Answer:
A = -10.5
Step-by-step explanation:
To find the value of "A", you can plug x = 2 and f(x) = 3 into the equation. This will allow you to simplify and find the value of "A".
f(x) = 4x³ + Ax² + 7x - 1 <---- Original equation
3 = 4(2)³ + A(2)² + 7(2) - 1 <---- Plug x = 2 and f(x) = 3 into equation
3 = 4(8) + A(4) + 14 - 1 <---- Solve 2³ and 2²
3 = 32 + A(4) + 14 - 1 <---- Multiply 4 and 8
3 = 45 + A(4) <---- Combine like terms
-42 = A(4) <---- Subtract 45 from both sides
-10.5 = A <---- Divide by 4
If A = -10.5, the final equation would look like this:
f(x) = 4x³ - 10.5x² + 7x - 1
Answer:
11 hours
Step-by-step explanation:
Let's say Karen makes x hours babysitting and y hours giving music lessons.
Because she worked a total of 18 hours, we know that x + y = 18.
5 * x is how much money she earns babysitting for x hours, while 12 * y is how much money she earns giving music lessons for y hours. Adding them up gives her total revenue:
5x + 12y = 139
We now have a system of equations. Let's multiply both sides of x + y = 18 by 12:
12 * (x + y) = 18 * 12
12x + 12y = 216
Now, subtract 5x + 12y = 139 from 12x + 12y = 216:
12x + 12y = 216
- 5x + 12y = 139
_________________
7x + 0y = 77
Divide both sides by 7:
x = 11
Thus, Karen spent 11 hours babysitting.
Answer:
Step-by-step explanation:
by synthetic division
3) 1 -1 -11 15
| 3 6 -15 (add)
____________
1 2 -5 |0
x²+2x-5=0
The answer is B) 1/3.
There are 6 faces on a rectangular prism, each of which is a rectangle.
The area of the front and back is given by 25(8) = 200 sq. cm.
The area of the bottom and top is given by 25(4) = 100 sq. cm.
The area of the right and left is given by 4(8) = 32.
There are 2 faces out of 6 with an area that is not a multiple of 100; 2/6 = 1/3.
It would be 1284 divided by 9 and then u round it which is 1284 / 9 =142.666 which can be rounded up to 140 or 143
