-4 ≤ x ≤ 6
x ≥ -4
3x ≥ -12
3x + 12 ≥ 0
3x + 14 ≥ 2
6 ≥ x
6 - x ≥ 0
1 - x ≥ -5
A. 3x + 14 ≥ 2 and 1 - x ≥ -5
Answer: y = -3(x +
)² +
,
,
<u>Step-by-step explanation:</u>
First, you need to complete the square:
y = -3x² - 5x + 1
<u> -1 </u> <u> -1 </u>
y - 1 = -3x² - 5x
y - 1 = -3(x² + 
y - 1 + -3(
) = -3(x² +
+
)
↑ ↓ ↑
= 
y - 1 -
= -3(x +
)²
y -
-
= -3(x +
)²
y -
= -3(x +
)²
y = -3(x +
)² +
Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>
Vertex =
,
Answer:
$9.60
Step-by-step explanation:
The question above is a simple interest question.
The formula for the amount of money after a given period of time using simple interest is given as:
A = P(1 + rt)
Where
P = Initial Amount saved or invested = $8
R = Interest rate = 5%
t = Time in years = 4
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 8(1 + (0.05 × 4)) = 9.6
A = $9.60
The amount of money that will be in a bank account after 4 years is $9.60
Answer:
1/4
Step-by-step explanation:
Answer: The last answer is correct
Step-by-step explanation:
BAC and BCA are the same because A=70 degrees B=70 degrees.
if the top looks exactly like the bottom or vise versa, its the same degree.