<u>Note</u>:
<u>Slope intercept form</u>: y = mx + b
<u>Standard slope form</u>: Ax + By = C
<u>Point slope form</u>: (y-y1) = m(x - x1)
m = slope.
10.
Form: Slope intercept form
Slope: 6/7
y-intercept = 1
11.
Form: Point slope form
Slope = 9
y -intercept = -13
y - 5 = 9 (x-2)
y - 5 = 9x - 18
y = 9x - 18 + 5
y = 9x - 13
12.
Form: Standard slope form
25. Sarah is correct, Katie is incorrect. Both graph have right slope -2/5, but Katie has incorrect y-intercept.
Answer:
86,400
Step-by-step explanation:
see explanation
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6. + 15. + 20. + 15.1² + 6. + 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458 + 729
--------------------------------------------------------------------------------------
= 1 - 18x + 135x² - 540x³ + 1215 - 1458 + 729
----------------------------------------------------------------------------------
Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
----------------------------------------------------
(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Increasing powers of 2x from to
= 1. + 5. + 10. + 10. + 5.+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32
Gregs age is 13
13 + 13 = 26
which is equivalent to 13 × 2 = 26