11:50

Step-by-step explanation:

Add 35 to 15

3 0
4 years ago
What is the Mean for the given data: 2, 8, 7, 6, 6, 3, 4.4, 5.1, 9, 8
kotegsom [21]

Answer

5.9

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms

7 0
3 years ago
a patio in the shape of a rectangle, is fenced on all sides with 134 feet of fencing. the patio is 5 feet less wide than its lon
Digiron [165]

Answer:

The area of the patio is 1,116 ft^2

Step-by-step explanation:

Here in this question, we are interested in calculating the area of the patio.

Mathematically, area of patio is;

length * width

Unfortunately we do not have these values. Thus we need to get this from the value of the perimeter of the fencing and the relationship between the width and the length.

Mathematically, the total length of the fencing is the perimeter of the fencing.

Now, we are also told that the patio is 5 feet less wide than it is long.

So if the length is x ft, the width is (x-5) ft

Mathematically;

the perimeter of a rectangle is;

2(l + b)

Writing this in the x terms and equating to the perimeter, we have;

2( x + x -5) = 134

divide through by 2

2x -5 = 67

2x = 67 + 5

2x = 72

x = 72/2

x = 36 ft

Thus since the length is 36 ft, the width would be x -5 = 36 -5 = 31 ft

Done? No!

The question asks to calculate the area. Let’s move these values to the initial equation of the area in the start of the question.

Thus, we have 31 * 36 = 1,116 ft^2

8 0
3 years ago
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