The equations classified according to the number of solutions are given as follows:
- No solution: -3(3q + 4) = -6q + 12
- One solution: -2(3n - 4) = -6n - 4
- Infinitely many solutions: 8z - 4 = 8z - 4
<h3>How many solutions does the equation 4(2z - 1) = 8z - 4 has?</h3>
We solve the equation, hence:
4(2z - 1) = 8z - 4
8z - 4 = 8z - 4
Equivalent, hence they have infinitely many solutions.
<h3>How many solutions does the equation -2(3n - 4) = -6n - 4 has?</h3>
-2(3n - 4) = -6n - 4
-6n + 8 = -6n - 4
0 = -12, which is false, hence it has no solutions.
<h3>How many solutions does the equation -3(3q + 4) = -6q - 12 has?</h3>
-3(3q + 4) = -6q + 12
-9q - 12 = -6q + 12
3q = -24
q = -8.
One solution.
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<u>Given</u>:
Given that the pie chart shows the relative frequency distribution resulting from a survey of 6000 US rural households with internet connections in a certain year.
We need to determine the total number of households with each type of internet in the survey.
<u>Cable modem:</u>
Since, the relative frequency distribution for cable modem is 0.142
The total number of households that use cable modem is given by
Thus, 852 households use cable modem.
<u>DSL</u>:
Since, the relative frequency distribution for DSL is 0.092
The total number of households that use DSL is given by
Thus, 552 households use DSL.
<u>Dialup</u>:
Since, the relative frequency distribution for dialup is 0.747
The total number of households that use dialup is given by
Thus, 4482 households use dialup.
<u>Others</u>:
Since, the relative frequency distribution for others is 0.019
The total number of households that use others is given by
Thus, 114 households use others.
Answer:
a) , b) (clockwise)
Step-by-step explanation:
The resultant velocity of the boat must be:
Likewise, the velocity of the current is:
a) The intended velocity of the boat is:
b) The direction of the boat is:
(clockwise)
(clockwise)
Answer:
slope = 0
Step-by-step explanation:
y = - is the equation of a horizontal line parallel to the x- axis.
Since it is parallel to the x- axis the slope = 0
Thus any line parallel to it will have a slope = 0
Answer: x=2 Please mark as brainliest
Step-by-step explanation: 16+7+4x=x+3x+7
combine like terms: 23+4x=4x+7
get x to one side: 23=8x+7
subtract: 16=8x
divide: x=2