Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1
Here you go!! I hope this helps you!!
Answer:
The area of the base is <u>126 mm²</u>.
Step-by-step explanation:
Given:
A rectangular prism that has a 9mm width and 8mm height and a 14mm length.
Now, to find the area of the base of the rectangular prism.
The dimensions of rectangular prism are:
Length = 14 mm.
Width = 9 mm.
Height = 8 mm.
Now, to get the volume of rectangular prism by putting formula:
<u><em>Thus, the volume of rectangular prism is 1008 mm³.</em></u>
Now, to get the area of the base we put formula:
Dividing both sides by 8 we get:
Therefore, the area of the base is 126 mm².
This question is incomplete because the options were not written properly.
Complete Question
On Tuesday Jack bought four boxes. On Wednesday half of all the boxes that he had were destroyed.
Write an expression for how many boxes Jack has now
A. 1/2b+4
B. 1/2+4b
C. 4b−1/2b
D. b+42/2
Answer:
C. 4b−1/2b
Step-by-step explanation:
Let the number of boxes that Jack has be represented by b
In the question, we are told that:
• On Tuesday, Jack bought 4 boxes
Since 1 box = b
4 boxes = 4b
• On Wednesday , half of the boxes where destroyed.
= 1/2 b
The expression for how many boxes Jack has now is given as
Number of boxes Jack bought in Tuesday - half of the boxes destroyers on Wednesday.
This is expressed mathematically as:
4b - 1/2b
