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3 years ago

Lots of pts and brainliest

Mathematics

2 answers:

bixtya [17]3 years ago

6 0

Hey there!

The slope-intercept form is shown in the photo I’ve attached

Hope this helps you!

Always remember you are a Work Of Art!

- Nicole <3 :)

valentina_108 [34]3 years ago

3 0

Answer: The answers are given below.

Step-by-step explanation: The calculations are as follows:

(1) The given equation is

$4x+3y=24.$

We are to write the above equation in slope-intercept form.

We have

$4x+3y=24\\\\\Rightarrow 3y=-4x+24\\\\\Rightarrow y=-\dfrac{4}{3}+8,$

which is the required slope-intercept form, where slope is $-\dfrac{4}{3}$ and y-intercept 8.

(2) The given equation is

$8x-2y=4.$

We are given to draw the graph of the above equation, which is shown in the attached figure.

Hence solved.

You might be interested in

Find integra of xlnxdx

Mademuasel [1]

Answer:

$\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}$

Step-by-step explanation:

Fundamental Theorem of Calculus

$\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))$

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

$\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}$

Increase the power by 1, then divide by the new power.

Given indefinite integral:

$\displaystyle \int x \ln x \:\: \text{d}x$

To integrate the given integral, use Integration by Parts:

$\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}$

$\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}$

$\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2$

Therefore:

$\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}$

Learn more about integration here:

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2 years ago

$500 at 4% for 3 years :FIND THE INTEREST EARNED

mixer [17]

Answer:60$

Step-by-step explanation:

3 0

3 years ago

Decrease 133 in the ratio 7:2

love history [14]

Answer:

Step-by-step explanation

2/7× 133=38

6 0

3 years ago

The lakeside marina charges a $35 rental fee for a boat in addition to charging $15 per hour. Part D:what information does the i

STALIN [3.7K]

Answer: B.The cost of rental fee only

Step-by-step explanation:

The $35 is the cost of the rental fee only. The person would then have to pay a further $15 for every hour they use the boat.

Essentially, the $35 is the fixed cost associated with the rental and the $15 is the variable cost to do so. If this were in a linear equation format it would take the form: y = 15x + 35.

7 0

3 years ago

Someone help me plz i really need help if you help me I will help you

taurus [48]

2. 4/6 , 6/9
3. 2/4 , 3/6
4. 8/10 , 12/15

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6 0

4 years ago