Answer:
x = - 5, x = - 3
Step-by-step explanation:
Given
x² + 15 = - 8x ( add 8x to both sides )
x² + 8x + 15 = 0 ← in standard form
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)
The factors are 5 and 3, since
5 × 3 = 15 and 5 + 3= 8, thus
(x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 3 = 0 ⇒ x = - 3
Answer:
C
Step-by-step explanation:
16 ounces is equal to 1 pound
Divide 54 by 16 and you get 3.375
You know that there are 3 pounds now, so subtract 3 from what you got to get 0.375
Now multiply 0.375 by 16 to turn it back into ounces, which is 6
3 pounds and 6 ounces is answer choice C
The factors of a polynomial function are the zeros of the function
It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3
<h3>How to show why the x - 3 is a factor</h3>
The function is given as:
m(x) = x^3 - x^2 - 5x - 3
The factor is given as:
x - 3
Set the factor to 0
x - 3 = 0
Solve for x
x = 3
Substitute 3 for x in the function
m(3) = 3^3 - 3^2 - 5(3) - 3
Evaluate
m(3) =0
Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3
Read more about factors at:
brainly.com/question/11579257
Complete question :
When the monarch butterfly is migrating to the south, it has an average speed of 80 miles per day. Write an equation that shows the realtionship between the number of days (t) and the distance (in miles) it has traveled (d)
Answer:
d = 80t
Step-by-step explanation:
Given :
Average speed = 80 miles per hour
Distance traveled (in miles) = d
Number of days = t
Equation which shows the Relationship between Number of days and distance traveled :
Recall :
Speed = distance / time
Speed = 80 ; distance = d ; time = t
80 = d/t
80 * t = d
d = 80t
Answer:
Sharon
Step-by-step explanation:
The given parameters are;
The number of persons that rode on the small train = 5
The number of cars in the train = 5
The position Maren sat = Last car
The position Aaron sat = Directly behind Sharon
The position Darren sat = In one of the cars in front of Aaron
The position of one of the members = Between Karen and Darren
The given seating arrangement is as follows;
Maren → Aaron → Sharon → Darren → Karen
Therefore, the person who sat in the middle car is Sharon.
