Answer:
100
Step-by-step explanation:
To add those fractions, you must find a common denominator for all of them. To find this, find a number that is a multiple of all three denominators. Then, multiply the top of the fraction by the same number you multiplied to get the common denominator. Finally you add all of the numerators together and keep the denomiator the same.
Example: 1/2+1/4+1/8
The demominators all are factors of the multiple 8. Therefore, we will use 8. Then, since we multiplied 2 by 4 to get eight for the first fraction, we will multiply the top number by 4 also. The new fraction will look like this: 4/8. After you have done that to all of the fractions, the equation will look like this: 4/8+2/8+1/8. Finally add all of the top numbers together and keep the denominator the same. The answer would be 7/8
Hope this helped :) Good luck
40 seconds
8,880 seconds
3,422.5 seconds
(By factoring & setting the answer equal to zero)
B.) use h=-b/2a to get vertex
Answer:
see below
Step-by-step explanation:
y=x^2-4x-12
Set equal to 0 to find the zeros
0 =x^2-4x-12
Factor. What 2 numbers multiply to -12 and add to -4
-6*2 = -12
-6+2 = -4
0= (x-6) (x+2)
Using the zero product property
0=x-6 0 = x+2
x=6 x = -2
zeros: -2,6
Vertex
h = -b/2a = - (-4)/ 2(1) = 4/2 = 2
OR Average the roots (-2+6)/2 = 4/2 =2
The y coordinate is found by substituting into the equation
y = (2)^2 -4(2) -12
y = 4-8-12
y =-16
vertex : (2, -16)
Answer:
x = -2, 6
Vertex: (2,-16)
Step-by-step explanation:
x² - 4x - 12
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
(x - 6)(x + 2) = 0
x = -2, 6
h = -(-4)/2
h = 4/2
h = 2
k = 2² - 4(2) - 12
k = 4 - 8 - 12
k = -16
Vertex: (2,-16)