Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form?

Answer:

[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]

Step-by-step explanation:

Use:

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]5^4\cdot5^x=5^{4+x}[/tex]

The selling price of the article including VAT will be 1000.

The cost at which an article is sold is known as the selling price.

Let the market price will be x

Given data;

Discount=20 %

The amount of the discount is;

[tex]\rm Discount = x- x \times \frac{20}{100} =\frac{80x}{100}[/tex]

Applied tax is;

[tex]\rm \frac{80x}{100} +\frac{80x}{100} \times \frac{15}{100} =904 \\\\ \frac{8000x+1040 x}{10000} =904 \\\\ 9040 x = 904 \times 10000 \\\\\ x=\frac{904 \times 10000}{9040} \\\\ x=1000[/tex]

Hence, the selling price of the article including VAT will be 1000.

To learn more about the selling price refer;

https://brainly.com/question/27796445

#SPJ1

The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.

Let the function will be

f: X → Y

Then the inverse function will be

f⁻¹: Y → X

The function is given below.

g(x) = (2x – 3) / 4

Then the inverse function of g(x) will be

g⁻¹(x) = (4x + 3) / 2

Then the value of the inverse function, at x = -3, will be

g⁻¹(-3) = [4(-3) + 3] / 2

g⁻¹(-3) = -4.5

Learn more about inverse function here:

https://brainly.com/question/19425567

$SPJ1

The Standard form of the equation of circle is (x+21)² + (y+19)² = 849

To transform general form to a standard form, you can use completing the square method or you can convert this equation

x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

Here, Given: x² + y² + 42x + 38y − 47 = 0

Required: Find the values of h, k, and r using this formula

x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0

On comparing we get,

-2h = 42

  h = 21

-2k = 38

 k = 19

-47 = h² + k² - r²

-47 = 21² + 19² - r²

   r² = 849

  r = √849

Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849

Learn more about Circle from:

https://brainly.com/question/11833983

#SPJ1

[tex] \: \huge \underline \mathbb{ \green{Answer}} \\ \\ \: \: \tt \boxed{\blue{d. \: \: an \: \: interval \: \: estimate}}[/tex]

Answer:

x-2y/x

Step-by-step explanation:

x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x

The solution to the system of equation are x=2, y=0, z=6

System of equations are equations that contains unknown variables.

Given the equations

3x+y+2z=8

8y+6z=36

12y+2z=12

From equation 2 and 3

8y+6z=36 * 1

12y+2z=12 * 3

______________

8y+6z=36

36y+6z= 36

Subtract

8y - 36y = 36 - 36

-28y =0

y = 0

Substitute y = 0 into equation 2

8(0)+6z=36

6z = 36

z = 6

From equation 1

3x+y+2z =8

3x + 0 + 2(6) = 8

3x = 8 - 12

3x = 6

x = 2

Hence the solution to the system of equation are x=2, y=0, z=6

Learn more on system of equation here: https://brainly.com/question/14323743

#SPJ1

Answer:

C. Ф = 4 radians

Step-by-step explanation:

Given,

Radius of the Circle (r) = 3cm

Length of the Arc (S) = 12cm

In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.

Therefore, S = r*Ф

12 = 3*Ф

Hence, Ф = 4 radians

Read more at below link:

https://brainly.com/question/16878090

#SPJ10

The graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3

The equation of the line will be:

y = mx + b

In this case, we can observe that both lines have the same y intercept and that the lines are solid.

Hence, graph that represents the system of inequalities will be y ≤ −2x + 3; y ≤ x + 3. The graph is attached.

When the coordinate grid shows points A through, the point that is a solution to the system of inequalities is negative 6 point G at negative 3, negative 10 point H at negative 4.

Finally, the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 is the graph of two intersecting lines where both lines are solid.

One line of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.

Learn more about graphs on:

brainly.com/question/19040584

#SPJ1

Answer: x+y=23, 3x+2y = 55 x + y = 55, 3x + 2y = 55 x+y=23, 2x+3y= 55 x+y=55, 2x+3y =23

Step-by-step explanation: The question said the sum is x+y so if the sum is 55, x+y=55

The matrix elements are nothing more than the matrix entries. The correct option is B.

The matrix elements are nothing more than the matrix entries. They can be integers, variables, mathematical formulas, or any other type of character included within the matrix.

The value of a₁₄ is the value of the element of the given matrix, where 1 represents the row and 4 represents the column. Therefore, the value of a₁₄ is the element of the first row and the fourth column, which means the value of a₁₄ is 5.

Hence, the correct option is B.

Learn more about the Element of a Matrix:

https://brainly.com/question/12567347

#SPJ1

A quadrilateral in which opposite sides are parallel is called a parallelogram. The measure of the ∠GFH is 16°.

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram and a rhombus opposite sides are parallel, therefore, the sides that are parallel are,

AB║DC║ED║FG

Since the sides are parallel,

∠ABC = ∠FGH = 126°

Also, ∠AHC and ∠GHF lie on the same line, therefore,

∠AHC + ∠GHF = 180°

∠GHF = 180° - 142° = 38°

Now, in ΔGHF

∠GHF + ∠HFG + ∠GFH = 180°

∠GFH = 180° - 126° - 38°

∠GFH = 16°

Hence, the measure of the ∠GFH is 16°.

Learn more about Parallelogram:

https://brainly.com/question/1563728

#SPJ1

Answer:

x=9

if

a^b = a^c

then b=c

so in this case x=9

Answer:

b = 0 and b = 4

Step-by-step explanation:

[tex]\frac{5}{3b^3-2b^2-5}[/tex] = [tex]\frac{2}{b^3-2}[/tex] ( cross- multiply )

2(3b³ - 2b² - 5) = 5(b³ - 2) ← distribute parenthesis on both sides

6b³ - 4b² - 10 = 5b³ - 10 ( subtract 5b³ from both sides )

b³ - 4b² - 10 = - 10 ( add 10 to both sides )

b³ - 4b² = 0 ← factor out b² from each term on the left side

b²(b - 4) = 0

equate each factor to zero and solve for b

b² = 0 ⇒ b = 0

b - 4 = 0 ⇒ b = 4

Answer:

3497.47 feet

I think it's the answer because when you look where I've drawn...that's where the angle of depression is and 6600 is the hypotenuse, so you use the sine method where you have opposite over hypotenuse

[tex] \sin(32 = opposite \6600) [/tex]

and you'll get your answer as 3497.47

Answer:

87 = <1

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

124 = 37 + <1

Subtract 37 from each side

124 -37 = <1

87 = <1

The scale factor of the enlargement will be 3. Then the center of enlargement is marked in the diagram.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Shape A is enlarged to give shape B.

Then the scale factor of the enlargement will be

⇒ 3 / 1

Then the center of enlargement is marked in the diagram.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ1

Answer:

29

Step-by-step explanation:

87×156+29=13601

First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601

Answer:

Step-by-step explanation:

What least number must be subtracted from 13601 to get a number exactly divisible by 87?

13601 : 87 = 156 and remainder 29

so your answer is 29

---------------

check

(13601 - 29) : 87 =

13572 : 87 = 156

Answer:

6x - 5 = (-9x) - 9

6x + 9x = (-9) + 5

15x = (-4)

x = (-4/15)

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = -\cfrac{4}{15} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 6x - 5 = - 9x - 9[/tex]

[ add 9x and 5 on both sides ]

[tex]\qquad \tt \rightarrow \: 6x - 5 + 9x + 5 = - 9x - 9 + 9x + 5[/tex]

[tex]\qquad \tt \rightarrow \: 6x + 9x = - 9 + 5[/tex]

[tex]\qquad \tt \rightarrow \: 15x = - 4[/tex]

[tex]\qquad \tt \rightarrow \: x = - \cfrac{4}{15} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Solve for x coordinate of solution

Check given value in options and approximate them

So x coordinate is -13/4

Option C is correct as no one contains -13/4 except C

Answer:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

Step-by-step explanation:

The solution to a system of graphed equations is the point of intersection.

From inspection of the graph:

As the x-coordinate is negative, this eliminates answer options A and B.

Assessing the x-coordinate of answer options C and D:

⇒ C.   -13/4 = -3.25

⇒ D.    -5/2 = -2.5

Therefore, as the x-coordinate of the point of intersection is between -4 and -3, the approximate solution of the system of equations is:

[tex]\sf C. \quad \left(-\dfrac{13}{4},\dfrac{5}{2}\right)[/tex]

Answer:

I think

each division is subtracted like

8 - 4 = 4

so that why it's written as

1/4 ...........

1/8 1/8 ..........

Step-by-step explanation:

if understand I need brainlist

if not then also

thanks

Answer:

x = [tex]\frac{1}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

(2x - 1)(3x + 4) = 0

equate each factor to zero and solve for x

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = [tex]\frac{1}{2}[/tex]

and

3x + 4 = 0 ( subtract 4 from both sides )

3x = - 4 ( divide both sides by 3 )

x = - [tex]\frac{4}{3}[/tex]

So

And

Answer:

Good idea for thanks......

Answer:

-7,-6,-5 are the values when x=0,1,2

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

y =x - 7

Substitute x = 0 and find the y-value

       y = 0 - 7

      y = -7

(0,-7)

Substitute x = 1,

    y = 1 - 7

    y = - 6

(1,-6)

Substitute x = 2,

        y = 2 - 7

       y = -5

(2,-5)

Answer:

387

Step-by-step explanation:

6(4)³ + 3(1)²

6(64) + 3(1)

384 + 3

= 387

2.5 miles/hour

Simply 15/6

Answer:

Colin walks an average speed of 2.5 miles per hour.

Step-by-step explanation:

15/6= 5 miles/2 hours

2.5

Answer:

-8 or -1

Step-by-step explanation:

x*2+9x+8=0

(x+8)(x+1)=0

x+8=0 or x+1=0

x= -8 or x= -1