Answer:
f(g(x)) = x² - 5x +4
Step-by-step explanation:
<u><em>Explanation</em></u>
Given that the functions
f(x) = x² + 3 x and g(x) = x-4
f(g(x)) = f(x -4) (∵ g(x) = x-4)
= (x-4)² + 3(x-4)
= x² - 2(4)x + 4² + 3x -12
= x² - 8 x + 16 + 3x -12
= x² - 5x +4
∴ f(g(x)) = x² - 5x +4
Answer:
48 ft^2
Step-by-step explanation:
5.5 times 6 equals 33 (larger square part)
2.5 times 6 equals 15 (two triangles combined so you dont have to 1/2)
Answer:
0.54
Step-by-step explanation:
You take 54 and divide it by 100
54/100 =0.54
Hope this helps!!
Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Answer:
Sample space: {B, G, R, W, Y}
20%
40%
Step-by-step explanation:
Theoretical probability of blue:
1/5 × 100 = 20%
Experimental probability (based on observation) of yellow or white:
(20+12)/80 × 100
32/80 × 100
40%
