16+28÷2-6 over 10-4x2

Mathematics

1 answer:

Levart [38]3 years ago

8 0

Answer:

-11(over)10-4x^2

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If f(x) = 5x – 1, then f^-1(x)=

adell [148]

Step-by-step explanation:

f(x) = 5x – 1

To find the inverse equate f(x) to y

That's

f(x) = y

y = 5x - 1

Interchange the terms

x = 5y - 1

Make y the subject

we have

5y = x + 1

Divide both sides by 5

y = x+1/5

Therefore f^-1(x)= x + 1/5

Hope this helps you

3 0

3 years ago

To make iced tea, 5 tea bags can be added to 1 gallon of water. Find how many bags can be used for 4 gallons of water

Nata [24]

Answer:

20 tea bags

Step-by-step explanation:

if 5 is 1 gallon then you do 5x4=20

4 0

3 years ago

If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3

horrorfan [7]

Answer: The correct option is (B) 24 : 25.

Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.

We are to find the ratio of the area of R to the area of S.

Let 2x, 3x be the sides of rectangle R and y be the side of square S.

Then, according to the given information, we have

$\textup{Perimeter of rectangle R}=\textup{Perimeter of square S}\\\\\Rightarrow2(2x+3x)=2(y+y)\\\\\Rightarrow 5x=2y\\\\\Rightarrow \dfrac{x}{y}=\dfrac{2}{5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Therefore, the ratio of the area of R to the area of S is

$\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.$