The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
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Answer:
135°
Don't worry I won't scam you
Step-by-step explanation:
If you look closely at the figure you can see it is divided into fourths, as squares.
We know that squares have a right angle measuring 90°.
We can also see that that 90° is split in two.
So let's do the math...
90° / 2 = 45°
Okay so the giant triangle holding w° has it's corner measuring 45°. So the little parallelogram in the triangle has one of it's angles measuring 45°. Since angles are congruent we know that another angle measures 45°. We also know that a parallelograms angles must always add up to the magic number of 360°. So our equation is
45° + 45° + w° + w° = 360°
90° + 2w° = 360°
90° - 90° + 2w° = 360° - 90°
2w° = 270°
2w° / 2 = 270° / 2
w° = 135°
Hope this helped you. It's really hard to explain through typing without being able to point at the model you gave
Answer:
This is the reduced row-echelon form
from the augmented matrix
Step-by-step explanation:
To transform an augmented matrix to the reduced row-echelon form we need to follow this steps:
1. Write the system of equations as an augmented matrix.
The augmented matrix for a system of equations is a matrix of numbers in which each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign) and each column represents all the coefficients for a single variable.
2. Make zeros in column 1 except the entry at row 1, column 1 (this is the pivot entry). Subtract row 1 multiplied by 2 from row 2
3. Subtract row 1 multiplied by 3 from row 3
4. Since element at row 2 and column 2 (pivot element) equals 0, we need to swap rows. Find the first non-zero element in the column 2 under the pivot entry. As can be seen, there are no such entries. So, move to the next column. Make zeros in column 3 except the entry at row 2, column 3 (pivot entry). Divide row 2 by 2
5. Subtract row 2 multiplied by 3 from row 1
6. Subtract row 2 from row 3
7. Make zeros in column 4 except the entry at row 3, column 4 (pivot entry). Subtract row 3 multiplied by 7 from row 1
8. Add row 3 to row 2
9. Multiply row 3 by 2
Answer:
<h2>The price should be either $3 or $20.</h2>
Step-by-step explanation:
The relationship between the number of calculators sold, x and the price p is given by two equations. R reffers the revenue of the company.
- x = 2300 - 100p.
- R = xp or, 6000 = xp or, .
Now, <u>putting the value of the second equation in first equation</u>, we get
.
The price is either $3 or $20.