Answer:
see explanation
Step-by-step explanation:
Multiplying or dividing each part of the ratio gives an equivalent ratio
Given
8 : 20 ← divide both parts by 2
= 4 : 10 ← divide both parts by 2
= 2 : 5 ← ratio in simplest form
Multiply both parts by 2
8 : 20 = 16 : 40
4 : 10, 2 : 5, 16: 40 ← are possible equivalent ratios
1. 22 - 3x + 7x = 4(x + 5)
22 - 3x + 7x = 4x + 20
<u> +3x +3x +3x </u>
22 + 10x = 7x + 20
<u> -7x -7x </u>
22 + 3x = 20
<u>-22 -22</u>
<u>3x</u> = -<u>2</u>
3 3
x = -2/3
2. 6(2x - 3) = 3(3 - 5)
12x - 18 = 3(-2)
12x - 18 = -6
<u> +18 +18</u>
<u>12x</u> = <u>12</u>
12 12
x = 1
3. 6x - 14 = 2(3x - 7)
6x - 14 = -3x
6x - 14 = 2(-7)
6x - 14 = -14
<u> +14 +14</u>
<u>6x</u> = <u>0</u>
6 6
x = 0
4. 6x + 3(x - 4) = 8(x - 3)
6x + 3x - 12 = 8x - 24
9x - 12 = 8x - 24
<u>-8x -8x </u>
x - 12 = -24
<u> +12 +12</u>
x = -12
I have never see a banana 30cm, so 14cm is the right answer.
Answer:
x = -4/5 and -1/2
Step-by-step explanation:
"Finding zeroes" means find the x-values that make f(x) = 0, so we have...
0 = 10x² + 9x + 2
Use quadratic equation to solve...
x = [-9 ± √(9² - 4(10)(2))]/[2(10)]
x = [-9 ± √(81 - 80)]/20
x = [-9 ± √1]/20
x = [-9 ± 1]/20
x = (-9 + 1)/20 and (-9 - 1)/20
x = -8/20 and -10/20
x = -4/5 and -1/2
Answer:
-3.21538461538
Step-by-step explanation:
<u><em>Kavinsky</em></u>
