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3 years ago

Solve for x

Mathematics

1 answer:

sesenic [268]3 years ago

8 0

Answer:

18/5

Step-by-step explanation:

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A gym's membership in 2012 was 9,300. The current membership is 2,800. Which expression can be used to find the

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Answer:

Find the difference between the two, divide by the years, and should get the percent of change

the answer is b

Step-by-step explanation:

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3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Pepsi [2]

Answer:

$4y = 16-2x\\y = \frac{16}{4} - \frac{2x}{4}\\ y = \frac{-1x}{2}+4\\y = 0.5x+4$

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4 years ago

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Help would be appreciated!

charle [14.2K]

C)
10hrs will get around 105 salaries
90hrs get 840+105=945
95 hours get 945+(105/2)=997.5
100 hours get 945+105=1050

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4 years ago

Simplify. <br><br> −3x3(−2x2+4x−3)

stepladder [879]

Answer:

$-3x^3(-2x^2+4x-3)$ simplifies to $6x^5-12x^4+9x^3$

Step-by-step explanation:

Given expression $-3x^3(-2x^2+4x-3)$

We have to simplify the above expression,

Consider the given expression $-3x^3(-2x^2+4x-3)$

Multiply each term in brackets by $-3x^3$ , we get,

$-3x^3(-2x^2+4x-3)=-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)$

Solving further, using $x^n\cdot x^m=x^{n+m}$ we get,

$-3x^3(-2x^2)-3x^3(4x)[-3x^3(-3)=6x^5-12x^4+9x^3$

Thus, $-3x^3(-2x^2+4x-3)$ simplifies to $6x^5-12x^4+9x^3$

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3 years ago

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A rectangle has vertices E(4,8), F(2,8), G(2,-2) and H(-4,-2). The rectangle is dilated with the origin as the center of dilatio

Leona [35]

Note: The image of G after the dilation must be G'(5,-5) instead of G'(5,5).

Given:

The vertices of a rectangle are E(4,8), F(2,8), G(2,-2) and H(-4,-2).

The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,-5).

To find:

The algebraic representation that represents this dilation.

Solution:

If a figure is dilated by factor k with origin as the center of dilation, then the dilation is defined as:

$(x,y)\to (kx,ky)$ ...(i)

Let the given rectangle is dilated by factor k with origin as the center of dilation. Then,

$G(2,-2)\to G'(k(2),k(-2))$

$G(2,-2)\to G'(2k,-2k)$

The image of G after dilation is G'(5,-5). So,

$(2k,-2k)=(5,-5)$

On comparing both sides, we get

$2k=5$

$k=\dfrac{5}{2}$

So, the scale factor is $k=\dfrac{5}{2}$ .

Substituting $k=\dfrac{5}{2}$ in (i), we get

$(x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)$

Therefore, the required algebraic representation to represents this dilation is $(x,y)\to \left(\dfrac{5}{2}x,\dfrac{5}{2}y\right)$ .

3 0

3 years ago