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4vir4ik [10]
2 years ago
6

Is x + 3 a factor of P(x) = x³ - 5x² + 3x + 9 ? Explain.​

Mathematics
1 answer:
Ksju [112]2 years ago
4 0

Answer:

no

Step-by-step explanation:

using the Factor theorem.

If (x + h) is a factor of f(x) then f(- h) = 0

for factor (x + 3) then evaluate P(- 3)

P(- 3) = (- 3)³ - 5(- 3)² + 3(- 3) + 9 = - 27 - 45 - 9 + 9 = - 72

since f(- 3) ≠ 0 then (x + 3) is not a factor of P(x)

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Find an equation for the line that passes through the points (-2,-6) and (6,-4)
JulsSmile [24]
Slope of line
m= (y2-y1)/(x2-x1)
=(-4--6)/(6--2)
=2/8
=1/4

Line in two point form
(y-y1)=m(x-x1)
y--2=(1/4)(x-6)
y+2=(1/4)(x-6)
simplify
4(y+2)=x-6 =>
x-4y-14=0
Alternatively, use the slope intercept form:
y--2=(1/4)(x-6) =>
y=(1/4)x - 3/2-2 =>
y=(1/4)x -7/2

6 0
3 years ago
Given the system of equations, what is the x-coordinate of the solution?
Nimfa-mama [501]
Answer: Choice C) -11

-----------------------------------

Explanation:

The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x. 
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)

Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
6 0
3 years ago
Read 2 more answers
Given the linear equation 2x + y = 6, perform the necessary operations to put the equation into the proper general form. Explain
likoan [24]

Step-by-step explanation:

The general equation is y = mx + c...

The given equation is 2x + y = 6

Firstly, move everything on the left except the y to the right.i.e.

y = 6 - 2x

Secondly, rearrange the values on the right to look just like the general equation.

y = -2x + 6

The equation is now in proper general form because it matches the format laid down.

3 0
3 years ago
Model the expression as groups of x + 2. There are x tiles. There are + 1 tiles. The equivalent expression is .
frez [133]

Answer:

x + 2 = 3

Step-by-step explanation:

x is always = to 1

6 0
3 years ago
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Graph the given equation: y=2x+1
lions [1.4K]
So your slope is 2 and your Y-intercept is 1.

To graph it, start at 0 and go up to number 2.
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