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3 years ago

5

if the dimensions of a rectangle are decreased by 50%, then the area of the rectangle is decreased by what percent?

1 answer:

Papessa [141]3 years ago

5 0

It is decreased by 75% Hope it helps

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Find the inverse <br><img src="https://tex.z-dn.net/?f=f%28x%29%3D%7Be%7D%5E%7B3x%20-%201%7D%20" id="TexFormula1" title="f(x)={e

FromTheMoon [43]

Answer:

$f^{-1}(x)=\dfrac{1}{3}(\ln x +1)$

Step-by-step explanation:

Given function:

$f(x)=e^{3x-1}$

Replace f(x) with y:

$\implies y=e^{3x-1}$

Take natural logs of both sides:

$\implies \ln y = \ln e^{3x-1}$

Apply the Power Log Law $\ln x^n=n\ln x$ :

$\implies \ln y = (3x-1)\ln e$

As $\ln e=1$ then:

$\implies \ln y = 3x-1$

Rearrange to make x the subject:

$\implies 3x=\ln y +1$

$\implies x=\dfrac{1}{3}(\ln y +1)$

Swap x for $f^{-1}(x)$ and y for x:

$\implies f^{-1}(x)=\dfrac{1}{3}(\ln x +1)$

8 0

2 years ago

What is the total weight of 3 bags if their individual weights are 2/5, 7/10, and 3/5 pounds? Give your answer as a mixed number

grigory [225]

2/5=4/10         7/10         3/5=6/10
4/10         7/10            6/10
4+6=10+7=17
17/10 which would turn into
one and seven tenths 1  7/10

3 0

3 years ago

<br> Solve System Of Equation <br> −4x+11y=15<br> x=2y<br> <br> x=<br> y=

Maslowich

Answer:

y=5 x=110

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

While conducting an inventory in their bicycle shop, the owner noticed the number of bicycles is 2 fewer than 10 times the numbe

mr Goodwill [35]

Answer:

The number of bicycles in the store is $178\ bicycles$

Step-by-step explanation:

Let

x------> the number of bicycles

y-----> the number of tricycles

we know that

The bicycles has two wheels and the tricycles has three wheels

so

$2x+3y=410$ ------> equation A

$x=10y-2$ ------> equation B

substitute equation B in equation A and solve for y

$2(10y-2)+3y=410$

$20y-4+3y=410$

$23y=414$

$y=18\ tricycles$

Find the value of x

$x=10(18)-2=178\ bicycles$

3 0

3 years ago

Read 2 more answers

Can you please help me

Alex_Xolod [135]

Answer:

is there amultipe choice answer if so list them down

Step-by-step explanation:

3 0

3 years ago