Answer:
4
Step-by-step explanation:
The solution of the given inequality 8(u + 8) ≥ 8u+8 is true for all u.
We have given inequality 8(u + 8) ≥ 8u+8
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Expand 8(u + 8)
Subtract 64 from both sides
Simplify given term
Subtract 8u from both sides
Simplify it
Therefore the solution is true for all u.
To learn more about the inequality visit:
If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.
If both workouts were 60 minutes, Dane spent 8 more minutes on cardio exercise than Alina did.
Alina spent less time on cardio exercise than Dane did.
The correct answer is B. If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.
To figure this out, first find 15% of 80 and then 25% of 48.
To find 15% of 80, you can first find 10% of 80 which is 8(just move the decimal one place to the left). The remaining 5% will be half of 8 since 8 is 10%. Add both the numbers up and you will get 12. (8+4=12)
To find 25% of 48, you can divide 48 by 4. Since percent means 'out of 100', 25% is 25 of 100. 100 divided by 25 is equal to 4. So, 48 divided by 4 is equal to 12.
So, the final answer is B. They both equal to 12.
Hope it helps :)
g(x) = 5x + 3
The options are
A)Adding 3 to the function translates the parent graph 3 units up.
B)Adding 3 to the function translates the parent graph 3 units down.
C)Adding 3 to the function translates the parent graph 3 units to the left.
D)Adding 3 to the function translates the parent graph 3 units to the right.
Answer:
Step-by-step explanation:
There are two functions f(x) = 5x and g(x) = 5x + 3
This parent function f(x) has been translated to form a new function g(x) = 5x + 3
These linear functions can be represented by two lines y = 5x and y' = 5x' + 3
So when we shift line y = 5x by 3 units up on the y-axis then a new graph of
y = 5x + 3 will be formed.
Therefore, Option A is the answer.
Answer:
A
Step-by-step explanation:
we have g(x) = 5x+3
we know that 5x=f(x)
so g(x)=f(x)+3
thus g(x) is obtained by adding 3 units to f(x)
that's means the graph of g is obtained by translating the parent function f by 3 units up