To
answer this item, we use the equation given for the calculation of the area of
the triangle.
A
= 0.5bh
Substituting
the known expressions,
A = (0.5)(3x – 6)(2x + 4)
Part
A: Use distribution method to simplify the expression for the calculation of
area.
A
= 0.5(6x^2 + 12x – 12x – 24)
A
= 0.5(6x^2 – 24)
<span> A
= 3x^2 – 12</span>
Part B: The equation for area of has a degree of two
because the highest exponent is 2.
<span>Part
C: The closure property of polynomials is always closed for multiplication.</span>
Writing the two equations in full and subtracting R(x) from W(x) to arrive at D (x) gives the answer. This is shown below;
W(x) = 0.002x^3 - 0.01x^2 + 0x + 0
R (x) = 0x^3 + x^2 - 4x +13 -
-----------------------------------------------
D(x) = 0.002x^3 -1.01x^2 + 4x - 13
Answer:
60
Step-by-step explanation:
Total degree of triangle interior angles is 180
So x+2x+3x=180
6x=180
x=30
Measurement of angle C is 2x which is 60 degree
<span>The table shows the outputs, y, for different inputs, x:
Input (x) 1 3 5 7
Output (y) 8 6 5 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Yes, the data in the table represent a function. The reason is that given an input (value of x), in the domain of the function (which is 1, 3, 5, 7), you can state the correspondant output (value of y) without ambiguity.
Part B: Compare the data in the table with the relation f(x) = 4x + 8. Which relation has a greater value when x = 3? (2 points)
x = 3 => f(3) = 4(3) + 8 = 12 + 8 = 20
While the image of 3 in the data is y = 6.
So, the function f(x) = 4x + 8 has a greater value when x = 3.
Part C: Using the relation in Part B, what is the value of x if f(x) = 76? Be sure to show all your work.
f(x) = 76 = 4x + 8 => 4x = 76 - 8 = 68
=> x = 68/4 = 17
</span>
Answer:
It will take 10^3 days for the comet to reach earth.
Step-by-step explanation:
10^8 = 100,000,000
10^5 = 100,000
100,000,000/100,000 = 1,000
1,000 is equal to 10^3
So it will take the comet 10^3 days to reach earth.
