Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.

Determine Whether The Function Is Linear Or Quadratic. Identify The Quadratic, Linear, And Constant Terms.

Answers

Answer 1

Answer:

B. Quadratic Function

Quadratic Term: 15x^2

Linear Term: 9x

Constant Term: -6

Step-by-step explanation:

1. F.O.I.L (firsts, outers, inners, lasts) the function

BREAK APART:       3x(5x - 2)    and    3(5x - 2)

(fx) = 15x^2 - 6x + 15x - 6

f(x) = 15x^2 + 9x - 6

There is a square in the function, therefore it is quadratic. The quadratic term is the term being squared, and you go from there.


Related Questions

Martina creates the graph of function g by applying a transformation to function f
f(x) = 4^x-2
g(x) = 4^x+7


Which transformation did Martina apply?

Answers

Answer:

A

Step-by-step explanation:

f(x)=4^x-2

g(x)=4^x+7

it is horizontal shift 9 unit to the left

hope it works

Answer:

A: A horizontal shift of 9 units left

Hope this helps! :D

Step-by-step explanation:

Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4

Answers

Answer:

A ≈ 254.5 in²

Option C

Step-by-step explanation:

Area of a Circle Formula: A = πr²

d = 2r

Since we are given diameter d, we simply divide by 2 to get radius r:

r = 18/2 = 9

Then we simply plug it into the formula:

A = π(9)²

A = 81π

A = 254.469

A circle with a radius of 9 inches has an area of 254.3 square inches. The of aarea  circle is calculated using the formula πr², where π is a mathematical constant approximately equal to 3.14 and r is the radius of the circle.

Hence, the correct option is C.

The area of a circle is calculated using the formula A = πr², where A is the area and r is the radius of the circle. In this case, the radius is 9 inches, so the area is given by:

In this case, the radius is 9 inches, so the area of circle is given by,

Area = pi × [tex]9^{2}[/tex]

Area = 3.14 × 81

Area= 254.3

The value of pi is approximately 3.14, so the area of the circle is approximately 254.3. However, the question asks for the area rounded to the nearest tenth, so the answer is 254.3.

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what is the recursive formula for this geometric sequence? 2,-10,50,-250,...

Answers

Answer:

an = an-1 * (-5)

a1= 2

Step-by-step explanation:

The recursive formula is

an = an-1 * r

a1= initial term

where a1 is the initial term and r is the common ratio

a1 =2 or the starting term

r = second term / first term = -10/2 = -5

an = an-1 * (-5)

a1= 2

Answer:

The correct answer is D

Step-by-step explanation:

2 and -5

Which of the following best describes the slope of the line below?



O A. Undefined
O B. Negative
O c. Positive
O D. Zero

Answers

Answer:

zero or undefined

Answer:

it's d zero.

Step-by-step explanation:

just took the test

What is the product of (7/8)(-16)(-7)(- 1/14)

Answers

Answer:

-7

Explanation:

7/8 x - 16 x -7 x -1/14 = -7

Answer: -7

7/8 x -16 = -14

-14 x -7 = 98

98 x 1/14 = -7

ANSWER IS -7

One serving of a certain brand of yogurt contains 9 g of fat. The​ low-fat version contains 36.75​% less fat per serving. How many grams of fat does one serving the​ low-fat yogurt​ contain?

Answers

Answer:

Answer Choices??

Step-by-step explanation:

PLEASE HELP!!!!
Find the product. Write your answer in
exponential form.
2^6•2^-5

Answers

Answer:

2^1

According to the product of powers with the same base, a^m * a^n = a^m+n.

Basically, when you're multiplying exponents with the same base, you can add the powers together to get the answer.

2^6 * 2^-5

The bases are the same, so we can apply this rule.

6 + -5 = 1

This gives you the answer of 2^1.

PLEASE HELP

Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume

Answers

9514 1404 393

Answer:

  Cone Z, cylinder Y

Step-by-step explanation:

Pointy objects such as pyramids and cones have 1/3 the volume of a prism (or cylinder) with the same base area. So, for a cone and cylinder of the same base area to have the same volume, the cone must be 3 times as high.

The figures described as having that relationship are ...

  cone Z, cylinder Y

_____

Additional comment

The perimeter of a prism is not sufficient to define its base area, unless the shape of the base is well-enough defined. However, the perimeter of the base is useful for determining the lateral surface area. Unfortunately, that is not of any interest in this problem.

Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line.

Answers

Answer:

y = -x + 7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Step 1: Find slope

m = (6 - 3)/(1 - 4)

m = -1

Step 2: Find b

y = -x + b

6 = -1 + b

b = 7

Step 3: Rewrite linear equation

y = -x + 7

Answer:

y = -x + 7

Step-by-step explanation:

(x1, y1) = (4 , 3)

(x2, y2) = (1 , 6)

[tex]slope=\frac{y_{2}-y{1}}{x_{2}-x_{1}}\\\\=\frac{6-3}{1-4}\\\\=\frac{3}{-3}\\\\=-1\\\\y-y_{1}=m(x-x_{1})\\\\[/tex]

m = - 1;  (4,3)

y - 3 = (-1)(x -4)

y - 3 = -x + 4

y = -x + 4 + 3

y = -x + 7

Help ASAP. what is this asking me to do

Answers

Answer:

It's asking you to write the function in a factored form  for example g(x) or f(x) that's why its asking for you to use the x as the variable.

Step-by-step explanation:

If there are 50 cups of rice for a group of five people who have a combined weight of 880 pounds, determine how many cups each person should get per 100 pounds. Round to the nearest tenth of a cup.

Answers

Answer:

28.4 cups

Step-by-step explanation:

If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.

Now, we can set up a proportion:

[tex]\frac{176}{50} =\frac{100}{x}[/tex]

Cross Multiply:

176x = 5000

x = 5000/176 = 28.4 cups

The required number of cups that each person has 5.6 cups per 100 pounds.

There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.


What is the fraction?

Fraction is defined as the number of composition constitute the whole.


average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)

Number of cups per 100 pounds = 50/880*100

                                                       = 5.6 cups per 100 pound


Thus, the required number of cups that each person has 5.6 cups per 100 pounds.

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Help please. (Given: y ∥ x Prove: m∠5 + m∠2 + m∠6 = 180)

Answers

Answer:

Step-by-step explanation:

Concepts used :

sum of angles at a point on straight line is 180

if a transversal intersects two parallel lines then alternate angles are equal.

____________________________________________

∠∠∠∠∠

m∠1 + m∠2 + m∠3 = 180   ____________(A)

reason :sum of angles at a point on straight line is 180

these angles lie on LAM at point A

m∠1  = m∠5

Reason: alternate angles  y ∥ x and AC is transversal

m∠3  = m∠6

Reason: alternate angles  y ∥ x and AB is transversal

Substituting m∠1  with  m∠5 and m∠3  with m∠6

in equation A---m∠1 + m∠2 + m∠3 = 180

m∠5 + m∠2 + m∠6 = 180

Hence proved.

Answer:

The answers are below. Hope this helped. I sacrificed my answers ˙-˙ :)

Step-by-step explanation:

<1 congruent to <5                Given

<3 congruent to <6               Alternate Interior Angles theorem

m<1 = m<5                             Alternate Interior Angles theorem

m<3 = m<6                            Definition of congruent angles

m<1+m<2+m<3=m< LAM      Definition of congruent angles

m<1+m<2+m<3=180             Angle additon postulate

m<5+m<2+m<6=180            Definition of straight angle

Help please, I'm not timed

Answers

Answer:

B 30% you can divide 160 the total by 10then multiply and you can check B and C

Which Anna quality graft is the solution to X/ < -3

Answers

Answer:

Well the following inequality [tex]x<-3[/tex] as a graph is in the image below.

PLEASE HELP!! I will award Brainliest and give 55 POINTS!!! THANK YOU

Answers

Answer:

79

Step-by-step explanation:

If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.

Answer:

79 is correct  

The diagram shows a solid shape.
The volume of the cone is 270 cm.
Work out the volume of the solid shape.
Give your answer in terms of pi​

Answers

Answer:

[tex]756\pi[/tex]

Solution,

Volume of cone=270 pi cm^3

[tex] \frac{1}{3} \pi \: {r}^{2} = 270\pi \\ or \: {r}^{2} \times 10 = 270 \times 3 \\ or \: {r}^{2} \times 10 = 810 \\ or \: {r}^{2} = \frac{810}{10} \\ or \: {r}^{2} = 81 \\ or \: r = \sqrt{81} \\ or \: r = \sqrt{ {9}^{2} } \\ r = 9 \: cm[/tex]

Volume of semisphere:

[tex] \frac{2}{3} \pi {r}^{3} \\ = \: \frac{2}{3} \times \pi \times 9 \times 9 \times 9 \\ = 486\pi[/tex]

Total:

[tex]270\pi + 486\pi \\ = 756\pi[/tex]

hope this helps...

Good luck on your assignment..

A father requires his son to do chores for 4 to 6 hours a week. If the son wants to do
chores daily, how many hours per day is this (in interval notation)?

Answers

Answer: 5 hours and 15 mins

Step-by-step explanation: 45 mins x 7 = 5 hours and 15 mins. I checked so it should be correct. [tex]45x2= 1[/tex]hour and 30 mins.So I multiplied 1 hr 30 x 3 which gave me 4 hr 30 then added 45 mins, then I got 5 hr 15 min.

So in conclusion the answer is 5 hours and 15 mins.

                                                                                                 Thank You                                                                      

                         

Can someone help me out please :)
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass
the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(b) fails both exams.
%​

Answers

Answer:

15%

Step-by-step explanation:

25% fail math

60% of the 25% above fail science

thus,

[tex] \frac{25}{100} \times 60\%[/tex]

=15% of total student

Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$

Answers

Answer:

A=-3

B=-1

ans:-1-(-3)=2

Step-11by-step explanation:

Ax+By=3,m1= -A/B

x+3y= -5,m2= -1/3

A/B=1/3(parallel)

3A=B

(-7,2)

-7A+2B=3

-7A+6A=3

A= -3

B=-3/3= -1

-1-(-3)=2

Expand to write an equivalent expression: -1/4(-8x+12y)

Answers

Answer:

 

8x -12

Step-by-step explanation:

Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.

 

Answer:

2x-3y

Step-by-step explanation:

To expand this expression, use the distributive property.

[tex]-\frac{1}{4}(-8x+12y)[/tex]

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

[tex](-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)[/tex]

Multiply -1/4 and -8x first.

[tex]((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)[/tex]

[tex]2x+(-\frac{1}{4} *12y)[/tex]

Next, multiply -1/4 and 12y.

[tex]2x+ ((-\frac{1}{4} *12)y)[/tex]

[tex]2x+ -3y[/tex]

A +- becomes a -

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

solve the math problem please

Answers

Answer:

B, x≥2

Step-by-step explanation:

54 - 10x ≤ 20 + 7x - subtract 20

34 - 10x ≤ 7x - add 10x to 7x

34 ≤ 17x - divide 34 by 7

2 ≤ x - flip the equation - x ≥ 2

Hope this is helpful!

Answer:

Choice B

Step-by-step explanation:

TRUST ME. IF YOU WANT EXPLANATION:

54 - 10x < = 20 +  7x

54 - 20 < = 7x + 10x

34 < = 17x

34/17 < = x

2 < = x.....or x > = 2....its B trust me

Calculate the final cost: Original price $125 Discount 25%
Tax 6.5%
Please help me

Answers

Answer:

99.84

Step-by-step explanation:

Take the original price and subtract the discount

125 - .25 * 125

125 -31.25

93.75

Now add in the tax

93.75+.065*93.75

93.75+6.09375

99.84375

Rounding to the nearest cent

99.84

9 cans of paint are needed to
paint 4 rooms. Exactly how
many cans of paint are needed to
paint 10 rooms? How many cans
of paint should be purchased?
Exact:
Purchased:

Answers

Answer:

Step-by-step explanation:

Write and solve an equation of ratios:

 9        4

----- =  -----

 x         10

Then 4x = 90, and x = 22.5

It will take exactly 22.5 cans of paint to cover 10 rooms.  The painter must buy 23 cans.

Write 90 cents to $1.30 a fully simplified ratio by first converting to the same units, and then simplifying.(plz answer I will put brainliest)

Answers

Answer:

9:13.

Step-by-step explanation:

$1.30 = 130 cents

So the ratio is 90:130

= 9:13.

a line in a cartesian plane passes through the points 5,8 and 9,15. what's the slope of the line​

Answers

Answer:

B. 7/4

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

Plug in the coordinates:

m = (15 - 8)/(9 - 5)

m = 7/4

Please help with this

Answers

I would go with A as it seems the most logical answer
A. Should be right.

Find the vertex of the function given below.

y= x2 - 6x +1

Answers

Answer:

V( 3, -8 )

Step-by-step explanation:

Parable equation is of the form:

( x - h )² = 4p*(y - k)

In that expression, vertex has coordinates V ( h, k )

Then all we have to do is transform the given equation

y = x² - 6x + 1       or     x² - 6x  = y - 1          (1)

We can get a  perfect square trinomial in the first member of the equation according to:

x²  -  6x   =   ( x - 3 )²  - 9

(x - 3 )²   = x² - 6x  + 9

By substitution  en equation (1)

( x - 3 )² - 9 = y - 1

( x - 3 )² = y -1 + 9

( x - 3 )² = y + 8

( x - 3 )² = (y + 8 )

Then vertex coordinates are

V( 3 , -8)

What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram

Answers

Answer:

A square

Step-by-step explanation:

Since the base is a square, any plane of the pyramid parallel to the base is shaped like a square (except the very top one which is a point).

Square shape will you get if you take a cross section of a square pyramid parallel to its base

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

'A square pyramid is a  three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'

According to the given problem,

If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.

Hence, we concluded that square could be formed by slicing the square pyramid by a plane.

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This year at the state fair they held two hot dog eating contests. The first contest had 19 contestants and the winner would be the person that ate the most regular-sized hot dogs in 15 minutes. The second contest had 23 contestants and the winner would be the person that ate the most jumbo-sized hot dogs in 15 minutes. The data from both contests are shown in the box-and-whisker plots above. Using the box-and-whisker plots, the results for the____-sized hot dog contest has greater variability. The difference in the medians of the two contests is approximately _____times the interquartile range.

Answers

Answer:

*regular-sized hot dog contest has greater variability

*The difference in the medians of the two contests is approximately 2 times the interquartile range.

Step-by-step explanation:

Variability of the data from both contests can be compared using the range or interquartile range of each set of data from both contests.

The greater the value of the range or interquartile range, the greater the variability.

Range for regular-sized hot dog contest = 32 - 17 = 15

Range for Jumbo-sized hot dog contest = 22 - 8 = 14

Interquartile range for regular-sized hot dog contest = 27 - 22 = 5

Interquartile range for jumbo-sized hot dog contest = 16 - 11 = 5

Median for regular-sized hot dog contest = 23

Median for jumbo-sized hot dog contest = 14

The difference in the median of both contests = 23 - 14 = 9, which is approximately 2 times the interquartile range (5)

Thus, results for the regular-sized hot dog contest has greater variability, be side its range is 5, which is greater than that for jumbo-sized contest.

The difference in the medians of the two contests is approximately 2 times the interquartile range.

The interquartile range of both contests is 5. The median difference between both contests is 9, it is approximately 2 times 5. (i.e. 9/5 = 1.8 ≈ 2).

There is $500 in each of three envelopes. The first envelope contains only $10 bills, the second envelope contains only $20 bills, and the third envelope contains only $50 bills. One bill is taken out of one of the envelopes, two bills are taken out of another envelope, and three bills are taken out of the remaining envelope (in any order). What is the least possible amount, in dollars, that can be taken out?

Answers

Answer:

order:

-3 bills from first envelope (-30 dollars)

-2 bills from second envelope (-40 dollars)

-1 bill from third envelope (-50 dollars)

total least possible amount that can be taken out: 120

Step-by-step explanation:

Any other ways results in more than 120 being taken away. Need to have the least taken away from the 50 bill envelope because 50 is the largest bill. Take away the most from the 10 bill envelope because 10 is the smallest bill.

Answer:

$120

Step-by-step explanation:

So this question isn't hard either

We can cross out excess information and just find the main points.

a. 3 Envolopes containing 10 bills, 20 bills, and 50 bills

b. 1-3 bills are taken out of each envolope

c. It wants you to find the least possible amt. that could have been token out.

So since we want the least, we must take the smallest out of the largest

In order, 1 from 50 (largest)

2 from 20 (middle)

and 3 from 10 (smallest)

this leaves us the equation (1x50) + (2x20) + (3x10) => 50+40+30 => 120

Thus, we have our answer 120

Hope this helps!

Other Questions
Please help emergency and add explanation too pleaSE please help pleaseeeeeeeee the table shows the time it took a group of students to complete a puzzle Find the area of this circle. Area = _______ in2. Use 3.14 for pi and round to the nearest tenth. A. 35.8 B. 28.3 C. 254.3 D. 1017.4 Please help with this 2 PointsWhat group mostly immigrated to New York City?A. MexicansB. Native AmericansC. ChineseD. Puerto Ricans URGENT I NEED THIS DONE PLEASE ILL GIVE THE FIRST ANSWER BRAINLIEST Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area. Charles's work: A = ((x + 4) + (x + 2))x A = (2x + 6)x A = (x + 3)x A = x2 + 3x Which expression can be used to represent the volume of the trapezoidal prism? A. 2x3 + 6x2 B. x3 + 6x2 C. x3 + 3x2 D. 2x3 + 3x2 Graph the line that passes through the points (4, 3) and (1,6) and determine the equation of the line. Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest Importance of freezing stem cells in South Africa? What shape will you get if you take a cross section of a square pyramid parallel to its base? ANSWERS: A rectangle A triangle A square A parallelogram The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded. Anoche, Carlos y Erica ___ que estudiar mucho Expenditures on a nation's domestic production Group of answer choices are less than its domestic production. are equal to its domestic production. are greater than its domestic production. could be less than, equal to, or greater than its domestic production. In your opinion, what was the greatest challenge facing the United States in the 1960s? How did it confront this challenge? The combination of the degree of complexity and the degree of change existing in an organization's external environment is/are called:________ a. strategic fit. b. strategic issues. c. scenarios. d. environmental uncertainty. e. strategic factors. During 2022, Sheridan Company entered into the following transactions. 1. Purchased equipment for $318,770 cash. 2. Issued common stock to investors for $139,050 cash. 3. Purchased inventory of $70,940 on account. Using the following tabular analysis, show the effect of each transaction on the accounting equation. (If a transaction causes a decrease in Assets, Liabilities or Stockholders' Equity, place a negative sign (or parentheses) in front of the amount entered for the particular Asset, Liability or Equity item that was reduced. See Illustration 3-4 for example.) What role to 'epigenetics' have to do in genetic expression? PLEASE HELP Prison M and pyramid N and have the same base area and the same height. Cylinder P and prism Q have the same height in the same base perimeter. Come Z has the same base area of cylinder y, but its height is three times the height of the cylinder y. The figures? And? Have the same volume In response to the economic crisis in 2008, President Merkel "highlighted in her speech what the German government has already done: a financial sector rescue package worth up to 500 billion, and a proposed stimulus package of tax breaks [on income] and spending measures aimed at triggering investments of up to 50 billion over the next two years." Which parts of the stimulus plan will increase labor supply?