y = 2x + 7
the equation of a line in ' slope-intercept form ' is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the ' gradient formula '
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (1, 9)
m =
= 2
given the point (0, 7 ) then c = 7
y = 2x + 7 ← in slope-intercept form
We need 500 ml of alcohol mixture and 50 ml of water.
<u>Step-by-step explanation:</u>
The 50% concentration of the final solution is a result of mixing the 55% concentration with water, which is 0% concentration. Multiply the concentration of each liquid times the # of ml you will use, add these and divide by the total ml to get 50%
x = the number of ml of the 55% alcohol mixture
y = the number of ml of water
x + y = 550
Again, the 0 above represents the water which is 0% concentration
= 0.50
0.55 x = 275
x =
= 500
plug 500 into the equation x + y = 550
500 + y = 550
y = 50
Use 500 ml of the 55% solution and 50 ml of water.
Answer:
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Step-by-step explanation:
When multiplying you use the number with least amount of significant figures in it since both 0.00045 and 0.0015 have two significant figures in them our final answer will have two significant figures in it. So the to solve and express in scientific notation we simply multiply:
(0.00045)(500,000)
0.0015 = .3375 but in scientific notation to two significant figures we write:

Answer:
1/16
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The rate of change is
f(x2) - f(x1)
------------------
x2-x1
Since this is a line we can pick any two points on the line, one befre x=1 and one after x=1
Let x=0 and x=2
f(2) - f(0)
-------------
2-0
4-2
-------
2
2/2
1
The rate of change is 1