Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2

Answer:

0, 1, 2

Step-by-step explanation:

Hi there!

0

It is possible for a line and a circle to not intersect at all.

1

It is also possible for a line and a circle to meet at one point only. They would be tangent to each other and touch.

2

Finally, it is possible for a line to intersect the circle. They would appear overlapping. In any of these cases where a line intersects a circle, they would have crossed the circle at two points.

3

A line and a circle can only have a total number of 2 intersection points.

I hope this helps!

The total return will be $5611.8

A 2 year investment of $5,300 earns 2.9%

The investment is compounded annually

The total return can be calculated as follows

= 5300 (2.9/100 + 1)

= 5300 (0.029 + 1)

= 5300(1.029)²

= 5300(1.0588)

= $5611.8

Hence the total return is $5611.8

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Answer:

Step-by-step explanation:

∠1 = ∠2 = 70    {Corresponding angles}

2x +2 y = ∠1

2x + 2y = 70 --------------(I)

2x + y = ∠2

2x +y =  70 --------------(II)

Subtract equation (II) from (I)

(I)    2x + 2y = 70

(II)   2x  + y =  70

     -       -      -     {subtract}

               y  = 0

Plugin y= 0  in equation(I)

2x + 0 = 70

2x = 70

x = 70/2

x = 35

x = 35 ;  y = 0

Answer:

impossible?

Step-by-step explanation:

Answer:

I think this is it 61.33

Have a blessed day <333

Step-by-step explanation:

Ans of your question . in which class do u read?

then is it.........!!!?

5x-12

Answer:

I don't know ask your parents

Step-by-step explanation:

Answer:

1/4 slope

Step-by-step explanation:

From (-8,0) to (-7,4) it goes 1 up and 4 to the right

Answer:

-4x-1

Step-by-step explanation:

-4x-1

Answer:

440 man its so easy just add up all the numbers

Step-by-step explanation:

440

Answer:

1) See the explanation

2) 400 Students

3) 95 Students

Step-by-step explanation:

1) As can be known from the question

Then, draw the venn diagram according to the known conditions.

2) 60 + 75 - 20 = 115 { Draw a venn diagram to calculate }

115 + 285 = 400

3) 60 - 20 + 75 - 20 = 95 ( Draw a venn diagram to calculate }

Answer:

60x$70=$4100

Step-by-step explanation:

ekdjnsjs

Answer:

60 x 70= 4200$

Step-by-step explanation:

60

70   x

_____

(jk no need to do this just multiply them this way,because there are zeros just multiply 6 and 7 which equals 42 then add the zeros which are equal to= 4200$

Answer:

look at the photo..................

Answer:

y=4/5x+B

what is the whole question?

Answer:

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-12*y-(24)=0

Step 1: Pulling out like terms

Pull out like factors :

  4x - 12y - 24  =   4 • (x - 3y - 6)  

Equation at the end of step 1:

Step 2:

Equations which are never true:

Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

Solve   x-3y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 6/-3 = 2/-1  = -2.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

 x-intercept = 6/1  =  6.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is -1.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.333 - (-2.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.667/2.000 =  0.333  

Geometric figure: Straight Line

 Slope = 0.667/2.000 = 0.333

 x-intercept = 6/1 = 6.00000

 y-intercept = 6/-3 = 2/-1 = -2.00000

Answer:

y = 2/3x + 14/3

Step-by-step explanation:

Slope 2/3

Point: (-1,4)

y-intercept= 4 - (2/3)(-1)

= 4 + 2/3

= 14/3

Answer:

I believe it to be the first answer. Since, similar triangles always have the same slope.

Step-by-step explanation:

Answer:

6 mph

Step-by-step explanation:

The average rate of change of the speed of the train will be 6 miles per hour.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that a train decreased its speed by 72 miles per hour in 12 minutes.

As the train is reducing its speed by 72 miles per hour in 12 minutes the average rate of change of the speed will be calculated by dividing the change by the time.

Rate of change = 72 / 12

Rate of change = 6 miles per hour

Therefore, the average rate of change in the speed of the train will be 6 miles per hour.

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Answer:

1/4

Step-by-step explanation:

Answer:

2x+y = 3

Step-by-step explanation:

Let's take y=-2x+b through the point (1,1), so we get b is equal to 3. So this is y=-2x+3, so 2x+y=3

Answer:

There were 4 pieces

Step-by-step explanation:

Answer:

First we need our slope equation

Y₂-Y₁/X₂-X₁

So we have our equation now lets plug it in

-9+2/-4-3 (we make it a plus for -9+2 because the two minuses cancel out).

So now we have -7/-7 which is 1 because -7 divided by itself is one. Thereby your answer is A. 1

Same thing for question 12

1-5/2-4

-4/-2 which is 2 because -2 goes into -4 two times so your answer is A. 2

Step-by-step explanation:

The line given:

Other lines to compare:

Slope=m=+4/3

#1

m=3/4

#2

m=-4/3

#3

m=-3/4

#4

m=4/3

Answer:

2.50 or 2.5

Step-by-step explanation:

1/4=.25 so 25% of a number=5/8=0.625

So we multiply .625*4 to get the number. Since it's 25% and we want 100% to get it back to the original number

.625*4=2.50 or 2.5

Answer:

h(2)=8

Step-by-step explanation:

The problem basically asks you to substitute 2 in, hence h(2).

Here is your base equation.

h(x)=-x^2+6x

Plug in 2.

h(2)=-2^2+6(2)

Simplify, using PEMDAS.

h(2)=-4+12

h(2)=8

There's your answer!

Hope this helped :)

Answer: y = 4x-8

Step-by-step explanation:

(4,-8)

(x,y)

Answer:

Like this...

Step-by-step explanation:

The best represented graph should look something like this :)

(program used is Desmos)

Answer:

x-intercept = 2

Step-by-step explanation:

Sum = 3

Product = -10

Factors = 5 , (-2)      {5*(-2) = -10  & 5 +(-2) = 3)

Rewrite the middle term using the factors: 3x = 5x - 2x

x² + 3x - 10 = x² + 5x - 2x - 10

                  =x(x + 5) - 2(x + 5)

                  = (x +5)(x - 2)

x² + 8x +15 = x² + 3x + 5x + 15

                  = x(x + 3) + 5(x + 3)

                  = (x + 3)(x + 5)

[tex]f(x) =\dfrac{x^{2}+3x -10}{x^{2}+8x + 15}\\\\=\dfrac{(x+5)(x -2)}{(x+5)(x+3)}\\\\=\dfrac{x-2}{x+3)}[/tex]

At x-intercept, y = o

[tex]\dfrac{x -2}{x + 3}=0\\[/tex]

x - 2 = 0

x  = 2