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3 years ago

Jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?

Mathematics

2 answers:

Vladimir [108]3 years ago

8 0

Answer:

Step-by-step explanation:

Jane is X years old means she is currently X age. So 2 years later she will be 2+X years old and 5 years later she will be 5+X years old

ch4aika [34]3 years ago

6 0

Answer:

Jane's age = X

In 2 years time = X + 2

In 5 years time = X + 5

Step-by-step explanation:

Answer from Gauth math

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andrey2020 [161]

First observe that if $a+b>0$ ,

$(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}$

Let $a=0$ and $b=x$ . It follows that

$a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}$

Now let $b=1$ , so $a^2+a=4x$ . Solving for $a$ ,

$a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2$

which means

$a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}$

Now solve for $x$ .

$x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2$

(note that we assume $2x-1\ge0$ )

$4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}$

(we omit $x=0$ since $2\cdot0-1=-1\ge0$ is not true)

3 0

2 years ago

At a bake sell, 3/5 of the baked goods are pies. the rest of the baked goods are the plates of cookies. there are 24 plates of c

vovangra [49]

A: 2/5

B: 24x2= 48+12= 60

C: 4

3 0

3 years ago

Someone plz help me with this plz

kolezko [41]

Answer:

NOt finished

Step-by-step explanation:

PAGE 1

1.) enlargement b/c the number is more that 1

2.) reduction b/c the number is less than 1

3.) enlargement b/c the number is more than 1

4.) reduction b/c the number is less than 1

5.) reduction k = 1/3

6.) enlargement k = 5/2 or 2.5

PAGE 2

7.) reduction k = 1/3

8.) enlargement k = 2

PAGE 3

Screen shot

PAGE 4

screen shot

PAGE 5

screen shot

I WILL DO THE SCREENSHOTS TOMORROW

7 0

3 years ago

Pls help me i need help

malfutka [58]

Answer:

$4p^2-3$

Step-by-step explanation:

8 0

3 years ago

What is a third-degree binomial?

natita [175]

Answer:A binomial expression has two terms. For example, 4x + 5, The degree of any polynomial refers to the term with the highest exponent on its variable. ... Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?​

Jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?