Answer:
A
Step-by-step explanation:
in x<-4 the derivative is positive so the function is increasing.
in x>-4 the derivative is negative so the function is decreasing
increasing in (-infinity,-4)
decreasing in (-4,infinity)
Answer:
Step-by-step explanation: X and Y represent the digits.
The tens digit is twice the units digit.
The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.
10x +y 10y +x are Original & Reversed numbers
X = 2y means the Tens digits is twice the units digit.
10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.
Substitute 2y for x to solve for y
10y +2y +2= 10(2y) + y -34
Distribute and combine like terms
12y + 2 = 20y +y - 34
34 +2 = 21y -12y
36 = 9y Divide both sides to find the value of y.
4 = y
X = 2(4) Substitute 4 for y to find x
X = 8
Original number: 84 Reversed number: 48
Substitute into equation model
48 +2= 84 -34
50 = 50
True!
Answer:
net income is $48452.81
Step-by-step explanation:
Sales =$147500
subtract operating expenses
-$75500 =$72000
subtract non- operating costs
depreciation -$10200 =$61800
-interest expense payable (16500*7,23%)$1196.25=63603.75
from profit before tax deduct income taxes =63603.75*25%=15150.9375
Net Income is therefore $63603.75-$15150.9375 = $48452.81
15+16+10 =41
BH= 41
Bd=15
Df=16
Fh=10
Plz mark me brainalist answer
Theorem of cosine:
a²=b²+c²-2bc(cos α) ⇒cos α=-(a²-b²-c²) / 2bc
In this case:
a=15 cm
b=10 cm
c=5 cm
cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1
A=arc cos -1=180º This is impossible, because:
A+B+C=180º; then B=C=0º This is impossible for make a triangle (B>0 and C>0 if we want to make a triangle).
Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.