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2 years ago

If 2(a^2+b^2)=(a+b)^2 then, >a+b=0, >ab=0, >a=b, >2a=b

Mathematics

1 answer:

Tasya [4]2 years ago

7 0

Answer:

2·(a^2 + b^2) = (a + b)^2

2·a^2 + 2·b^2 = a^2 + 2·a·b + b^2

a^2 + b^2 = 2·a·b

a^2 - 2·a·b + b^2 = 0

(a - b)^2 = 0

a = b

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Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each

Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = $155+10x$

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = $230-15x$

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

$155+10x=230-15x$

On Solving above equation we get;

We will combine the like terms together;

$10x+15x =230-155\\\\25x = 75$

Now Dividing both side by 25 using Division property of equality we get;

$\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks$

Hence, After 3 weeks they both will have the same amount in their savings account.

4 0

2 years ago

Given f (g (x)) = x + 4 and f (x) = 3x + 5, find g (x).

JulijaS [17]

Answer:

g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

Step-by-step explanation:

f(x) = 3x + 5

f[g(x)] = 3[g(x)] + 5

⇒ 3[g(x)] + 5 = x + 4

⇒ 3[g(x)] = x + 4 - 5

⇒ 3[g(x)] = x - 1

⇒ g(x) = $\frac{1}{3}(x - 1) = \frac{x}{3} - \frac{1}{3}$

5 0

2 years ago

The function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, find the

Anettt [7]

Answer:

$y = - 2 e^{x} - 3$

Step-by-step explanation:

We have to vertically stretch the function $y = e^{x}$ by a factor of 2.

Then the function will become $y = 2e^{x}$ .

Then it is reflected across the x-axis.

So, the new function will be $y = - 2e^{x}$ .

Now, if the function is shifted down 3 units then the final function will become $y = - 2 e^{x} - 3$ (Answer)

6 0

2 years ago

The solution set to 6 + 2n > 12 is n > 3. Which are the correct representations of this solution? Select two options.

Alina [70]

The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation::

6 + 2n > 12

Subtracting 6 from both sides:

6 + 2n - 6 > 12 - 6

2n > 6

Dividing by 2:

n > 3

The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0

1 year ago

Number 2 is the question

Rasek [7]

Answer:

C:2 gallons per minute

Step-by-step explanation:

4 0

2 years ago

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