How can you determine if a function is linear or nonlinear from the graph of the function???

1 answer:

6 0

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 or where the graph of the line crosses the y axis. You will notice that this function is degree 1 meaning that the x variable has an exponent of 1.

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Find a+b,2a+3b,IaI, and Ia-bI. a[5, -12], b=[-3, -6]

DENIUS [597]

Answer: 1) $2\hat{i}-18\hat{j}$ 2) $\hat{i}-6\hat{j}$ 3) 13, 4) 10.

Step-by-step explanation:

Since we have given that

$\vec{a}=5\hat{i}-12\hat{j}\\\\and\\\\\vec{b}=-3\hat{i}-6\hat{j}$

So, we need to find :

1) a + b is given by

$5\hat{i}-12\hat{j}-3\hat{i}-6\hat{j}\\\\=2\hat{i}-18\hat{j}$

2) 2a+3b is given by

$2(5\hat{i}-12\hat{j})+3(-3\hat{i}-6\hat{j})\\\\=10\hat{i}-24\hat{j}-9\hat{i}+18\hat{j}\\\\=\hat{i}-6\hat{j}$

3) |a| is given by

$\sqrt{5^2+(-12)^2}\\\\=\sqrt{25+144}\\\\=\sqrt{169}\\\\=13$

4) |a-b| is given by

$\sqrt{(5+3)^2+(-12+6)^2}\\\\=\sqrt{8^2+6^2}\\\\=\sqrt{64+36}\\\\=\sqrt{100}\\\\=10$

Hence, 1) $2\hat{i}-18\hat{j}$ 2) $\hat{i}-6\hat{j}$ 3) 13, 4) 10.

6 0

3 years ago

Which is the inverse of the function f(x) = 1/4x-12

Ivanshal [37]

To find the inverse of the function, f(x) = 1/4x-12, first interchange the variables of x and y
x=1/4y-12, now solve for y
1/4y=x+12, multiply by 4 on both sides
y=4x+48
Thus, the inverse of the function f(x) = 1/4x-12 is 4x+48
Hope this helps!

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3 years ago

There are approximately 2.6 million deaths per year in country A. Express this quantity as deaths per minute.

igor_vitrenko [27]

Take 2.7 million divided by the number of minutes in a year. 1 hour= 60 minutes 1 day= 24 hours So you take 24 hours × 60 minutes =1440 minutes 1 year= 365 per minute.

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3 years ago

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Ayo what this?????????????? My teacher tripping

Hunter-Best [27]

He/she really tripping but maybe try simplifying them ?

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2 years ago

Which equation can you use to find the value of x?

klemol [59]

Answer:

$3x=78+(x-2)$