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3 years ago

Solve Thais equation 2x=8(4x-5).

Mathematics

2 answers:

shutvik [7]3 years ago

8 0

Answer:

$x = \frac{40}{-30\\}$

Step-by-step explanation:

Lets start by working with our numbers on the right side of the equation.

Begin by using distributive property, turning:

2x = 8(4x - 5) into 2x = 32x - 40

To make things easier, lets subtract 32x on both sides

-30x = 40

Finally, divide by -30 on both sides to get our answered, simplified if necessary:

$x = \frac{40}{-30} = \frac{4}{-3} = -1.33$

Misha Larkins [42]3 years ago

6 0

4/3 in fraction form

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3x + 2y= 12 y = = x – 9 how do i solve this for substitution??

iren2701 [21]

In Point form: (6,-3)

In Equation form: x = 6, y = -3

Step-By-Step:

Solve for the first variable in one of the equations, then subsititute the result into the other equation

4 0

3 years ago

What’s the value of x?

ale4655 [162]

Answer:

x=12

Step-by-step explanation:

What we have here is a secant and tangent. Using this theorem,

Given the segments of a secant segment and a tangent segment which share an endpoint outside of a circle,

The product lengths of the secant segment and external secant segment equals the length of the tangent segment squared.

In other words,

$9(7 + 9) = {x}^{2}$

$9(16) = {x}^{2}$

$144 = {x}^{2}$

$x = 12$

5 0

3 years ago

Terry added 3 and 7 he got the sum of 9 his answer is is not correct described how Terry can find the correct sum

marin [14]

He is not correct because 3+7=10 and not 9

5 0

4 years ago

a farmer has 100m for fence avaibiable, with which he intends to build a pen for his sheep. he intends to create a rectangular p

Reika [66]

The perimeter of the area of the pen the farmer intends to build for his

ship includes the length of the permanent stone wall.

Response:

i) The length and width of the rectangular pen are; x, and $\dfrac{100 - x}{2}$ , therefore;

The area is; $A = \dfrac{1}{2} \cdot x \cdot (100 - x)$

$ii) \hspace{0.5 cm}\dfrac{dA}{dx} = 50 - x$

$\dfrac{d^2A}{dx^2} = -1$

iii) The value of x that makes the area as large as possible is x = 50

<h3>How is the function for the area and the maximum area obtained?</h3>

Given:

The length of fencing the farmer has = 100 m

Part of the area of the pen is a permanent stone wall.

Let x represent the length of the stone wall, we have;

2 × Width = 100 m - x

Therefore;

Width, w, of the rectangular pen, $w = \mathbf{\dfrac{100 - x}{2}}$

Area of a rectangle = Length × Width

Area of the rectangular pen, is therefore;

$A = x \times \dfrac{100 - x}{2} = \underline{\dfrac{1}{2} \cdot x \cdot (100 - x)}$

$ii) \hspace{0.5 cm} \mathbf{\dfrac{dA}{dx}}$ , and $\mathbf{\dfrac{d^2A}{dx^2} }$ are found as follows;

$\dfrac{dA}{dx} = \mathbf{\dfrac{d}{dx} \left( \dfrac{1}{2} \cdot x \cdot (100 - x) \right)} = \underline{50 - x}$

$\dfrac{d^2A}{dx^2} = \mathbf{ \dfrac{d}{dx} \left( 50 - x\right)} = \underline{-1}$

iii) The value of x that makes the area as large as possible is given as follows;

Given that the second derivative, $\dfrac{d^2A}{dx^2} =-1$ , is negative, we have;

At the maximum area, $\dfrac{dA}{dx} = \mathbf{0}$ , which gives;

$\dfrac{dA}{dx} = 50 - x = 0$

x = 50

The value of x that makes the area as large as possible is x = 50

Learn more about the maximum value of a function here:

brainly.com/question/19021959

7 0

2 years ago

Josslyn has nickels and dimes in her pocket. The number of nickels is three more than seven times the number of dimes let d repr

vfiekz [6]

$7d+3$ Explanation

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

re write the expressions

$\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\ \end{gathered}$

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence

$n=7d+3$

therefore , the expression for the number of nickles is

$7d+3$

I hope this helps you

3 0

1 year ago