Consider the equations:
y=|x-1| and y=3x+2
What is the approximate solution of this system of equations?

Answer:

R6.775

Step-by-step explanation:

Given that :

The transaction fee charged is calculated using the relation :

Transaction fee = R2.50 + 0.95%(amount deposited)

If amount to deposit is R450 ; the bank charge will be:

R2.50 + 0.95%(Amount deposited)

R2.50 + 0.0095(450)

R2.50 + R4.275

R(2.50 + 4.275)

R6.775

Answer:

(Opt.B) 18

Step-by-step explanation:

4x = 2y - x (vertically opposite angles are equal)

4x + x = 2y

5x = 2y ----- (1)

4x + 2y + x = 180 (Linear pair angles)

5x + 2y = 180

From (1) we can understand that, the value of 5x and 2y is the same. So,

5x + 5x = 180

10x = 180

x = 180/10

x = 18

Just completing,

Putting the value of x in (1)

5*18 = 2y

90 = 2y

90/2 = y

45 = y

Hope you understand

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Answer:

slope = - 3

Step-by-step explanation:

[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_ 1}[/tex]    ,    [tex][ \ (x_ 1 , y_ 1 ) = ( -3 , 3 ) , \ (x_2 , y _ 2 ) = ( - 5 , 9 ) \ ][/tex]

[tex]slope = \frac{9 - 3}{-4 - ( -3 )} = \frac{6}{-5 + 3} = \frac{6}{-2} = -3[/tex]

Answer:

[tex]y=a(x+2)^{2} -3\\-2=a(-5+2)^{2} -3\\\frac{-2+3}{9} =a\\a=\frac{1}{9} \\[/tex]

Step-by-step explanation:

Answer:

[tex]P =5x-260[/tex]

Step-by-step explanation:

Given

[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue

[tex]C = 3x^2 - x + 200[/tex] --- Cost

Required

The expression for profit (P)

This is calculated as:

[tex]P =R - C[/tex]

So, we have:

[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]

Open bracket

[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]

Collect like terms

[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]

[tex]P =5x-260[/tex]

If the profit is the difference between the revenue and the cost, 5x – 260  expression represents the profit. Correct option is 3.

The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:

Profit (P) = Revenue - Cost

Among the given options:

1. 3x - 260

2. 3x + 140

3. 5x - 260

4. 5x + 140

We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.

Option 3, 5x - 260, fits this pattern:

- Revenue: 5x

- Cost: 260

When we subtract the cost from the revenue:

Profit (P) = Revenue - Cost = 5x - 260

So, option 3, 5x - 260, is the expression that represents the profit.

To know more about profit:

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Complete question is:

If the profit is the difference between the revenue and the cost, what expression represents the profit?

1. 3x – 260

2. 3x + 140

3. 5x – 260

4. 5x + 140

Answer:

Evaluated, you get 4x^4

Step-by-step explanation:

Differentiated, you get 16x^3

It all depends on what you're looking for, really

Answer:

x = -2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

Answer:

C

Step-by-step explanation:

Given

24x² - 22x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 5 = 120 and sum = - 22

The factors are - 12 and - 10

Use these factors to split the x- term

24x² - 12x - 10x + 5 ( factor the first/second and third/fourth terms )

= 12x(2x - 1) + 5(2x - 1)  ← factor out (2x - 1) from each term

= (12x - 5)(2x - 1) ← in factored form → C

Answer:

x = - 12

Step-by-step explanation:

- 10x + 1 + 7x = 37

- 3x + 1 = 37

- 3x + 1 - 1 = 37 - 1

- 3x = 36

- 3x ÷ - 3 = 36 ÷ - 3

x = - 12

Answer: x = -12

Step-by-step explanation: first you combine like terms/simplify the equation: -10x + 1 + 7x = 37 turns into -3x + 1 = 37.

then subtract 1 from both sides: -3x + 1 = 37 then -3x + 1 - 1 = 37 - 1 then -3x = 37 - 1 then -3x = 36.

then divide both sides of the equation by -3 and then you're done

Answer:

can you make it a bit clear to understan?

Answer:

x = 7

Step-by-step explanation:

If the triangles are similar, the side length ratios have to be the same

49                 63

------------- = ---------

42                  8x-2

Using cross products

49 ( 8x-2) =42 (63)

Divide each side by 49

8x-2  = 42*63/49

8x -2 = 54

Add 2 to each side

8x = 56

Divide b 8

8x/8 = 56/8

x = 7

Answer:

480,700 sets (first choice)

Step-by-step explanation:

If all 25 questions are different,

When order of selection counts:

P(25,7)

= 25!/(25-7)!

= 15511210043330985984000000/6402373705728000

= 2422728000

When order of selection does not count count:

C(25,7)

=25!/(7!*(25-7)!)

=15511210043330985984000000/(6402373705728000*5040)

= 480,700

Hope this helps, have a nice day.

Answer:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

Step-by-step explanation:

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Answers:

Blank 1 = p and r

Blank 2 = corresponding angles converse

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

Explanation:

Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.

If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse

Answer:

Volume of cube = 216

Dimesnions of cuboid = 4 * 6 * x

x = 216 / 24x

x = 9cm

Step-by-step explanation:

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Step-by-step is this the answer you wanted thanks for correcting me

Answer:

Step-by-step explanation:

[tex]y = \frac{2}{3}x - 4\\\\when \ y = 0, \ x = \frac{4 \times 3}{2} = 6\\\\When \ x = 0 , \ y = - 4[/tex]

Answer:

20/3pi

Step-by-step explanation:

[tex] \frac{75}{360} \times 2\pi \times 16 \\ = \frac{2400}{360} \pi\\ = \frac{20}{3} \pi\\ = 20.94 \: cm[/tex]

Please give brainliest if it helps

Answer:

x = 7

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

BD = AC , that is

7x - 18 = 5x - 4 ( subtract 5x from both sides )

2x - 18 = - 4 ( add 18 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

Answer:

Step-by-step explanation:

PQRS is a parallelogram with QR = 6 cm, QT = 3 cm and ∠PSR = 115°.

a). By the property of a parallelogram,

   "Diagonals of a parallelogram bisect each other"

   QT = TS

   QS = 2(QT)

         = 2(3)

         = 6 cm

b). "Adjacent angles of a parallelogram are supplementary"

     m∠PSR + m∠SRQ = 180°

     115° + m∠SRQ = 180°

     m∠SRQ = 65°

c). Since, SQ = SR = 6 cm

    m∠QSR = m∠SRQ [Opposite angles of the equal sides of an isosceles triangle]

    m∠QSR = 65°

    By applying triangle sum theorem in ΔQSR,

    m∠SQR + m∠QRS + m∠QSR = 180°

    m∠SQR + 65° + 65° = 180°

    m∠SQR = 50°

Answer:

c i think

Step-by-step explanation:

Answer:

It will be 1020

Step-by-step explanation:

2 extra large = 85 ounces

multiply by 6 to get to 12 cups

85*12=1020

Answer:

[tex]g(x) = |x+4|+2[/tex]