Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)
Step-by-step explanation:
x^2-8x=24 <- subtract 24 from both sides
x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a
-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify
(-(-8) +/- 4sqrt(10) )/2 <- sepereate
(-(-8) +/4sqrt(10) )/2 , (-(-8) - 4sqrt(10) )/2 <- simplify
2(2+sqrt(10)) , 2(2-sqrt(10) =x
Answer:
578.5$
Step-by-step explanation:
first we calculate 35% of $890
890 * 0.35 = 311.5$
Then we subtract 35% from the original price to obtain the final price
890-311.5=578.5$ <---- final price
Answer:
P(x) = x³ - 3x² - 5x + 15
Step-by-step explanation:
∵ The roots of the polynomial are -√5 , √5 , 3
∴ The polynomial has 3 factors:
(x - √5) , (x + √5) , (x - 3)
∴ P(x) = (x - √5)(x + √5)(x - 3)
= (x² + √5x - √5x - 5)(x - 3)
= (x² - 5)(x - 3) = x³ - 3x² - 5x + 15
∴ P(x) = x³ - 3x² - 5x + 15
Answer:
A. 3/2
Step-by-step explanation:
When two exponents have the same base, you can cancel the bases and set the exponents equal to each other
3x-2=x+1
3x=x+3
2x=3
x=3/2
Answer:
7/10
Step-by-step explanation:
I've attached an image on how you can use the diagram they gave you.
If you color in 7/10s and 7/12s you'll notice that 7/10s is greater.
This is because 1/10 of the whole is greater than 1/12 of the whole.
For 1/10, the whole is being divided into 10, so it equals 0.1.
On the other hand, in 1/12, the whole is being divided by 12, so a part equals 0.083
0.1 is greater than 0.083, so 7 of 0.1 is greater than 7 of 0.083
