In this item, we are to divide one (1) inch into 16 equal parts to be able to conclude that American standard system is less accurate than the metric system.
16 parts of 1 inch = 1 inch / 16 = 0.0625 inch
This in itself is already a proof enough that there are 4 decimal places after the decimal point which makes this hard to properly measure.
Whereas, if we are to divide a centimeter into the millimeters, we will have 10 equal parts and that would be 1 mm = 0.1 cm.
The number above only has one decimal place and the level of accuracy should be higher.
Answer:
224
Step-by-step explanation:
7x^2y, when x = 4 and y = 2
Plug in
7x^2y = 7 (4)^2 (2)
=7 * 16 * 2
= 224
Question 1)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
F(G(x)) = 3(2x - 3)^2 + 1
F(G(x)) =3(4x^2 - 12x + 9) + 1
F(G(x)) = 12x^2 - 36x + 27 + 1
F(G(x)) =12x^2 - 36x + 28
Question 2)
Given: F(x) = 3x^2 + 1, G(x) = 2x - 3, H(x) = x
H -1 (x) = x (inverse)
<u><em>Answer:</em></u>
Open
<u><em>Explanation:</em></u>
An open equation is an equation that has variables and CAN be solved
<u>Example</u>: 2x = 4 ......> can be solved giving ......> x = 2
A false equation is one where both sides can NEVER be equal
<u>Example:</u> 15 = 2(3) + 1 ..........> 15 can never be equal to 7
A true equation is one having no variables and both sides are ALWAYS equal
<u>Example:</u> 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7
Now, the given equation is:
4y + 8 = 6y + 3
Let's try to solve is:
4y + 8 = 6y + 3
6y - 4y = 8 - 3
2y = 5
y = 2.5
Therefore, the given equation contains a variable and can be solved which means that it is an open equation
Hope this helps :)
