Answer:
a. (2+3)×4²+1=81
b. (2+3)×(4²+1)=85
c. 2+(3×4²)+1=51
d. 2+3×(4²+1)=53
Step-by-step explanation:
a. Parentheses about the 2 + 3 - then use PEMDAS to give 5 * 16.
b Inserting 2 parentheses makes it 5 * 17 = 85.
c.Inserting the parentheses simplifies it to 2 + 48 + 1 = 51.
d. Inserting the parentheses makes it 2 + 3*17 = 53
- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
The answer to this is the lower right option.
Step-by-step explanation:
Just remember that no two points can share the same x.
According to the information given, the system of inequalities that models the situation is given by:
<h3>System of inequalities:</h3>
For the system, the variables are:
- x is the number of hours that Pump 1 runs.
- y is the number of hours that Pump 2 runs.
They will run for at least 18 hours in a day but obviously no more than 24 hours in a day, hence:


Pump 1 can move 120 gallons per hour while Pump 2 can move 200 gallons per hour. In total the two pumps must move at least 3,000 gallons of water per day, hence:

You can learn more about system of inequalities at brainly.com/question/14361489
J is not similar cause they have not 2 angles equal.
90. 45. 45
90, 47, 43