Alexandra's gross annual salary is $38,556. The maximum amount of rent she can afford to pay can be determined by first solving for her monthly gross salary.
Monthly Salary = ($38,556/ 12 months) = $3,213
Assuming that the amount allocated for her rent is 30% of her monthly salary, the maximum amount of rent that she can afford to pay is:
Max allowable rent = $3,213 * 0.30 = $963.90<span />
2
2x
2
+5x−12
1 Split the second term in
2
x
2
+
5
x
−
1
2
2x
2
+5x−12 into two terms.
2
x
2
+
8
x
−
3
x
−
1
2
2x
2
+8x−3x−12
2 Factor out common terms in the first two terms, then in the last two terms.
2
x
(
x
+
4
)
−
3
(
x
+
4
)
2x(x+4)−3(x+4)
3 Factor out the common term
x
+
4
x+4.
(
x
+
4
)
(
2
x
−
3
)
(x+4)(2x−3)
There is no im.age below .
10+90x +6x-60 that’s my answer sorry if it’s wrong the 60 is negative
Answer:
The error is in Step 1. They translated from logarithmic to exponential form incorrectly.
The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.
The correct answer is x = 38.
Step-by-step explanation: