To figure this out, we just need to plug in the points.
4(-1) - 2(-2) = 0
-4 - (-4) = 0
-4 + 4 = 0
0 = 0
True
The correct answer is a. (-2, -1).
Answer:the ratio of the % increase has a different numerator from decrease
Step-by-step explanation:
T = 5, so after 5 years
p(t) = t^3 - 14t^2 + 20t + 120
Take derivative to find minimum:
p’(t) = 3t^2 - 28t + 10
Factor to solve for t:
p’(t) = (3t - 2)(t - 5)
0 = (3t - 2)(t - 5)
0 = 3t - 2
2 = 3t
2/3 = t
Plug 2/3 into original equation, this is a maximum. We want the minimum:
0 = t - 5
5 = t
Plug back into original:
5^3 - 14(5)^2 + 20(5) + 120
125 - 14(25) + 100 + 120
125 - 350 + 220
- 225 + 220
p(5) = -5
Answer:
a) The estimates for the solutions of 
are 
and 
.
b) The estimates for the solutions of 
are 
and 
Step-by-step explanation:
From image we get a graphical representation of the second-order polynomial 
, where 
is related to the horizontal axis of the Cartesian plane, whereas 
is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:
a)
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
b)
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
Answer:
Equivalent expressions
A) 
C) 
Step-by-step explanation:
Given expression :
Choices given :
A)
B) 
C)
D) 
To find the equivalent expression.
We will first evaluate the given expression.
⇒ 
[Quotient of a negative dividend and a positive divisor is always negative]
Evaluating each choice to select the equivalents.
A)
⇒ [Quotient of a positive dividend and a negative divisor is always negative]
B)
⇒ 
⇒ 
C)
⇒ 
[Product of a positive and a negative is always a negative]
⇒
D)
⇒ [Product of two negatives is always a positive]
⇒
∴ We see that the choices A and C are equivalent.
