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3 years ago

9

Solve for all values of x using the quadratic formula when the equation is x2 + 3x +2. use variables with proper assignments for

a, b and
c.

2 answers:

Anna007 [38]3 years ago

7 0

x = [-3 +/- √(3^2 - 4*1*2) ] / 2

= [- 3 + √( 1)] / 2 , [- 3 - √( 1)] / 2

= -2/2 , -4/2

= [-1, -2} answer

KengaRu [80]3 years ago

4 0

X x 3 + X x 2+ X x 3
Reorder the terms

3x + 2x + 3x
Collect the terms

= 8x

And that’s your final answer......

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2 years ago

What ratios are equivalent to 4:3

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3 years ago

Read 2 more answers

Andreas wants to estimate how many fish there are in a lake. One day he catches 20 fish,marks them,and returns them to the lake.

tensa zangetsu [6.8K]

Answer:

50

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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

The student a wood ward voted for a student masctot 5/8 +536 =

tekilochka [14]

Answer: 536.625

Step-by-step explanation:

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3 years ago