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:
Step-by-step explanation:
5(x+7) + 2(y-1)
here x=7 and y=2
so 5(7+7)+2(2-1)= 5*14+ 2*1
70+2=72
<span>0.000938 in scientific notion.
First we need to move the decimal to its right and we need a number which is between 1-10.
0.000938
00.00938
000.0938
0000.938
00009.38
We moved the decimal 4 times and to the right so it will be negative. -4.
9.38 </span>× 10^-4
Scientific notation of 0.000938 is 9.38 × 10^-4.
Check:-
9.38 × 10^-4 = <span>0.000938
</span>0.000938 = <span>0.000938
</span>Correct!
<span>Scientific notation of 0.000938 is 9.38 × 10^-4.</span>
So what we're dealing with here is a similar triangle situation. Since ML is a midsegment, that means that IL and LJ are congruent. So, IL=LJ=13. This means that the whole side IJ is 26 (13+13=26). We also know that triangle IML and triangle IKJ are similar triangles, so their sides are proportional. This means that we can set up the ratio:
12/13 = x/26
and solve for x.
After multiplying 26 to both sides of the equation, we find that x=24, so KJ=24.
