Answer:
4(a + 6)
3(x - 4)
Step-by-step explanation:
Factoring is just rewriting an expression into the parts that multiply together to make the original...like if I had a 100 but decided instead to write 4×25 or if I had 25x I wrote 5(5x) .
If you look at your
4a + 24
You're looking for whatever is the same in both pieces (the 4a and also the 24) So there is a 4 in 4a and there is also a 4 "in" 24 (as in 4×6 is 24)
So if you pull out that 4 and throw it up front, whatever is left behind goes into a pair of parentheses.
4 (____ + ____)
4(a + 6)
This is your factored form bc if you multiply that 4 back in you'll get the original expression back again.
4a + 24
= 4(a + 6)
It's like factoring is "un-distributive" property.
Theres a 3 in 3x and also in 12
3x - 12
= 3(x - 4)
The answer is both all real numbers less than 0 and all real numbers greater than 0
Answer:
The volume per dose that the patient should receive is 3.8 ml
Step-by-step explanation:
The physician ordered oncovin 2 mg/m² for chemotherapy treatment of a malignant tumor.
The adult's BSA (Body surface area) = 1.9m²
Hence, the amount of oncovin needed based on his body weight is:
2mg/1 m² = x mg/1.9m²
Cross Multiply
x mg = 2mg × 1.9
x = 3.8mg
We are told , oncovin is supplied:1 mg/ml
Hence:
This means
1 mg = 1 ml
3.8 mg = x ml
Cross Multiply
x ml = 3.8 ml
The volume per dose that the patient should receive is 3.8 ml
If the discriminant b^2-4ac is 0, then you have TWO EQUAL, REAL ROOTS.
If you're given the x-intercepts, you can determine the factors of the polynomial as follows: Take -3, change the sign and write (x+3). Take 5, change the sign and write (x-5). Then the eq'n of the parabola is
f(x) = (x+3)(x-5) = x^2 - 2x -15, in which a=1, b = -2 and c= -15.
You can find the x-coordinate of the vertex, which is also the equation of the axis of symmetry, using
x= -b / (2a). Here, x = -(-2) / (2[1]), or x = 1
Find the y-coordinate by subbing 1 for x in the equation above:
y = (1)^2 - 2(1) - 15 = 1 - 2 - 15 = -16
The vertex is at (1, -16) and the equation of the axis of symm. is x = 1.
Hope this helps
3,-13
-1,3
0,-1
3,-13
and the second one is 
;; it's tricky because the denominators aren't the same. You have to factor all of the denominators and multiply only the expressions that the other numbers are missing.
. Multiply 
to the left side and 
to the right, since those are the values the denominator is missing. This results in 
. When simplified, the answer would be 
. Like the first one, multiply the missing value to the right side, 
, and simplify, resulting in