Answer: If there is no real solution, enter NO REAL SOLUTION.) Find all solutions of the equation and express them in the form x^3 − 2x^2 − 7x + 14 = 0. -separate the problem into factoring: x^3 and 2x^2 will be the outside numbers √(x + 42)=x ... Use f(x) = 4x − 3 and g(x) = 5 − x^2 to evaluate the expression. (f o g) (-2)
Step-by-step explanation:
Answer:
A) 70%
B) 95%
Step-by-step explanation:
A) $200 to $340
Increase = $340 - $200 = $140
Percentage of increase = $140/$200 * 100% = 70%
B) Additional $50
Increase = $140 + $50 = $190
Percentage of increase = $190/$200 * 100% = 95%
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Answer: 8.6 Ft^2
Explanation:
First find the area of the WHOLE square in FEET
2.5 x 4.5 = 11.25 ft
Then we need to find the area of the circle
r = radius
The formula is A = 3.14r^2
The radius is .9166, we can tell because the total distance from top to bottom is 22in meaning 1.83333 ft, meaning the diameter is 1.8333, then to get the radius we cut that in half.
A = 3.14(.9166^2
A = 2.64 Ft
Now we need to find the new total area
11.25 - 2.64 = 8.61 in ^2
Now we need to convert it to the nearest tenth of a square foot
8.6 Ft^2
I hope this helped !
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- Zack Slocum
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Answer:
An apple costs $2 and a banana costs $1.
Step-by-step explanation:
x = cost of 1 apple and y = cost of 1 banana. So:-
2x + y = 5
2x + 3y = 7
Subtract the first equation from the second. We get:-
2y = 2
y = 1
and since 2x + y = 5, 2 x + 1 = 5 and
x = $2.
Answer:
The empty set 
Step-by-step explanation:
Roster method is simply listing explicitly all the elements in the set, one by one (writing them between two curly brackets, and separating them through commas).
We want then to list explicitly all the elements in the following set:
The set of natural numbers x that satisfy x+2=1.
So, first we have to figure out which numbers are in that set. The set is made ONLY of those natural numbers x, that when you add 2 to them, you get 1. Clearly no natural number has that property (since the only number that would give us 1 when adding 2 to it, is the number -1, which is NOT a natural number). So there aren't any numbers at all in that set. So if we were to list them, we'd just list nothing inside the set:
(which is just the empty set)
