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1 year ago

Wich graph matches the equation y+3=2(x+3)

Mathematics

2 answers:

never [62]1 year ago

7 0

Answer:

The leftmost graph [with the points (-3,-3) and (0,3)]

Step-by-step explanation:

y+3=2(x+3)

y+3=2x+6

y=2x+3

The y-intercept is 3, meaning that the line passes through the point (0,3), and it's slope is 2, so it travels 2 units up and 1 unit over. Thus the correct graph is the top left graph, with the two points (-3,-3) and (0,3).

Hope this helps! (:

hodyreva [135]1 year ago

6 0

It is 5 because 2+3 is 5

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svetlana [45]

Answer:

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Step-by-step explanation:

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3 years ago

Simplify -4(-8x-8) in distributive property

frosja888 [35]

Answer:

32x+32

Step-by-step explanation:

In the distributive property, you have to multiply the thing outside the parenthesis to each term in the parenthesis. -4*-8x=32x and -4*-8=32, so the answer would be 32x+32

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2 years ago

If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid

Artist 52 [7]

Check the picture below. Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm². Also, recall, the base is a square, thus, length = width = x.

$\bf \textit{volume of a rectangular prism}\\\\
V=lwh\quad 
\begin{cases}
l = length\\
w=width\\
h=height\\
-----\\
w=l=x
\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\
-------------------------------\\\\
\textit{surface area}\\\\
S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h
\\\\\\
\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\
-------------------------------\\\\
V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3$

so.. that'd be the V(x) for such box, now, where is the maximum point at?

$\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2
\\\\\\
\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100
\\\\\\
x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}$

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it. Check the second picture below.

so, the volume will then be at $\bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3$

6 0

2 years ago

Describe fully the graph which has equation x2 + y2 = 9

zmey [24]

Answer:

The graph is a circle with a radius of 3 and a center of (0,0).

Step-by-step explanation:

Graph

3 0

2 years ago

The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 Find the quotient.

xxTIMURxx [149]

Answer:

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7 0

2 years ago