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2 years ago

Graph the linear equation. 3x-4y=12 Thanks

Mathematics

2 answers:

Assoli18 [71]2 years ago

8 0

Answer with Step-by-step explanation:

we have to graph the linear equation:

3x-4y=12

Let x=0

then, -4y=12

i.e. y= -3

Hence, line passes through (0, -3)

Now, letting y=0 then, 3x=12

i.e. x=4

Hence, line passes through (4,0)

Plotting these points on the graph and joining these points, we get the following graph

WITCHER [35]2 years ago

6 0

Hi
You can choose to points (x,y) which solve the equation, like (0,-3) and (4,0) and then draw a line through the points.

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2 years ago

A sequence is defined recursively using the formula f(n + 1) = -0.5f(n). If the first term of the sequence is 120, what is f(5)?

PolarNik [594]

Answer: 7.5

Step-by-step explanation:

The given formula tells us that the next term f(n+1) of the sequence is -0.5 times the previous term f(n)

First term of the sequence is f(1) = 120

Second term of the sequence is f(2) = f(1+1) = -0.5 f(1) = -0.5 (120) = -60

Third term of the sequence is f(3) = f(2+1) = -0.5 f(2) = -0.5 (-60) = 30

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3 years ago

Read 2 more answers

Could you please help me with questions 36 & 37?

Andrej [43]

We have to determine if the functions are linear or not.

We can do this by rearranging the equations in this form:

$y=mx+b$

where m and b are constants.

<em>NOTE: There are many ways to prove that a function is linear, but this is the easiest for this question. </em>

36.

$\begin{gathered} x+\frac{1}{y}=7 \\ \frac{1}{y}=-x+7 \end{gathered}$

As this function can not be written in the form y=mx+b, then it is not linear.

37.

$\begin{gathered} \frac{x}{2}=10+\frac{2y}{3} \\ \frac{x}{2}-10=\frac{2y}{3} \\ \frac{2y}{3}=\frac{1}{2}x-10 \\ y=\frac{3}{2}(\frac{1}{2}x-10) \\ y=\frac{3}{4}x-15 \end{gathered}$

This function is now in the form y=mx+b, where m=3/4 and b=-15. Then, this function is a linear function.

Answer:

36. Non-linear.

37. Linear.

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1 year ago