Step-by-step explanation:
3/5x + 5 = 4/5
3/5x + 5 (-5) = 4/5 (-5)
3/5x = -4 1/5
3/5x/(5/3) = -4 1/5(/)(5/3)
x = (- 21/5)/ (5/3)
x = -21/5 x (3/5) (flip the signs by flipping the second fraction and the divide to a multiply)
x = -21/5 x 3/5
x = -63/25 or x = - 2.52
hope this helps
How To Solve Systems of Inequalities Graphically
1) Write the inequality in slope-intercept form or in the form
y
=
m
x
+
b
y=mx+b
.
For example, if asked to solve
x
+
y
≤
10
x+y≤10
, we first re-write as
y
≤
−
x
+
10
y≤−x+10
.
2) Temporarily exchange the given inequality symbol (in this case
≤
≤
) for just equal symbol. In doing so, you can treat the inequality like an equation. BUT DO NOT forget to replace the equal symbol with the original inequality symbol at the END of the problem!
So,
y
≤
−
x
+
10
y≤−x+10
becomes
y
=
−
x
+
10
y=−x+10
for the moment.
3) Graph the line found in step 2. This will form the "boundary" of the inequality -- on one side of the line the condition will be true, on the other side it will not. Review how to graph a line here.
4) Revisit the inequality we found before as
y
≤
−
x
+
10
y≤−x+10
. Notice that it is true when y is less than or equal to. In step 3 we plotted the line (the equal-to case), so now we need to account for the less-than case. Since y is less than a particular value on the low-side of the axis, we will shade the region below the line to indicate that the inequality is true for all points below the line:
5) Verify. Plug in a point not on the line, like (0,0). Verify that the inequality holds. In this case, that means
0
≤
−
0
+
10
0≤−0+10
, which is clearly true. We have shaded the correct side of the line.
Answer:
79 feet per second
Step-by-step explanation:
Convention: upwards positive
s = ut + 0.5at²
94 = 2u + 0.5(-32)(2²)
2u = 158
u = 79 feet/second
