Answer:
A. (1, -1)
B. (1, -1), (2, 0)
C. x = 0
Step-by-step explanation:
A graph is a plot of all the points that are solutions to an equation.
<u>Part A</u>:
A point will be a solution to two equations if it is a point of intersection of their graphs. The one point that is a solution to both p(x) and g(x) is the one point where their graphs intersect: the red and blue lines cross at (1, -1).
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<u>Part B</u>:
<em>Any other point on the graph p(x)</em> will be another solution of it. One that is near to the point of intersection with g(x) is the point where p(x) crosses the x-axis: (2, 0). Of course, the solution listed in Part A is also a solution to p(x).
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<u>Part C</u>:
The point where the graph of g(x) crosses the graph of f(x) is (0, 3). The x-value that makes g(x) = f(x) is x=0. That is the solution to this equation. (We don't really care what the values of f(0) and g(0) are--just that they are equal.)
Answer: 117.226666667 cm^3
Step-by-step explanation:
So, we all know the formula for working out the volume of a cone is
V= 1/3πr^2h
V = 1÷3 x 3.14 × r^2 x h
The radius is half the diameter. Your diameter is 8 so the radius would be 4. And 7 is your height by the way.
So let's plot it all in!
V= 1÷3 x 3.14 × 4^2 x 7
V = 117.226666667cm^3
Round to the nearest 10 = 117.2cm^3
To the nearest 100 = 117.23cm^3
To the nearest whole number = 117cm^3
2. = 16
3. = x + 10y
4. sry, I don't know this one :(
5. = 14
Hope this helps!!!
Answer: She had 16 boxes of pencils.
Step-by-step explanation: Divide 96 by 6 to get 16.
X=4. If k is the midpoint then JK is equal to KL. Since JK is 7 then KL is also 7 meaning JK is 14. JK is represented by the expression 4x-2 so you just set that expression equal to 14 and solve for x. Hope this helped!
