Answer: -1r = 6 then divide 6 by -1 which your answer would be r= -6
Step-by-step explanation:
To find the average rate of change, its a secant line.
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
First, you add them all together, and divide them by the number of quantities there are, so:
9+9+8+11+11+12+12+8= <span>80. Then you divide it by 8 (how many numbers there are) to get 10!</span>
Answer:
784 in² of wood
Step-by-step explanation:
Sarah needs two supports by shelf, and she will build 4 shelves
then she will need 8 supports
Now each support is a right isosceles triangle.
Area of a triangle is
A(t) = 1/2 *b*h where b is the base and h is the heigh of the triangle.
A right isosceles triangle has two sides ( base and heigh equals) and in our particular case are equals to 14 in, therefore
A(t) = 1/2*14*14
A(t) = 98 in²
Sarah needs 8 pieces of 98 in² she needs
A = 8*98
A = 784 in² of wood
