The slope intercept form looks like y=mx+b (m-slope, b is the y intercept)
y+3=1/2(x-2)
y=(1/2)x-(2/2)-3
y=(1/2)x-4
Answer:
Step-by-step explanation:
Well, they are not the same. For one thing, 48÷x = 6 is an equation.
48-x-x-x-x-x-x is an expression, not an equation.
Answer:
Step-by-step explanation:
Your exponential formula is in the form y = ab^x. In this form, the coefficient 'a' is the initial value, the y-intercept, the value when x=0. The value 'b' is the growth factor, which is 1 more than the growth rate per increment of x. This problem is asking for the growth rate to be expressed as a percentage.
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Given p(x) = 78500(1.02^x), we can compare to the exponential function form to see that ...
- a = 78,500
- b = 1.02 = 1 +0.02 = 1 +2%
The value of x is zero in the year 2000, so the population that year is ...
p(0) = a = 78,500
The increase per year is the value of 'b' with 1 subtracted:
growth rate = 2% per year
Answer:
10 units
Step-by-step explanation:
Moving from (-3, -6) to (3, 2), x increases by 6. Draw a triangle and use this 6 as the length of the base. y increases by 8. Label the height of the triangle with this 8. Then find the hypotenuse (which is also the desired distance) by using the Pythagorean Theorem:
6^2 + 8^2 = d^2, where d is that distance:
36 + 64 = 100 = d^2, and so d = 10. The distance in question is 10 units.
Answer:
Samantha's age = 27 years
Step-by-step explanation:
As Samantha is one year less than twice her brother Jack’s age.
As the sum of their ages is 41.
Thus, the equation become
x+2x-1 = 41
3x-1 = 41
3x = 42
Dividing both sides by 3
x = 14
It indicates that Jack's age = 14 years
Therefore,
Samantha's age = 2x-1 = 2(14)-1 = 27 years
