A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. A 2-column table with 6 rows. The first column is labeled month with entries 1, 2, 3, 4, 5, 6. The second column is labeled number of births with entries 137, 110, 93, 70, 65, 77. Find a quadratic function that models the data. Round numerical values to the nearest whole number. F(x) = x2 x Use the function to predict the number of births for month 8. There will be about births.

Answers

Answer 1

The hospital uses the quadratic model to predict the number of births

The equation of the quadratic model is f(x) = 4 x^2 -43 x +178, and the number of births for month 8 is 90

How to determine the quadratic model

To determine the quadratic model, the make use of a graphing calculator, that has the following calculation summary

a = 4.339 b = -43.461 c = 178.3

A quadratic model is represented as:

[tex]y= ax^2 + bx + c[/tex]

So, we have:

[tex]y = 4.339 x^2 -43.461 x +178.3[/tex]

Approximate

[tex]y = 4 x^2 -43 x +178[/tex]

Rewrite as:

[tex]f(x) = 4 x^2 -43 x +178[/tex]

At the 8th month, we have x = 8.

So, the function becomes

[tex]f(8) = 4 * 8^2 -43 *8 +178[/tex]

[tex]f(8) = 90[/tex]

Hence, the number of births for month 8 is 90

Read more about quadratic models at:

https://brainly.com/question/1214333

Answer 2

Answer:

4

-43

178

90

Step-by-step explanation:

yep


Related Questions

When the doctor evaluates the nares, what finding could not be appreciated?

Answers

Answer:

Heart sounds

Step-by-step explanation:

Your doctor has allergic reaction, febrile rash, and meningitis in their differential for the patient.In a healthy adult, the heart makes two sounds, commonly described as 'lub' and 'dub. ' The third and fourth sounds may be heard in some healthy people, but can indicate impairment of the heart function. S1 and S2 are high-pitched and S3 and S4 are low-pitched sounds.

Which equation is equivalent to startroot x squared 81 endroot = x 10? x 9 = x 10 x 9 = x2 20x 100 x2 81 = x2 100 x2 81 = x2 20x 100

Answers

The equation [tex]\rm \sqrt{x^2 + 81} = x + 10[/tex] is equivalent to [tex]\rm x^2 + 81 = x^2 + 20x + 100[/tex]. Then the correct option is D.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The equation is given below.

[tex]\rm \sqrt{x^2 + 81} = x + 10[/tex]

Squaring both sides, we have

[tex]\rm (\sqrt{x^2 + 81})^2 = (x + 10)^2\\\\x^2 \ \ +\ \ 81 \ \ = x^2 + 20x + 100[/tex]

Thus, the equation [tex]\rm \sqrt{x^2 + 81} = x + 10[/tex] is equivalent to [tex]\rm x^2 + 81 = x^2 + 20x + 100[/tex]. Then the correct option is D.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

-2(x-1) I need help????????

Answers

Answer:

-2x+2

Step-by-step explanation:

Answer:

-2x+2 because you would have to distribute

Core Bites # 13
Shannon borrowed $6,000 from her parents to buy a car. Her parents
charged her 4% simple interest for 2 years. How much interest did she
pay her parents?

Answers

Answer:

$1,500

Step-by-step explanation:

Shannon just borrowed $6,000 and charged her for 4% for 2 years. So you will divide 6,000 / 4 which gives you $1,500.

$480

explanation: i used the formula i=prt and plugged the numbers in —> i=6000•0.04•2 and got i=480

The vet says That rays puppy will grow to be at most 28 inches tall. Rays puppy is currently 1 foot tall. How much more will the puppy grow?

Write an inequality to solve

Answers

Answer:

16 inches

Step-by-step explanation:

1 foot is equivalent to 12 inches so the puppy will grow 16 more inches which is equal to 28 inches.

PLS HURRY I WILL GIVE BRAINLIEST
Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)

Part B: Write a verbal expression for 3(n + 8). (5 points)

Answers

Part A

Let the number be n.

answer:

7n + 6

Part B

8 more than a number is multiplied by 3

Answer:

PART A: 8x7(+6)

Step-by-step explanation:

PART B: Expand 3(n + 8)

Step 1: Multiply (3) * (n + 8)

Step 1.1: Multiply 3 by each term in n + 8

Step 1.1.1: Multiply 3 * n

Group constants and powers by variable

(3 * 1)(n1)

3n

Step 1.1.2: Multiply 3 * 8

Group constants and powers by variable

(3 * 8)

24

Step 1 answer = 3n + 24

Group all like terms

3n + 24

In ΔUVW, u = 44 inches, ∠W=56° and ∠U=117°. Find the length of v, to the nearest inch.In ΔUVW, u = 44 inches, ∠W=56° and ∠U=117°. Find the length of v, to the nearest inch.

Answers

Answer: 6 inches

Step-by-step explanation:

Find the value of 'x' from the given figure:

Answers

Answer:

the exact answer is in decimal ... 15.714 is the value of x

120° + 4x + 3x + 130° = 360° (interior angles of
a quadrilateral)
250° + 7x = 360°
7x = 110°
x = 15,7142...

In the addition problem below, the digits B and C represent a number different from any of the other numbers shown (that is, not 1, 4, 5, 6, or 9. B5+C9=164

Answers

B5 + C9 = 164

Split the numbers.

B0 +C0 +14 = 164.

B0 + C0 = 150

B + C = 15

B cannot be 1, 2, 3, 4, or 5 because that forces C to be a two digit number and C only represents 1 digit.

B cannot be 6 or 9 because they are present.

B can only be 7 or 8. C can also be 7 or 8.

Therefore, B = 7  and C = 8, OR B = 8 and C = 7.

has anyone heard from aneeshGG lately if so tell hime that bella needs to talk to him and DON`T WASTE THE POINTS!!!!!!!!!!!!!!!

Answers

Answer:

Are you isabella if not im zoe. I will try to tell him

Step-by-step explanation:

Brainliest?

Answer:

morning

Step-by-step explanation:

will 73 55 4 form a right triangle

Answers

Answer:

No.

Step-by-step explanation:

[tex]a^{2} +b^{2} = c^{2}[/tex]

4^2 is 16. 55^2 is 3025. 16 plus 3025 is 3041. 73^2 is 5329. 5329 does not equal 3041.

Hope this helped and have a great day

(Please brainliest)

Refer to the equation y = 3x – 5.
(a)Complete the table of values below. Show your work.
x y
-1
0
1





(b) Identify the slope and y-intercept of the equation.
slope =
y-intercept =

Answers

The equation y = 3x - 5 is an illustration of a linear equation

The slope is 3, and the y-intercept is -5

How to complete the table?

The equation of the table is given as:

y = 3x - 5

When x = -1, we have:

y = 3(-1) - 5 = -8

When x = 0, we have:

y = 3(0) - 5 = -5

When x = 1, we have:

y = 3(1) - 5 = -2

So, the complete table is:

x     y

-1    -8

0      -5

1       -2

The slope and the y-intercept

A linear equation is represented as:

y = mx + b

Where:

m represents the slope and b represents the y-intercept.

By comparison, we have:

m = 3, and b = -5

Hence, the slope is 3, and the y-intercept is -5

Read more about linear equations at:

https://brainly.com/question/14323743

Solve the system of equations. \begin{aligned} & 7x-3y = 20 \\\\ & y=5x-4 \end{aligned} ​ 7x−3y=20 y=5x−4 ​

Answers

Answer:

x=-1 & y=-9

Step-by-step explanation:

7x-3y=20 ⇒(1)

y=5x-4 ⇒(2)

Multiplying (2) by 3

3y=15x-12 ⇒(3)

Add (1) and (3)

7x-3y+3y=20+15x-12

7x=15x+8

-8x=8

Substitute by x at (2)

y=5(-1)-4= -5-4=-9

x=-1 and y=-9

What are the dimensions of a rectangular wall that can be constructed with 100 feet of brick that will maximize the area enclosed by that brick?

Answers

Answer:

Step-by-step explanation:

25ft x 25ft

Maximum Area with Fixed Perimeter

In order to have a perimeter of 100 feet, that means that each side needs to be 25 feet long. The area would then be 25ft x 25ft, or 625ft2.

(ab+cd)2 - (ac-bd)2 factorize 2 is power

Answers

Answer:

(ab + cd + ac - bd)(ab + cd - ac + bd)

Step-by-step explanation:

(ab + cd)² - (ac - bd)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = ab + cd and b = ac - bd , then

= (ab + cd + ac - bd)(ab + cd - (ac - bd))

= (ab + cd + ac - bd)(ab + cd - ac + bd)

In the number 38. 7165, what number is in the hundredths position?

Answers

Answer:

1

Step-by-step explanation:

Your answer is 1 because hundredths position is the second number after the decimal other answers include.

Ten=3

Ones place=8

Tenths place=7

Thousandths place=6

Hundred thousandths=5


Hope it helps have a great day:)

Write a rule and an equation to fit the pattern in the table then use the rule to complete the table.

Question- the value of y is __ the value of x

Answers

Answer:

less thaan

Step-by-step explanation:

becuase you subtract 11 from the x values to get the answer.

Which expression is the simplest form of 4x^3 + x^2 + 2\left( {{x^3} - 3{x^2}} \right)4x

3 +x 2 +2(x ^3−3x ^2 )?

Answers

B. 6x^3 -5x^2
hopefully this helps :))

Factor the polynomial expression –16(x2 – 3x – 4).

Answers

Answer:

The answer is 16x-4x+1, give me brainliest answer

Answer:

–16(x2 – 3x – 4)

first we have to distribuite

-16x^2+48x+64

then we have to look for a number that goes into all of these which is -16

x^2-3x-4

then multiply the first by the last

-4x^2

then we have to find a two number that adds to make -3 and multiples to make -4x2

now lets list the factors

2*2

4*1

then lets just plug in

(x^2+x)(-4x-4)

now we have to factor out

x(x+1)-4(x+1)

-16(x-4)(x+1)

Hope This Helps!!!

Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. each trimester costs $1,450, and samantha must complete 2 years of college to receive her degree. the average cost for books each trimester is $350. approximately what will be the total cost for samantha to get her degree? a. $4,700 b. $5,400 c. $9,050 d. $10,800 please select the best answer from the choices provided a b c d

Answers

Answer:

the answer is 4,700

Step-by-step explanation:

The main cable of a suspension bridge forms a parabola modeled by the equation y = a(x – H)2 + k where y is the
height in feet of the cable above the road, x is the horizontal distance in feet from the right bridge support, a is a
constant, and (h, k) is the parabola's vertex. What is the maximum and minimum height of the bridge modeled by the
equation y = 0.005(x - 60)2 + 8?
O maximum height = 100 feet and minimum height = 26 feet
O maximum height = 100 feet and minimum height = 8 feet
O maximum height = 60 feet and minimum height = 26 feet
O maximum height = 26 feet and minimum height = 8 feet

Answers

Answer:

D) maximum height = 26 feet and minimum height = 8 feet

Step-by-step explanation:

100% on edge

Answer:D on edge

Step-by-step explanation:

the guy above is right .

If you are buying at item at a store for a price of $45, and there is a 8.8% tax added on top, what would be the total amount due at the register, to the nearest cent?

Answers

Answer:

$48.96

Step-by-step explanation:

Convert percent to decimal:

8.8%=8.8/100=0.088

Percent formula:

a(1+r)

45(1+0.088)

45(1.088)

48.96

Total Amount Paid:

48.96

There are 20 pens in a box. Eighteen of the pens are black the other two are red what percentage of the pens are black

Answers

Answer:

The answer I got was 90%

Step-by-step explanation:

18/20 = 90%


Evaluate 2x^3+4x-5 when x=3

Answers

Answer:

61

Step-by-step explanation:


What is the image point of (9,9) after a translation right 5 units and down 4 units?

Answers

Answer:

(4,5)

Step-by-step explanation:

5 units right means the line x so we do 9-5 and we get 4.

Down 4 units means the y line so we do 9-4 and we get 5.

X goes 1st and y goes second so it is (4,5)

Could I please have BRAINLIEST?

need help asap !!!!!

Answers

The answer should be 61

Answer:

61

Step-by-step explanation:

the angle of 119 degrees is equal to the angle on the angle on the exterior of the question mark. So all you gotta do is subtract 180-119

helppppppppppppppppppppp

Answers

Hey there!

The first expression is

5x+15

The equivalent expressions are

5(x+3)

- the opposite of the Distributive Property: 5(x+3)=5x+15

Plus

isn't 5*x+5*3 the same as 5x+15?

Yeah, it is :)

Hence, the equivalent expressions are

[tex]\boxed{\boxed{\bold{Option\;A \;and\;Option\;B}}}[/tex]

[tex]\rule{200}{2}[/tex]

In order to simplify this expression, we need to combine like terms:

11+12y-3-y

The y's are like terms:

11+12y-y-3

11+11y-3

Can you spot any other like terms here? That's right, 11 and -3:

11-3+11y

8+11y

Hence, the equivalent expression is

[tex]\boxed{\boxed{\bold{11y+8}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, please comment.

#LearningDoesn'tEnd

#LearningIsFun

round 765,903 to the nearest thousand

Answers

I think it is 6000 sorry if I got this wrong

Answer:

766,000

Step-by-step explanation:

The thousands place is the 5 in 765,903. Because the hundreds place is 5 or above, the thousands place should be rounded up.

Which number is a solution for the inequality 4p > 8?

Answers

[tex]\huge \underline\frak\pink{Answer}[/tex]

[tex]\small\mathbb\red{4×p-(8)<0}[/tex]

[tex]\small\mathbb\red{pull \: out \: like \: factors:}[/tex]

[tex]\small\mathbb\red{4p - 8 = 4 × (p - 2)}[/tex]

[tex]\small\mathbb\red{Divide \: both \: sides \: by \: 4}[/tex]

[tex]\small\mathbb\red{Add \: 2 \: to \: both \: sides}[/tex]

[tex]\small\mathbb\red{p < 2}[/tex]

[tex]\small\mathbb\red{Inequality \: plot \: for}[/tex]

[tex]\small\mathbb\red{4.000×8.000<0}[/tex]

[tex]\small\mathbb\red{one \: solution \: was \: found:}[/tex]

[tex]\small\mathbb\red{P<2}[/tex]

______________________________________

[tex]\small\frak\orange{hope \: its \: helpful \: to \: you}[/tex]

I needa an answer?! It would really help <3


Thank you a lot!!!

Answers

Answer:

C. 2.865

Step-by-step explanation:

All you have to do in this situation is to subtract the amount he ran two weeks ago by the amount Thomas ran last week. It would look like so,

38.074 - 35.209

And once you do that you get the answer of 2.865

Hope that helps and have a great day!

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