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4 years ago

Which literal equation is equivalent to 1.4 = kx?

Mathematics

1 answer:

Svet_ta [14]4 years ago

6 0

What is $4.30 makeup; 40% discount; 6% tax ?

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I dont understand this.

Arte-miy333 [17]

Step-by-step explanation:

3x+6= 4+2x+4

x= 8-6

x= 2

DF = 3*(2)+6

DF= 12 cm

4 0

3 years ago

Answer please <br> Im not understanding

Firdavs [7]

Answer:

it has to be ur mom

Step-by-step explanation:

Your mom is a phrase that's typically followed by a statement poking fun at someone's mom. This always involves hyperbolic statements revolving around a personal trait that she may or may not possess.

7 0

3 years ago

Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence's height in

OlgaM077 [116]

Answer:68.7 - t

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a

katovenus [111]

1. Let a and b be coefficients such that

$\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}$

Combining the fractions on the right gives

$\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}$

$\implies 1 = (2a+b)x + 3a$

$\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23$

so that

$\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}$

2. a. The given ODE is separable as

$x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}$

Using the result of part (1), integrating both sides gives

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C$

Given that y = 1 when x = 1, we find

$\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)$

so the particular solution to the ODE is

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)$

We can solve this explicitly for y :

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)$

$\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|$

$\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|$

$\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}$

2. b. When x = 9, we get

$y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}$

8 0

3 years ago

Use inductive reasoning to determine the next two terms in the sequence:<br> 12, 20, 36, 60,

Butoxors [25]

Answer:

72,180

the alternate numbers are the multiples of the first number in the series in their alternatives

example

12x3=36

20x3=60

therefore 36 x 3=72

and 60 x 3=180

3 0

3 years ago