Answer:
720 miles
Step-by-step explanation:
We are given a distance and a fraction of the total that it represents. This lets us write the relation ...
252 = 0.35D . . . . . . where D is the total distance traveled
252/0.35 = D = 720 . . . . divide by the coefficient of D
The Hernandez family traveled 720 miles during their vacation.
Answer:
The inequality is 6x ≥ -24
The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
Step-by-step explanation:
- In the inequality not more than means ≤
- In the inequality at least means ≥
Let us solve the question
∵ Six times a number x means 6 × x = 6x
∵ At least means ≥
∴ Six times a number x is at least -24 is 6x ≥ -24
∴ The inequality is 6x ≥ -24
Now we will find the solution of the inequality
∵ 6x ≥ -24
→ Divide both sides by 6
∵ 
≥ 
∴ x ≥ -4
∴ The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)
(3,6) (5,3)
(x1,y1)(x2,y2)
The slope equation is: y2-y1
---------
x2-x1
Replace with numbers: 3-6/5-3
Minus 3 and 6 is equal to -3
Minus 5-3 is 2
So the fraction is -3/2 (no need to divide because you can't simplify it)
So the slope is -3/2
For the equation you have to replace the letters by 0's
3×0-2y=6
Times 3 and 0
0-2y=6
Now you want to get the y alone, so minus 0 from both sides
0-2y=6
-0 -0
-2y=6
Divide -2y from the 6
-2y=6
---- ---
-2 -2
y=3
The y intercept is 3 with the slope of -3/2
