Answer:
3(x - 5)(x + 1).
Step-by-step explanation:
3x^2 - 12x - 15
Dividing through by 3:
= 3(x^2 - 4x - 5)
We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:
3(x - 5)(x + 1).
It will take 8 seconds for all of the dominoes to fall over.
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:

Divide both sides by 10:

We will use logarithms to solve this:
Answer: 2 is the nearest whole number.
Step-by-step explanation:
Y= mx+b is the the equation just plug it in
Slope is M and y-intercept is B
So 11) is Y= -1x+2
Answer:
15 cartons of Hammers were ordered
Step-by-step explanation:
Cost per carton of Hammer = $100
Cost per carton of Wrenches = $150
Total Carton = 25
Total Cost = $3,000
Required
Determine the numbers of Hammer and Wrenches
Represent the hammers with H and the wrenches with W
So;

and

Make W the subject of formula in the first equation:


Substitute 25 - H for W in the second equation


Collect Like Terms


Divide both sides by -50



<em>Hence, 15 cartons of Hammers were ordered</em>