Answer:
4x + 4
Step-by-step explanation:
F(x) = 2x - 1
G(x) = 3x + 2
H(x) = x²
We have to calculate the expression F(G(x)) - F(x)
F(G(x)) means the composition of functions F(x) and G(x). In order to find F(G(x)) we have to replace ever occurrence of x in F(x) with the value of G(x). So,
F(G(x)) = 2(3x+2) - 1 = 6x + 4 - 1 = 6x + 3
Thus,
F(G(x)) - F(x) = 6x + 3 - (2x - 1)
= 6x + 3 -2x + 1
= 4x + 4
Therefore, the expression F(G(x)) - F(x) equals 4x + 4
Vertical angles are equal
4x = 45 + 15
4x = 60
x = 60/4
x = 15
-90
Step-by-step explanation:
2/3x+4=3/5x-2
2/3x – 3/5x = -2 – 4
LCM for 5 & 3 is 15 so we can use it on the two fractions;
10/15x – 9/15x = 1/15 x
1/15x = -6
x = - 6 * 15
x = -90
Learn More:
For more on dealing with fractions check out;
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Answer:
53
Step-by-step explanation:
We have consecutive odd numbers for the sides of a triangle, perimeter 201. We could write an equation, but clearly the middle side is 201/3 = 67, so the other two sides are 65 and 69.
This is almost an equilateral triangle, angles around 60 degrees, so not obtuse, meaning one angle over 90 degrees.
Scalene means the sides are all different lengths; we didn't even have to solve the problem to know this is true.
Smallest side 61, false.
Largest side 69, true.
This last one doesn't make much sense to me. What's a unit here? Dilation of 1/3 means all the linear measures become 1/3 as big, including the perimeter. It would decrease much more than 3 inches, since it would go from 201 inches to 67 inches. If I have to answer I'd go with false.
