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3 years ago

7

I need help filling the boxesplease i need it asap

1 answer:

faltersainse [42]3 years ago

6 0

Answer:

m = 3/2

b = 0

y = 3/2x

Step-by-step explanation:

M is the slope, which is the rise/run of a line.

Using this, we know m is 3/2.

B is the y-intercept, which is where the line crosses the y-axis. In this case, B equals 0.

We use this information to put together our final equation of y= 3/2x (since B equals 0, there is no + or - after the slope)

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-12x + 2 = -22 <br> How do you do this?

Phantasy [73]

Answer:

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6 0

3 years ago

Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph

Dennis_Churaev [7]

ANSWER TO QUESTION 1

$f(x)=(x-2)(x+3)(x-1)^2$ .

EXPLANATION

The function given to us is,

$f(x)=x^4-x^3-7x^2+13x-6$

According to rational roots theorem,

$\pm1,\pm2,\pm3,\pm6$ are possible rational zeros of

$f(x)=x^4-x^3-7x^2+13x-6$ .

We find out that,

$f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6$

$f(-3)=81+27-63-39-6$

$f(-3)=6-6$

$f(-3)=0$

Also

$f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6$

$f(2)=16-8-28+26-6$

$f(2)=6-6$

$f(2)=0$

This implies that

$x-2 and x+3$ are factors of

$f(x)=x^4-x^3-7x^2+13x-6$ and hence $(x-2)(x+3)=x^2+x-6$ is also a factor.

We perform the long division as shown in the diagram.

Hence,

$f(x)=(x-2)(x+3)(x-1)^2$ .

ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots

$x=2$ and $x=-3$ have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.

Also the root $x=1$ has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.

Now we determine the position of the graph on the following intervals,

$x\le -3$

$f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6$

$f(-4)=150\:>0$

$-3\le x \le 1$

$f(0)=-6\:$

$1\le x\le 2$

$f(1.5)=-0.56\:$

$x \ge 2$

$f(3)=24\:>0$

We can now use these information to sketch the function as shown in diagram

4 0

3 years ago

Evaluate f(x)=3x-6 when x=2 and x=-4

stiks02 [169]

Answer:

Step-by-step explanation:

Plug in the x

f(2) = 3(-4)-6

2 = -12 - 6

2 = -18

4 0

3 years ago

Describe how you would evaluate this algebraic<br> expression: 7-2m when m=2

Mama L [17]

Answer:

Step-by-step explanation:

Just plug in

7 - 2(2) = 3

7 0

3 years ago

Read 2 more answers

Please help, algebra is annoying

padilas [110]

The zeros are the x-intercepts, which are -2 and 4.

The axis of symmetry is x = 1

The vertex of the graph is (1,9)

7 0

3 years ago