Set p(x) = 0 and solve for x.
x^3 - 4x^2 + 3x - 12 = 0
x^3 - 4x^2 ... + 3x - 12 = 0, cut in half and factor
x^2 (x-4) ... +3 (x-4) = 0, regroup
(x^2 + 3) (x-4) = 0, set each part equal to zero and solve
x^2 + 3 = 0, subtract 3 from both sides
x^2 = -3, take square root of both sides
x = sqrt (-3) which is imaginary.
x-4 = 0, add 4 to both sides
x = 4
Since we do not want complex/imaginary numbers involved, our answer is 4. They will break even in 4 years.
Answer:
I agree with Claire's representation. Sea level is considered as zero, going up in the number line is positive and going down in the number line is negative.
The location 10 feet above sea level is correct. We have to count 10 spaces going upwards from zero. This location is represented by the integer 10.
The location 10 feet below sea level is correct. We have to count 10 spaces going downwards from zero. This location is represented by the integer -10.
Step-by-step explanation:
The attached picture shows two points:
The red point represents 10 feet above sea level. (Integer: 10)
The blue point represents 10 feet below sea level. (Integer: -10)
Sea level is zero.
Answer:
x < - 4
Step-by-step explanation:
-5x + 12 > 32
- 12 > - 12
-5x > 20
-5x/-5 < 20/-5
x < - 4
Hello! First, let's add 1 to the tax rate in decimal form. 6.5% is 0.065. 1 + 0.065 is 1.065. Multiply that number by 25 to get 26.625 or 26.63 when rounded to the nearest penny. The total cost of the movie is $26.63.
Note: If a question asks for the total cost with tax, always add 1 to the tax rate in decimal form. That way, you will get straight to the answer and not have to do any complicating work.
H(t)=-16t+160t+896
Use -b/2a
a=-16
b=160
c=896
t= -160/2(-16) = 5 sec
It will reach it’s highest point at 5 seconds
= -16(5)^2 +160 (5) + 896
= 1296
The Answer is
1296ft