(7,3)
Step-by-step explanation:
X= -2+3y
....
-2+3y-3y=-2
-2+3y+3y=16
.......
6y=18
...
y=3
x=7
Answer:
15.5 inches
Step-by-step explanation:
- Length of rectangle = 22 inches
- Perimeter = 75 inches
To calculate : Width of the rectangle.
★ Perimeter of rectangle = 2( l + w )
→ 75 = 2(22 + w)
→ 75 = 44 + 2w
→ 75 – 44 = 2w
→ 31 = 2w
→ 31 ÷ 2 = w
→ <u>1</u><u>5</u><u>.</u><u>5</u><u> </u><u>inches</u><u> </u><u>=</u><u> </u><u>Width</u>
Therefore, width of the rectangle is 15.5 inches.
Answer:
6
Step-by-step explanation:
M=2*2*3*5*5=300
N=2*2*2*3*3*7=504
Common factors between the two numbers are 2 and 3
The GCF(greatest common factor):
2×3 = 6
To see if it is true:
300/6 = 50
504/6 = 84
6 is the answer to the question.
Answer:
750
Step-by-step explanation:
10 times 5 times 15
<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>
Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get
f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24
So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5
<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5
The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.
So the final answer is C) 3