The answer is D and i showed the work
Answer:
501613 books
Step-by-step explanation:
6.2% of x is 31,100
6.2%=6.2/100=62/1000
(62/1000)*x=31,100
x=31,100/(62/1000) [divide both sides by 62/1000]
x=501612.90=501613 (rounded up)
Hope this helps!
Answer:
348m
Step-by-step explanation:
I took the k12 test
Answer:
b11 = -14
b12 = 9
b13 = 8
Step-by-step explanation:
* Lets revise some notes to solve the problem
- Any matrix has a dimension m × n, where m is the number of rows
and n the number of columns
- We can add matrices with same dimensions
* Now lets solve the problem
∵ ![B+\left[\begin{array}{ccc}15&-7&4\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}1&2&12\\4&0&2\end{array}\right]](https://tex.z-dn.net/?f=B%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D15%26-7%264%5C%5C0%261%262%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%2612%5C%5C4%260%262%5Cend%7Barray%7D%5Cright%5D)
- Let ![B=\left[\begin{array}{ccc}b11&b12&b13\\b21&b22&b23\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Db11%26b12%26b13%5C%5Cb21%26b22%26b23%5Cend%7Barray%7D%5Cright%5D)
∴ ![\left[\begin{array}{ccc}b11&b12&b13\\b21&b22&b23\end{array}\right]+\left[\begin{array}{ccc}15&-7&4\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}1&2&12\\4&0&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Db11%26b12%26b13%5C%5Cb21%26b22%26b23%5Cend%7Barray%7D%5Cright%5D%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D15%26-7%264%5C%5C0%261%262%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%2612%5C%5C4%260%262%5Cend%7Barray%7D%5Cright%5D)
- Lets add and find the missing
* Lets start with the first rows
∵ b11 + 15 = 1 ⇒ subtract 15 from both sides
∴ b11 = -14
∵ b12 + -7 = 2 ⇒ add 7 to both sides
∴ b12 = 9
∵ b13 + 4 = 12 ⇒ subtract 4 from both sides
∴ b13 = 8
* Now lets start with the second rows
∵ b21 + 0 = 4
∴ b21 = 4 ⇒ given
∵ b22 + 1 = 0 ⇒ subtract 1 from both sides
∴ b22 = -1 ⇒ given
∵ b23 + 2 = 2 ⇒ subtract 2 from both sides
∴ b23 = 0 ⇒ given
Point Slope Form: y - y₁ = m(x - x₁)
slope = m
Slope Intercept Form: y = mx + b
Steps:
∴ Plug in the slope and point into point slope form.
∴ Convert the equation from point slope form to slope intercept form.
1). y + 1 = 2(x + 2) 2). y + 3 = -1/2(x + 2)
y + 1 = 2x - 4 y + 3 = -1/2x -1
- 1 - 1 - 3 - 3
------------------------------- ---------------------------------
y = 2x - 5 y = -1/2x - 4
I hope that this helps you understand more about slope intercept form and point slope form of lienar lines!