Answer:
30
Step-by-step explanation:
17*3 = 51
10*3 = 30
The graph opens downward, so the vertex is the maximum point of the parabola. Example: The vertex of the parabola y = -(x + 9)2 + 4 is (-9, 4). The graph opens downward, so the vertex is the maximum point of the parabola.
...
If the value of "a" is positive, the parabola will open upward.
Answer:
Area of circle = 254.34 m²
Step-by-step explanation:
Area of circle = π×r²
Area of circle = 3.14 x 81
Area of circle = 254.34 m²
Answer:
6, but 4 pencils will remain
Step-by-step explanation:
76/12=6 1/3
To find the remainder, multiply the decimal or fraction by the divisor. 1/3*12= 4. Four pencils remain with six in each box.
Answer:
3rd option
Step-by-step explanation:
( factorise numerator and denominator )
3x² - 3 ← factor out 3 from each term
= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
x² - 1
= x² - 1²
= (x - 1)(x + 1) , then
3x² - 3 = 3²(x - 1)(x + 1) ← in factored form
--------------------------------
x² - 5x + 4
consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
x² - 5x + 4 = (x - 1)(x - 4)
then
= ← in factored form