Answer:
the answer is d.
Step-by-step explanation:
first, you want to use the formula,
new value - original value
<u>____________________</u>
original value * 100
you see that 84 is the new value and 79 would be the original value. substitute the numbers in. this is a increase since you will get a positive value.
84 - 79
<u>______</u>
79 * 100
now we solve it.
5
<u>__</u>
79 * 100
you can either solve the fraction first then multiply that by 100 or multiply the numerator by 100 first then divide that by 79, each way works.
500
<u>____</u>
79 = approximately 6.3% increase (this is not a exact value, just rounded)
or
5
<u>__</u>
79 = approximately 0.063 (this is not a exact value, just rounded)
0.063 * 100 = 6.3% increase
Answer:
The image of
through T is ![\left[\begin{array}{c}24&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D24%26-8%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We know that
→
is a linear transformation that maps
into
⇒

And also maps
into
⇒

We need to find the image of the vector ![\left[\begin{array}{c}4&-4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%26-4%5Cend%7Barray%7D%5Cright%5D)
We know that exists a matrix A from
(because of how T was defined) such that :
for all x ∈ 
We can find the matrix A by applying T to a base of the domain (
).
Notice that we have that data :
{
}
Being
the cannonic base of 
The following step is to put the images from the vectors of the base into the columns of the new matrix A :
(Data of the problem)
(Data of the problem)
Writing the matrix A :
![A=\left[\begin{array}{cc}4&-2\\5&7\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-2%5C%5C5%267%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now with the matrix A we can find the image of
such as :
⇒
![T(\left[\begin{array}{c}4&-4\end{array}\right])=\left[\begin{array}{cc}4&-2\\5&7\\\end{array}\right]\left[\begin{array}{c}4&-4\end{array}\right]=\left[\begin{array}{c}24&-8\end{array}\right]](https://tex.z-dn.net/?f=T%28%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%26-4%5Cend%7Barray%7D%5Cright%5D%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D4%26-2%5C%5C5%267%5C%5C%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D4%26-4%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D24%26-8%5Cend%7Barray%7D%5Cright%5D)
We found out that the image of
through T is the vector ![\left[\begin{array}{c}24&-8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D24%26-8%5Cend%7Barray%7D%5Cright%5D)
Answer:
23
Step-by-step explanation:
f(x)=3 − 4x
Let x=-5
f(-5) = 3-4(-5)
= 3 -(-20)
= 3+20
=23
Answer:
c=4n
Step-by-step explanation:
hope this helps
Answer:
add please give me a heart and all the stars thanks. and love you all!!
Step-by-step explanation: you add the parallelograms together