Answer:
255,300
Step-by-step explanation:
3.33×10^4=33,300. Then 2.22×10^5=222,000. Now add 33,300 plus 222,000 which is 255,300
Draw a rectangle. If the length is 3 inches longer than its width, we can write the width as "w" and the length as the width + 3
Area is (width)(Length) = (width)(width+3)
W
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| |
| |
| | L = w+3
| |
| |
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A = (w+3)(w)
A = w2 + 3w = 108.
(Problem states that area is 108 sq in)
Need to solve this quadratic equation
w2 + 3y - 108 = 0
Factor:
(w - 9) (w + 12) = 0
So
w - 9 = 0. or. w + 12 = 0
Solve these and get
w = 9. or. w = -12
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 9 inches
Length = 12 inches
Let's say if both work together, they can do it in "t" hrs
so, if Latoya can do it by herself in 14hrs, how much can she do in 1hr? well, she can do only 1/14 of the total
if Lisa can do it in 10hrs by herself, how much can she do in 1hr? well, 1/10 of the total
now, let's add their rate together, keeping in mind, their rate added, will be doing in 1hr only 1/t of the total work
thus
so, they'd do it in 5hrs and 5/6 of an hour, which is just 50mins, so, 5hrs and 50mins
Answer:
P(paranthesis) E(exponents) M(multiplication) D(division) A(addition) S(subtraction)
Step-by-step explanation:
It is the order in how you solve an equation. If there is something with paranthesis around it then solve it first. Then exponents then multiplication ect.
Answer:
Shown Below
Step-by-step explanation:
The question says:
And it says to verify that both functions are inverses of each other.
To show this, we have to understand one composition of function property. When 2 functions are inverses of each other, the composition of both functions should yield "x". In notation:
(f o g)(x) = f(g(x)) = x
and
(g o f)(x) = g(f(x)) = x
So, we need to show that putting f(x) into g(x) and putting g(x) into f(x) both yields "x". Lets show this:
First:
Verified.
Second:
Verified.
We have shown that both the functions are inverse of each other.