Answer:
<u>3rd graph (on bottom left)</u>
Step-by-step explanation:
First, find the <u>zeros of the function</u>.
- f(x) = x² - x - 2
- f(x) = x² + x - 2x - 2
- f(x) = x(x + 1) - 2(x + 1)
- f(x) = (x - 2)(x + 1)
The zeros are :
- x - 2 = 0 ⇒ x = 2
- x + 1 = 0 ⇒ x = -1
Therefore, the graph of the function intersects the x-axis at :
The correct graph is <u>3rd graph (on bottom left)</u>
Answer:
50 rooms with kitchen facilities and 100 rooms without kitchen facilities
Step-by-step explanation:
Let the rooms without kitchen facilities be x and those with kitchen facilities be y
Form set of equations
Since the total rooms are 15, then the first equation is
x+y=150
Therefore, x=150-y
Considering the cost of rooms and what was collected, then
80x+100y=13000
Substituting x with 150-y then
80(150-y)+100y=13000
12000-80y+100y=13000
20y=1000
Therefore, x=150-y=150-50=100 rooms
Therefore, there are 50 rooms with kitchen facilities and 100 rooms without kitchen facilities
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If the ideal is 50 and the max variation is 7/32in, then that's 7/32 under 50 and 7/32 over 50.
<span>So, 50-7/32= 49 25/32, and 50+7/32 = 50 7/32. </span>
<span>So the acceptable width is 49 25/32 to 50 7/32.</span>
Answer:
145/2
Step-by-step explanation:
d=[2x+1-x] = [5x+1 -(2x+1)]
x+1=3x
x-3x=-1
-2x=-1
x=1/2
therefore first term is 1/2
second term is 2(1/2)+1= 2
common difference d is 2-1/2=3/2
sum of first n terms is n/2 [2a+(n-1)d] where n=10
sum of first 10 terms= 10/2[2×1/2+(10-1)3/2]
=5[1+(9)3/2] =5[1+27/2] = 5[29/2] =145/2
