Answer:
true!
Step-by-step explanation:
this is more of a statement then a question.
Answer:
x = 5.75
Step-by-step explanation:
4^(x+7) = 8^(2x-3)
But; 4^(x+7) = 2^2(x+7)
8^(2x-3) = 2^3(2x-3)
2^2(x+7) = 2^3(2x-3)
Since the bases are the same;
2(x+7) = 3(2x-3)
2x + 14 = 6x -9
14 + 9 = 6x - 2x
23 = 4x
x = 23/4
<u>x = 5.75</u>
Answer:
7
Step-by-step explanation:
Let 'x' represent the number of tickets that Teresa sold, and x is integer and x>=0 (you can not sell negative number of tickets)
6 + 2x < 22
x < 8
The range of possible number of tickets that Teresa sold is {0, 1, 2, 3, 4, 5, 6, 7}.
Simplify. Distribute 2 to all terms within the parenthesis
2(m -3) = 2m - 6
Simplify. Combine like terms
2m - 6 + 7 < 21
2m + 1 < 21
Isolate the m. Subtract 1 from both sides
2m + 1 (-1) < 21 (-1)
2m < 20
Isolate the m. Divide 2 from both sides
2m/2 < 20/2
m < 20/2
m < 10
m < 10 is your answer
hope this helps
Answer:
A. d ≤ –7 or d > 8.
Step-by-step explanation:
Given : 2d + 3 ≤ –11 or 3d – 9 > 15.
To find : What are the solutions of the compound inequality .
Solution : We have given 2d + 3 ≤ –11 or 3d – 9 > 15.
For 2d + 3 ≤ –11
On subtracting both sides by 3
2d ≤ –11 - 3 .
2d ≤ –14.
On dividing both sides by 2 .
d ≤ –7.
For 3d – 9 > 15.
On adding both sides by 9.
3d > 15 + 9 .
3d > 24 .
On dividing both sides by 3 .
d > 8 .
So, A. d ≤ –7 or d > 8.
Therefore, A. d ≤ –7 or d > 8.
