A) x^2 +x -30 = 0 is factored by looking for two factors of 30 that differ by 1. We know ... 30 = 1*30 = 2*15 = 3*10 = 5*6The last two factors differ by 1, so we can factor the trinomial as (x +6)(x -5) = 0
b) The solutions are found by finding values of x that make these factors zero. The only way the product will be zero is if one or more of the factors is zero. x + 6 = 0 x = -6 . . . . . subtract 6
x - 5 = 0 x = 5 . . . . . add 5
The solutions are x = -6 or x = 5These are the values of x that will satisfy the equation (make it true). What they mean depends on the meaning of the variable and the situation the equation is a model of.
You do 5 times x and 5 times 4 and you’d end up with equation that says 5x-4=6. The you add 4 to both sides of the equation to cancel out the 4. Your equation should now say 5x=10. You divide both sides by 5 and you have your answer x=2
Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:
As per the statement:
we have to find the average rate of change from x = -1 to x = 4
At x = -1
and
at x = 4
Substitute these in [1] we have;
⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1
Answer:
See example below.
Step-by-step explanation:
To scale down by a factor of 1/10, multiply the side length or distance by 1/10.
Example:
If the distance was 5 then 5*1/10 = 5/10 = 1/2 is the scaled down version.
Nah... The answer is Aida’s work. 5 to the power of 4 is the same as 5x5x5x5.
