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3 years ago

How to create a system equation

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Write a system of equations to model the situation. Add the equations to eliminate the y-term and then solve for x. Substitute the value for x into one of the original equations to find y. Check your answer by substituting x = 8 and y = 2 into the original system.

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Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her cus

Phantasy [73]

Answer:

y = -2*x² + 60*x

Step-by-step explanation:

The general form of a quadratic function is:

y = a*x² + b*x + c

We need to determine a ; b ; and c. For that we have three conditions therefore

Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets

12* 36 = 432 $ or y = 432 and

432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c

Second condition selling at 13 $ each T-shirt she sells 34 , then

13*34 = 442

442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c

And the third condition

11*38 = 418

418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c

We have a three equation system

432 = 144*a + 12*b + c (1)

442 = 169*a + 13*b + c (2)

418 = 121*a + 11*b + c (3)

We need to solve it for a, b and c

Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)

24 = 48*a + 2*b

Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )

24 = 48*a + 20 - 50*a

24 - 20 = -2*a

4 = - 2*a

a = - 2 and b = 10 - 25*( -2) b = 60

Finally c is: 432 = 144*a + 12*b + c

432 = 144* ( -2) + 12*60 + c

432 = - 288 + 720 + c

432 = 432 + c

c = 0

The quadratic function is:

y = -2*x² + 60*x

8 0

3 years ago

What is the difference between 89 and 21

Evgen [1.6K]

Here is the answer as shown in the picture:

5 0

3 years ago

Read 2 more answers

What is the exact value of the expression the square root of 294. − the square root of 24. + the square root 54.? Simplify if po

navik [9.2K]

294 can be broken down into 7^2 * 6
so √294 it can be written as 7<span>√6
24 can be broken down to 2^2 * 6
so </span>√24 can be written as 2√6
and 54 can be broken down to 3^3 * 6
so √54 can be written as 3√6
then you just add all these together: 7√6 + 2√6 + 3√6 = 12√6
so your answer is D

6 0

4 years ago

examine the graph below. select the solutions to the graph from the following points. select three that apply.

vova2212 [387]

Answer:

Options (1), (2), (3)

Step-by-step explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

Given line on the graph is passing through two points (-3, 0) and (0, 1).

Slope of this line will be,

m = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{1-0}{0+3}$

= $\frac{1}{3}$

y-intercept of the line 'b' = 1

Equation of the line will be,

y = $\frac{1}{3}x+1$

If the points given in the options satisfy the equation, they will be the solution of the line.

Option (1),

For (3, 2),

2 = $\frac{3}{3}+1$

2 = 2

True.

(3, 2) is the solution.

Option (2)

For (21, 8),

8 = $\frac{21}{3}+1$

8 = 8

True.

(21, 8) is the solution.

Option(3)

For (-15, -4),

-4 = $\frac{-15}{3}+1$

-4 = -4

True.

(-15, -4) is the solution.

Option (4)

For (12, 9)

9 = $\frac{12}{3}+1$

9 = 5

False

(12, 9) is not the solution.

Option (5)

For (-6, 1)

1 = $\frac{-6}{3}+1$

1 = -1

False

(-6, 1) is not the solution.

Therefore, Options (1), (2), (3) are the solutions.

5 0

3 years ago

Can someone pls help

Zinaida [17]

Answer:

a) At what time does Bethan arrive home from school?

The answer would be C) 15:30

b) What distance does Siobhan travel each day when going to school and back?

The answer would be D) 16km

Step-by-step explanation:

7 0

4 years ago