Answer:
x = 5/2,2
Step-by-step explanation:
First do 12-5, which equals 7. Next, subtract 1/10 from 2/5. 2/5 is the same as 4/10 if you multiply both the numerator and denominator by 2. 4/10-1/10=3/10. Now add 7 and 3/10. You will get 7 3/10 as the answer, which is letter C.)
Answer:
Sequence 1
Step-by-step explanation:
<u>You need to find the difference between term - the nth term.</u>
<u>The difference / nth term has to to -1/2 (-0.5)</u>
Sequence 1:
-6 * -0.5 = 3 * -0.5 = -3/2 (-1.5) * -0.5 = 3/4 (0.75) * -0.5 = -3/8 (-0.375)
Sequence 2:
4 * -2 = -8 *-2 = 16 * -2 = - 32 * -2 = 64
Sequence 3:
-1/3 ÷ 2 = -1/6 ÷ 2 = 12 ÷ 2 = 24 ÷ 2 = 48
Sequence 4:
400 ÷ -2 = -200 ÷ -2 = 100 ÷ -2 = -50 ÷ -2 = 25
The only sequence with a common ratio of -1/2 is Sequence 1.
Answer:
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (2, - 4), thus
y = a(x - 2)² - 4
To find a substitute (- 3, - 3) into the equation
- 3 = a(- 3 - 2)² - 4
- 3 = 25a - 4 ( add 4 to both sides )
1 = 25a ( divide both sides by 25 ), hence
a = 
y = (x - 2)² - 4 ← in vertex form
= (x² - 4x + 4) - 4 ← in expanded form
Hence the coefficient of the x² term is
