Answer:
Here, denotes the required number.
Step-by-step explanation:
Let denotes the required number that satisfies the following condition.
''seven times a number is less than or equal to a quantity that is 24 less than that same number''
Seven times a number is equal to
Quantity that is 24 less than that same number is equal to
Now find the inequality.
As seven times a number is less than or equal to a quantity that is 24 less than that same number,
Answer:
Step-by-step explanation:
The given line is defined by: , where we see that the slope is 5 and the y-intercept 1.
In order to find a line perpendicular to the given one, we need it to have a slope that is the "opposite of the reciprocal" of the given slope.
"Opposite" means it would have its sign inverted (in our case from positive to negative); and "reciprocal means that instead of 5, it would be its reciprocal: .
We can write this new line with such slope, and try to find its y-intercept (b) by using the given condition that requires it to go through the point (-5,-4) on he plane:
we require then that when , the value of
.
Therefore:
Then our final answer is that the new line should have the form: