If f(x)= -2 , what is x?

Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease. From 79 miles to 84 m

PolarNik [594]

Answer:

the answer is d.

Step-by-step explanation:

first, you want to use the formula,

new value - original value

____________________

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

______

79 * 100

now we solve it.

5

__

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

____

79 = approximately 6.3% increase (this is not a exact value, just rounded)

or

5

__

79 = approximately 0.063 (this is not a exact value, just rounded)

0.063 * 100 = 6.3% increase

7 0

3 years ago

Let e1= 1 0 and e2= 0 1 , y1= 4 5 , and y2= −2 7 , and let T: ℝ2→ℝ2 be a linear transformation that maps e1 into y1 and maps

Furkat [3]

Answer:

The image of $\left[\begin{array}{c}4&-4\end{array}\right]$ through T is $\left[\begin{array}{c}24&-8\end{array}\right]$

Step-by-step explanation:

We know that $T:$ $IR^{2}$ → $IR^{2}$ is a linear transformation that maps $e_{1}$ into $y_{1}$ ⇒

$T(e_{1})=y_{1}$

And also maps $e_{2}$ into $y_{2}$ ⇒

$T(e_{2})=y_{2}$

We need to find the image of the vector $\left[\begin{array}{c}4&-4\end{array}\right]$

We know that exists a matrix A from $IR^{2x2}$ (because of how T was defined) such that :

$T(x)=Ax$ for all x ∈ $IR^{2}$

We can find the matrix A by applying T to a base of the domain ( $IR^{2}$ ).

Notice that we have that data :

$B_{IR^{2}}=$ { $e_{1},e_{2}$ }

Being $B_{IR^{2}}$ the cannonic base of $IR^{2}$

The following step is to put the images from the vectors of the base into the columns of the new matrix A :

$T(\left[\begin{array}{c}1&0\end{array}\right])=\left[\begin{array}{c}4&5\end{array}\right]$ (Data of the problem)

$T(\left[\begin{array}{c}0&1\end{array}\right])=\left[\begin{array}{c}-2&7\end{array}\right]$ (Data of the problem)

Writing the matrix A :

$A=\left[\begin{array}{cc}4&-2\\5&7\\\end{array}\right]$

Now with the matrix A we can find the image of $\left[\begin{array}{c}4&-4\\\end{array}\right]$ such as :

$T(x)=Ax$ ⇒

$T(\left[\begin{array}{c}4&-4\end{array}\right])=\left[\begin{array}{cc}4&-2\\5&7\\\end{array}\right]\left[\begin{array}{c}4&-4\end{array}\right]=\left[\begin{array}{c}24&-8\end{array}\right]$

We found out that the image of $\left[\begin{array}{c}4&-4\end{array}\right]$ through T is the vector $\left[\begin{array}{c}24&-8\end{array}\right]$

3 0

3 years ago

Evaluate: ƒ(x) = 3 − 4x and ƒ(-5)

Zolol [24]

Answer:

23

Step-by-step explanation:

f(x)=3 − 4x

Let x=-5

f(-5) = 3-4(-5)

= 3 -(-20)

= 3+20

=23

5 0

4 years ago

justin purchased n notebook. they were 4 dollars each. write and equation to represent the total cost c that Justin paid.

AleksandrR [38]

Answer:

c=4n

Step-by-step explanation:

hope this helps

5 0

3 years ago

How do you find the area of triangles turned into parallelograms❓

AysviL [449]

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

3 0

3 years ago