The answer would be x less than or equal to 3
(same equality symbol you used)
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
Answer:
<em>Option B; False</em>
Step-by-step explanation:
Consider a Triangle Inequality to prove that these segments could form a triangle;

<em>These segments could not form a triangle</em>
Although A is correct, C is the correct answer. If you don't get a problem like this, try to draw some of the shapes out and then draw a symmetrical line down the middle to find out if it is symmetrical.
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
y is the population of rabbits
x is the number of years since 1991
a is the initial value
r is the rate of change
we have

substitute

For the year 1998
the number of years is equal to
x=1998-1991=7 years
so
we have the ordered pair (7,18,000)
substitute in the exponential equation and solve for r


elevated both sides to 1/7


therefore


Predict the population of rabbits in the year 2006
Find the value of x
x=2006-1991=15 years
substitute the value of x in the equation

