Answer:
see explanation
Step-by-step explanation:
A quadratic function in standard form is
y = ax² + bx + c (a ≠ 0 )
Given
y = - 3x² + 6x + 17 ← compare coefficients with standard form, then
a = - 3, b = 6, c = 17
Given the quadratic in standard form the the equation of the axis of symmetry is
x = - 
= - 
= 1
Equation of axis of symmetry is x = 1
Hope this isn't too confusing
All of the numbers have different shortcuts.
1. Yes. Divisible by 4: if last two digits are divisible by 4 then the whole number is yes)
2. No. Divisible by 6: it must be even and when you add them up, (44) it must be divisible by 3 (no, 44 is not divisible by 3)
3. Divisible by 8: ( last 3 numbers are divisible by 8 (312) = 39 ( yes it is)
4 Yes. Divisible by 11: ( sum of digits at odd places and sum of digits at even spaces,is either 0 or divisible by 11) yes, 278949. (2+8+9) + (7+9+9)= 19 + 25 = 44 and 44 is divisible by 11)
5. No. Divisible by 12 (divisible by 3 and 4, sum of digits is divisible by 3 ; and last 2 digits divisible by 4: 87654395 : 52/3= 18 (yes) 95/4(no) this number not divisible by 12
6. No. Divisible by 15: divisible by 3 and 5 ..87654385 = 46/3 = 15..(No) divisible by 5 yes. The number is not divisible by 15
Answer:
29
Step-by-step explanation:
Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression
3 * 4^2 - 7 * 4 + 9
3 * 16 - 28 + 9
= 29
Answer:
Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).
Answer:
x = 8
Step-by-step explanation:
40 + 6x + 2 = 90 {Complementary angles}
Combine like terms
40+ 2 + 6x = 90
42 +6x = 90 {Subtract 42 form both sides}
6x = 90 - 42
6x = 48 {divide both sides by 6}
6x/6 = 48/6
x = 8
