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tigry1 [53]
3 years ago
10

ASAP 4th GRADE MATHHH 1.99 + 0.39 - 6.12

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

-3.74

Step-by-step explanation:

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cos (x)  \leq \frac{sin (x)}{x}  \leq 1

Apply limit as x->0
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X+4/5 is less than or equal to -2
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Answer:

Step-by-step explanation:

less than I think

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What is the completely factored form of f(x)=x3−7x2+2x+4?
expeople1 [14]

Answer:

Factored form is

f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))


Step-by-step explanation:

Given that  

f(x)=x3−7x2+2x+4

To solve for x  we factorise the right side

f(x)=x3−7x2+2x+4

Let us substitute x for various values to check whether remainder is zero.

i.e. f(1) = 1-7+2+4  =0

     

Hence x-1 is a factor

Do synthetic division to find the quotient

1       1    -7    2    4

              1     -6   -4

       ----------------------

        1    -6    -4   0

i.e. we get remainder 0 and quotient as

x^2-6x-4

Use completion of squares method to solve this

x^2-6x-4

= (x-3)^2+5=0

x-3= ±√(-5)

Or x=1,3+√(-5,)  3-√(-5,)

Are the roots

Factored form is

f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))


3 0
3 years ago
One plumber charges a flat fee of $50 to come to the house and then
yan [13]

Answer:

C=50+20h

Step-by-step explanation:

Since 20 is going to be added every hour, that is the h value. Since 50 is the the initial payment, that is the other value

4 0
3 years ago
Read 2 more answers
Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2
drek231 [11]

<u>Answer:</u>

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is x^{3}-2 x^{2}-x+2=0

<u>Solution:</u>

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is  

F(x)=x^{3}-(a+b+c) x^{2}+(a b+b c+a c) x-a b c=0

where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0

\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}

So, the equation is x^{3}-2 x^{2}-x+2=0

Let us put x = 0 in f(x) to check whether our answer is correct or not.

\mathrm{F}(0) \rightarrow 0^{3}-2(0)^{2}-0+2=2

Hence, the equation of the polynomial is x^{3}-2 x^{2}-x+2=0

3 0
3 years ago
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