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2 years ago

In form ax+by+c=0

1 answer:

5 0

I don't get you but if you transform the equation to it's standard form, it will be
3x+4y=4
First, Multiply each term by 4:
y(4)=-3x/4(4)+1(4)
4y=-12x/4+4
4y=-3x+4
Now add 3x to both sides of the equation:
4y+3x=-3x+3x+4
3x+4y=0+4
3x+4y=4

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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

Mariana [72]

Answer:

15
42,250

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

4 0

2 years ago

Plllllllease helpppppp

Anna007 [38]

Answer:

Step-by-step explanation:

b/c we know that these triangles both have equal sides... that is given that ab and be are the same length. and that be and cd are parallel , we know that they both are isosceles triangles and that the base angles are the same. The side on ad and ae have equal angles.

so we can make the equation

2a +56 = 180 (b/c we know that around a triangle it's 180°

2 a = 124

a = 62

so ∠ BAE = 62°

3 0

2 years ago

The research of Eich and Metcalf would suggest that if you were really happy when you were learning math, you should be ________

omeli [17]

Your answer is "happy" based on mood-dependent memory research they conducted.

4 0

3 years ago

Read 2 more answers

Slope of (-2,-3) and (6,2)

alexira [117]

$\frac{5}{8}$ is the slope between these two points.

To figure out the slope between two points, we need to find the rise over run, which is the change in the y value over the change in the x value. This becomes:

$\frac{2 - (-3)}{6 - (-2)}$

And simplifies to:
$\frac{5}{8}$ , meaning that the slope between these two points is $\frac{5}{8}$ .

4 0

2 years ago

A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.

timurjin [86]

Answer:

n = -4

Step-by-step explanation:

Notice how in the previous examples they all divide by 2? It is the same case here. So now the question is... "what" divided by "2" is "-2".

Let me show you:

n ÷ 2 = -2

if you know your integer math, you should know that...

-4 ÷2 = -2 (this is the correct equation)

8 0

1 year ago