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Tresset [83]
4 years ago
13

x" alt="2x + x { }^{2} + x" align="absmiddle" class="latex-formula">


​
Mathematics
1 answer:
malfutka [58]4 years ago
7 0

Answer:

\huge \boxed{x(x+3)}

Step-by-step explanation:

2x+x^2 +x

Combine like terms.

x^2 +(2x+x)

x^2 +3x

Factor out x from the expression.

x(x+3)

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Valentine’s day stickers are on sale for $2.00 for 34 stickers. What is the unit price per sticker?
mart [117]

Answer:

$0.059

Step-by-step explanation:

To find the unit price per sticker, divide the price by the amount of stickers.

$2/34 = $0.059

5 0
4 years ago
Read 2 more answers
Solve for the equation below<br><br> 4x^n + x^4n = ?
slavikrds [6]
4x + 6 = -10<span>Simplifying 4x + 6 = -10 Reorder the terms: 6 + 4x = -10 Solving 6 + 4x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -10 + -6 4x = -10 + -6 Combine like terms: -10 + -6 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4</span>
7 0
3 years ago
Derive the equation of the parabola with a focus of (-5,-5) and a directrix of y=7.
adoni [48]

Answer:

y=-\frac{1}{24}(x+5)^2+1

Step-by-step explanation:

The given parabola has its focus at (-5,-5) and the directrix is at: y=7.

The equation of such parabola is given by the formula:

(x-h)^2=-4p(y-k)

The vertex of the parabola is the midpoint of (-5,-5) and (-5,7).

(\frac{-5+-5}{2},\frac{-5+7}{2} )=(-5,1)

The value of p is the distance from the (-5,-5) to (-5,1).

p=|1--5|=6

We substitute the values of the vertex and p into the equation to get;

(x--5)^2=-4(6)(y-1)

(x+5)^2=-24(y-1)

Or

y=-\frac{1}{24}(x+5)^2+1

3 0
3 years ago
Consider the random variables X and Y with joint density function ???? f(x,y)= x+y, 0≤x≤1;0≤y≤1 0, elsewhere. (a) Find the margi
sp2606 [1]

a. The marginal densities

f_X(x)=\displaystyle\int_0^1(x+y)\,\mathrm dy=x+\frac12

and

f_Y(y)=\displaystyle\int_0^1(x+y)\,\mathrm dx=y+\frac12

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

P(X>0.25,Y>0.5)=\displaystyle\int_{1/4}^1\int_{1/2}^1(x+y)\,\mathrm dx\,\mathrm dy=\frac{33}{64}

7 0
3 years ago
What 1/6+(-7/9) equal?
viva [34]
\frac{1}{6} +(- \frac{7}{9} ) \\ \\  \frac{1}{6} -  \frac{7}{9} \\ \\ - \frac{11}{18} \\ \\ Answer: \fbox {-11/18} \ or \ \fbox {-0.6111}
5 0
4 years ago
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