Answer:
see explanation
Step-by-step explanation:
Given
x² - 3x - 40 = 0
Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)
The factors are - 8 and + 5, since
- 8 × 5 = - 40 and - 8 + 5 = - 3, thus
(x - 8)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x + 5 = 0 ⇒ x = 5
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Given
4x² - 81 = 0 ← this is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
4x² - 81
=(2x)² - 9²
= (2x + 9)(2x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - 
2x - 9 = 0 ⇒ 2x = 9 ⇒ x = 
If they’re all weighted equally, then your average grade will be 79.9%
Answer:
68%
Step-by-step explanation:
Calculate percentage change
from V1 = 82 to V2 = 138
(V2−V1)|V1|×100
=(138−82)|82|×100
=5682×100
=0.682927×100
=68.2927%change
=68.2927%increase
=68%
The second item would be $88 before tax since the tax rate is <span>9.375%</span>
Step-by-step explanation:
mean of cheese = 99+8+10/3 = 117/3 = 39
mean of butter = 41+16+0/3 = 57/3 = 19
mean of non fat dairy milk = 255+8+15/3 = 278/3 = 92.6~93
median of cheese 8, 10, 99 median is 10
median of butter 0, 16, 41 median is 16
nonfat dairy milk 8, 15, 255 median is 15
range of cheese 99-10 = 88
range of butter 41-16 = 25
range of nonfat dairy milk = 255-8 = 247