Answer:

And if we use the permutation formula given by:

And replacing we got:

Step-by-step explanation:
For this problem we want to find the following expressionÑ

And if we use the permutation formula given by:

And replacing we got:

Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
<u> -1 -4 (4 - a) (a - 1) </u>
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
Answer:
9 and 2/5 gallons
Step-by-step explanation:
34 x 9 gallons = 306 miles
14 / 34 = 4/10 of the gallons
4/10 simplified = 2/5
Answer: 9 2/5
The answer is d . Paying less for crops raised by Africa. Americans
Answer:
The BEST statement describes how the triangle could be altered in order to make it a right triangle
B.
One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.
Step-by-step explanation:
Triangle ABC has the side lengths 6 in., 9 in., and 11 in.
The only condition is that satisfy to become Δ ABC a Right angle triangle is
Longer leg (one inch remove) = 9 - 1 = 8 inch
New hypotenuse = 10 inch
So that Pythagoras theorem must satisfy

So (Hypotenuse)² = 10² = 100
(Shorter leg)² = 6² = 36
(Longer leg)² = 8² = 64
So we have,
(Shorter leg)² + (Longer leg)² = 36 + 64
= 100
= (Hypotenuse)²
Therefore, Δ ABC is right Triangle By Converse of Pythagoras Theorem.
Therefore,
The BEST statement describes how the triangle could be altered in order to make it a right triangle
B.
One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.