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tiny-mole [99]
3 years ago
14

Which equation is in slope intercept form and represents a line with the slope three through the point (9,-4)

Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

y = 3x - 31

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (9, - 4) into the partial equation

- 4 = 27 + c ⇒ c = - 4 - 27 = - 31

y = 3x - 31 ← equation in slope- intercept form

You might be interested in
Express as a difference: a+b, a+5
Tcecarenko [31]

Answer:

a - (-b), a - (-5)

Step-by-step explanation:

A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.

6 0
3 years ago
A. Complete the table if y varies
serious [3.7K]

Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x

Table 1:

y = k × x

30 = k × 5

30 = 5k

k = 30/5

k = 6

So,

<em>y = 30 </em>

<em>y = 30 k = 6</em>

<em>y = 30 k = 6x = 5</em>

<em>y = 30 k = 6x = 5Equation: y = 6x</em>

y = k × x

y = 10 × 8

y = 80

So,

<em>y = 80 </em>

<em>y = 80 k = 10</em>

<em>y = 80 k = 10x = 8</em>

<em>y = 80 k = 10x = 8Equation: y = 10x</em>

y = 3x

18 = 3x

x = 18/3

x = 6

So,

<em>y = 18</em>

<em>y = 18k = 3</em>

<em>y = 18k = 3x = 6</em>

<em>y = 18k = 3x = 6Equation: y = 3x</em>

y = 2x²

72 = 2x²

x² = 72/2

x² = 36

x = √36

x = 6

So,

<em>y = 72</em>

<em>y = 72k = 2</em>

<em>y = 72k = 2x = 6</em>

<em>y = 72k = 2x = 6Equation: y = 2x²</em>

Table 2:

y = k/x

5 = k/6

5 × 6 = k

30 = k

So,

<em>y = 5</em>

<em>y = 5k = 30</em>

<em>y = 5k = 30x = 6</em>

<em>y = 5k = 30x = 6Equation: y = 30/x</em>

y = k/x

y = 36/4

y = 9

So,

<em>y = 9</em>

<em>y = 9k = 36</em>

<em>y = 9k = 36x = 4</em>

<em>y = 9k = 36x = 4Equation: y = 36/x</em>

y = 60/x

20 = 60/x

20x = 60

x = 60/20

x = 3

So,

<em>y = 20</em>

<em>y = 20k = 60</em>

<em>y = 20k = 60x = 3</em>

<em>y = 20k = 60x = 3Equation: y = 60/x</em>

y = 24/x

y = 24/12

y = 2

So,

<em>y = 2</em>

<em>y = 2k = 24</em>

<em>y = 2k = 24x = 12</em>

<em>y = 2k = 24x = 12Equation: y = 24/x</em>

Read more:

brainly.com/question/472621

3 0
2 years ago
What is the Square route of 4
azamat
The square root of four is two. To find the square root of four you find out what number, when multiplied by itself will get four. In this case, 2×2=4.
8 0
2 years ago
Read 2 more answers
How many complex roots does the polynomial equation have? −3x4−7x+17=0
zimovet [89]

1) There are two complex roots. A is correct.

2) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations. D is correct

3) There are four complex roots. B is correct.

4) C is correct.

5)

Step-by-step explanation:

1) Number of complex root.

We can not factor it completely. Because it's prime equation. We will make the graph of  and then see the x-intercept of the graph.

Because number x-intercepts are the zeros of polynomial. Please see the attachment for graph. In graph we can see it cuts only two points but their highest degree is 4. Maximum possible roots are 4 but only 2 are real and 2 are complex.  

Thus, There are two complex roots.

2) This is cubic polynomial function.

Maximum number of zeros should be 3.

Please see the graph with attachment.

Zeros is a value of x where graph cuts x-axis. In graph we can see graph cuts x-axis at three points.

Thus, The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

3) This is 4th degree polynomial.

Maximum number of zeros should be 4.

Please see the graph of polynomial.

Zeros is a value of x where graph cuts x-axis. In graph we can see doesn't cut x-axis at any points.

Thus, The function has four complex zeros. The graph of the function does not intersects the x-axis at any point.

4) We are given 3 degree polynomial. We need to factor it. First we split middle term and then factor it.

Now we factor quadratic part using quadratic formula

Complete factor of f(x)

Thus,

5) This is cubic polynomial. We need to factor it.

First we make two group and then factor it

Thus, complete factor of f(x) is (x+3)(x+4i)(x-4i)

8 0
3 years ago
Evaluate the expression 3 4/5x-2 1/2 for x =-10
lyudmila [28]

Answer:

The value of given expression for x = - 10  is - 81

Step-by-step explanation:

Given expression as :

3 \frac{4}{5}x - 2 \frac{1}{2}

Or, 3 +  \frac{4}{5}x  - 2 -  \frac{1}{2}

Or,  \frac{19}{5}x -  \frac{5}{2}

or,  \frac{38 x - 25}{5}

Now for  x = - 10

\frac{38\times (- 10)  - 25}{5}

Or, {38\times (- 2)  - 5}

∴ - 76 - 5

Or, - 81

Hence The value of given expression for x = - 10  is - 81  Answer

5 0
3 years ago
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