<span>1/4(x + 16) - x =
First, distribute the 1/4.
= 1/4x + 1/4 * 16 - x
= 1/4x + 4 - x
= 1/4x + 4 - 4/4x
= 1/4x - 4/4x + 4
= -3/4x + 4
</span>
11. 8 * 18 =
144 in³, Option D
12. Half the height of 8 cm is 4 cm. Volume = 4 * 6 * 10 =
240 cm³, Option D
13. Double the dimensions you get 8 cm for the height, 6 cm for the radius. Then plug in. V = pi * (6)² * 8 >> pi * 36 * 8 =
288pi or ≈ 904.78, Option C
14. Half of all the dimensions are 1 in, 4 in, and 3 in. 1 * 4 * 3 =
12 in³, Option B
15.
>> 16x = 180 >> x = 11.25
so Option B
16. Option D, 10 cm.
17. Option C, 8.5 in
18. Option B. 10.2 km
19. Option D. 0.82
20. cos 30 = b / 11.5 >> b = 11.5(cos (30)) =
9.96 m, Option C.
Change 55% to 0.55
0.55 x 2900 = 1595
Answer:
A: Algebraic Function
Step-by-step explanation:
Algebraic function is given as;
5x – 2y = 15
Since we are dealing with rate of change, let's make y the subject first and find dy/dx.
Thus;
2y = 5x - 15
y = (5x/2) - 15/2
dy/dx = 5/2
dy/dx = 2.5
The verbal function is given as;
Cost of 5 pencils is 15 dollars
Thus, rate of 1 pencil = 15/5 = 3 pencils per dollar
We can see that the lowest rate of change is 2.5 and it is the algebraic function.
Answer:
x - intercept = 6
y - intercept = 3
Step-by-step explanation:
To find x - intercept, substitute y = 0 in the equation and solve for x.
x = 6
Similarly, To find y - intercept, substitute x = 0 in the equation and solve for y.
y = 3
