Answer:
-2 < x < 35
Step-by-step explanation:
We have that the larger side has a larger opposite angle and the smaller sides and a smaller opposite angle.
The opposite angle of the 14 unit side is 37 °.
The opposite angle of the 13-unit side is (x + 2) °.
Since 13 <14, it would be:
x + 2 <37
we subtract 2 on both sides
x <35
The value of x must be less than 35.
Now, to form a triangle, the angle must be greater than 0.
x + 2> 0
we subtract 2 on both sides
x> -2
The value of x must be greater than - 2.
Therefore the answer would be:
-2 <x <35
Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
.4 is smallest, 1/2 , then 60% is greatest.
Answer:
0<x<1
Step-by-step explanation:
(x+3)(x−4)<−12
FOIL
x^2 -4x+3x -12 <-12
x^2 -x -12 <-12
Add 12 to each side
x^2 -x -12+12 <-12+12
x^2 -x <0
Factor out an x
x(x-1) <0
Using the zero product property
x(x-1) =0
x=0 x-1=0
x=0 x=1
Check the ranges
x<0
x(x-1) <0
- * - >0
False
0<x<1
x(x-1) <0
+ * - <0
True
x>1
x(x-1) <0
+ * + >0
False
Answer:
Percent of Change: 30% (rounded) It is an increase
Step-by-step explanation:
