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3 years ago

Please help me asap!!!!!!

Mathematics

1 answer:

padilas [110]3 years ago

3 0

Answer:

z-12

Step-by-step explanation:

you start of by z baseball and i know for a fact that fewer means subtraction so the answer is z-12

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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 value of the expression |-20| - |6| is (1) 26 (3) -14 (2) 14 (4) -26

vova2212 [387]

|-20| = 20 and |6| = 6
so |-20| - |6| = 20 - 6 = 14

7 0

3 years ago

Let f(x)= 7x-13.find f powered to the negative 1 power (x)

Reil [10]

Let f(x) be y so you have
y=7x-13
Reverse the signs of x and y so you have
x=7y-13
And then find the value of y
x+13=7y
(x+13)/7=y
And change y to f(x)-1

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3 years ago

Evaluate: 8 [1/4] 0 1 2 3 Ps> C is not the answer.

eduard

Answer: it is C bro

Step-by-step explanation: cancel the common factor of four

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2 years ago

Which of the following data is used to determine credit scores? A. who stays with you at your current residence B. the location

Crazy boy [7]

Answer:

The length of stay at your current residence is used to determine credit scores. On most credit applications and applications in general, this question is asked to help the lender look up information about your history of payments. When a lender asks this question they are able to determine how long you typically stay in one place, and look up bills at that residence to make sure they are paid on time before giving out a loan. They can also use this information to determine a credit score based on what is being paid on time, late or not at all.

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