All categories

3 years ago

If x varies directly as y write a formula connecting x and y y.use k as a constant of variation.

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

Answer:

x=KY

as x is directly proportional to y

You might be interested in

A dance floor is in the shape of a rectangle. it is 25 meters long and 24 meters wide. what is its perimeter

Valentin [98]

The perimeter is 98 meters.

6 0

3 years ago

5^(2x-1)+5^(x+1)=250 how do you solve? thank you

zepelin [54]

Answer:

x = 2

Step-by-step explanation:

Exponential Equations

Solve:

$5^{2x-1}+5^{x+1}=250$

Separate each exponential:

$5^{2x}5^{-1}+5^{x}5^{1}=250$

Operating:

$\displaystyle \frac{5^{2x}}{5}+5^{x}5=250$

Multiplying by 5:

$5^{2x}+25\cdot5^x=1250$

Rearranging:

$5^{2x}+25\cdot5^x-1250=0$

Recall that:

$5^{2x}=(5^{x})^2$

$(5^{x})^2+25\cdot5^x-1250=0$

Calling

$y=5^{x}:$

$y^2+25y-1250=0$

Factoring:

$(y-25)(y+50)=0$

There are two possible solutions:

y=25

y=-50

Since

$y=5^{x}$

y cannot be negative, thus:

$5^{x}=25=5^2$

The solution is:

x = 2

8 0

3 years ago

Which expression is equivalent to the following complex fraction? (pls help me out)

const2013 [10]

Answer:

B. $\frac{-4x + 7}{2(x - 2)}$

Step-by-step explanation:

Simplify the given expression to determine its equivalent expression in the given options.

$\frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}}$

$\frac{\frac{3}{x - 1} - \frac{4}{1}}{\frac{2}{1} - \frac{2}{x - 1}}$

$\frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}}$

$\frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}}$

$\frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}}$

$\frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4}$

(x - 1) cancels (x - 1)

$\frac{-4x + 7}{1} * \frac{1}{2x - 4}$

$\frac{(-4x + 7)1}{1(2x - 4)}$

$\frac{-4x + 7}{2x - 4}$

$\frac{-4x + 7}{2(x - 2)}$

3 0

3 years ago

Which of the following illustrates the truth value of the given conditional statement?

garri49 [273]

Answer:

TT➪T

Step-by-step explanation:

8 0

3 years ago

Xavier Designs has the logo shown below on their office door. The logo has two smaller congruent triangles that are similar to t

Alexus [3.1K]

Answer:

183.375 in2

Step-by-step explanation:

I did it on study island.

5 0

3 years ago