3a= 3(5) = 15
15 - - 3 = 15+3 = 18
18/6 = 3
b + a = 5 + -3 = -3 + 5 = 2
3 x 2 = 6
This sequence seems to apply -9, +13, +6 repeatedly.
So after the 34, the -9 has to be applied. The next number would be 25.
Answer:
Value of x using quadratic formula (x = -4) and (x = -5)
Step-by-step explanation:
Given:
Equation
x² + 9x + 20 = 0
Find:
Value of x using quadratic formula
Computation:
Quadratic formula = [-b±√b²-4ac] / 2a
Given equation;
x² + 9x + 20 = 0
a = 1 , b = 9 , c = 20
By putting value
[-9±√9²-4(1)(20)] / 2(1)
[-9±√81-80] / 2
[-9±√1] / 2
(-9 + 1) / 2 , (-9 - 1) / 2
-8 / 2 , 10 / 2
-4 , - 5
Value of x using quadratic formula (x = -4) and (x = -5)
Answer: y = one sixteenth(x − 4)^2 + 2
Step-by-step explanation:
If the parabola is written as:
y = a*x^2 + b*x + c
then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
y = 1/6*(x + 4)^2 - 2 = 1/6x^2 + (8/6)*x + (16/6 - 2)
the vertex (4, 2)
then
x = -b/2a = 4.
this means that a and b must be of different sign, then the only correct option can be:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
where:
x-vertex = (8/6)/(2/6) = 4 as we wanted.
when we evaluate this function in x = 4 we get
y = 1/6*( 4 - 4)^2 + 2 = 2.
So the correct option must be: y = one sixteenth(x − 4)2 + 2
In order to find the number of hats, multiply all the choices together, disregarding size:
4 * 4 * 7 <-- 4 styles * 4 stitches * 7 yarns
= 16 * 7 = 112
112 different hats can be made.
