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4 years ago

Expand and simplify (x+2)(x+3)

2 answers:

6 0

$Use\ (a+b)(c+d)=ac+ad+bc+bd\\------------------------\\(x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)\\\\=x^2+3x+2x+6=\huge\boxed{x^2+5x+6}$

julia-pushkina [17]4 years ago

4 0

(x+2)(x+3)= x (x + 3) + 2(x+3)
= x ^2 +3x + 2x + 6
= x^2 + 5x +6 ...

Hope it helps !!!

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Abby Matthew store manager for Sears does not know how to price a refrigerator that cost $900 Abby knows her boss wants a 40% ma

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Answer:

The 40% marked up price of refrigerator is $1260.

Step-by-step explanation:

The cost price of the refrigerator = $900

Now, the mark up should be 40%

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40 % of $900 = $\frac{40}{100} \times 900 = 360$

or, 40 % mark up = $360

Now, the Marked up cost = Cost Price + Marked up Price

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.

ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y = 1/4x - 7

Step-by-step explanation:

Given the points

(-4.-8)

(-8, -9)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)$

$m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}$

$m=\frac{1}{4}$

We know that the slope-intercept of line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y = 1/4x + (-7)

y = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y = 1/4x - 7

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3 years ago

The general solution of 2 y ln(x)y' = (y^2 + 4)/x is

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Replace $y'$ with $\dfrac{\mathrm dy}{\mathrm dx}$ to see that this ODE is separable:

$2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}$

Integrate both sides; on the left, set $u=y^2+4$ so that $\mathrm du=2y\,\mathrm dy$ ; on the right, set $v=\ln x$ so that $\mathrm dv=\dfrac{\mathrm dx}x$ . Then

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$\implies\ln(y^2+4)=\ln|\ln x|+C$

$\implies y^2+4=e^{\ln|\ln x|+C}$

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3 years ago

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This implies that the experiment is the survey of teenagers for a new soft drink

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Using the question as a guide, a survey could be:

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<h3>Importance of probability</h3>

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