The slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
Step-by-step explanation:
If the line is passing through two points (x1, y1) and (X2, y2). The slope (m) can be calculated using following formula.
In this case,
x1 = 5
x2 = 7
y1 = 80
y2 = 65
By putting the values in formula, we get
or
m = -7.5
Therefore, the slope of a trend line that passes through the points (5, 80) and (7, 65) is -7.5.
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Answer:The coordinates of point P are -8, -4.
Step-by-step explanation:
To find the inverse you have steps
1. replace f(x) with y
2. swich x and y places
3. solve for y
4. replace y with f⁻¹(x) (read 'f inverse')
so we have
f(x)=2x+1
replace f(x) with y
y=2x+1
switch x and y
x=2y+1
solve for y
x=2y+1
subtract 1
x-1=2y
divide both sides by 2
=y
y=
repplace y with f⁻¹(x)
f⁻¹(x)=
The binomial expansion:
a = 2y, b = 4 x^3, n = 4
( x )^3k = x^ 9
k = 3
Answer: the coefficient is
512.
Answer:
Step-by-step explanation:
Mathematicians stand on each other's shoulders. — Carl Friedrich Gauss We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.
