Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
P(x)=f(x)*g(x)
P(x)=(x-400)(1,200-2x)
P(x)=1,200x-2x^2-480,000+800x
P(x)=-2x^2+2,000x-480,000
Answer: Option <span>D. P(x) = -2x2 + 2,000x - 480,000</span>
Simplify 2/3 - 1/7 to 11/21
10/21 + 11/21
Simplify
The answer is 1.
That would be zero.
Obtuse means more than 90 degrees. A triangle's angles add up to 180 degrees so can't have two obtuse angles.
Answer:
The probability can be written as;
6/18
0.333
33.3%
Step-by-step explanation:
First we find the total number of marbles.
4 + 5 + 6 + 3 = 18
Now write the probability in the form of (favourable outcomes / possible outcomes), or 6/18.
Now let's divide.
6 ÷ 18 = 0.33333333... repeating decimal
0.333 × 100 = 33.33333.....%
We can also round this to 33%
