Describe the graph that would be used to solve the equation-x^2 + 4 = x+2
1 answer:
Answer:
The values of x are x = -2 and x= 1.
Step-by-step explanation:
The given equation -x²+4 = x+2 can be written in the form of two functions as
y = -x²+4 which is a function representing parabola and
y = x+2 which is a straight line.
Now we will solve the given equation to find their points of intersection on graph. Their points of intersections will be the answer.
-x²+4 = x+2
-x²+4-x = x+2-x
-x²-x+4 = 2
-x²-x+4-2 = 2-2
-x²-x+2 = 0
Or x²+x-2=0
Now we will factorize the equation.
x²+2x-x-2=0
x(x+2)-1(x+2) = 0
(x+2)(x-1) = 0
x+2 = 0 ⇒x = -2
x-1 = 0 ⇒x = 1
For x = 1, y will be 3
and for x = -2, y will be 0
Now we can see the graph for the given coordinates (-2,0) and (1,3).
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Answer: 900m
Explanation.
There are two ways you can solve to find the number of meters waved...I’ll show you how to do both.
Plan A:
1. Find the rate of meters weaves per hour by dividing 450 meters by 6 hours. The answer is 75 meters per hour.
2. Multiply the rate per hour (75) times 12 to find how many meters are weaved on 12 hours.
Plan A Answer: 900m
Plan B:
1. Set up a proportion like the one below:
2. Cross multiply and solve for x
Plan B answer: 900m
Explanation.
There are two ways you can solve to find the number of meters waved...I’ll show you how to do both.
Plan A:
1. Find the rate of meters weaves per hour by dividing 450 meters by 6 hours. The answer is 75 meters per hour.
2. Multiply the rate per hour (75) times 12 to find how many meters are weaved on 12 hours.
Plan A Answer: 900m
Plan B:
1. Set up a proportion like the one below:
2. Cross multiply and solve for x
Plan B answer: 900m
See the attached picture. You'll find a tree with four branches at level 1 (each of the four sectors of the spinner). Each of these branches is divided in four sub-branches: the possible results of tossing two coins (HH, HT, TH, TT).
So, there are 16 possible outcomes (numbered below each leaf).
If you want to roll an odd number, you have to take branch 1 or 3 at first level.
Then, for each of those, you have to toss exactly one head, so you have to take HT or TH.
The good outcomes are thus 2, 3, 10 and 11, leading to a probability of 4/16=1/4=25%.
