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4 years ago

Write the equation of the graph.

Mathematics

1 answer:

Radda [10]4 years ago

7 0

Answer:

y = (-1/2)(x + 5)

Step-by-step explanation:

According to this graph, the line passes through the points (-5, 0) and (1, -3).

As we move from (-5, 0) to (1, -3), x increases by 6 and y decreases by 3. Thus, the slope, m, is m = rise / run = -3/6, or m = -1/2.

Let's apply the point-slope formula and involve the point (-5, 0):

y - 0 = (-1/2)(x + 5), or

y = (-1/2)(x + 5).

Of course this could be written in other forms:

Performing the indicated multiplication yields y = (-1/2)x - 5/2, which is the slope-intercept form.

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The cost of 250 ft of cable is 2950 what would 40 ft cost

kotegsom [21]

Use ratio and proportion:

$29.50 is to 250 ft. as how much is to 40 ft.

29.5 / 250 = x / 40

x = 40(29.5) / 250

x = 1180 / 250

x = 4.72

40 ft. would cost $4.72

6 0

4 years ago

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Can someone help me with this please

Alex17521 [72]

A) 2/6,3/9,4/12
B) 2/8,3/12,4/16
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3 years ago

Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2 comma 0

SVETLANKA909090 [29]

Answer:

The volume of the tetrahedron is:

$\frac{50}{3}=16.667$

Step-by-step explanation:

The volume of the tetrahedron is given by the intersection of the planes x = 0, y = 0, z = 0 and the plane formed by the three points given.

The equation of the plane formed by the three points is:

Points: (2,0,0);(0,5,0);(0,0,4)

$\pi :\frac{x}{2} +\frac{y}{5} +\frac{z}{4} =1$

It can also be expressed as:

$10x + 4y+5z=20$

We have to calculate the triple integral, therefore we must define the domain:

The values of x are given by:

0≤x≤2

We will integrate the values of y between the y = 0 axis and the line formed when z = 0:

z=0 ⇒ 10x + 4y=2 ⇒ $y=\frac{20-10x}{4} =$

$0\leq y \leq 5-\frac{5}{2}x$

We will integrate the values of z between the plane z = 0 and the plane 10x + 4y+5z=20

10x + 4y+5z=20 ⇒ $z=\frac{20-10x-4y}{5} =4-2x-\frac{4}{5}y$

$0\leq z \leq 4-2x-\frac{4}{5}y$

The volume of the tetrahedron is:

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \ \ \ \int\limits^{4-2x-\frac{4}{5}y }_{0} {z} \, dz\, dy \,dx$

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \frac{z^2}{2}|^{4-2x-\frac{4}{5}y}_0\, dy \,dx$

$\frac{z^2}{2}|^{z=4-2x-\frac{4}{5}y}_{z=0}=\frac{5}{25}(5x+2(y-5))^2$

$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} {\frac{5}{25}(5x+2(y-5))^2}\, dy \,dx$

$\int\limits^{2}_{0} {-\frac{25}{6}(x-2)^3} dx=-\frac{25}{24} (x-2)^4|^{2}_{0}=\frac{50}{3}$

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4 years ago

A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult populat

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Answer:

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Step-by-step explanation:

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3 years ago

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SashulF [63]

Answer:

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