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rodikova [14]
3 years ago
10

7/4x^2 -2 = - 0.05x + 4

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

x1=\frac{-2-2\sqrt{29401} }{245}  x2=\frac{-2+2\sqrt{29401} }{245}

Step-by-step explanation:

Step One: Convert

49/16x^2-2=-0.05x+4

Step Two: Multiply Both Sides by 80

245x^2-160=-4x+320

Step Three: Move everything to the left

245x^2+4x-480=0

Final Step: Quadratic Formula

x1=\frac{-2-2\sqrt{29401} }{245}  x2=\frac{-2+2\sqrt{29401} }{245}

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Distribute and combine like terms. Please show all of your work.<br><br> -5(3x + 7) - 4(x - 4) + 11
Varvara68 [4.7K]

For this case we have the following expression:

-5 (3x + 7) -4 (x-4) +11

For simplicity we follow the steps:

We apply distributive property to the terms within the parenthesis, bearing in mind that:

- * + = -\\- * - = +\\-15x-35-4x + 16 + 11 =

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.

-15x-4x-35 + 16 + 11 =\\-19x-8

ANswer:

-19x-8

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3 years ago
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Nuetrik [128]

Answer:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

Step-by-step explanation:

 For this exercise you need to know that the slope of any horizontal line is zero (m=0)

The slope of a line can be found with the following formula:

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

You can observe in the graph of the function  g(x)  given in the exercise, that this is an horizontal line.  Then,  you can conclude that its slope is:

m=0

The steps to find the slope of the function f(x) shown in the table attached, are the following:

- Choose two points, from the table:

(0,3) and (4,-1)

- You can say that:

y_2=-1\\y_1=3\\\\x_2=4\\x_1=0

- Substitute values into the formula m=\frac{y_2-y_1}{x_2-x_1}:

m=\frac{-1-3}{4-0}

- Finally, evaluating, you get:

m=\frac{-4}{4}\\\\m=-1

Therefore:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

8 0
3 years ago
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RUDIKE [14]

Answer:

B. 1/9

Step-by-step explanation:

The positive square root of "x^2 - 4x + 4" is "x - 2". That value is already given to you, 1/3. Just square 1/3 to get 1/9.

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Answer:

B) Rotation

Step-by-step explanation:

The arrows at the end of each line imply a line, not a line segment. Since the they both pass through the origin, they rotate about the origin, hence B) Rotation.

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valentina_108 [34]

Step-by-step explanation:

<h2>2x-4x^(5/6×1/4)</h2><h2>-2x ^5/12ans</h2>

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