Answer:
Step-by-step explanation:
Instead, since the divisor is in the form of 
, use what is called Synthetic Division. Remember, in this formula, 
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 →
You start by placing the 
in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an 
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of .
I am joyous to assist you anytime.
Answer:
x = -2
Step-by-step explanation:
since y is common in both equations, you can equate them to be equal
-2x² - 4x + 5 = 2x² + 4x + 5
4x² + 8x = 0
factor out 4x
4x(x + 2) = 0
divide both sides by 4x
x + 2 = 0
x = -2
Answer:
Step-by-step explanation:
Simple interest is
I=Prt, where I= interest, P=principle (initial value), r=interest rate, t=time
I=200(0.052)3
I=$31.20
Answer:
D). 
Step-by-step explanation:
<u>STEP 1a:</u> Find the last angle of the triangle. ( which is angle A)
<u>STEP 1b:</u> Solve the equation for A by adding 90 and 45.
<u>STEP 1c:</u> Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation
<u>STEP 1d:</u> Subtract 135 from 180.
STEP 2a: Find side b next.
STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
STEP 2c: Substitute the name of each side into the definition of the cosine function.
STEP 2d: Set up the equation to solve for the adjacent side, in this case b.
STEP 2e: Substitute the values of each variable into the formula for cosine.
STEP 2f: Cancel the common factor of 2.
HOPE THIS HELPS!
Answer: A. Repeated results if the player makes 75% of his shots in the long run.
Step-by-step explanation:
The null distribution is always the opposite of the alternative distribution which in most cases represents the claim or hypothesis which is to be tested or performed. In the scenario given, the challenge is to show that a basketball player has an average higher than that of the NBA. NBA average stands at 75%. The alternative hypothesis is the claim, which is ;
H1 : μ > 75%
THE null is thus :
H0 : μ = 75% ; which means that repeated result of the player will yields an average of 75%
