All categories

3 years ago

The difference of the squares of two positive consecutive even integers is 84. Find the integers.

Mathematics

1 answer:

ziro4ka [17]3 years ago

3 0

Answer:

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

$(x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20$

You might be interested in

I need help please been getting all the answers wrong

vaieri [72.5K]

Answer:Question? :c

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Watch help video If you place a 13-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladde

riadik2000 [5.3K]

$\begin{gathered} X\text{ will represent the bottom of the ladder fom the bottom of the building} \\ U\text{sing pythagoras Theorem} \\ (Hyp)^2=(opp)^2+(Adj)^2 \\ 13^2=x^2+12^2 \\ 169=x^2\text{ +144} \\ 169-144=x^2 \\ 25=x^2 \\ x^2\text{ = 25} \\ x\text{ = }\sqrt[]{25} \\ x\text{ = 5foot} \end{gathered}$

6 0

1 year ago

A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, t

Mandarinka [93]

Answer:

The answer for that is 5744.61

4 0

3 years ago

For the funtion f(x)= (x+7)^5, Find f^-1 (x)

quester [9]

Answer:

The inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

Step-by-step explanation:

For the function $f(x)= (x+7)^5$ , Find $f^{-1} (x)$

For finding inverse of x,

First let:

$y=(x+7)^5$

Now replace x with y and y with x

$x=(y+7)^5$

Now, solve for y

Taking 5th square root on both sides

$\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7$

Now, replace y with $f^{-1} (x)$

$f^{-1} (x)=\sqrt[5]{x}+7$

So, the inverse of function $f(x)= (x+7)^5$ is $\mathbf{f^{-1} (x)=\sqrt[5]{x}+7}$

Option A is correct option.

6 0

3 years ago

Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points

zubka84 [21]

Answer:

Mary- $18

Jane- $30

Step-by-step explanation:

Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.

x(3+5) = $48

3x + 5x = $48

8x = $48

8x/8 = $48/8

x = $6

3($6):5($6) = $18:$30

4 0

3 years ago

Read 2 more answers