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Paladinen [302]

2 years ago

5

Write the verbal sentence as an equation or an inequality: Four is greater than six times a number t. really need help can't rea

lly understand

1 answer:

maw [93]2 years ago

5 0

4 > 6*t

Number t refers to an unknown. In this case, t can only be 0, because 6*0 = 0, and 4 > 0 or four is greater than 0.

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Please help I am struggling with math

Novay_Z [31]

Answer:

question 21 is x= 30

Step-by-step explanation:

when you multiply 7 by 5 you get 35 which is on the bottom side. So, to get x you multipy 6 and 5 and that equals 30.

6 0

2 years ago

Read 2 more answers

Select the three sums equivalent to 13/<br> 8.

liq [111]

Answer:

1.625

Step-by-step explanation:

8 0

3 years ago

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

2 years ago

What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,

Mamont248 [21]

Answer:

y=-5x+12

Step-by-step explanation:

just use a graphing calculator and basic knowledge of slope intercept form

7 0

2 years ago

3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest

blsea [12.9K]

We all know, savings account have "Compound Interest"

So, Here, On $100 deposit, amount of Interest = $12

So, for $50, it would be: $6

Then, for $300, it is: $36

b) If you deposit $200, then balance after 1 year,
A = P(1 + r)^t

A = 200(1 + 0.03)^1

A = 200(1.03)
A = $206

Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5

Difference = 206 - 154.5 = $51.5

In short, Your Answer would be: $51.5

Hope this helps!

6 0

3 years ago