Answer:
<em>( -4 , 3 )</em>
Step-by-step explanation:
<em>Knowing that "y" is the line going up and down and "x' is the line going left to right.</em>
<em>Quadrant | = ( + , + )</em>
<em>Quadrant || = ( - , +)</em>
<em>Quadrant ||| = (- , - )</em>
<em>Quadrant |v = ( + , - )</em>
<u><em>Refer to image below if needed.</em></u>
<em>Hence, from the given we can conclude the following:</em>
<em>Quadrant || = ( - , +)</em>
<em>( x , y )</em>
<em>x = -4</em>
<em>y = 3</em>
<em />
<em>Thus, we have:</em>
<em>( -4 , 3 )</em>
<em />
<em>Therefore, the correct answer is ( -4 , 3 )</em>
<em />
<u><em>Kavinsky</em></u>
<em />
Answer:
d. 7, -14, 28, -56, 112
Step-by-step explanation:
f(2) = -2(7) = -14
f(3) = -2(-14) = 28
f(4) = -2(28) = -56
f(5) = -2(-56) = 112
Answer:
1/3
Step-by-step explanation:
The given <span>polynomial is ⇒⇒⇒ </span><span>f(x) = x³ - 3x² + 81x - 243
</span>
by factoring the absolute term (243) to find one of the factors of the the polynomial
∴ 243 = (1 * 243) or (3 * 81) or (9 * 27)
check which of the numbers {1 , 3 , 9 , 27 , 81 , 243} make f(x)<span>= 0
</span>
i have checked 3 and it makes <span>polynomial = 0
</span>
i.e: f(3) = 0 ⇒⇒ (x - 3) is one of the factors of f(x)
By using the reminder theorem ⇒⇒ see the attache figure
∴
And ⇒⇒ (x² + 81) is a sum of two squares which can be factored using the complex numbers as following
x² + 81 = ( x + 9i ) ( x - 9i )
∴ f(x) = <span>
x³ - 3x² + 81x - 243 = (x - 3)(x + 9i)(x - 9i)</span>
Hello!
So, Jessie made 7 stacks of dimes and 8 stacks of nickels.
Each stack of dimes has 6 dimes.
Each stack of nickels has 5 nickels. Multiply:
6 × 7 = 42
8 × 5 = 40
Then she finds another dime and another nickel.
42 + 1 = 43
40 + 1 = 41
43 + 41 = 84
ANSWER:
Jessie has 43 dimes, 41 nickels, and 84 coins in all.
