For this case we must simplify the following expression:
To do this, we convert the mixed numbers to improper fractions:
Answer:
Step-by-step explanation:
I hope I'm correct. I've never learnt differentiation for log and exponents before
OK. These problems are easy if you know the quadratic formula,
and they're impossible if you don't.
Here's the quadratic formula:
When the equation is in the form of Ax² + Bx + C = 0
then x = [ -B plus or minus √(B²-4AC) ] / 2A
I'm sure that formula is in your text or your study notes,
right before these questions. You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.
The first question says 3x² + 5x + 2 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes ! A=3 B=5 C=2
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
= [ -5 plus or minus √(5² - 4·3·2) ] / 2·3
= [ -5 plus or minus √(25 - 24) ] / 6
= [ -5 plus or minus √1 ] / 6
x = -4 / 6 = -2/3
and
x = -6 / 6 = -1 .
_______________________________________
The second question says
4x² + 5x - 1 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes it is ! A=4 B=5 C= -1
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
Now, you take it from here.
Answer:
Third option: 2x^3-11x^2+16x-3
Step-by-step explanation:
The product to be found is:
Distributive property will be used for the product:
Multiplication will give us:
The product is: 2x^3-11x^2+16x-3
Hence, third option is the correct answer ..
Answer:
3,000 words
Step-by-step explanation:
we know that
Emilio cay type 850 words in 17 minutes
Remember that
so
using proportion
Find out how many words can Emilio type in 60 minutes (one hour)
Let
x ---> the number of words