Answer:
6 (24÷3) -2
6 (8) -2
48-2
=46
Brackets of division multiplication add and subtract
(2y² + 7y + 11) - (8y² - 5y + 7) you can distribute the negative sign to the second expression and then combine the like terms
new expression: (2y² + 7y + 11) (-8y² + 5y - 7)
2y² and -8y² equals -6y²
7y and 5y equals 12y
11 and -7 equals 4
The answer is -6y² + 12y + 4
Answer:
y = -1/3x + 3 2/3
Step-by-step explanation:
step 1. find the slope of the given line
y2-y1/x2-x1 2 - 4/ 3 + 3 = - 1 / 3
take the opposite of that and there is your slope
step 2. plug in the values to the following equation using the given point:
y - y1 = m ( x - x1 ) y - 4 = - 1/3 ( x + 1 )
step 3. solve for y
y-4 = -1/3(x+1)
-1/3(x) and -1/3(1) ----> y-4 = -1/3x-1/3
y-4+4 = -1/3x-1/3+4 ----> y = -1/3x + 3 2/3
<em>hope this helps. if you need more help lmk in the comments. i am in algebra two so you can trust me. Happy holidays</em>
Answer:
(27.3692 ; 44.6308)
Step-by-step explanation:
Mean, xbar = 36
Standard deviation, s = 11
Sample size, n = 12
Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718
Confidence interval :
Xbar ± Margin of error
Margin of Error = Tcritical * s/sqrt(n)
Margin of Error = 2.718 * 11/sqrt(12) = 8.6308
Confidence interval :
Lower boundary : 36 - 8.6308 = 27.3692
Upper boundary : 36 + 8.6308 = 44.6308
(27.3692 ; 44.6308)
Answer:
61.2
Step-by-step explanation:
Distribute the figure into three shapes. Triangle, and two rectangles.
Find the area.
