1. x - 4
x - 6|x² - 10x + 24
- (x² - 6x)
-4x + 24
- (4x + 24)
0
The answer is C.
2. A. 9x² + 12x - 3
3(x²) + 3(4x) - 3(1)
3(x² + 4x - 1)
B. 9x² + 3x - 5
Not Factored
C. 6x² + 10x - 4
2(3x²) + 2(5x) - 2(2)
2(3x² + 5x - 2)
2(3x² + 6x - x - 2)
2(3x(x) + 3x(2) - 1(x) - 1(2))
2(3x(x + 2) - 1(x + 2))
2(3x - 1)(x + 2)
D. 6x² + 7x - 6
Not Factored
The answer is C.
3. 3x³ - 4x² + 3x - 6
x + 2|3x⁴ + 2x³ - 5x² + 0x - 4
- (3x⁴ + 6x³)
-4x³ - 5x²
- (-4x³ - 8x²)
3x² + 0x
- (3x² + 6x)
-6x - 4
- (-6x - 12)
8
The answer is A.
<span>Here is the real life situation that goes with c = 40/h... You have 40 cupcakes. You give the same number of cupcakes to "h" number of people. How many cupcakes does each person have? Let c be the number of cupcakes for each person</span>
30% = 3/10 = .3
70 x .3 = 21
Answer:
The, value x for the give problem is 20 units.
Step-by-step explanation:
Consider triangle ABC,
Now, from the attached figure
Given that
PQ || AB
CP = 8units
PA = 6 units
CQ = x = ? units.
QB = 15 units
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (8) / (6) = (x) / (15)
On applying cross multiplication then
⇛ 8(15) = x(6)
⇛ 120 = 6x
⇛ x = 120÷6
⇛ x = 120/6
Therefore, x = 20 units.
<u>Answer</u>: Hence, value of x is 20 units.
<u>Additional comment:</u>
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio"
Please let me know if you have other questions.
Well first we need to make a function, this is increasing proportionally so we know the equation will be
Now its increasing by 6 for each step in x so
If we plug in when x = 1 and y = 2(the first given term)
Now the arithmetic sequence can sbe represented by
If you plug in 18, well get the 18th term
The 18th term is 104