You are basically just adding, so combine like terms.
3x^2 + 5x^2 = 8x^2
6x - 2x = 4x
4 - 8 = -4
So the answer is D.
The expression for is simply the sum of the expressions of and .
So, you have
Answer:
x ≈ 15.9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 6² = 17²
x² + 36 = 289 ( subtract 36 from both sides )
x² = 253 ( take the square root of both sides )
x = ≈ 15.9 ( to the nearest tenth )
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
That sucks.
y=20x
Since y represents the total cost y is the total. 20x because it is 20 dollars an hour and x after 20 because we do not know how many hours they will plan for lessons.
3y + 2x - 10 = 0
in standard form
2x + 3y -10=0
||
as (ax + by - c = 0)
m = -a/b
= -2/3
or
make y subject
y = -2/3x + 10/3