9514 1404 393
Answer:
(a) x + 0
Step-by-step explanation:
When translation is up or down, the x-coordinate doesn't change. It will be ...
x + 0
So the “certain number” will be S.
Since 2width + 2length, the first part would be 2 times 2 which is 4
The length is S - 3
We then have to multiply this by 2
So it is 2(S-3) which is 2S-6
So the answer is 4+2S-6 which is 2S-2
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.
Answer:
b. Engine oil E will cause a significant improvement is gas mileage.
Step-by-step explanation:
The research was conducted with the random vehicles who were introduced with Engine oil E. When compared with engine oil E and the generic oil the vehicle that uses engine oil E performed better. The gas mileage of such vehicles improved significantly as compared to other vehicles who received generic oil.
y=−3x+9 slope of this equation is -3 and y-intercept is 9
Plot the y -intercept first which is 9 and mark the points using the slope which is -3. Join the points. So blue line in the graph is y = -3x+9
y=−x−5 slope of this equation is -1 and y intercept is -5
Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5
The intersection point of these two lines gives you the solution.
The coordinates of point of intersection (7,-12)
