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3 years ago

Match the expression with its factored form. 3x + 9

Mathematics

1 answer:

pogonyaev3 years ago

3 0

Answer:

3(x +3)

Step-by-step explanation:

factored by grouping

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Implicit diffrention problems I am really stuck on

AysviL [449]

Answer:

$\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}$

Step-by-step explanation:

solving for dy/dx

multiply the equation out to remove parentheses

$x^4 + x^3y = 5xy^2 -y^3$

now differentiating in terms of x ( $\frac{dy}{dx}$ )

$4x^3 +3x^2y + x^3(\frac{dy}{dx} ) = 5y^2 + 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )$

isolating dy/dx to one side

$4x^3 +3x^2y - 5y^2= 10xy(\frac{dy}{dx} )-3y^2(\frac{dy}{dx} )-x^3(\frac{dy}{dx} )$

$4x^3 +3x^2y - 5y^2= \frac{dy}{dx}(10xy-3y^2-x^3)$

$\frac{dy}{dx} =\frac{4x^3+3x^2y-5y^2}{10xy-3y^2-x^3}$

5 0

3 years ago

Simplify 3a-3b/3a+12b

Lena [83]

If it is a fraction like (3a-3b)/(3a+12b)
= [3(a-b)]/[3(a+4b)]
= (a-b)/(a+4b)

6 0

2 years ago

Read 2 more answers

30 POINTS! Monica paid sales tax of $1.50 when she bought a new bike helmet. if the sales tax rate was 5%, how much did the stor

avanturin [10]

Hmm... well, here ya go.

1.50 ÷ 0.05 = 30
So, the total is $30
As for the tax rate, including the total, it would be $31.50.

Hope I helped.

6 0

2 years ago

Read 2 more answers

Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The

FinnZ [79.3K]

Answer:

15 hours

Step-by-step explanation:

$x$ is the number of hours that Liam volunteered in the first month

The next month he volunteered $1\dfrac{2}{3}$ times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

$x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15$

Time he volunteered in the first month is 15 hours.

3 0

2 years ago

PLS HELP WITH THIS (this is algebra 1 btw I don't know why it says college)<br> Question in picture

postnew [5]

Answer:

Step-by-step explanation:

7 0

2 years ago