X + 5× -6 < 12 with graph and Interval Notation

Mathematics

1 answer:

GREYUIT [131]2 years ago

7 0

(-oo, 42)

Mark brainliest

Hope this helps you

Graph that then it won’t let me send pic

You might be interested in

I can't figure out how to do (i + j) x (i x j)for vector calc

Vinil7 [7]

In three dimensions, the cross product of two vectors is defined as shown below

$\begin{gathered} \vec{A}=a_1\hat{i}+a_2\hat{j}+a_3\hat{k} \\ \vec{B}=b_1\hat{i}+b_2\hat{j}+b_3\hat{k} \\ \Rightarrow\vec{A}\times\vec{B}=\det (\begin{bmatrix}{\hat{i}} & {\hat{j}} & {\hat{k}} \\ {a_1} & {a_2} & {a_3} \\ {b_1} & {b_2} & {b_3}\end{bmatrix}) \end{gathered}$

Then, solving the determinant

$\Rightarrow\vec{A}\times\vec{B}=(a_2b_3-b_2a_3)\hat{i}+(b_1a_3+a_1b_3)\hat{j}+(a_1b_2-b_1a_2)\hat{k}$

In our case,

$\begin{gathered} (\hat{i}+\hat{j})=1\hat{i}+1\hat{j}+0\hat{k} \\ \text{and} \\ (\hat{i}\times\hat{j})=(1,0,0)\times(0,1,0)=(0)\hat{i}+(0)\hat{j}+(1-0)\hat{k}=\hat{k} \\ \Rightarrow(\hat{i}\times\hat{j})=\hat{k} \end{gathered}$

Where we used the formula for AxB to calculate ixj.

Finally,

$\begin{gathered} (\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=(1,1,0)\times(0,0,1) \\ =(1\cdot1-0\cdot0)\hat{i}+(0\cdot0-1\cdot1)\hat{j}+(1\cdot0-0\cdot1)\hat{k} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=1\hat{i}-1\hat{j} \\ \Rightarrow(\hat{i}+\hat{j})\times(\hat{i}\times\hat{j})=\hat{i}-\hat{j} \end{gathered}$

Thus, (i+j)x(ixj)=i-j

8 0

11 months ago

Explain your answers please

nirvana33 [79]

First is 7 second is 8 third is 3

6 0

2 years ago

Mike has a 9 foot long board. He needs to cut it into 12 equal parts. How many feet long should each section be?

telo118 [61]

Multiply 9 feet times 12 inches and you get 108 inches. Then take 108 inches and divide it by 12 sections, you get 9 inches.

Answer: Each section should be 9 inches long, or 0.75, or 3/4 feet long.

3 0

3 years ago

What is the approximate circumference of a circle with a radius of 42.1 km?

harina [27]

C.264.4 that should answer your question

4 0

2 years ago

Read 2 more answers

F(x) = 2x^2+ 4x – 5<br> g() = 6x^3 – 2x^2 + 3<br> Find (f - g)(x).

RSB [31]

Answer:

Step-by-step explanation:

4 0

3 years ago

X + 5× -6 < 12 with graph and Interval Notation​

X + 5× -6 < 12 with graph and Interval Notation