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
9514 1404 393
Answer:
13 square units
Step-by-step explanation:
See the attached figure.
The horizontal dashed line divides the figure into two pieces:
- a triangle 4 wide and 2 high
- a trapezoid 2 high with bases 5 and 4
The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.
A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units
A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units
The area of the shape is ...
(4 +9) square units = 13 square units
Answer:
-22y+27
Step-by-step explanation:
(4y-9)(2y-3)
<u>Distribute:</u>
8y-12y-18y+27
<u>Combine like terms:</u>
8y-12y-18y=-22y
-22y+27
Answer:
'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.
Step-by-step explanation:
We are given that,
Distance between Earth and Jupiter = 5.9 × 10⁸ kilometers
Distance between Earth and Mercury = 7.7 × 10⁷ = 0.77 × 10⁸ kilometers
So, we see that,
5.9 × 10⁸ > 0.77 × 10⁸
Also, Ratio = 
That is,
'The closest distance between Earth and Jupiter is greater than the closest distance between Earth and Mercury by approximately 7.66 times'.
