1+1 please i need help fast

A pottery can make B bowls and P plates in a week according to the relation

Vilka [71]

Quadratic equations is an equation that has a standard form of a·x² + b·x + c = 0

The correct values are presented as follows;

(a) If the pottery makes 5 bowls a week, the number of plates that can be made is 18 plates

(b) The maximum number bowls produced in a week is 15 Bowls

The reason the above values are correct are as follows:

The given relation between the number of bowls, B, and plates, P, that can be made in a week is presented as follows;

2·B² + 5·B + 25·P = 525

(a) Required: The number of plates that can be made if five (5) bowls are made each week

Solution:

To find out the number of plates that can be made, the given number of bowls (5) is placed in the equation as follows;

When B = 5, we get;

2 × 5² + 5 × 5 + 25·P = 525

25·P = 525 - (2 × 5² + 5 × 5) = 450

P = 450/25 = 18

P = 18

If the pottery makes 5 bowls a week, the number of plates that can be made, P = 18 plates

(b) Required: To find the maximum number of bowls that can be produced each week

Solution:

The given relation is rewritten as follows;

2·B² + 5·B + 25·P = 525

Given that the sum of the bowls B, produced and plates, P, produced is a constant, the maximum number of bowls is produced when the minimum number of plates are made

Therefore, when no plates are made, we get;

P = 0

2·B² + 5·B + 25×0 = 525

2·B² + 5·B = 525

2·B² + 5·B - 525 = 0

Factorizing with a graphing calculator, or by the quadratic formula, gives;

Calculator: (B - 15)·(2·B + 35) = 0

Quadratic formula: B = (-5 ± √(5² - 4 × 2 × (-525)))/(2 × 2)

∴ The maximum number bowls, B = 15 or -35/2

The positive value of B is used, therefore;

The maximum number bowls produced in a week = 15 Bowls

Learn more about quadratic equation here:

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6 0

3 years ago

If you receive 25% off an item costing $22.00, how much money do you save?

Gennadij [26K]

Answer:

well you would pay $16.50 with the discount so you would save $5.50.

Step-by-step explanation:

7 0

3 years ago

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Gabrielle is cutting a triangular sign with a base of 8 inches. The perpendicular distance from the base of the sign to its vert

kkurt [141]

The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

Step-by-step explanation:

The given is,

Gabrielle is cutting a triangular sign

Base of 8 inches

The perpendicular distance from the base of the sign to its vertex is 9 inches

Step:1

Formula for area of triangle is,

Area, $A = \frac{bh}{2}$ .....................................(1)

Where, b - Base of triangle

h - Height of triangle

From given value,

b - 8 inches

h - 9

Equation (1) becomes,

$A = \frac{(8)(9)}{2}$

$=\frac{72}{2}$

= 36

Area of triangle sign, A = 36 square inches

Result:

The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

8 0

3 years ago

Write the ratio in its simplest form using the colon. 24 blue cars out of 48 cars.

Tems11 [23]

Answer:

1:2

Step-by-step explanation:

24 : 48 simplified is 1 : 2

7 0

3 years ago

What is the OUTPUT if the input to the equation y=2x - 7 is x =4?

mariarad [96]

Answer:

the output is y=1

Step-by-step explanation:

8 0

3 years ago

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