Answer:
X to the second power + 5x + 6
Step-by-step explanation:
distribute (X + 2) and (X + 3)
you should get X to the second power + 3x + 2x + 6
then you add like terms (3x + 2x)
then you should get X to the second power + 5x + 6
Answer:
Initial value = 10, slope = 4
Step-by-step explanation:
Initial value is the point where x takes its lowest value. In this case it is x = 0 and y = 10. Rate of change is the slope at a given point. Because this is a first order equation graph the slope is always the same. And in this case it is 4 as for every 1 unit of x the y goes 4.
the formula for area of a rectangle is
Area = length x width
since both the length and the width of the rectangle lie on the same x and y axis, we can find the distance between the width and the distance between the length by subtracting
(-4,9) (-4,-3)
these points lie on the same x axis, so they create a vertical line
9-(-3) = 12
12 units is the distance between them
(-4,-3) (-1,-3)
these points lie on the same y axis, so they create a horizontal line
-1-(-4) = 3
3 units is the distance between them
now that we have the length and the width, we can find the area
A = 12 x 3
A = 36 units²
Answer:
Henny = (x-8) dollars
Step-by-step explanation:
Janet's has x dollars.
Henny has $8 less than Janet. It means, the difference between the dollars own by Janet's and Henny is 8.
Henny has = (x-8) dollars
Hence, the expression that shows dollars Hanley has is (x-8).
x - boat speed; y - current speed; Path = 336:2 = 168 miles
1) 12 * (x + y) = 168; -> x + y = 14;
2) 14 * (x - y) = 168; -> x - y = 12;
1) x = 14 - y;
2) (14 - y) - y = 12;
14 - 2y = 12;
2y = 2;
y = 1 mph
x = 14 - 1 = 13 mph
Answer:
Boat speed = 13 mph
Current speed = 1 mph