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Komok [63]
3 years ago
10

Can somebody solve this multi-step equation? 4(x-2)=4x

Mathematics
1 answer:
ladessa [460]3 years ago
3 0
Download the aappp called Socratic
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Identify each x-value at which the slope of the tangent line to the function f(x) = 0.2x2 + 5x − 12 belongs to the interval (-1,
Misha Larkins [42]

Answer:

<em>slope of the tangent</em>

<em></em>\frac{d y}{d x} = 0.2(2 x) + 5 (1)<em></em>

<em>The slope of the tangent to the interval (-1 ,1)</em>

<em>m = 4.6 ,5, 5.4</em>

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given function is  f(x) = 0.2 x² + 5 x − 12

Slope of the tangent formula

                        m = \frac{d y}{d x}

Let y =  f(x) = 0.2 x² + 5 x − 12 ...(i)

Differentiating equation(i) with respective to 'x' , we get

\frac{d y}{d x} = 0.2(2 x) + 5 (1) -0

let x=-1

m = \frac{dy}{dx} = 0.2 (2 X -1) +5 = 4.6

let x=0

m = 5

let x=1

m = \frac{dy}{dx} = 0.2 (2 X 1) +5 = 5.4

<u><em>conclusion</em></u>:-

<em>slope of the tangent</em>

<em></em>\frac{d y}{d x} = 0.2(2 x) + 5 (1)<em></em>

<em>The slope of the tangent to the interval (-1 ,1)</em>

<em>m = 4.6 , 5,  5.4</em>

 

7 0
3 years ago
Read 2 more answers
The graph of the equation y=2x+b passes through the point (b, -3). Find b. PLZ SHOW WORK!
Sliva [168]
Substitute in the points. It doesn't matter if they ar pe variables or not, since the variable b is used already in the equation, making it possible to find.

Substitute in the y value for the y in the equation and do the same for the x.

-3=2b+b
-3=3b
-1=b

b is -1.

Hope this helps!
Your fortune is "Stop procrastinating - starting tomorrow."
3 0
3 years ago
Solve for X: 1/3 (2x - 8)=4.
Veseljchak [2.6K]

Answer:

x = 10

Step-by-step explanation:

1/3 (2x - 8)=4.

Multiply each side by 3

1/3 *3(2x - 8)=4.*3

2x-8 = 12

Add 8 to each side

2x-8+8 =12+8

2x = 20

Divide each side by 2

2x/2= 20/2

x = 10

5 0
3 years ago
Read 2 more answers
Find x : x^2 = 25/9 please help
Lana71 [14]

Answer:

Step-by-step explanation:

5 0
3 years ago
8. Cory drove 7 miles South on Kings Drive. He then turned East and went another 24 miles down Hwy 66. At this point he turned o
Ilia_Sergeevich [38]

Answer:

Cory drove 56 miles.

Step-by-step explanation:

In order to solve the present problem, the Pythagorean theorem must be used, as the displacements towards the south and east operate as legs and the diagonal return as hypotenuse, forming a right triangle:

7 ^ 2 + 24 ^ 2 = X ^ 2

49 + 576 = X ^ 2

2√625 = X

25 = X

Thus, since he traveled 7 miles south, 24 miles east, and then 25 miles diagonally toward his house, in total he traveled 56 miles (7 + 24 + 25).

8 0
2 years ago
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