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-Dominant- [34]
3 years ago
10

Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children

. Find the age of father.​
Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

45 is the father's age

Step-by-step explanation:

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Galina-37 [17]
The area would be (x+3) (4x-1) which is 4x^2 +11x -3. The perimeter is 2(x+3) plus 2(4x-1) which is 2x +6 plus 8x-2 which is 10x +4. If x=7 then the perimeter is 74 ft.
5 0
2 years ago
Which of the following could be the system of nonlinear inequalities graphed below?
Ivan

Answer:

Option A.

Step-by-step explanation:

step 1

we know that

The equation of the solid line is

y=5

The solution is the shaded area above the solid line

so

The equation of the first inequality is

y\geq 5

step 2

The equation of the dashed line is

y=x^{2} -5x+6

The solution is the shaded area above the dashed line

so

The equation of the second inequality is

y>x^{2} -5x+6

therefore

The system of inequalities could be

y\geq 5

y>x^{2} -5x+6

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3 years ago
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NeX [460]
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3 0
3 years ago
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What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?​
love history [14]

Answer:

The value of "y" the would make the ordered pairs an inverse variation is;

y = 12

Step-by-step explanation:

The given ordered pairs are;

{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}

When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases

Mathematically, we have;

y ∝ 1/x

The above relation can be represented as an equation as follows;

y = k/x

Where;

k = The constant of proportionality

Therefore, k = y·x

From the given ordered, we have;

k =  -2 × 18 = -36

k = 6 × 6 = 36

k = -18 × 2 = -36

k = 4 × 9 = 36

Therefore, the value of "k" is made constant as follows;

The inverse variation is y = k/(x × (-1)ⁿ)

Where;

n = The number of the term

Therefore, y = 36/(3 × (-1)²) = 12

y = 12

The given ordered pairs can therefore be written as follows;

{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.

7 0
2 years ago
Find the least common denominator of the fractions 5/12 and 2/5.
Gemiola [76]
The LCD (least common denominator) is the lowest number that both denominators (12 and 5) go into. The lowest number that both 5 and 12 go into is 60. The LCD of the two fractions is 60.
6 0
3 years ago
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