Answer:
Surface area means all of the outside areas, kind of like when you wrap a present.
Step-by-step explanation:
1st draw the box and find the area of the top and the bottom of the figure
10 x 3 = 30 for the top and 30 for the bottom, so 60 for both.
2nd find the area of two opposite sides:
10x 4.5 = 45 for one side and 45 for the other side, which is 90 for both
3rd find the area of the last two opposite sides:
3 x 4.5 = 13.5 for one side and 13.5 for the other side, so 27 for both.
4th: now add all those sides 60 + 90 + 27 = 177 inches squared.
Answer: 5) Vertex = (2, 28) y-intercept = 40 → (0, 40)
6) Vertex = (2, 11) y-intercept = 7 → (0, 7)
<u>Step-by-step explanation:</u>
The y-intercept of the equation is when x = 0. It is the c-value when given in standard form: y = ax² + bx + c
To find the vertex, use the Axis of Symmetry equation to find the x-value
x = -b/(2a). Then plug the x-value into the equation to find the y-value.
5) y = 3x² - 12x + 40
↓ ↓ ↓
a=3 b= -12 c=40
Min: y = 3(2)² - 12(2) + 40
= 3(4) - 24 + 40
= 12 - 24 + 40
= 28
Vertex: (2, 28) y-intercept = 40
*******************************************************************************************
6) y = -x² + 4x + 7
↓ ↓ ↓
a= -1 b=4 c=7
Max: y = -(2)² + 4(2) + 7
= -(4) + 8 + 7
= -4 + 8 + 7
= 11
Vertex: (2, 11) y-intercept = 7
Answer:
-5
Step-by-step explanation:
The initial value is also known as the y-intercept (in other words, the output value when the input of a linear function is zero). In the equation;
<em>y </em>= <em>mx </em>+ <em>b</em>
The variable <em>b</em> represents the y-intercept because the x-value is equal to zero. By applying this to our equation, we get:
<em>y</em> = <em>mx </em>+<em> b</em>
<em>y</em> = -2<em>x</em> - 5
And thus, (-5) is our answer. Good luck and keep studying!
Answer:
the value of x is x=1
Step-by-step explanation:
3x=3
x=3÷3
x=1
Answer:
B. Configuration B has a higher probability of an aisle seat.
Step-by-step explanation:
Each configuration has the same number of seats in every row. That means we can determine the probability Dan will be assigned an aisle seat by considering only one row.
In configuration A, each row has 6 seats, of which 2 are aisle seats. The probability of being assigned an aisle seat is ...
p(aisle) = 2/6 = 1/3 . . . . configuration A
In configuration B, each row has 9 seats, of which 4 are aisle seats. The probability of being assigned an aisle seat is ...
p(aisle) = 4/9
Since 4/9 > 1/3, Dan should hope his flight uses configuration B.
