Answer:
The solution sets are 1, 5 and 7
Step-by-step explanation:
Given the polynomial function,
f(x) = x³-13x²+47x-35
If 1 is a zero function of f(x), according to factor theorem, the linear equation x-1 is a factor of the polynomial.
To get the other solution set, we will have to divide the polynomial function by x-1 and factorize the quotient function.
Factorising the resulting quotient function.
Q(x) = x²-12x+35 = 0
= x²-5x-7x+35 = 0
= x(x-5)-7(x-5) = 0
(x-5)(x-7) = 0
x-5 = 0 and x-7 = 0
x = 5 and 7
Answer:
1767.1 inches cubed
Step-by-step explanation:
The volume of a ball, or a sphere, is: , where r is the radius.
Here, the radius is r = 7.5. So, plug in this value:
562.5 pi is about 1767.1 inches cubed.
Thus, the volume is 1767.1 inches cubed.
Hope this helps!
Blaire has 20 tomato plants altogether.
Step-by-step explanation:
Given,
Tomatoes plants ready to pick = 18
This represents 90% of total tomato plants.
Let,
x be the original number of tomato plants.
90% of x = 18
Dividing both sides by 0.9
Blaire has 20 tomato plants altogether.
Keywords: percentage, division
Learn more about division at:
#LearnwithBrainly
Answer:
<u>Algebraically</u>
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
<u>Graphically</u>
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
