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sammy [17]
3 years ago
8

The mother's age is 8 times her son's age. After 6 years, the age of the mother will be 9/2 times her son's age. The present age

s of the son and the mother are, respectively
Mathematics
2 answers:
Yakvenalex [24]3 years ago
4 0

Answer:

son = 6 mother = 48

Step-by-step explanation:

Mother = m

son = s

m = 8s

m+6 = 9/2 * (s+6)

so

2(8s + 6) = 9(s +6)

16s + 12 = 9s + 54

16s - 9s = 54 - 12

7s = 42

s = 42/7 = 6 years old

so the mother is 8s = 8*6= 48 years old

tatiyna3 years ago
4 0

Answer:

Son’s present age is 6.

Mother’s present age is 48.

Step-by-step explanation:

Let the mother age be x.

Let the son’s age be y.

x = 8y

x + 6 = 9/2 × (y + 6)

Put x as 8y in the second equation and solve for y.

8y + 6 = 9/2(y + 6)

8y + 6 = 9/2y + 27

8y - 9/2y = 27 - 6

7/2y = 21

y = 21 × 2/7

y = 42/7

y = 6

Put y as 6 in the first equation and solve for x.

x = 8(6)

x = 48

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The correct options for the linear combinations of the vectors are given by:

A, B, C, D, E and F.

<h3>What is a span between two vectors?</h3>

The span between two vectors is the set that contains all linear combinations between these two vectors.

Supposing we have two vectors u1 and u2, as is the case in this problem, the infinitely many linear combinations have the following format:

k1u1 + k2u2

In which k1 and k2 are real numbers.

With k1 = 4 and k2 = -7, we get that option A is correct.

For option B, the vector 0 will always be a part of the span, as it can be formed with constants 0, hence it is correct.

The dimension of the span is of 3, as the vectors have 3 elements, hence option C is correct.

The underlying vectors will always also be part of the span, as they can be formed with their constant 1 and the others at 0, hence options D and F are correct.

The size of the span of any vectors is of infinity, hence option E is correct while option G is not.

More can be learned about linear combinations at brainly.com/question/15885826

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