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Grace [21]
3 years ago
13

Solve the following equation: x(x+3)(x+4)(x+7)+32=0​

Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:

X = -6.372281, -5.561553, -1.438447, -0.627719

Step-by-step explanation:

Use quartic formula.

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What is the equation of the line that passes through the point (5, -6) and has a<br> slope of – 3/5
Inessa [10]

Answer:

The answer is

<h2>y =  -  \frac{6}{5} x - 3 \\</h2>

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1) \\

where

m is the slope

( x1 , y1) is the point

From the question the point is (5, -6) and slope - 3/5

The equation of the line is

y + 6 =  -  \frac{3}{5} (x - 5) \\ y + 6 =  -  \frac{3}{5} x + 3 \\ y =  -  \frac{6}{5} x + 3 - 6

We have the final answer as

y =  -  \frac{6}{5} x - 3 \\

Hope this helps you

3 0
4 years ago
Read 2 more answers
*you get 16 points*PLEASE ANSWER i’m kinda failing so help
sleet_krkn [62]

Answer:

Graph 4

Step-by-step explanation:

Parallel lines have no solution  to the system of equation.  Graph 4 is a set of parallel lines, so they will never intersect.

3 0
3 years ago
Fencing a horse corral carol has 2400 ft of fencing to fence in a rectangular horse corral. (a) find a function that models the
Vanyuwa [196]

Here it is given that the width is x ft and total length of the fence is 2400 ft .

Let the length be y ft

So we have

2(x+y) =2400&#10;\\&#10;x+y=1200&#10;\\&#10;y = 1200 -x

Let A represents area, and area is the product of length and width .

So we get

A = x y

Substituting the value of y, we will get

A = x (1200-x)= 1200x -x^2

Second part

The area is maximum at the vertex, and vertex is

x = - \frac{1200}{2(-1)} = 600 feet

And

y=1200-x = 1200-600 = 600 feet

And that's the required dimensions .

8 0
3 years ago
Determine any data values that are missing from the table, assuming that the data represent a linear function.
Stells [14]

Answer:

Fill in the blank with 14

<em></em>

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

The first step is to calculate the slope of the table

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (1,2)

(x_2,y_2) = (2,6)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{6 - 2}{2 - 1}

m = \frac{4}{1}

m=4

The equation of the table is calculated next as:

y - y_1 = m(x - x_1)

This becomes

y - 2 = 4(x - 1)

y - 2 = 4x - 4

Solve for y

y = 4x - 4+2

y = 4x -2

To fill in the blank;

The value of x is 4

So, substitute 4 for x in y = 4x -2

y = 4 * 4 - 2

y = 16 - 2

y = 14

7 0
3 years ago
What number is 15% of 63
Degger [83]
Take the number (63) and then divide it with 100, this gives you 1%. Then you want to multiply with with 15 in order to get 15%. The answer becomes:

\frac{63}{100}\cdot 15=9.45
6 0
4 years ago
Read 2 more answers
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