Answer:
x>7 or x ≤ -3
Step-by-step explanation:
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Answer:
4:120
Step-by-step explanation:
for 120 student they would be 4 teacher needed per 30 student
4:120
Answer:
Each shirt was $8.30
Step-by-step explanation:
Answer: 20
H(c) = 6.4 + 0.6c
<u>6.4</u> is the constant.
When the height of the cups is <u>18.4</u> the function is:
18.4 = 6.4 + 0.6c
Then, you add <u>6.4</u> from both sides
18.4 - 6.4 + 6.4 = 6.4 + 0.6c - 6.4 + 6.4
Simplify
18.4 = 6.4 + 0.6c
Switch sides
6.4 + 0.6c = 18.4
Multiply both sides by <u>10</u>
6.4 x 10 + 0.6c x 10 = 18.4 x 10
Refine
64 + 6c = 184
Subtract <u>64</u> from both sides
64 + 6c - 64 = 184 - 64
Simplify
6c = 120
Divide both sides by <u>6</u>
6c/6 = 120/6
c = <u>20</u>
Answer:
y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6.
