<span>B) 5,630
hope it helps
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Answer:
x⁴ + x³ + 4x² - 5x
Step-by-step explanation:
The polynomials given in the question are:
x⁴ - 3x + 1
4x² - 2x + 8
x³ - 9
We have to add all them
First write all the polynomial in the summation form:
(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)
Open the brackets:
x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9
Group together the similar terms
(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)
Finding the sum in brackets:
x⁴ + x³ + 4x² + (-5x) + (0)
x⁴ + x³ + 4x² - 5x
Note that the sum is in descending powers of x
Arcsin is the inverse function of sine, it switches the sine function (reverses it)
cosec is the reciprocal of sine
Answer:
B) f(x) = -16(x - 1.5)² + 40
Step-by-step explanation:
The equation we have is: h(t) = -16x² + 48x + 4
The answers are all in vertex form, so we need to covert this equation into vertex form by completing the square.
Step 1: factor out -16 from the first 2 terms...
-16(x² - 3x) + 4
Step 2: complete the square on this term...
-16(x² - 3x + (3/2)² - (3/2)²)
-16(x² - 3x + (3/2)²) + 4 + 16(3/2)²
-16(x - 3/2)² + 4 + 16(9/4)
-16(x - 1.5)² + 4 + 4(9)
-16(x - 1.5)² + 40
So f(x) = -16(x - 1.5)² + 40
