Answer: g(f(-1))=-22
Step-by-step explanation:
To find g(f(-1)), you want to first want to solve f(-1). Once you solved that, you plig the answer you get into g(x). Then, you will have your final answer.
f(-1)=-(-1)²+4(-1)-9 [exponent]
f(-1)=-1+4(-1)-9 [multiply]
f(-1)=-1-4-9 [subtract from left to right]
f(-1)=-14
We have found that f(-1)=-14. Now, we know in -14 into g(x) and solve.
g(-14)=(-14)-8 [subtract]
g(-14)=-22
Now, we know that g(f(-1))=-22.
The answer I believe it is, is b and the box would be -1
Answer:
Firstly, it is important to note that the multiplication of matrices is done in this way:
Columns x Rows or viceversa
Now, two matrices can be multiplied only if their dimensions are compatible, which means that the number of columns in the first matrix must be equal to the number of rows in the second matrix.
In other words:
Two matrices A and B are said to be multiplies if the number of columns in A coincides with the number of rows in B.
In this context, the correct option is:
![\left[\begin{array}{c}1&-1\end{array}\right] \left[\begin{array}{cc}0&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1%26-1%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%264%5Cend%7Barray%7D%5Cright%5D)
Where A is:
![\left[\begin{array}{c}1&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D1%26-1%5Cend%7Barray%7D%5Cright%5D)
And B is:
![\left[\begin{array}{cc}0&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%264%5Cend%7Barray%7D%5Cright%5D)
As you can see, the number of columns in A coincides with the number of rows in B
Answer:
No Solution
Step-by-step explanation:
For the left side of the equation, we can use distributive property
3(x-4)= 3x+2
3x-12=3x+2
+12 +12
3x= 3x+14
-3x -3x
0 is not equal to 14
No Solution
This is quite simple, first, you must find the area of each shape, since the form of the prism is currently 2D.
Formula for (Area of Rectangle)= length x width
Formula for (Area of Triangle)= 1/2 base x height
Now, we have the formulas. Let’s get started!
(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.
Triangles~ the base is 6 and the height is 4.
1/2 (6 x 4) = 12
However, there’s two triangles. (of the same size)
12 x 2 = 24
Rectangles 1 and 2~ the length is 5 and the width is 7
5 x 7 = 35
However, there’s two rectangles. (of the same size)
35 x 2 = 70
Rectangle 3~ the length is 6 and the width is 7
6 x 7 = 42
There’s only one of these.
Now we add all the areas of the shapes together!
24 + 70 + 42 = 136
The surface area is 136.
