Answer:
see explanation
Step-by-step explanation:
Given
9n² - n - 
= 0 ← multiply through by 3 to clear the fraction
27n² - 3n - 2 = 0 ← factoring
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term
product = 27 × - 2 = - 54 and sum = - 3
The factors are - 9 and + 6
Use these factors to split the n- term
27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )
9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term
(3n - 1)(9n + 2) = 0
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = 
9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - 
L=(8/3)W = 24 ft. Solving for W, we mult. both sides of this eqn by (3/8), obtaining
W = (3/8)(24 ft) = 9 ft (answer)
Answer:
The algebraic expression is 80d
Step-by-step explanation:
Maria's earnings per day = $80
Number of days= d
Total earnings for d days:
80d
Where,
80 is earnings per day
d is number of days
The algebraic expression is 80d
Algebraic equation is
y= 80d
Where
y= total income earned in d days
The expression is different from am equation because of the equal to sign(=)
Answer:
6
Step-by-step explanation:
Question tests the ability to get quotient
Here, 32 ft is divided by 5’3”
Normally, ft is denoted by ' while inches is denoted by ". So we divide 32 ft by 5ft and 3 inches
First, we convert dimensions into similar units. To convert 5’3” to ft, we divide 3” by 12 hence 3÷12=0.25'
The total is now 5.25'
Now
32'÷5.25'=6.1538461538461
This means, we shall obtain 6 whole pieces with some remainder. Since the question needs the whole pieces only, then the answer is 6
A. solve for 1 variable
let's solve for x in 2nd equation
add 2y to both sides
x=2y+4
sub 2y+4 for x in other equation
3(2y+4)+y=5
6y+12+y=5
7y+12=5
minu12 both sides
7y=-7
divide 7
y=-1
sub back
x=2y+4
x=2(-1)+4
x=-2+4
x=2
(2,-1)
B. eliminate
eliminate y's
multiply first equation by 2 and add to first
6x+2y=10
<u>x-2y=4 +</u>
7x+0y=14
7x=14
divide by 7
x=2
sub back
x-2y=4
2-2y=4
minus 2
-2y=2
divide -2
y=-1
(2,-1)
(2,-1) is answer
