A Point-Slope equation of a straight line has this form: y - y1 = m(x-x1)
We can recognize any points of the graph.
(0,80000) ; (10,50000)
Given:
<span>y -50,000 =______(x -10)
We need to find the slope.
Slope = Change in y / Change in x = 80,000 - 50,000 / 0 - 10 = 30,000 / -10 = -3,000
The slope is equal to -3000. Choice A.
</span><span>y -50,000 = -3,000(x -10)</span>
Answer:
0.5
Step-by-step explanation:
From the graph given ;
The vertical distance ; y - axis :
(y2 - y1) ; y2 = 2 ; y1 = 1
y2 - y1 = 2 - 1 = 1
The horizontal distance ; the x - axis :
(x2 - x1) ; x2 = 4 ; x1 = 2
x2 - x1 = 4 - 2 = 2
The slope ; the rate of change :
Change in y / change in x
The rate of change ;
(y2 - y1) / (x2 - x1) = 1 / 2
The total number of 3 digit even numbers is 450
Step-by-step explanation:
Step 1 :
We need to determine the number of 3 digit numbers which is even and the leftmost digit is not zero .
The 3 digits with left most digit not equal to zero starts from 100 and goes up to 998
If we consider only the even 3 digit numbers in this interval, this would form an arithmetic progression with the first number a = 100 and the common difference d = 2.
Step 2:
The last number l in this series is 998 .
So we have
a = 100
l = 998
d = 2
The nth term in the arithmetic progression is given by a + (n-1) d
so substituting the above values we get
100 + (n-1) 2 = 998
2n = 900 => n = 450
Step 3 :
Answer :
The total number of 3 digit even numbers is 450
ANSWER: $84
EXPLANATION:
We need to know the surface area of the room with the specified dimensions.
A = 2(wl + hl + hw)
w = 12
h = 8
l = 16
A = 2( (12 * 16) + (8 * 16) + (12 * 8) )
A = 2(192 + 128 + 96)
A = 2(416)
A = 832 square feet
832 / 150 = 5.546666666666667
(Round that up to the next whole number)
You need 6 gallons, or 6(14) dollars
