The function is decreasing on the interval (-∞,∞)
This means that, throughout the whole graph, the slope is negative.
Answer:
x = -4, 5/2
Step-by-step explanation:
A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.
__
A graph is attached. It shows the solutions to be -4 and 5/2.
__
When factored, the equation becomes ...
(2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)
__
Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...
x = (-b±√(b²-4ac))/(2a)
x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4
x = {-4, 5/2}
__
For ax^2 +bx +c = 0, the solutions must satisfy ...
product of solutions is c/a = -20/2 = -10
Only the first and last choices have this product.
sum of solutions is -b/a = -3/2
Only the first choice (-4, 5/2) has this sum.
Answer: 48 sq. cm
Step-by-step explanation:
The area of the similar shapes is similar.
We use scalar factor to get the area of the bigger or the smaller figure by using the area of the given figure.
In the given figure , Area of the small pentagon = 32 sq. cm
Scale factor for the bigger pentagon = 1.5
Then , the area of the bigger pentagon would be = (Scale factor) x (Area of the small pentagon)
= 1.5 x (32 sq. cm)
= 48 sq. cm
Hence, the area of the larger pentagon = 48 sq. cm
Answer:
Hey there!
The measure of angle ABD plus the measure of angle CBD equals 90 degrees or a right angle.
Thus, we can write the equation: ABD+51=90
Solving for ABD, we find that it is 39 degrees.
Let me know if this helps :)
Answer:
itsa neg so i would say 34
Step-by-step explanation:
34 - - so postive