Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic

Answers

Answer 1

Answer:

it's a linear

since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject

8x²-24= y


Related Questions

Find the value of x

Answers

Answer:

x = 40

Step-by-step explanation:

Two triangles are similar so we can use similarity ratio to find x

x/16 = 35/14 cross multiply expressions

14x = 560 divide both sides by 14

x = 40

Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to ___________.

Answers

Answer:

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames.

This means that [tex]p = \frac{124}{500} = 0.248[/tex]

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to

By the Central Limit Theorem, it is equal to the sample proportion of 0.248.

write a recursive formula for the following sequence 25,43,61,79,97
F(1)= 25
F(n)= F (n-1) +18

Answers

Given:

The sequence is:

25,43,61,79,97

To find:

The recursive formula for the given sequence.

Solution:

We have,

25,43,61,79,97

Here, the first term is 25. Now, the differences between the two consecutive terms are:

[tex]43-25=18[/tex]

[tex]61-43=18[/tex]

[tex]79-61=18[/tex]

[tex]97-79=18[/tex]

The differences between the two consecutive terms is common, i.e., 18. So, the given sequence is an arithmetic sequence.

The recursive formula of an arithmetic sequence is:

[tex]F(n)=F(n-1)+d[/tex]

Where, d is the common difference and F(1) is the first term.

Putting [tex]d=18[/tex], we get

[tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Therefore, the required recursive formula is [tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].

Allison works at a Bank. Her employer offers her a retirement pension plan which will be 1.75% of her average salary for the last five years of employment for every year worked. Allison is planning on retiring after working at the Credit Union for 32 years. Her salaries over the last five years are $70,000; $73,100; $75,200; $77,500; and $79,000. Calculate Allison's annual pension.​

Answers

9514 1404 393

Answer:

  $41,977.60

Step-by-step explanation:

Allison's average salary for the last 5 years is ...

  (70 +73.1 +75.2 +77.5 +79)/5 = 74.96 . . . . thousand dollars

Then her annual pension is ...

  1.75% × $74,960 × 32 = $41,997.60

A shoreline observation post is located on a cliff such that the observer is 280 feet above sea level. The observer spots a ship approaching the shore and the ship is traveling at a constant speed.

Requried:
a. When the observer initially spots the ship, the angle of depression for the observer's vision is 6 degrees. At this point in time, how far is the ship from the shore?
b. After watching the ship for 43 seconds, the angle of depression for the observer's vision is 16 degrees. At this point in time, how far is the ship from the shore?

Answers

Using the slope concept, it is found that the distances from the shore at each moment are given by:

a) 2664 feet.

b) 976 feet.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

Item a:

The vertical distance is of 280 feet, with an angle of . The distance from the shore is the horizontal distance of x. Hence:

[tex]\tan{6^\circ} = \frac{280}{x}[/tex]

[tex]x = \frac{280}{\tan{6^\circ}}[/tex]

x = 2664.

Item b:

The vertical distance is of 280 feet, with an angle of 16º. The distance from the shore is the horizontal distance of x. Hence:

[tex]\tan{16^\circ} = \frac{280}{x}[/tex]

[tex]x = \frac{280}{\tan{16^\circ}}[/tex]

x = 976.

More can be learned about the slope concept at https://brainly.com/question/18090623

In 24.736, which digit is in the thousandths place?​

Answers

Answer:

6

Step-by-step explanation:

The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.

In the decimal number 24.736, the digit which is at the thousandth place will be 6.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that the number starts from the tenths after the decimal.

....123.456..

The expansion of the number is given as,

... + 100 + 20 + 3 + 0.4 + 0.05 + 0.006 + ......

The expansion is written in form of words. Then

Hundreds + Tens + Ones + Tenths + Hundredths, Thousandths, and so on.

In the decimal number 24.736, the digit which is at the thousandth place will be 6.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Evaluatef(x) = 2.5x-11 when x = 4

Answers

Answer:

-1

Step-by-step explanation:

f(4) = 2.5(4) -11

f(4) = 10 -11

f(4) = -1

Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?

A)

As x → –∞, y → +∞ and as x → +∞, y → –∞

B)

As x → –∞, y → –∞ and as x → +∞, y → +∞

C)

As x → –∞, y → –∞ and as x → +∞, y → –∞

D)

As x → –∞, y → +∞ and as x → +∞, y → +∞

Answers

Answer:

A

Step-by-step explanation:

f(x)=-5x³+3x²+x-9

leading coefficient is negative and it is of odd degree.

so it starts from above onthe left  and ends at the bottom ont he right.

The in center is the center of the circle of a triangle

1) circumscribed
2) centralized
3) cocentric
4) inscribed

Answers

Answer:

inscribed

Step-by-step explanation:

For any given triangle, the circle inside of it is called the Inscribed circle

Get brainiest if right!!

Answers

Answer:

4 1/8 units

Step-by-step explanation:

I believe this to be so if these points were on a number line. You would add the two points together to get the distance between the two points.

What is the answer to this equation

Answers

Answer:

[tex]x = - \frac{494}{3}[/tex] [tex]= - 164\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]75 + \frac{3}{8} x = 13\frac{1}{4}\\\\75 + \frac{3}{8} x = \frac{53}{4}\\\\\frac{3}{8}x = \frac{53}{ 4} - 75\\\\\frac{3}{8}x = \frac{53-300}{4}\\\\\frac{3}{8}x = - \frac{247}{4}\\\\x = -\frac{247 \times 8}{4 \times 3} \\\\x = -\frac{494}{3}[/tex]

Is the triangle a right angle? Pythagorean Theorem.​

Answers

Answer:

yes it is

Step-by-step explanation:

hopefully that helps

195ft i think because 10 x 19.5

because 39 divided by 2 is 19.5

so then 19.5 x 10 = 195ft

i believe that it is

I need this math problem to be solved ASAP!!! Solve for X.
-8x + 3 ≥ 27 AND −13x + 5 ≥ 57
Choose ONE and ONLY the CORRECT answer.
A: x ≤ −4
B: x ≤ −3
C: −4 ≤ x ≤ −3
D: There are NO solutions.
E: All values of X are solutions.

Answers

Answer:

A: x ≤ −4

Step-by-step explanation:

Hi there!

We're given the two inequalities -8x + 3 ≥ 27 and  −13x + 5 ≥ 57

we need to find the set of solutions that make the two inequalities true (the intersection)

First, let's solve the two inequalities, starting with -8x + 3 ≥ 27

-8x + 3 ≥ 27

subtract 3 from both sides

-8x≥24

divide both sides by -8 and remember to FLIP the inequality sign, as we're dividing with a negative

x ≤ -3

now for the other inequality:

−13x + 5 ≥ 57

subtract 5 from both sides

-13x ≥ 52

divide both sides by -13 and remember to FLIP the sign

x ≤ -4

please see below for the graph to find the intersection, as well as the final answer

Hope this helps! :)

Marlene is trying to estimate v 42. She uses this table of values:
Square 6.02 6.12 6.22 6.32 6.42 6.52
Value
36.0 37.2 38.4 39.7 41.0 42.3
Square 6.62 6.72 6.82 6.92 7.02
Value
43.6 44.9 46.2 47.6 49.0
What should she do next to find 42 to the nearest hundredth?
A. She should find the squares of numbers between 6.4 and 6.5.
ООО
B. She should find the average of 6.4 and 6.5.
C. She should find the squares of numbers between 6.5 and 6.6.
O D. She should estimate that 42 is 6.50,

Answers

B. She should find the average of 6.4 and 6.5 fry us soshdnsaohsxjx

Answer:

A

Step-by-step explanation:

Did the quiz

A rectangular area is to be enclosed using an existing

wall as one side 100m of fencing are available for the

three side. It is desire to make the areas as large as

possible. Find the necessary dimension of the

enclosure and the maximum area.​

Answers

Answer:

[tex]\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Let the one of the side lengths of the rectangle be [tex]x[/tex] and the other be [tex]y[/tex].

We can write the following equations, where [tex]x[/tex] will be the side opposite to the wall:

[tex]x+2y=100,\\xy=\text{Area}[/tex]

From the first equation, we can isolate [tex]x=100-2y[/tex] and substitute into the second equation:

[tex](100-2y)y=\text{Area},\\-2y^2+100=\text{Area}[/tex]

Therefore, the parabola [tex]-2y^2+100y[/tex] denotes the area of this rectangular enclosure. The maximum area possible will occur at the vertex of this parabola.

The x-coordinate of the vertex of a parabola in standard form [tex]ax^2+bx+c[/tex] is given by [tex]\frac{-b}{2a}[/tex].

Therefore, the vertex is:

[tex]\frac{-100}{2(-2)}=\frac{100}{4}=25[/tex]

Plug in [tex]x=25[/tex] to the equation to get the y-coordinate:

[tex]-2(25^2)+100(25)=\boxed{1,250}[/tex]

Thus the vertex of the parabola is at [tex](25, 1250)[/tex]. This tells us the following:

The maximum area occurs when one side (y) of the rectangle is equal to 25The maximum area of the enclosure is 1,250 square meters The other dimension, from [tex]x+2y=100[/tex], must be [tex]50[/tex]

And therefore, the desired answers are:

[tex]\text{Dimensions: 25 x 50},\\\text{Area: }1,250\:\mathrm{m^2}[/tex]

what is the solution​

Answers

Answer:

c 13 over 12

Step-by-step explanation:

it help I makeit


Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Answers

Answer:

The relationship between the above two triangles is SAS and they are congruent

Solve for d.
d + 67 = 87
р
Submit

Answers

Answer:

[tex]d=20[/tex]

Step-by-step explanation:

[tex]d+67=87[/tex]

Subtract 67 from both sides

[tex]d=20[/tex]

Hope this is helpful

Answer:

d = 20

Step-by-step explanation:

A country's population in 1993 was 204 million. In 2000 it was 208 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million. P- Aekt​

Answers

Answer:

217

Step-by-step explanation:

What is the domain of the function graphed below?​

Answers

Answer:

x < 7

Step-by-step explanation:

the domain of a function defines the valid x values for the function.

as we go from left to right through all possible values of x, we see all values incl. x=-1 are creating a valid function result (y) for this function. until we reach x=7.

the empty ball indicates that there is no y value defined here. and for any value x>7 there is no y value defined.

so, x < 7 is the right one.

Answer: A

Step-by-step explanation:

Somebody else has to comment for me to Mark u as BRAINLIEST!! It won't let me

Answers

Answer:

7.5 is the difference

Step-by-step explanation:

basketball mean

(13+22+23+24+36+37+42+43+58+69) ÷10 = 36.7

tennis mean

(14+23+24+38+47+48+57+58+66+67) ÷10 = 44.2

tennis mean - basketball mean

44.2 - 36.7= 7.5

The function y = sin 2 (x – π∕2) has a period of Question 2 options: A) 4π. B) π. C) 2π. D) π∕2.

Answers

Answer:

B) π

Step-by-step explanation:

y = sin 2 (x – π∕2)

y = sin (2x -π)

=> 2x = 2π

x = π

The period of function sin(2x−π) is π, which is correct option(B).

What is the period of the function?

The period of the function is defined as the interval between repetitions of any function. A trigonometric function's period is the length of one one completed cycle.

What is the Trigonometric functions?

The trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given the function as :

y = sin 2 (x – π/2)

y = sin (2x − π)

Use the form asin(bx−c) + d to determine the variables used to find the amplitude, period, phase shift, and vertical shift.

a = 1

b = 2

c = π

d = 0

Determine the period of sin(2x−π).

y = sin (2x -π)

So, the period = c = π

Hence, the period of function sin(2x−π) is π.

Learn more about  period of the function here:

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In triangle ABC, AC = 4, BC = 5, and 1 < AB < 9. Let D, E and F be the
midpoints of BC, CA, and AB, respectively. If AD and BE intersect at G
and point G is on CF, how long is AB?
A. 2
B. 3
C. 4
D. 5

Answers

the answer would be 4
The answer will be C.4

What is the greatest common
factor of the expression?
2x^2y^3+4x^2y^5

Answers

Answer:

[tex]2x^2y^3[/tex]

Step-by-step explanation:

The given expression is :

[tex]2x^2y^3+4x^2y^5[/tex]

We need to find the greatest common  factor of the expression.

The first term is [tex]2x^2y^3[/tex]

The other term is [tex]4x^2y^5[/tex]

[tex]2x^2y^3[/tex] is common in both terms. So,

[tex]2x^2y^3(1+2y^2)[/tex]

Hence, the greatest common factor of the expression is equal to [tex]2x^2y^3[/tex].

Fractions are hard... Or I'm just to lazy to try and do them.

Answers

Answer: C) 3/2

Explanation: In math, the reciprocal is the inverse of a number or value. Simply, the number when flipped. Knowing this, one can flip the fraction to find the reciprocal, in this case turning 2/3 into 3/2.

Hope this helps :)

What is the slope of the linear relationship shown in this table of values?​

Answers

Answer: -2 (b)

Step-by-step explanation:

So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.

Take a pair of points like (-4, 11) and (2, -1)

{But you can use other points in the chart too. }

-4 to 2 is a distance of 6 --> that is the x

11 to -1 is a distance of -12 --> that is the y

We want the change in y over (or divided by) change in x.

-12 / 6 = -2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table

m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B

The diameter of the stem of a wheat plant is an important trait because of its relationship to breakage of the stem. An agronomist measured stem diameter in eight plants of a particular type of wheat. The mean of these data is 2.275 and the standard deviation is 0.238. Construct a 80% confidence interval for the population mean.

Answers

Answer:  

7.79771≤x≤8.20229  

Step-by-step explanation:  

Given the following  

sample size n = 8  

standard deviation s = 0.238  

Sample mean = 2.275  

z-score at 980% = 1.282

Confidence Interval = x ± z×s/√n  

Confidence Interval = 8 ± 1.282×0.238/1.5083)  

Confidence Interval = 8 ± (1.282×0.15779)

Confidence Interval = 8 ±0.20229    

CI = {8-0.20229, 8+0.20229}  

CI = {7.79771, 8.20229}

Hence the required confidence interval is 7.79771≤x≤8.20229

Write the point-slope form of the equation for a line that passes through (-1, 4) with a slope of 2.
The value of xt is
The value of yn is
The point-slope form of the equation is

Answers

Answer:

67 f

Step-by-step explanation:

Which score is better in terms of percentages: 12 out of 15 or 23 out of 26?

Answers

Answer:

23/26 is a greater percentage, it equals around 88% while 12/15 equals 80%

Step-by-step explanation:

The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2 . Find the height of the triangle

Answers

Answer:

Step-by-step explanation:

Let the Base of the  △  be  x

Then the Height will be  2 x + 4

Area of △ = 1 2 b h

Where, b = b a s e , h = h e i g h t , A r e a = 35

(in this case)

Substitute the values into the equation → 35 = 1 2 ( 2 x + 4 ) ( x ) → 35 = ( 2 x + 4 ) 2 ( x ) →

35 = ( x + 2 ) ( x ) → 35 = x 2 + 2 x

Subtract  35  both sides

→ 0 = x ^2 + 2 x − 35

Rewrite the equation in the Standard form

x ^2 + 2 x − 35 = 0

Factor the equation

→ ( x + 7 ) ( x − 5 ) = 0

So we have  

x = − 7 , 5

numbers So  x = 5

They have asked us to find the Height

So, ⇒ H e i g h t = 2 x + 4 = 2

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