Answer/Step-by-step explanation:
The following inequalities can be translated and matched as follows:
1. A number is larger than 5:
Let that number be x. Numbers that are larger than 5 are 6, 7, 8 and so on. Therefore, the number that is larger is greater than 5. This can be represented in the symbolic form as:
x > 5
2. A number is below 5:
Numbers that are below 5 are 4, 3, 2 and so on. Therefore, we can say the number, x, is less than 5. This can be written in symbolic form as:
x < 5
3. A number is not less than 5:
A number that is not less than 5 could equal 5 or any other number that is larger than 5. Therefore, we can say the number, x, equals 5 or greater than 5. This can be written as:
x ≥ 5
4. A number is at most 5:
At most 5, means the number, x, is either 5 or less than 5. This can be written as:
x ≤ 5
One rule of logs is when you add logs, u can combine the parentheses by multiplying so..
log(10a) + log(100a)
log(10a × 100a). now multiply
log(1000a^2)
hope this helps C:
Answer:
see explanation
Step-by-step explanation:
(a)
To find the x- intercepts , let y = 0 , that is
6x - x² = 0 ← factor out x from each term
x(6 - x) = 0
Equate each factor to zero and solve for x
x = 0
6 - x = 0 ⇒ x = 6
Coordinates of P (6, 0 )
(b)
The axis of symmetry is a vertical line, positioned at the midpoint of the zeros
x = 
= 
= 3
Equation of axis of symmetry is x = 3
(c)
Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 6x - x² = - x² + 6x ← is in standard form
with a = - 1, b = 6 , then
= - 
= 3
Substitute x = 3 into y = 6x - x² for y- coordinate
y = 6(3) - 3² = 18 - 9 = 9
coordinates of maximum point = (3, 9 )
54 I think I took 45 minus 40 and got 5 and then added 84 and got 89 but then I took 89 minus 35 and got 54
Answer:
t = 2, t = 3, t = 4, and t = 6.
Step-by-step explanation:
So, we can plug in each t value into the equation to see if it is correct.
9(2) ≤ 107
18 ≤ 107
This is correct because the equation is looking for something that is less than or equal to 107.
9(3) ≤ 107
27 ≤ 107
Same reason as stated above.
9(4) ≤ 107
36 ≤ 107
Same reason as stated above.
9(6) ≤ 107
54 ≤ 107
Same reason as stated above.
Therefore, t = 2, t = 3, t = 4, and t = 6 are all solutions to the inequality.
