9514 1404 393
Answer:
(0, c)
Step-by-step explanation:
Compare the given equation to the vertex form equation ...
y = a(x -h)^2 +k . . . . quadratic with vertex (h, k)
You have ...
y = ax^2 +c
Matching these forms, we see that h=0, and k=c. Then the vertex is ...
(h, k) = (0, c)
Answer:
C)
Step-by-step explanation:
Solution of the equation is given by the intersecting point which is (2 , -1)
Find the equation of the line:
(0,4) ; (2 , -1)
m = -5/2 ; (0 , 4)
Equation: y - y1 =m(x -x1)
Answer:
Step by step explanation:
first we will change the terms with negative superscrips to the other side of the fraction
then we will distribute the superscripts
as when multiplying two powers that have the same base, we can add the exponents and, to divide podes with the same base, we can subtract the exponents
then we will change again the terms with negative superscrips to the other side of the fraction
Answer:
(x + 0.5) (x² - 0.5x + 0.25)
Step-by-step explanation:
x³ + 1/8
We can rewrite 1/8 as a decimal: 0.125
the cubed root of 0.125 then is 0.5; recalling that 5³ yields 125
Knowing this then, we can factor out our expression
(ax + b) (ax² − abx + b² ) = ax³ + b³, where a and b are coefficients.
If a = 1, and b we found to = 0.5, our expression becomes
(x + 0.5) (x² - 0.5x + 0.25)
We cannot further factor x² - 0.5x + 0.25, so our answer remains
(x + 0.5) (x² - 0.5x + 0.25)
Check via foiling
(x * x²) + (x * -0.5x) + (x * 0.25) + (0.5 * x²) + (0.5 * -0.5x) + (0.5 * 0.25)
x³ - 0.5x² + 0.25x + 0.5x² - 0.25x + 0.125 Combine like terms
x³ + 0.125 = x³ + 1/8
The highest common factor is usually reserved for two or more numbers. The HFC of a single number is, trivially, just the number itself.
