F(x) = x² - 13x + 30
f(x) = x² - 3x - 10x + 30 = 0
f(x) = x(x - 3) -10(x - 3) = 0
f(x) = (x-3)(x-10) = 0
f(x) = 3 OR 10
In short, Your Answer would be Option B & D
Hope this helps!
Answer:
what percent is 24 of 40
Step-by-step explanation:
Answer: $27.50
Step-by-step explanation:
45% = 0.45
$50 × 0.45 = $22.50
$50 - $22.50 = $27.50
Don't worry because I be the dumb too. Me could have been using 0.55 as multiplier but am too dumb so made meself get extra step
Lol
You could have also done:
$50 × 0.55 = $27.50
Answer:
Step-by-step explanation:
In a G.P, the nth term is given as
Un=ar^(n-1)
Where
a is first term
n is nth term
And r is common ratio
So in the question given above,
The third term exceed the first term by 16
i.e U3=U1+16
Where U1=a. First term
U3=a+16
Given also that, the sum if the third term and fourth term is 72.
Then U3+U4=72.
We are told to find common ratio (r)
U3=ar^3-1
U3=ar^2
Also, U4=ar^3
U3+U4=72
ar^2+ar^3=72
ar^2(1+r)=72. equation 1
Also for
U3=a+16
ar^2=a+16
ar^2-a=16
a(r^2-1)=16. From (x^2-y^2)=(x+y)(x-y)
Then,
a(r-1)(r+1)=16. Equation 2
Divide equation 2 by equation 1
a(r-1)(r+1)/ar^2(1+r) =16/72
Then a cancel a and (1+r) cancel (1+r)
So,
(r-1)/r^2=2/9
Cross multiply
9(r-1)=2r^2
2r^2-9r+9=0
Solving the quadratic equation
2r^2-6r-3r+9=0
2r(r-3)-3(r-3)=0
(r-3)(2r-3)=0
r-3=0. Or. 2r-3= 0
Then r=3 or r=3/2
90 degrees, 80 degrees 110 and maybe not mayne 78 degress
