Answer:
Step-by-step explanation:
Take out the common factor from the first and second terms and again from the 3rd and fourth terms.
x^2(x + 2) - 9(x + 2)
Take out x + 2 from around the minus sign.
(x + 2)(x^2 - 9)
Factor x^2 - 9 which will come out to the difference of squares.
(x + 2)(x + 3)(x - 3)
This is how it factors.
You could also use synthetic division if you know how it works.
-2 || 1 2 -9 -18
-2 0 18
====================
1 0 -9 0
This gives you (x + 2)(x^3 - 9) just as before.
Answer:
h less-than 2
Step-by-step explanation:
Let
h ---> the number of hours
y ---> the total charge in dollars
we know that
The linear equation is slope intercept form is equal to
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
we have
<em>Grayson</em>
The slope is equal to
The y-intercept is
so
The total charge is equal to
----> equation A
<em>Ian</em>
The slope is equal to
The y-intercept is
so
The total charge is equal to
----> equation B
For what number of hours does Grayson charge more than Ian?
The inequality that represent this situation is
solve for x
Group terms
Divide by 10 both sides
Rewrite the expression
----> h less than 2 hours
Answer: 16 1/4 minutes
Step-by-step explanation:
Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.
We are told that A = 30 min/lawn. B = 45 min/lawn. These are conversion factors, so we can invert them to:
A = 1 lawn/30 min. B = 1 lawn/45 min
If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:
X*(A + B) = Lawn Mowed
We want to know the time, X, it would take to mow the same 1 lawn together. [Lawn Mowed = 1]. Use the equation:
X*(A + B) = Lawn Mowed
X*((1 lawn/30 min) + (1 lawn/45 min)) = 1
X/(30 min) + X/(45 min) = 1
X/30 + X/45= 1
X + X(30/35) = 30 {Multiply both sides by 30]
(1 + 30/35)X = 30
(65/35)X = 30
X = 30*(35/65)
X = 30/(7/13)
X = 30*(7/13)
X = 210/13
X = 16 1/4 minutes
This may or may not be right.
You know that they are a graduate, and the total number of graduates are 2610.
The amount of graduates receiving financial aid is 1879.
The probability that a graduate student is on financial aid is: 1879/2610 = 0.7199 or 72%
1 cake cost 5.60÷7=£0.8
so 10 cake costs 10×0.8=£8
5cake costs 5×0.8=£4
12 cake costs 12×0.8=£9.6