The value of F(G(x)) is 2x^2 - 13
<h3>How to solve the composite functions?</h3>
The functions are given as:
F(x)=2x+1
G(x)=x^2-7
To find (FxG)(x), we make use of
(FxG)(x) = F(G(x))
So, we have:
F(G(x))=2G(x)+1
Substitute G(x)=x^2-7
F(G(x))=2(x^2-7)+1
Expand
F(G(x))=2x^2 - 14 + 1
Evaluate the like terms
F(G(x))=2x^2 - 13
Hence, the value of F(G(x)) is 2x^2 - 13
Read more about composite functions at:
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Answer:
The total surface area of a cylinder is .
Step-by-step explanation:
We have,
Height of a cylinder, h = 5 cm
Radius of a cylinder, r = 2 cm
It is required to find the total surface of a cylinder. The formula of the total surface area of cylinder is given by:
So, the total surface area of a cylinder is . Hence, the correct option is (A).
Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
Notice that the divisors 2,000, 200 and 20 are similar except for the number of zeros.
You can remove a zero from each dividend equal to the number of zeros in the divisor.
So 80,000 ÷ 2,000 is equivalent to 80 ÷ 2 = 40 ( I removed 3 zeros from each)
80,000 ÷ 200 is equivalent to 800 ÷ 2 = 400 (notice that I could only remove 2 zeros)
Finally 80,000 ÷ 20 only allows us to remove on zero --- 8,000 ÷ 2 = 4,000.
The smaller the divisor the greater the quotient (when dividing the same number - in this case 80,000)
You would see how many times 3 goes into 40 then put the extra over 3. 13 1/3