Answer:
x= -6 twice
Step-by-step explanation:
x^2-3x-10/x^2+12x+36
By using undefined fraction we only take the denominator and equate it to 0
x^2+12x+36=0
x^2+6x+6x+36=0
(x^2+6x)+(6x+36)=0
x(x+6)+6(x+6)=0
(x+6)(x+6)=0
x+6=0 or x+6=0
x= -6 or x= -6
therefore x= -6 twice
Answer:
Step-by-step explanation:
Recall that the unknown (x) here is the log base 32 of 2, so we can write this as the equation:
The above equation can be solved by the "change of base formula":
We can also answer this by trying to solve the exponential equation:
Where we are asked what is the exponent (x) at which we need to raise the base (32) in order to obtain the answer "2"?
Notice that since
Then 
And 1/5 = 0.2 which also agrees with our previous answer
So 0.5 ft per day is the same as 0.5 ft per 24 hours. This equals 0.5/24 ft an hour. 0.5 ft /24=0,02083 ft. Simple conversion yields 0.02083*12=0.25. So the vine can grow by .25 inches per hour.
Answer:
10.75 cm^2
Step-by-step explanation:
1. Area of semicircle, A= (pi x R^2) divided by 2
2. A= (3.14 x 5^2) divided by 2 = 39.25
3. Area of rectangle, A= l x w
4 A= 10 x 5 = 50
5. subtract
6. 50 - 39.25
7. 10.75
N*0.045+2n*0,050+(1,000,000-3n)*0,040=45,500
n*0.145-n*0.120=45,500-40,000
n*0.025=5,500
n=5,500/0.025
n=220,000 in <span>short-term notes paying 4.5%
2n=440.000 </span>in government bonds paying 5%
1,000,000-3n=1,000,000-660,000=440,000 in utility bonds paying 4%
