Prove that A - B = A-(A n B) using a Venn diagram

A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. Find a quadratic func

UNO [17]

Let x refers to the Month numbers
And y refers to Number of births

There is 5 steps to find the quadratic function that models the data.

First step ⇒ Plot the data pairs (x, y) in a coordinate plane.
 which are the blue circles in the attached figure

Second step ⇒ Draw the parabola you think best fits the data.
 Which is the red function in the attached figure.

Third step ⇒ Estimate the coordinates of three points on the
 parabola, which are (2, 108), (4, 68), and (6, 75).
 which are the black squares in the attached figure

Fourth step ⇒ Substitute the coordinates of the points into the model 
 y = ax2 + bx + c
 to obtain a system of three linear equations.

 4a + 2 b + c = 108 ---------(1)
 16a + 4 b + c = 68 ---------(2)
36a + 6 b + c = 75 ---------(3)

Fifth step ⇒ Solve the linear system.
 By using the calculator
 a = 5.875 , b = -55.25 , c = 195

So, the quadratic model for the data is ⇒ y = 5.875 x²- 55.25 x + 195
============================================
To predict the number of births for month 8
substitute with x = 8 ⇒ y = 5.875 * 8²- 55.25 * 8 + 195 = 129

3 0

3 years ago

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X - 2 + 3 =(-2) how do you solve this?

Ket [755]

Answer:

x = -3

Step-by-step explanation:

$x-2+3=-2\\x+1=-2\\x=-3$

7 0

3 years ago

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When given an inequality, how do you know whether to shade to the left or right?

lapo4ka [179]

Answer: There are three steps:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).

Step-by-step explanation: I THINK THATS IS NA CORRECT ANSWER

8 0

2 years ago

1.Afla numarul abc,stiind ca abc:15=16 rest 1

mixas84 [53]

Step-by-step explanation:

Ques 1)

abc: 15 = 16 rest 1

that means that if abc is divided by 15 than we get the quotient as 16 and remainder as 1.

Hence using : dividend=divisor×quotient+remainder we have:

abc=15×16+1

Hence, the value of abc is 241.

Ques 2)

a)

486: x = 17

i.e. $\dfrac{486}{x}=17$

⇒ x=486×17=8262

b)

y: 18 = 35 rest 1

that means when y is divided by 18 we get the quotient as 35 and remainder as 1.

Hence using : dividend=divisor×quotient+remainder we have:

y=35×18+1=631

y=631

c)

730: z = 27 rest 1

that means when 730 is divided by z we get the quotient as 27 and remainder as 1.

Hence using : dividend=divisor×quotient+remainder we have:

730=27z+1

27z=730-1

27z=729

z=27 (dividing both side by 27)

Ques 3)

Let'a' and 'b' denote the two natural numbers such that a is greater than 'b'.

a-b=70----(1)

also when a is divided by b then we get the quotient as 8 and some remainder.

Let the remainder be 'r'.

this means a=8b+r

let us consider r=0.

a=8b

hence from (1) we have

7b=70

b=10 (on dividing both side by 7)

hence a=80.

when r=1,2,3,4,5,6

we do not get a natural number as value for a and b.

also when r=7 we get the value of b=9 and a=79

After r>7 we get the value of b<r such a condition is not possible.

6 0

3 years ago

Where can I find the answers for intermediate Algebra 11th edition

s2008m [1.1K]

Answer:Brainly.com

Step-by-step explanation: type it in

7 0

3 years ago

Prove that A - B = A-(A n B) using a Venn diagram​

Prove that A - B = A-(A n B) using a Venn diagram