Answer:
See the attachment
Step-by-step explanation:
The inequalities resolve to ...
x ≥ 1 or x ≤ -3
You have chosen the correct placement of the lines on the number line. The "or equal to" symbol (≥ or ≤) means the dots at -3 and +1 are filled in, indicating those numbers are part of the solution.
If the ">" or "<" symbol is used in the inequality, the dot is left open, as in the answer you selected. The open dot indicates that value is not part of the solution set.
Answer:
Step-by-step explanation:
<u>Given number:</u>
<u>Prime factors of 19683:</u>
- 19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9
<u>Cube root:</u>
Answer:
WERES THE GRAPH
Step-by-step explanation:
Answer:
The answer is 2
From the function when the input is 2 the output is -7. The inverse reverses the order so the input will be -7 and the output will be 2.
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
