The system of the equation doesn't give the solution at (-3, -6).
<h2>Given to us</h2>
<h3>Equation 1,</h3>
-4x+y = 6
solve for y
<h3>Equation 2,</h3>
5x-y =21
substitute the value of y in equation 2,
Substitute the value of x in equation 2,
We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.
Hence, the system of the equation doesn't give the solution at (-3, -6).
Learn more about system of equations:
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Answer:
Step-by-step explanation:
24,000 = 24 thousands
30,000 = 30 thousands
3,000 = 3 thousands
2,4000 = 2.4 thousands
"x" years
24 + 3x = 30 + 2.4x
3x - 2.4x = 30 - 24
0.6x = 6
x = <em>10 years</em>
<h3>Slope = 10</h3><h3>y intercept at (0,750)</h3><h3>x intercept at (-75, 0)</h3>
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Explanation:
The function f(x) = 10x+750 is the same as y = 10x+750
It is in the form y = mx+b where m = 10 is the slope and b = 750 is the y intercept. So that covers the first two parts of the answer.
The x intercept is found by replacing y with 0, then solving for x like shown below
y = 10x + 750
0 = 10x + 750
10x + 750 = 0
10x = -750 ....... subtract 750 from both sides
x = -750/10 .... divide both sides by 10
x = -75
So x = -75 plugged into the function leads to y = 0
Meaning that x = -75 and y = 0 pair up together to get the point (-75,0) which is the x intercept. This is the location where the line crosses the x axis.
Answer:
$73.89
Step-by-step explanation:
We have been given that Kathy Parker's employer pays 65% of the total cost of her $5,489 health insurance premium.
This means Kathy pays 35% of her health insurance premium.
Let us find 35% of $5489.
As we are asked to find Cathy's biweekly deduction for the insurance we will divide amount of premium paid by Cathy by 26 as biweekly is paid 26 times per year.
Therefore, Cathy's biweekly deduction for the insurance is $73.89.
Answer:
c
Step-by-step explanation:
because it have the same length
