Answer:
D. Expression for Nick's distance from starting point= 6+(-4)+2
Step-by-step explanation:
Finding expression for each scenario:
A.
Number of boxes processed on on Monday =6 boxes
Number of boxes processed on on Tuesday =4 boxes
Number of boxes processed on on Wednesday =2 boxes
Expression for total boxes processed on these 3 days = 
B.
Temperature of Suma's city at noon = 6°C
Temperature of Suma's city at 8pm = 4°C
Temperature of Suma's city at noon next day = 2°F
Total temperature change = cannot be determined as all measurements are not in same units.
C
Money put on Monday = $6
Money put in Wednesday =$4
Money withdrew on Saturday = $2
Expression for balance of Re'onna's piggy bank = 
D
Distance ran north =6 miles
Distance ran south(back) = 4 miles
Distance ran north again = 2 miles
Expression for Nick's distance from starting point= 6+(-4)+2
Answer: a) Yes, there is enough fance
b) 58.1° and 47.9°
c) The city will not approve, because 1/3 of the area is just 2220.5ft²
Step-by-step explanation:
a) using law of cosines: x is the side we do not know.
x² = 126² + 110² - 2.126.110.cos74°
x² = 20335.3
x = 142.6 ft
So 150 > 142.6, there is enough fance
b) using law of sine:
sin 74/ 142.6 = sinα/126 = sinβ/110
sin 74/ 142.6 = sinα/126
0.006741 = sinα/126
sinα = 0.849
α = sin⁻¹(0.849)
α = 58.1°
sin 74/ 142.6 = sinβ/110
sin 74/ 142.6 = sinβ/110
0.006741 = sinβ/110
sinβ = 0.741
β = sin⁻¹(0.741)
β = 47.9°
Checking: 74+58.1+47.9 = 180° ok
c) Using Heron A² = p(p-a)(p-b)(p-c)
p = a+b+c/2
p=126+110+142.6/2
p=189.3
A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)
A = 6661.5 ft²
1/3 A = 2220.5
So 2300 > 2220.5. The area you want to build is bigger than the area available.
The city will not approve
Group like terms
-4g^4 - 3g^3 + g^2 + 3g^2 + 5g + 9 - 6
combining like terms:-
= -4g^4 - 3g^3 + 4g^2 + 5g + 3
Answer:
7.5m
Step-by-step explanation:
1cm:2.5m
3cm:7.5m
Answer:
Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.
Step-by-step explanation:
The equation f(x) given is:
For x = 0. the value of the expression is:
For x = 1, the value of the expression is:
Since the value of f(0) is negative and the value of f(1) is positive, then there is at least one value of x between 0 and 1 for which f(x) =0.
In other words, there is at least one solution for the equation between x=0 and x=1.
