X=-2 and y=3.
The first step we take is to substitute the value for y from the second equation into the first equation:
4x+5(3x+9)=7
This is justified by substitution. The next step is:
4x+5*3x+5*9=7
4x+15x+45=7
This is justified by the distributive property. The next step is:
19x+45=7
This is justified by addition of like terms. The next step is:
19x+45-45=7-45
19x=-38
This is justified by the subtraction property of equality. The next step is:
19x/19 = -38/19
x=-2
This is justified by the division property of equality. The next step is:
y=3(-2)+9
y=-6+9
y=3
This is justified by substitution, multiplication and addition, in that order.
Answer:
(21, 80)
Step-by-step explanation:
We have the two lines y = 4x -4 and y = 3x + 17. The point 'C' will be given by the interception of them, as follows:
4x -4 = 3x + 17
Solving for 'x':
x = 21
Now, to find 'y' we have:
y = 4(21) -4 = 80
Therefore, they intercept at: (21, 80)
Answer:
b. False
Step-by-step explanation:
In a fixed-order-quantity system, when there is uncertainty in demand, the average demand will lead to a high probability of a stockout which is in contrast to what is stated in the question. Thus, the answer is false.
An example of a domain that can be illustrated from the information given will be D(x) = 32.
<h3>Domain and range</h3>
An example based on the information given is "A gas tank in John's car can hold 20 gallons of gas and the car gets 32 miles for every gallon".
John fills up the tank and then goes on a trip. In this case, the distance that will be travelled on one tank will be:
D(x) = 32x
In the above function, it should be noted that the number of gallons can be from 0 to 20. Since he gets 32 miles per gallon, the car can travel 640 miles.
In this case, the domain is the number of gallons that can be used. The number of miles will be the range.
Learn more about domains on:
brainly.com/question/2264373
Answer:
95 - 20 = <em>t</em>
Step-by-step explanation:
Let's start with the facts. You know that Mike's test score is 20 points lower than Mark's. You know that Mark's score was 95.
If we are trying to find Mike's test score, <em>t</em>, the equation would be this:
The equation would be 95 - 20 = <em>t</em>
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<em>I hope this helps :)</em>
