Answer:
x = 10
Step-by-step explanation: 10/2 = 5 + 1 = 6
Answer: -10x (5x^3 - 8x^2 - 3x - 9) is the factored solution.
A numeric form using exponents.
Answer:
About 95 miles
Step-by-step explanation:
Let's set up a proportion using the following set up:
miles / gallons = miles / gallons
We know the car can travel 38 miles on 2.4 gallons of gas.
38 miles / 2.4 gallons = miles/ gallons
We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.
38 miles / 2.4 gallons = x miles /6 gallons
38/2.4=x/6
We want to find x (miles for 6 gallons). Therefore, we must isolate x.
x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.
6*(38/2.4)=(x/6)*6
6*(38/2.4)=x
6*15.8333333=x
94.9999998=x
Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.
95 ≈x
x ≈95 miles
The car can travel about 95 miles on 6 gallons of gas.
Answer
x = 17
Step-by-step Explanation
The question gives us Angle DEF as (3x + 1) and Angle DEG as (5x + 19).
Note that G is the lower end of the diagram.
What isn't evident from the diagram is that Line EF is a bisector for the DEG.
If Line EF is the bisector, this means that it divides the angle into two equal parts.
(Angle DEG) = (Angle DEF) + (Angle FEG)
Angle DEG = (5x + 19)
Angle DEF = (3x + 1)
Angle FEG = Angle DEF (Since we already established that line EF being a bisector means it divides Angle DEG into two equal parts)
So,
Angle FEG = Angle DEF = (3x + 1)
(Angle DEG) = (Angle DEF) + (Angle FEG)
Substituting the parameters
(5x + 19) = (3x + 1) + (3x + 1)
5x + 19 = 3x + 3x + 1 + 1
5x + 19 = 6x + 2
Collecting like terms by bringing all the coefficients of x to the same side
6x + 2 = 5x + 19
6x - 5x = 19 - 2
x = 17
Hope this Helps!!!
