The value of gf(5) for the given two expressions is 135.
According to the question,
We have the following information:
f(x)= x +4
g(x) = 3x
Now, in order to find the value of gf(5), we will first find the value of gf.
Now, we will multiply these two expressions:
3x(x+4)
Now, the terms outside the brackets need to multiplied inside the bracket:

Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:
3*5*5+12*5
75+60
135
Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.
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Answer:
C
The integer with the greatest value is the one that is farthest to the right hand side of the number line
Step-by-step explanation:
The number line is constructed in a way such that we have a center point of zero with positive values to the right of the number line and negative values to the left of the number line.
Moving deeper right, we have an increase in positivity, with the more positive values rightwards, indicating an increase in the numbers to the right
Moving to the left, we have an increase in negativity, but a decrease in value. The negative numbers closer to zero are more positive and command higher values than the values which are farther from zero.
What these indicates is that the more rightward a number, the greater its value
The correct answer is x=-2
So lets try to prove it,
So let's consider the function f(x) = x^2.
Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity).
Using the Intermediate Value Theorem,
it would be enough to show that at some point a f(x) is less than 2 and at some point b f(x) is greater than 2. For example, let a = 0 and b = 3.
Therefore, f(0) = 0, which is less than 2, and f(3) = 9, which is greater than 2. Applying IVT to f(x) = x^2 on the interval [0,3}.
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Answer:
No, it is a parabola. (assuming that you meant to write 6x² - 2y = 7).
Step-by-step explanation:
If there is a square in the x or y, this gives it away that it cannot be a straight line.