8x(x - 6)1/2 + 4(x - 6)3/2 = 0
8x(x) - 8x(6)1/2 + 4(x) - 4(6)3/2 = 0
8x² - 48x(1/2) + 4x - 24(3/2) = 0
8x² - 24x + 4x - 36 = 0
8x² - 20x - 36 = 0
x = <u>-(-20) +/- √((-20²) - 4(8)(-36))</u>
2(8)
x = <u>20 +/- √(400 + 1152)</u>
16
x =<u> 20 +/- √1552</u>
16
x = <u>20 +/- √(16 × 97)</u>
16
x = <u>20 +/- √16 √97
</u> 16<u>
</u>x = <u>20 +/- 4 √97
</u> 16
x = <u>20 +/- 4(9.848857802)</u>
16
x = <u>20 +/- 39.39543121</u>
16
x = <u>20 + 39.39543121</u> x = <u>20 - 39.39543121</u>
16 16
x = <u>59.39543121</u> x = <u>-19.39543121</u>
16 16
x = 3.71221445 x = -1.212214451
<u />
Answer:
True
Step-by-step explanation:
3x8=24
24-63=-39
39=39
Hence, the equation is true.
The number of cookies packs needed if the treasurer buys 1 package of brownies bites is 5 packs
<h3>Equation</h3>
- Total attendance = 75 people
- Cookies in each pack = 12
- Brownies in each pack = 15
- Number of cookies pack = c
- Number of brownies pack = b
15b + 12c = 75
If 1 package of brownies is bought
15b + 12c = 75
15(1) + 12c = 75
15 + 12c = 75
12c = 75 - 15
12c = 60
c = 60/12
c = 5 packs
- It is a reasonable value in this context
If 9 packages of brownies are bought
15b + 12c = 75
15(9) + 12c = 75
135 + 12c = 75
12c = 75 - 135
12c = -60
c = -60/12
c = -5 packs
- The value is not reasonable in this context
Learn more about equation:
brainly.com/question/4344214
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Answer:
(−3x−5)(3x+5)
Step-by-step explanation:
−9x2−30x−25
−9x2−30x−25
=(−3x−5)(3x+5)
For this case the total taxes are given by:
Then, we can make the following rule of three:
11595 ---------> 100%
955 ------------> x
From here, we clear the value of x.
We have then:
x = 8.2%
Answer:
The overall tax rate (to the nearest tenth) is:
8.2%
