simultaneous equation

Answer:

The answer is below

Step-by-step explanation:

Given the constraints:

x + 3y≤ 0; x - y ≥ 0 and 3x - 7y ≤ 16.

We have to first plot the constraints using the geogebra online graphing tool. Plotting the constraints gives the solution as:

A(0, 0), B(3, -1) and C(-4, -4).

Next using the optimization equation: z = -x + 5y

At point A(0, 0); z = -0 + 5(0) = 0

At point B(3, -1); z = -3 + 5(-1) = -8

At point C(-4, -4); z = -4 + 5(-4) = -24

Hence the maximum value of Z is 0 and the minimum value of Z is -24.

[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]

I hope I helped you ^_^

Answer:

< EFG

< GFE

Step-by-step explanation:

The letter for the vertex must be in the middle

< EFG

< GFE

<F

Answer:

7000

Step-by-step explanation:

70/100 * marked price = original price - 100

marked price = 140/100* og price

70/100 * 140/100 * og price = original price - 100

49/50 * og price = orignal price - 100

1/50 of original price = 100

orignal price = 5000

marked price = 140/100 * 5000 = 7000

Answer:

a,55

b,118

c,122

d,50

Step-by-step explanation:

sum of exterior angles of a polygon ends up to 360°. add the numbers given in each case and subtract from 360° to get the missing angle.

Answer:

7 - 2c < - 30

*To do this equation you would have to start with -30, because of "less than"

Hope this helps.

Incomplete question

Let the area be = 100 square meter

Cost of plaster = Rs 315 per square meter

No of walls = 4

Total area = 400 square meter

Then cost = 400 × 315

= Rs 1,26,000

Answered by Gauthmath must click thanks and mark brainliest

Answer:

875.018

Step-by-step explanation:

To solve this, we must plug in 6 for our t value. So, we have the equation:

-4.982 - 20(6) + 1000

Following the rules of PEMDAS, we have:

-4.982 - 120 + 1000 = 875.018

Answer:  Second row

The y intercept is 2

=============================================================

Explanation:

The y intercept always occurs when x = 0. Visually, the y intercept is the location where the graph crosses the y axis.

In the table, we see that x = 0 pairs up with y = f(x) = 2 in the second row. So we can say that the y intercept is 2.

Side note: the x intercept is 1 since it occurs when y = 0.

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Answer:

please the question is not done

Step-by-step explanation:

please don't take this the wrong way

Answer:

x≠-7

Step-by-step explanation:

The function will be undefined when the denominator is zero

x+7≠ 0

x≠-7

9514 1404 393

Answer:

  (a) All three pyramids have the same volume

Step-by-step explanation:

The triangular base has an area of ...

  B = 1/2bh . . . . where b is the base of the triangle and h is its height.

The volume of the pyramid is ...

  V = 1/3BH . . . . where B is the area of the base, and H is the height of the pyramid.

Combining these equations gives ...

   V = 1/3(1/2bh)H = 1/6bhH

__

Pyramid 1 volume

  V1 = 1/6(12 m)(2 m)(10 m) = 40 m³

Pyramid 2 volume

  V2 = 1/6(6 m)(4 m)(10 m) = 40 m³

Pyramid 3 volume

  V3 = 1/6(12 m)(4 m)(5 m) = 40 m³

All three pyramids have the same volume.

Answer:

Step-by-step explanation:

1). WXYZ is a rectangle,

  Properties of a rectangle,

  i). Opposite sides are equal and parallel.

  ii). All interior angles measure 90°.

  iii). Diagonals are equal in measure.

a). WY = ZX = 30

 Therefore, ZT = [tex]\frac{1}{2}(ZX)[/tex]

                    [tex]ZT=15[/tex]

b). WY = ZX = 45

c). Since, WY = ZX,

    (4b - 16) = (3b + 5)

    4b - 3b = 16 + 5

     b = 21

2). GOAT is a rhombus and m∠OGA = 35°,

    a). m∠TGA = m∠OGA = 35°

    b). m∠GXO = 90°

    c). m∠GXT = 90°

    d). Since adjacent angles of a rhombus are supplementary,

         m∠OGT + m∠GTA = 180°

         70° + m∠GTA = 180°

         m∠GTA = 110°

         m∠GTO = [tex]\frac{1}{2}(m\angle GTA)[/tex]

                        = [tex]\frac{1}{2}(110^{\circ})[/tex]

                        = 55°

     e). Since, opposite angles of a rhombus are equal,

          m∠OGT = m∠OAT = 70°

     f). m∠GOA = m∠GTA = 110°

Answer:

=22tcm

Step-by-step explanation:

Perimeter of a circle =πD

But π=t

hence perimeter; = 22tcm

where t=π

Answer:

Step-by-step explanation:

The central angle is twice as big as any angle sharing the endpoints  with the central angle of a chord where the angle is not below the smaller sector.

2*62 = x

x = 124

Answer:

td/(r+e) = a

Step-by-step explanation:

t           a

----  = -----

r+e      d

Using cross products

t*d = a(r+e)

Divide each side by (r+e)

td/(r+e) = a

Answer:

A. 7

Step-by-step explanation:

3m + 21 = 6m

Move variables to one side to get:

3m + 21 = 6m

-3m         -3m

21 = 3m

Then isolate variable by dividing by 3

21/3 = 3m/3

m = 7

Choice A is the correct answer

Answer:

Does the answer help you?

Answer:

First even = 24

Second even = 26

Step-by-step explanation:

let x be the first even integer.

let 2x be the second even integer.

[tex]x + 2x = 50[/tex]

[tex]x + x = 50 - 2 [/tex]

[tex]2x =48[/tex]

[tex] x = 24[/tex]

Therefore, The first even number is 24.

[tex]second \: \: number= 50 - x \\ = 50-24 \\ = 26[/tex]

Therefore, The second even number is 26.

There are infinitely many rational no.s between two no.s

one rational number between 1 and 2 is

11/10

Answer:

7:8

Step-by-step explanation:

Answer:

B; (2,-4)

Step-by-step explanation:

The general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

So from the question, when we look at the given equation, its slope is -1/2

mathematically, when two lines are perpendicular, the product of their slopes is -1

thus;

m1 * m2 = -1

m2 * -1/2 = -1

-m2 = -2

m2 = 2

The general equation form is;

y-y1 = m(x-x1)

where (x1,y1) = (4,0)

y-0 = 2(x-4)

y = 2x - 8

So, now we look at the point that will work for this equation

For the line that will work, if we substitute its x-value, we get the y-value

Let us take a look at option B

y = 2(2) -8 = 4-8 = -4

we can see that (2,-4) works

Answer:

24°

Step-by-step explanation:

cos ? = 41/45

? = arccos 41/45

? = 24

Answered by GAUTHMATH

Answer:

no

Step-by-step explanation:

the square root of 2 is not rational

selling price: 1,1x

since x 10% more than the full value (100%)

so, 110/100 . x = 1,1x

The expression which represents the selling price of the pen is

y = 1.1x  or [tex]selling\ price = 1.1\ cost\ price[/tex].

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

A profit occurs when you sell something. for more than it cost.

Let x represents the cost price of the pens and y represents the selling price.

According to the question.

Judd sell the pens for 10% profit.

Now,

Profit = 10% of cost price

[tex]\implies profit = \frac{10}{100} \times x \\\implies Profit = 0.1x[/tex]

Therefore, the expression for the selling price of the pen is given by

[tex]y = cost\ price\ of\ pens + profit\\\implies y = x + 0.1x \\\implies y = 1.1x[/tex]

Hence, the expression which represents the selling price of the pen is

y = 1.1x  or [tex]selling\ price = 1.1\ cost\ price[/tex].

Find out more information about expression and profit here:

https://brainly.com/question/3927668

#SPJ2

Answer: [tex]x\in [53,\infty)[/tex]

Step-by-step explanation:

Given

Ade doubles her number and subtract 5 from it. The result cannot be less than 100

Suppose the number is [tex]x[/tex]

According to the question

[tex]\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)[/tex]