Answer:
Her original speed is 54 mi/h
Step-by-step explanation:
Here, we want to calculate the original speed
Let this be x mi/h
Mathematically;
distance = speed * time
So she drove at a speed of x mi/h for 2 hours, then (x-10) mi/h for the remaining 1 hour for a total 152 mi journey
Mathematically, we can add up the journey parts as
x(2) + (x-10)1 = 152
2x + x - 10 = 152
3x = 152 + 10
3x = 162
x = 162/3
x = 54 mi/h
Hey there! :)
Answer:
2u³ (5u + 1)(u + 3)
Step-by-step explanation:
Begin by factoring a common factor from each term. In this instance, it would be 2u³:
2u³ (5u² + 16u + 3)
Factor the polynomial inside the parenthesis. The factors must add up to 16u, and multiply to become 3. We get:
2u³ (5u + 1)(u + 3)
This is the equation factored entirely!
2.4x+2.8=10
Use inverse operations to find for x!
x= 3
Answer:
A.) Even.
Step-by-step explanation:
If a function is an even function, then
F(-x) = f(x)
Also, if a function is an odd function, then, f(-x) = -f(x)
You are given the below function
f(x) = 1 + 3x^2 − x^4
Let x = 2
Substitute 2 for x in the function
F(x) = 1 + 3(2)^2 - (2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Also, Substitute -2 for x in the function
F(x) = 1 + 3(-2)^2 - (-2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Since f(-x) = f(x), we can conclude that
F(x) = 1 + 3x^2 - x^4 is even