Answer:
To find the product, we use FOIL method.
First terms
Outer terms
Inner terms
Last terms
Product = (7x * 8x) + (7x * 5) + (-4 * 8x) + (-4 * 5) =
Product = 56x2 + 35x - 32x - 20 =
Product = 56x2 + 3x - 20
Step-by-step explanation:
Yes because K is a variable not a number
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
Answer:
about 748.2 ft^2
Step-by-step explanation:
We can break up the hexagon of side length 12 into 6 congruent equilateral triangles of side lengths 12. Thus by finding the area of 1, we can multiply it by 6 to get the area of the hexagon.
Formula for area of equilateral triangle: ((side^2)√3)/4
We plug in the side as 12, and we get 72√3
We then multiply by 6 to get the approximate answer of 748.2 ft^2
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Answer: Its expected amount earned as profit is $132,860.
Step-by-step explanation:
Since we have given that
Number of patrons = 14600
Percentage of patrons will buy at least one souvenir = 65%
So, Number of patrons will buy at least one souvenir is given by
Amount from the sale of each souvenir = $20
So, total amount would be
Percentage of its proceeds donates to local charities = 30%
Remaining percentage of its proceeds donates to local charities = 100% - 30% = 70%
So, it becomes,
Hence, its expected amount earned as profit is $132,860.