MATHEMATICS HIGH SCHOOL

Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?f(x) = –x2 – 8x – 16

f(x) = –x2 + 8x – 16

f(x) = –x2 – 8x + 16

f(x) = –x2 + 8x + 16

Answers

Answer 1

Answer: Hello,

f(x)=-(x-4)²=-(x²-8x+16)=-x²+8x-16

Answer B

Answer 2

Answer:

Answer:

The answer is B. Just took the test.

Step-by-step explanation:

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Your baseball team is selling bags of popcorn to raise money for a trip. For each bag of popcorn you sell, $4 goes towards your trip. You hope to earn at least $140 for the trip. Write and solve an inequality that represents the numbers x of bags of popcorn you must sell to reach your goal.

Answers

The inequality function and the value of x is $4x > $140, and x = 35.

Given that,

The price should goes up by $4.
And, the minimum earnings should be $140.
Here we assume the number of popcorn bags be x.

Based on the above information, the inequality function is as follows:

$4x > $140

Now Divide it by both sides with 4

So,

x= 35

Therefore we can conclude that the inequality function and the value of x is $4x > $140, and x = 35.

Learn more: brainly.com/question/15137133

To write the inequality...$4 per bag multiplied by the number of bags must be greater than or equal to $140.

$4x > $140
Divide both sides by 4
x=35

Can somebody PLEASE help meIn a SRS of 80 teenagers, the average number of text messages received per day is found to 50. If the standard deviation of number of texts received is known to be σ = 12, find the 95% confidence interval for the number of text messages received.

Answers

To solve this problem you have to find out what the value of +/- Z is that encloses 95% of the area under the normal distribution curve. For this you can use this formula: Please see the attached image.

Find the upper and lower limits of x, corresponding to +Z and -Z respective.

I hope this helps, Regards.

Write a rule for the linear function in the table (1)(3),(2)(2),(3)(1),(4)(0)

Answers

y= -x + 4
I just did this one. Look at the steps I. The other one.

Here, f(x) = {(1,3), (2,2), (3,1), (4,0)}
So, rule for this function is {x+n, y-n}

Where, n = number of steps, & x, y are the initial values of the function which is 1 & 3 respectively

Hope it Helped

Add: (7x-6y)+(3x+3y-3)

Answers

Let's simplify step-by-step.7x−6y+3x+3y−3=7x+−6y+3x+3y+−3Combine Like Terms:=7x+−6y+3x+3y+−3=(7x+3x)+(−6y+3y)+(−3)=10x+−3y+−3Answer:=10x−3y−3

Since all the functions in here are addition and subtraction, you can remove the parentheses and just combine like terms.
$(7x-6y)+(3x+3y-3) \n 7x-6y+3x+3y-3 \n 7x+3x+3y-6y-3 \n (7x+3x)+(3y-6y)-3 \n 10x+(-3y)-3 \n 10x-3y-3$

The answer is 10x-3y-3.

Hope this helps!

You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021

Answers

The approximate value of the land in 2021 will be $588,394.356.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Value of the land in 1960 = $30,000

Each year, the value is increasing approximately 5 % = 5/100 = 0.05.

Value of the land in 1961 = 30,000 + (30,000 × 0.05)

= 30,000 (1 + 0.05)

= 30,000 × 1.05

Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)

= (30,000 × 1.05) (1 + 0.05)

= (30,000 × 1.05) (1.05)

= 30,000 × (1.05)²

So each year previous value is multiplied with 1.05.

Value of the land after n years = 30,000 × (1.05)ⁿ

Value of the land after 61 years = 30,000 × (1.05)⁶¹

= 588,394.356

Hence the approximate value of the land in 2021 is $588,394.356.

Learn more about Multiplication here :

brainly.com/question/14332252

#SPJ2

Answer:

$91,500

Step-by-step explanation:

The land appreciates 5% of 30k which is $1,500 and multiply that by 61

The coordinates of the endpoints of and are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which condition proves that ?Please Look A Picture For A Better Look At The Question.

Answers

for two line segments to be parallel, their slopes must be equal.

Therefore slope of AB must be equal to slope of CD

which is, option 3
(y4-y3)/(x4-x3)=(y2-y1)/(x2-x1)

Answer with explanation:

When two lines are parallel, then their slopes are equal.

It is given that, AB ║ CD.

Coordinates of A, B, C and D are,

$A(x_(1), y_(1)), B(x_(2), y_(2)), C(x_(3), y_(3)), and D(x_(4), y_(4))$