"Rate of change" is the same thing as slope. all you have to do is make the equation into y-intercept form:
-2y-16x=41
+16x +16x
-2y=16x+41
/-2 /-2 /-2
y=-8x-41/2
slope is -8
Answer:
8) x = 5.41
9) x = 45
10) x = 2.25
Step-by-step explanation:
8) 17/15 = 10/(2x-2)
150 = 34x - 34
reduce:
34x = 184
x = 5.41
9) 6/16 = (x-12)/(2x-2)
16x - 192 = 12x - 12
reduce:
4x = 180
x = 45
10) (x-9)/15 = (2x-9)/10
10x - 90 = 30x - 135
reduce:
20x = 45
x = 2.25
Answer:
<h2>16</h2>
Step-by-step explanation:
![\dfrac{4-2}{2^{-3}}=\dfrac{2}{2^{-3}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=2^{1-(-3)}=2^{1+3}=2^4=16](https://tex.z-dn.net/?f=%5Cdfrac%7B4-2%7D%7B2%5E%7B-3%7D%7D%3D%5Cdfrac%7B2%7D%7B2%5E%7B-3%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Cdfrac%7Ba%5En%7D%7Ba%5Em%7D%3Da%5E%7Bn-m%7D%5C%5C%5C%5C%3D2%5E%7B1-%28-3%29%7D%3D2%5E%7B1%2B3%7D%3D2%5E4%3D16)
Answer:
1 :2
Step-by-step explanation:
12 are yellow, 4 are pink
To find the number of red
24 -12 -4 = 8
There are 8 red balls
We want the ratio of
red: yellow or pink
8 : 12+4
8 :16
Divide each side by 8
8/8 : 16/8
1 :2