Answer:
9x² - 54x + 79
Step-by-step explanation:
To find (f ￮ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(3x - 7)
= (3x - 7)² - 4(3x - 7) + 2 ← expand factor using FOIL
= 9x² - 42x + 49 - 12x + 28 + 2 ← collect like terms
= 9x² - 54x + 79
<span>First, g(x) = 2x - 2, because when you double both of the terms of x - 1, you have to multiply each of the terms by two, i.e x * 2 = 2x and (-1) * 2 = - 2, so the result is 2x - 2. Comparing the graphs, you have that g(x) 's slope is 2, whils f(x) 's slope is 1, so that means that g(x) is more inclined or, what is the same, grows faster than f(x). Also, you can compare the y-intercepts, given that the y-intercept is the constant terms. So, the y-intercept of g(x) is -2, while the y-intercept of f(x) is - 1. </span>
Answer:
127.41
Step-by-step explanation:
side KJ equals 17 which corresponds to side NM which equals 57. These two triangles are similar which means the bigger triangle will be the smaller triangle but enlarged. So 57 divided by 17 equals 3.353 and then you do the same with the other side but multiplication; 38 times 3.353 equals 127.41. :)
Answer:
260,548668 or 260.55 round to the nearest hundreds
Step-by-step explanation:
Area of the trapezoid:
[(major base + minor base)x height]/2
[(22 + 12) x 12]/2 = 204 cm^2
radius = diameter / 2 = 12 / 2 = 6 cm
Area of a semicircle
(radius^2 x pi)/2 = (6^2 x pi)/2 = 56.548668 cm^2
total area = 204 + 56,548668 = 260,548668 cm^2
Answer:
Step-by-step explanation:
∠E = 1/2 (mCD - mAB)
<u>Where mCD = 110° and mAB = 30°</u>
∠E = 1/2 (110° - 30°)
∠E = 1/2 (80°)
∠E = 40°
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
