Answer:
a) -6
b) 3
c) Y = -6x + 3
Step-by-step explanation:
Pick two points and find rise/run = slope
rise y1 - y2 = 9 - 3 = 6
run x1 - x2 = -1 - 0 = -1
slope = 6 / -1 = -6
The y intercept is where x = 0 which is given in the table (0,3) so
y intercept = 3
Point slope form is y = mx + b , so
y = -6x + 3
Answer: x=−2.15
Step-by-step explanation : Alright Let's solve your equation step-by-step.
0.5x−2=1.5x+0.15
Step 1: Subtract 1.5x from both sides.
0.5x−2−1.5x=1.5x+0.15−1.5x
−x−2=0.15
Step 2: Add 2 to both sides.
−x−2+2=0.15+2
−x=2.15
Step 3: Divide both sides by -1.
−x
−1
=
2.15
−1
x=−2.15<em> hope this helped!- Alex</em><u> </u>
Answer: D.
You can get the lowest price at Store C
1 inch =25.4 millimeters
therefore to calculate the number of millimeters that are in 57 inches we proceed as follows;
(25.4)/1*57
=1447.8/1
=1447.8 millimeters
The answer is 1447.8 mm
Therefore we conclude that there are 1,447.8 millimeters in 57 inches.
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
