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3 years ago

How would i solve this problem 2x-5=4x-1?

Mathematics

2 answers:

VikaD [51]3 years ago

7 0

2x-5=4x-1
+5= +5
2x=4x+4
-4x=-4x
-2x=4
x=-2

kow [346]3 years ago

5 0

<em>2 x - 5 = 4 x - 1
combine variables and constants we get
2 x - 4 x = -1 + 5
- 2 x = 4
dividing - 2 on other side
x = 4 / - 2
x = - 2 answer...</em>

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A prism has a square base with a side length of 4 1 2 4 1 2 feet. The height of the prism is 6 feet. What is the volume of the p

dusya [7]

We have been given that a prism has a square base with a side length of 4 1/2 feet. The height of the prism is 6 feet. We are asked to find the volume of the prism.

We know that volume of prism is base area times height.

$\text{Area of base}=\text{Area of square}=\text{Side length}^2$

$\text{Area of base}=(4\frac{1}{2})^2$

$\text{Area of base}=(\frac{9}{2})^2$

$\text{Area of base}=\frac{9^2}{2^2}$

$\text{Area of base}=\frac{81}{4}$

$\text{Volume of prism}=\frac{81}{4}\times 6$

$\text{Volume of prism}=\frac{81}{2}\times 3$

$\text{Volume of prism}=\frac{243}{2}$

$\text{Volume of prism}=121\frac{1}{2}$

Therefore, the volume of prism is $121\frac{1}{2}\text{ ft}^3$ and option D is the correct choice.

4 0

4 years ago

If a polynomial function f(x) has roots 3+root5 and -6, what must be a factor of f(x)? (X+(3-root5) (x-(3-root5)) (x+(5+root3))

belka [17]

Answer:

$(x-(3+\sqrt5))$ or $(x-3-\sqrt5)$ is a factor of the given polynomial.

Step-by-step explanation:

Let us learn the concept with an example first.

Let the polynomial be a quadratic function $g(x)$ .

$g(x) = x^{2} -5x+6$

The roots of $g(x)$ are 2 and 3.

Putting $x= 2\ in \ g(x)$

$2^2-5\times 2+6 = 4-10+6 =0$

Putting $x= 3\ in \ g(x)$

$3^2-5\times 3+6 = 9-15+6 =0$

Putting x = 2 or x = 3, g(x) = 0 $\therefore$ The roots of equation g(x) are 2 and 3.

Now, let us try to factorize g(x):

$x^{2} -2x-3x+6\\\Rightarrow x(x -2)-3(x-2)\\\Rightarrow (x-3)(x-2)$

so, the equation can be written as:

$g(x) = x^{2} -5x+6=(x-3)(x-2)$ where 3 and 2 are the roots of equation.

The factors are (x-3) and (x-2).

$\therefore$ for the polynomial f(x) which has roots $3+\sqrt5\ and\ -6$ will have a factor:

$(x-(3+\sqrt5))$ or $(x-3-\sqrt5)$

8 0

4 years ago

An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in

Nikitich [7]

Answer: $4.37\times10^3$

Step-by-step explanation:

Given : Number of choices for novels = 4

Number of choices for plays = 6

Number of choices for poetry books = 5

Number of choices for nonfiction books = 5

Total books =4+6+5+5=20

If he wants to include all 4 novels, then the number of books left to select = 9-4=5

Remaining choices for books = 20-4=16

Number of combinations of n things taking r at a time : $\dfrac{n!}{r!(n-r)!}$

Then, the number of different reading schedules are possible :_

$^4C_4\times^{16}C_5\\\\=\dfrac{4!}{4!(4-4)!}\times\dfrac{16!}{5!(16-5)!}\\\\=(1)\times\dfrac{16\times15\times14\times13\times12\times11!}{120\times11!}\\\\=4368=4.368\times10^3\approx4.37\times10^3$

Hence, the required answer is $4.37\times10^3$ .

8 0

3 years ago

Please please please please help i need to pass please

labwork [276]

Answer:

Step-by-step explanation:

Solution:-

The standard sinusoidal waveform defined over the domain [ 0 , 2π ] is given as:

f ( x ) = sin ( w*x ± k ) ± b

Where,

w: The frequency of the cycle

k: The phase difference

b: The vertical shift of center line from origin

We are given that the function completes 2 cycles over the domain of [ 0 , 2π ]. The number of cycles of a sinusoidal wave is given by the frequency parameter ( w ).

We will plug in w = 2. No information is given regarding the phase difference ( k ) and the position of waveform from the origin. So we can set these parameters to zero. k = b = 0.

The resulting sinusoidal waveform can be expressed as:

f ( x ) = sin ( 2x ) ... Answer

4 0

4 years ago

Explain how you could use a number line to find the number that is 9 less than 1.

lara31 [8.8K]

The answer would be -8 because you would go 9 to the left in the number line

8 0

3 years ago