Answer:
x = - 2, x = -
Step-by-step explanation:
Given
5x² + 1 = - 13x - 5 ( add 13x - 5 to both sides )
5x² + 13x + 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 = 13
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
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = -
When the definition of a function involves a fraction, the function is undefined at any value that would make the denominator of the function is; a) 0
What is an Undefined Function?
A function that is a fraction is said to be undefined when the denominator is equal to zero. If there are variables in the denominator, the point at which the expression in the denominator is zero is the point where that function is undefined.
From the question, we want to know what the value of the denominator of a fraction will be to make that fraction undefined. From the definition above, it is clear that the value would be zero.
Read more about Undefined function at; brainly.com/question/13136492
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Answer:
3 times more.
Step-by-step explanation:
The odds of landing a dart in any of the circles correspond to the surface area of the circle.
Calculate the surface area of both circles:
The formula for the area of a circle is .
- inner circle:
- for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area:
Calculating greater chance:
Divide the larger area by the smaller area:
That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.
Answer:
f(0) = 2
Roots are;
-2 and -1
Step-by-step explanation:
F(0) simply refers to the y-values when x = 0
This is the point at which the graph crosses the y-axis
the value here is 2
To
find the roots of f(x) , we simply find the points at which the plot crosses the x-axis
we have this at x = -2 and x = -1
These are what represents the roots of the equation