All categories

3 years ago

How do you tell if a functuon is a linear function

Mathematics

2 answers:

lesya [120]3 years ago

7 0

Answer:

if it's y = mx + b or f(x) = mx + b

Step-by-step explanation:

A linear function is in the form y = mx + b or f(x) = mx + b, where m is the slope or rate of change and b is the y-intercept

uranmaximum [27]3 years ago

4 0

Answer:

If it's on a graph and it's a straight line then its linear.

If its not on a graph, it will fall under a few different formulas, but as a general rule if it does not have an exponent on the x or y then it'll be linear.

You might be interested in

The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is th

amm1812

Answer: Our required probability is 0.39.

Step-by-step explanation:

Since we have given that

X be the exponentially distributed with mean life = 6 years

So, E[x]=6

$\dfrac{1}{\lambda}=6\\\\\lambda=\dfrac{1}{6}$

So, our cumulative distribution function would be

$F(x)=1-e^{-\lambda x}$

We need to find the probability that the CPU fails within 3 years.

$P(X$

Hence, our required probability is 0.39.

7 0

4 years ago

The midpoint of is point P at (−16,6). If point A is at (−10,8), what are the coordinates of point B? (−42,20) (−22,4) (−13,7) (

statuscvo [17]

Answer:

B (-22 , 4)

Step-by-step explanation:

-16=(-10+x)/2

*2 *2

-10+x=-32

+10 +10

x=-22

6=(8+y)/2

*2 *2

12=8+y

-8 -8

4=y

so B(-22, 4)

6 0

4 years ago

Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is proportional to the product o

Keith_Richards [23]

Answer:

32.1 g

Step-by-step explanation:

In each 3 grams of C, there are 2 grams of A and 1 gram of B. So, for some amount C, the amount remaining of A is 40 -(2C/3), and the amount remaining of B is (50 -C/3). Since the reaction rate is proportional to the product of these amounts, we have ...

C' = k(40 -2C/3)(50 -C/3) = (2k/9)(60 -C)(150 -C) . . . for some constant k

This is separable differential equation with a solution of the form ...

ln((150 -C)/(60 -C)) = at + b

We know that C(0) = 0, so b=ln(150/60) = ln(2.5). And we know that C(10) = 20, so ln(130/40) = 10a +ln(2.5) ⇒ a = ln(1.3)/10

Then our equation for C is ...

ln((150 -C)/(60 -C)) = t·ln(1.3)/10 +ln(2.5)

For t=20, this is ...

ln((150 -C)/(60 -C)) = 2ln(1.3) +ln(2.5) = ln(2.5·1.3²) = ln(4.225)

Taking antilogs, we have ...

(150 -C)/(60 -C) = 4.225

1 +90/(60 -C) = 4.225

C = 60 -90/3.225 ≈ 32.093 . . . . . grams of product in 20 minutes

In 20 minutes, about 32.1 grams of C are formed.

7 0

3 years ago

If the range of the function y = f(x) is {y | y ≥ 11, y ∈ R}, then the range of the new function g(x) = f(x + 2) - 3 is

mafiozo [28]

Answer:

y ≥ 8

Explanation:

Note that if f(x) is transformed into f(x + a) - b

The original functions is shifted a units to the left and b units downward.

Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.

From the given, g(x) is the transformation of f(x) with

$g(x)=f(x+2)-3_{}$

f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.

Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.

y ≥ 11 - 3

The answer is y ≥ 8

3 0

1 year ago

Handsome jack is buying a pony mad of diamonds the price of the pony is p dollars and jack also has to pay 25% diamonds pony tax

Leto [7]

Answer:

p=p+25%p

Step-by-step explanation:

hope this was helpful

pls mark Brainliest

so that i can

rank up ;p

5 0

3 years ago

How do you tell if a functuon is a linear function​

How do you tell if a functuon is a linear function