Write a conjecture for the following situation - the product of three odd numbers.
Answers
Answer:
5
Step-by-step explanation:
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Solve 2x²-3x-7=0 using completing the square method
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5y – 2x = 4 and x = 8.
Match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5
Answers
Answer:
Step-by-step explanation:
The easiest way to do this is by using synthetic division (I really hope you know what I'm talking about!)
If the factor is x + 2 = 0, then the solution or the root is x = -2. We will put -2 outside the "box" and the coefficients from the terms of the polynomial inside the "box":
-2| 1 0 0 8
Bring down the first number and multiply it by the -2. Put the product up under the first 0 and add:
-2| 1 0 0 8
-2
1 -2
Now multiply the -2 by the -2, put the product up under the next 0 and add:
-2| 1 0 0 8
-2 4
1 -2 4
Now multiply the 4 by the -2, put the product up under the 8 and add:
-2| 1 0 0 8
-2 4 -8
1 -2 4 0
Those bold numbers are the coefficients to the quotient, which is another polynomial, but is one degree less than the one you started with:
x² - 2x + 4 = 0
Since there is no remainder, then x = -2 is a zero of x³ + 8, and (x + 2) is a factor.
There is a whole world of stuff to learn about quadratics!!
Answers
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 7) ← 2 ordered pairs from the table
m = =
= 2
The line crosses the y- axis at (0, 1 ) ← from table
Then c = 1
y = 2x + 1 ← equation of line
O 4 - 3i
O 4 +3i
O 4+i
Answers
Answer:
4+i
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Answers
P(x)=x^4-4x^3-2x^2+12x+9=0
P(3)=3^4-4*3^3-2*3²+12*3+9=81-108-18+36+9=0
P(-1)=(-1)^4 - 4*(-1)^3 -2*(-1)²+12*(-1)+9=1+4-2-12+9=0
P'(x)=4x^3-12x²-4x+12
P'(-1)=4*(-1)^3-12*(-1)²-4*(-1)+12=-4-12+4+12=0
(-1) is a double root
Ok 3,-1,-1 are roots.
If the 4th root is not a real but a complex (a+ib), its conjugate will be also a root , there would be 5 roots and not 4
So, the 4th root is real and equal to 3 ( a double root)
x^4-4x^3-2x²+12x+9=0
==> x^4+x^3-5x^3-5x²+3x²+3x+9x+9=0
==>x^3(x+1)-5x²(x+1)+3x(x+1)+9(x+1)=0
==>(x+1)(x^3-5x²+3x+9)=0
==>(x+1)(x^3+x²-6x²-6x+9x+9)=0
==>(x+1)[x²(x+1)-6x(x+1)+9(x+1)]=0
==>(x+1)²(x²-6x+9)=0
==>(x+1)²(x-3)²=0
P(x)=(x+1)²*(x-3)²
if (1, y) is on the graph, then y =
Answers
Answer:Y=6
Step-by-step explanation:
Y=-x+7
For -x put 1 for the -x
So y=-1+7
Y=6
Answers
Answer:
1) c/d = pi
Step-by-step explanation:
since c= pi x d
divide both sides by d
c/d = pi