If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)?
2 answers:
Answer:
Given the functions: and
Now, calculate first ;
Substitute the given values we have;
Combine like terms;
Let y =
Then, we have y = 5x+5
Now, Graph the equation of the line y =5x +5
Using slope intercept form: An equation of line is given by :
y = mx +b ; where m is the slope of the line and b is the y-intercept.
On comparing we get;
m = 5 (Since, slope is positive which means a line moves upward on a graph from left to right)
Now, find the intercepts of the equation: y=5x+5;
x-intercepts: The graph or line crosses the x-axis i.,e
Substitute y = 0 and solve for x;
0 = 5x +5
Subtract 5 on both sides we get;
-5 = 5x
Divide both sides by 5 we get;
x = -1
x-intercepts= = (-1, 0)
Similarly for y-intercept:
Substitute the value of x= 0 and solve for y;
y = 5(0)+5
y = 5
y-intercepts = (0, 5)
Now, using these point we can draw a graph of function as shown below in the attachment.
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Divide by the coefficient of e^2, then take the square root.
e^2 = 49/(9f)
e = ±7/(3√f) = ±(7√f)/(3f)
The 3rd selection is appropriate:
e=±(7√f)/(3f)
______
When written in plain text (not typeset), any denominator containing arithmetic must be enclosed in parentheses. When the expression is typeset, the surd and the division bar do the grouping for you.
e^2 = 49/(9f)
e = ±7/(3√f) = ±(7√f)/(3f)
The 3rd selection is appropriate:
e=±(7√f)/(3f)
______
When written in plain text (not typeset), any denominator containing arithmetic must be enclosed in parentheses. When the expression is typeset, the surd and the division bar do the grouping for you.