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2 years ago

What is the value of x innthe equation 1.5(x+4)-3=4.5(x-2)

1 answer:

3 0

$~~~~~~1.5(x+4)-3 = 4.5(x-2)\\\\\implies 15(x+4) -30 =45(x-2)~~~~~~~~;[\text{Multiply both sides by 10]}\\\\\implies 3(x+4)-6=9(x-2)~~~~~~~~~~;[\text{Divide both sides by 5]}\\\\\implies 3x+12-6=9x-18\\\\\implies 3x+6=9x-18\\\\\implies 9x-3x = 18+6\\\\\implies 6x = 24\\\\\implies x = \dfrac{24}6\\\\\implies x =4$

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Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree

kompoz [17]

Answer:

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zero 1 with multiplicity 3.

$p(x) = (x-1)^3$

Zero 4 with multiplicity 2.

Considering also the zero 1 with multiplicity 3.

$p(x) = (x-1)^3(x-4)^2$

Zero -3 with multiplicity 1:

Considering the previous zeros:

$p(x) = (x-1)^3(x-4)^2(x-(-3)) = (x-1)^3(x-4)^2(x+3)$

Degree is the multiplication of the multiplicities of the zeros. So

3*2*1 = 6

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

8 0

3 years ago

J={x|x is an integer and x>-1}

Digiron [165]

The sentence reads:
J equals the value of x such that x is an integer AND x is greater than -1.

Translated to English, we can say J is an integer which is zero or positive, or in other words, J is a non-negative integer.

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3 years ago

1/2(8x-20)=1/4(12x+32)

Mila [183]

Answer:

x=18

Step-by-step explanation:

4x-10=3x+8

4x-3x

x-10=8

8+10

6 0

3 years ago

6.29 rounded to a whole number

Mandarinka [93]

If your were to round 6.29 to the nearest whole number it would round to 6, because the tenths place is less than 5.

7 0

3 years ago

Read 2 more answers

Can someone please help me

dangina [55]

Answer: x=10.0 or just 10

Step-by-step explanation: 4.4=x-5.6

+5.6 +5.6

-----------------------

10.0=x

5 0

3 years ago

Read 2 more answers