Answer:x= 3 y=6
Step-by-step explanation:
Answer:
142 degrees
Step-by-step explanation:
Since line M is straight, we know that the sum of the measure of angle 7 and 38 degrees must be 180. So we can set up an equation. Let's set the measure of angle 7 to be x
38 + x = 180
we can subtract 38 from both sides to find
x = 180-38 = 142
Answer:
3 oil changes
Step-by-step explanation:
1. Find an equation that represents this word problem: 3000x + 5000 = y
Where y = the # of miles total. y = 250 miles/week * 52 weeks/year = 13000 miles.
2. Solve for x: 3000x + 5000 = 13000 3000x=8000
3. x = 8/3 integer round down x = 2 oil changes, but plus the one after 5000 miles is a total of 3 oil changes that year
we have
To find the zeros equate the function to zero
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
square root both sides
therefore
the answer is
The zeros of the quadratic function are
and 
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
