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Vlada [557]
3 years ago
11

What is a linear equation ?

Mathematics
1 answer:
dusya [7]3 years ago
8 0

A linear equation is an equation that represents a line. A linear equation has a variable raised to the 1st power.

For example, Y = 2x, Y = x + 1, Y = 8x - 3 are examples of linear equations.

However, something like Y =\frac{4}{x} and Y = 6^{x} seem to have a variable raised to the 1st power, but they're not linear.

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Can someone help me please and explain.
exis [7]
[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]

First plot both functions on graph (this you gotta do yourself and check because only then you will learn)

How you plot the function?

f(x)=-3x³+5x-5

Put y=f(x)

y=-3x³+5x-5➡eqn(1)

So note the corresponding values of y on putting different values of x in that function.

I'll show u:

When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]

Similarly,

x=1,y=-3

x=2,y=-19

[Similarly put x=-1,-2..and find corresponding y]

So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).

Same process for plotting function g(x)....at least 6 points must be plotted.

❇After plotting f(x) and g(x):

1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)

2) To check if they have same behavior or not,

increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]

Suppose f(x) has following end behavior:

When x increases f(x) tends to decrease

and when x decreases f(x) tends to increase

Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.

3) check by yourself by looking in plotted graphs of f(x) and g(x) whether they have at least one x-intercept or not.

4)g(x) is even function but f(x) is odd function.

So, g(x) is symmetrical over y-axis but f(x) is not.

5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}
3 0
3 years ago
Translate this sentence into an equation. 62 is the sum of 12 and Chrissy's age. Use the variable c to represent Chrissy's age.
Greeley [361]
62= 12+c

Which your answer is 50 cause if you take 62 and subtract it to 12 it's 50. So 50 + 12 = 62
5 0
3 years ago
All of the following are equivalent except...
Pie

Answer:

d) 11x^2 because that would be the same as 11x * 11x

6 0
2 years ago
Ia-5I=5-a lojubnbobihbihbjhbjhbjhbbjhbjhbjhjvhhbkjk
Anna35 [415]

Answer:

tha

Step-by-step explanation:

4 0
3 years ago
If lines A and B are parallel and angle 6 has a measure of 127°, what is the measure of angle 8?
RUDIKE [14]

If line A and B are parallel, then both angle 6 and 8 are corresponding angles, which mean they are the same.

SInce angle 6 is 127 degrees, then angle 8 is also 127 degrees

8 0
3 years ago
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