Answer:
(x - 2)(5x + 3) = 0
Step-by-step explanation:
5x² - 7x - 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 6 = - 30 and sum = - 7
The factors are - 10 and + 3
Use these factors to split the x- term
5x² - 10x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x - 3) = 0 ← in factored form
Answer:
D. 251.2 feet
Step-by-step explanation:
On carefully observing the diagram,it can be seen that 80 feet is the diameter of the circular ride, i.e.,the circle,in this case.
The radius of the circle will be half the diameter,r=(80/2) feet=40 feet
The distance of one complete loop of this circular path will be the circumference of the circle.
So, Circumference
=2*π*r
=2*3.14*40 feet
=251.2 feet [ANS]
Step-by-step explanation:
Follow PEMDAS

P: Parentheses
E : Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction

Question 2

Answer:
<h2>f( - 1) = - 4</h2>
Step-by-step explanation:
f(x) = 3x - 1
To find f(-1) substitute the value of x that's
- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve
That's
f( - 1) = 3(-1) - 1
= - 3 - 1
We have the final answer as
<h3>f(-1) = - 4</h3>
Hope this helps you