Answer:
x = 3
Step-by-step explanation:
Use FOIL method
(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)
= 3x² <u>- 8x - 15x</u> + 40 {Combine like terms}
= 3x² <u>- 23x</u> + 40
(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)
= 24 <u>- 4x - 18x </u>+ 3x² {Combine like terms}
= 3x² <u>- 22x</u> + 24
(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13
3x² - 23x + 40 = 3x² -22x + 24 + 13
3x² - 23x + 40 - 3x² + 22x - 24 - 13 = 0
<u>3x² - 3x²</u> - 23x + 22x + 40 - 24 - 13 = 0 {Combine like terms}
<u>0 </u> - x = 0
-x +3= 0
3 = x
x =3
Answer:
Option C is the correct answer.
Step-by-step explanation:
Looking at the functions given,
Initial amount deposited into the account is $150 This means that the principal is
P = 150
It was compounded quarterly. This means that it was compounded 4 times in a year. So
n = 4
The rate at which the principal was compounded is 3%. So
r = 3/100 = 0.03
It was compounded for x years. So
t = x years
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore, the
function that models the value in x years of an investment at 3% annual interest compounded quarterly would be
150 (1+0.03/4)^4×x
150 (1 +.0075)^4x
-4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20
Answer:
b
Step-by-step explanation:
3x-2=5
3×=5+2
3x=7
×= answer
Answer:
a÷(b+c)≠(a÷b)+(a ÷c)
Step-by-step explanation:
To verify that a÷(b+c)=(a÷b)+(a ÷c)
Using the values ;
a=10 , b=5 , 6=2
plugging the values into a÷(b+c) should give the same result as (a÷b)+(a ÷c) ;
That is, right hand side = left hand side
a÷(b+c) = 10 ÷ (5+ 2)
a÷(b+c) = 10 / 7
Also;
(a÷b)+(a ÷c) = (10/5) + (10/2) = 2 + 5 = 7
Given the result, it can be seen that ;
RHS ≠ LHS
10/7 ≠ 7