Answer:
Step-by-step explanation:
√4 = 2, √36 = 6, √49 = 7
only √2 is irrational!
A. 4.25 hrs.....4 25/100 reduces to 4 1/4.......1/4(60) = 60/4 = 15 minutes
so 4.25 hrs = 4 hrs and 15 minutes
b. 8.5 hrs.....8 5/10 reduces to 8 1/2.....1/2(60) = 60/2 = 30 minutes
so 8.5 hrs = 8 hrs and 30 minutes
c. 6.2 hrs.....6 2/10 reduces to 6 1/5.....1/5(60) = 60/5 = 12 minutes
so 6.2 hrs = 6 hrs and 12 minutes
d. 10.8 hrs.....10 8/10 reduces to 10 4/5.....4/5(60) = 240/5 = 48 minutes
so 10.8 hrs = 10 hrs and 48 minutes
Answer:
y=27x
Step-by-step explanation:
If Buddy makes 15 toys per hour we can use the expression [15x=y] (let x be # of hours worked). If Bubbles makes 12 toys per hour we can use the expression [12x=y]. To find out the number of toys they make together we can just find the total number of toys they make in an hour. (Combine the 2 equations).
15x+12x=y
27x=y
If the top is $48 and it is 60% off you will multiply the cost by the decimal form of the sale percentage: 48*0.60= $28.80. This is the amount she will save and I think is the answer you are looking for.
If there is a follow up question asking for the final cost of the top you would find that by subtracting the amount saved from the original cost: 48.00-28.80=$19.20.
Answer:
Step-by-step explanation:-16x^2 + 24x + 16 = 0.
A. Divide by 8:
-2x^2 + 3x + 2 = 0, A*C = -2*2 = -4 = -1 * 4. Sum = -1 + 4 = 3 = B, -2x^2 + (-x+4x) + 2 = 0,
(-2x^2-x) + (4x+2) = 0,
-x(2x+1) + 2(2x+1) = 0,
(2x+1)(-x+2) = 0, 2x+1 = 0, X = -1/2. -x+2 = 0, X = 2.
X-intercepts: (-1/2,0), (2,0).
B. Since the coefficient of x^2 is negative, the parabola opens downward. Therefore, the vertex is a maximum.
Locate the vertex: h = Xv = -B/2A = -24/-32 = 3/4, Plug 3/4 into the given Eq to find k(Yv). K = -16(3/4)^2 + 16(3/4) + 16 = 19. V(h,k) = V(3/4,19).
C. Choose 3 points above and below the vertex for graphing. Include the points calculated in part A which shows where the graph crosses the x-axis.
