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Alla [95]
2 years ago
5

Graph the function. f(x)=3z-5 Use the Line tool and select two points to graph

Mathematics
1 answer:
mojhsa [17]2 years ago
7 0

The plot of the graph is attached and points have been determined

The two among them are (5,-2) ,(15,4).

What is a  Line Function ?

A line function is what can be written in the form of

y =mx +c

where m is the slope and c is the intercept on y axis.

The equation given here is y = (3/5)x -5

m = 3/5

c = -5

The plot of the graph is attached and points have been determined

The two among them are (5,-2) ,(15,4)

To know more about Line Function

brainly.com/question/13425362

#SPJ1

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Which expression uses the greatest common factor and the distributive property to rewrite the sum 42 + 72?
wlad13 [49]

Answer:

The answer is 6(7 + 12) ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Factors are the numbers you multiply together to get another number

- Ex: 4 × 5 = 20 ⇒ 4 and 5 are the factors of 20

- Factors of a number n are the numbers that can multiplied together

 to give the number n

- Ex: The factors of 6 are 1 , 2 , 3 , 6 because 1 × 6 = 6 and 2 × 3 = 6

- The distributive property lets you multiply a sum by multiplying each

  term separately and then add the products

- Ex: a(b + c) = ab + ac

* Lets solve the problem

- We want to find the greatest common factor in 42 + 72

∵ 42 = 1 × 42 , 2 × 21 , 3 × 14 , 6 × 7

∴ The factors of 42 are 1 , 2 , 3 , 6 , 7 , 14 , 21 , 42

∵ 71 = 1 × 72 , 2 × 36 , 3 × 24 , 4 × 18 , 6 × 12 , 8 × 9

∴ The factors of 72 are 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 24 , 36 , 72

- The common factors between 42 and 72 are the bold numbers

∵ The common factors between 42 and 72 are 1 , 2 , 3 , 6

∵ The greatest one of them is 6

∴ The greatest common factor of 42 and 72 is 6

- In the distributive property we have a number multiplying by a sum

 of two numbers

∵ 42 ÷ 6 = 7 and 72 ÷ 6 = 12

- We can write 42 + 72 as 6 × 7 + 6 × 12 and take 6 as a common factor

∵ 42 + 72 = 6 × 7 + 6 × 12

- Take 6 as a common factor

∴ 42 + 72 = 6(7 + 12)

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Step-by-step explanation:

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8 0
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Differentiating Functions of Other Bases In Exercise, find the derivative of the function.
aniked [119]

Answer:

\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}

Step-by-step explanation:

We are given the following in the question:

y = \ln {16}(x^2 - 3x)

We have to find the derivative of the given expression.

y = \ln 16(x^2 - 3x)\\\text{Using the log propert}\\\\\log_a b = \dfrac{\log b}{\log a}\\\\dfrac{d(x^n)}{dx} = nx^{n-1}\\\\\dfrac{d(\log x)}{dx} = \dfrac{1}{x}\\\\\text{\bold{Differentiating we get}}\\\\\displaystyle\frac{dy}{dx} = \frac{d(\ln 16(x^2-3x))}{dx}\\\\= \frac{1}{16(x^2-3x)})\frac{d(x^2-3x)}{dx}\\\\=\frac{1}{\log 16(x^2-3x)}(2x - 3)\\\\= \frac{2x-3}{\ln 16(x^2 - 3x)}

\dfrac{dy}{dx} = \frac{2x-3}{\ln 16(x^2 - 3x)}

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4 years ago
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