Which of the following is a quadratic function

Which Of The Following Is A Quadratic Function

Answers

Answer 1

A quadratic a function has a form of,

[tex]f(x)=ax^2+bx+c,a\neq0[/tex]

The first function has a term [tex]x^3[/tex] which doesn't fit the profile of a quadratic function. The highest exponent on x inside a quadratic function can be 2, but here we have 3 so this is not a quadratic function, but rather a cubic function.

The second function fits the form of a quadratic function perfectly.

The third function is a bit tricky. While technically the third function could be considered quadratic if the leading term would be something like [tex]0x^2[/tex] and we did't even see it written out because multiplying with 0. But when we specified the form of a quadratic function, we strictly said that the number before [tex]x^2[/tex] aka [tex]a[/tex] cannot equal to zero. So the last function is not a quadratic function but rather a linear function.

Hope this helps :)

Answer 2

Step-by-step explanation:

f(x) = 4x² + x - 3

[tex]f(x) = 4x {}^{2} + 3 - 2[/tex]

r3t40 is correct


Related Questions

Camille is attending a fundraiser. She pays for her admission and buys raffle tickets for $5dollar each. If she buys 10 raffle tickets, then she would spend a total of $135 at the fundraiser.
The number S of dollars Camille spends at the fundraiser is a function of r, the number of raffle tickets she buys.
Write the function's formula.

Answers

Answer:

50r + a = 135

Admission cost was $85

Step-by-step explanation:

We are missing a crucial amount of information here. It is how much she spent on her admission. We can create an equation symbolizing this problem.

5r + a = 135

We know that she purchases 10 tickets so we can substitute that in r and solve for a.

50 + a = 135

a = 85

Best of Luck!

I need help with this​

Answers

Answer: 13.5 Okay! Here's the method count the legs of the right triangle

The formula we'll use will be

A^2 + B^2 = C^2

In this case we're counting by twos

The base is 11 so we times it by itself =110

The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----

182.25

Then you have got ur answer of 13.5

Step-by-step explanation:

Please answer this question. Will give brainiest fast

Answers

Answer: The answer is C the one you chose

A cone has a volume of 4000cm3

. Determine the height of the cone if the diameter of the cone

is 30 cm. ​

Answers

Answer:

17cm

Step-by-step explanation:

Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .

Diagram :-

[tex]\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(17.5,1.6){\sf{15cm }}\put(9.5,10){\sf{17\ cm }}\end{picture} [/tex]

Step 1: Using the formula of cone :-

The volume of cone is ,

[tex]\rm\implies Volume_{(cone)}=\dfrac{1}{3}\pi r^2h [/tex]

Step 2: Substitute the respective value :-

[tex]\rm\implies 4000cm^3 =\dfrac{1}{3}(3.14) ( h ) \bigg(\dfrac{30cm}{2}\bigg)^2 [/tex]

As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .

Step 3: Simplify the RHS :-

[tex]\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) (15cm)^2\\ [/tex]

[tex]\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) 225cm^2\\ [/tex]

Step 4: Move all the constant nos. to one side

[tex]\rm\implies h =\dfrac{ 4000 \times 3}{ (3.14 )(225 )} cm \\[/tex]

[tex]\implies \boxed{\blue{\rm Height_{(cone)}= 16.98 \approx 17 cm }}[/tex]

Hence the height of the cone is 17cm .

Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? ​please give answer in step by step explaination​

Answers

Ravi earns per month=Rs4300Spends=80%

Saving percentage=100-80=20%

Saving amount:-

[tex]\\ \sf\longmapsto 4300\times 20\%[/tex]

[tex]\\ \sf\longmapsto 4300\times \dfrac{20}{100}[/tex]

[tex]\\ \sf\longmapsto 43\times 20[/tex]

[tex]\\ \sf\longmapsto 860[/tex]

saving per year=Saving per month×12

[tex]\\ \sf\longmapsto 12\times 860[/tex]

[tex]\\ \sf\longmapsto Rs10320[/tex]

Step-by-step explanation:

i think this will be help you

gegygwugduwbudbwbdubwudbuwh7fh7whf8hw8hf8hw8hf8e​

Answers

Answer:

yes

Step-by-step explanation:

grehrehshbrenjt5rahtrere

Badabeep bop when the beat drop

What would you do to isolate the variable in the equation below, using only one
step?
X + 9 = - 12
O Subtract 9 from both sides of the equation.
O Add 9 to both sides of the equation.
का
O Subtract 12 from both sides of the equation.
O Add 12 to both sides of the equation.

Answers

subtract 9 from both sides of the equation

Answer:

O Subtract 9 from both sides of the equation.

Step-by-step explanation:

Notice that on the left hand side of the equation, you have two parts: X and 9. The variable is X, so we must do something to the 9 to remove it. Remember that we can cancel things by adding the negative of it. For example, 47+(-47)=0. Therefore, the opposite of 9 is -9. That essentially means subtracting 9.

Absolute Value Equations

Answers

Answer:

4 is E, 5 is A

Step-by-step explanation:

4) Divide both sides by 5 to get |2x + 1| = 11, then solve for x to get 5 and -6.

5) Add 7 to both sides to get ½|4x - 8| = 10. Multiply both sides by 2 to get |4x - 8| = 20, then solve for x to get 7 and -3.

Q is equidistant from the sides of TSR. Find the value of x.
T
(2x + 240°
30°
S
R

Answers

Lets do

[tex]\\ \sf\longmapsto 2x + 24 = 30 \\ \\ \sf\longmapsto 2x = 30 - 24 \\ \\ \sf\longmapsto 2x = 6 \\ \\ \sf\longmapsto x = \frac{6}{2} \\ \\ \sf\longmapsto x = 3[/tex]


In triangleABC, AC = 15 centimeters, m

Answers

Answer:

16.17 cm

Step-by-step explanation:

The solution triangle attached below :

To obtain BC ; we use the sine rule ;

a/ sin A = b / sin B

A = (180 - (68 + 24))

A = 180 - 92

A = 88°

a / Sin 88 = 15 / sin 68

Cross multiply :

(a * sin 68) = (15 * sin 88)

a = 14.990862 / sin 68

a = 16.168165

a = 16.168 cm

the expectation students often have when doing the coin flip experiment is that thye will flip exactly 5 heads and 5 tails because there is 50% chance of flipping each. Is this a realistic expectation

Answers

Answer:

No

Explanation:

A coin which has a head and a tail has 1/2 probability of each which is a 50% chance of getting either a head or a tail. This means that given two sides of a coin, probability looks at the number of favorable outcomes and total number of outcomes, a formula that reflects a pattern seen in past experiences. Probability isn't absolute but relative. When we say there is a 50% chance of getting a head in a coin flip, it is relative to past experiences but doesn't assure of particular future occurrences regarding the coin flip.

if the r-value, or correlation coefficient, of a data set is 0.941, what is the coefficient of determination

Answers

Answer:0.824

Step-by-step explanation:

The coefficient of determination is approximately 0.885 or 88.5%.

What is the correlation coefficient?

A correlation coefficient (r) is a number between -1 and 1 that measures the strength and direction of a linear relationship between two variables.

The coefficient of determination (R-squared) is equal to the square of the correlation coefficient (r).

Therefore, to find the coefficient of determination with an r-value of 0.941, we can simply square it:

R-squared = r² = 0.941² = 0.885481

Thus, the coefficient of determination is approximately 0.885 or 88.5%.

This means that 88.5% of the variation in the dependent variable can be explained by the independent variable(s) in the data set.

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Select the correct answer.
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake,
M= log (I/I)
.Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake?

Answers

Answer:

[tex]M = \log(10000)[/tex]

Step-by-step explanation:

Given

[tex]M = \log(\frac{I}{I_o})[/tex]

[tex]I = 10000I_o[/tex] ---- intensity is 10000 times reference earthquake

Required

The resulting equation

We have:

[tex]M = \log(\frac{I}{I_o})[/tex]

Substitute the right values

[tex]M = \log(\frac{10000I_o}{I_o})[/tex]

[tex]M = \log(10000)[/tex]

The equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Since the magnitude of an earthquake on the Richter sscale is M = ㏒(I/I₀) where

I = intensity of eartquake and I₀ = reference earthquake intensity.

Since we require the magnitude when the intensity is 10,000 times the reference intensity, we have that I = 10000I₀.

Magnitude of earthquake

So, substituting these into the equation for M, we have

M = ㏒(I/I₀)

M = ㏒(10000I₀./I₀)

M = ㏒10000

So, the equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Learn more about magnitude of an earthquake here:

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1. What kind of special angle pair do the 2
angles make? (corresponding,
supplementary, or vertical)

Answers

Answer:

supplementary angle is whose is mesure is 180

HELP FAST PLEASE!!!!!! Name the marked angle in 2 different ways.

Answers

Answer:

you forgot to add an image I dont know what angles your talking about

The gradient of a straight line passes through points (6,0) and (0,q) is -3/2. Find the value of q​

Answers

Answer:

Step-by-step explanation:

gradient is essentially the slope of a straight line.  

Use (y2-y1)/(x2-x1):

(q-0)/(0-6) = -3/2

q = 9

Refer to the picture above

Answers

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

[tex]2\pi r[/tex] = Circumference.

[tex]2 * \pi * 6[/tex] = [tex]12\pi[/tex]

Find the ratio of the angle in relation to the entire circle:

[tex]30^o[/tex] is what we have. So:

[tex]\frac{30^o}{360^o} = \frac{1}{12}[/tex]

Use the ratio and multiply the circumference to find the length:

[tex]12\pi * \frac{1}{12}[/tex] = [tex]\pi[/tex]

Round answer to the hundredth:

[tex]\pi = 3.14[/tex]

Yes the answer is 3.14

Which table has a constant of proportionality between y and x equal to 0.3?

Answers

Answer:

C

Step-by-step explanation:

you can divide y/x

1.2/4= 0.3

2.4/8= 0.3

3.9/13= 0.3

The following data show the number of candies in 15 different bags.
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48

Answers

Answer:

How should we proceed with this question

ng and
Segme
се
ne Ruler Postulate to find segment lengths.
e the Segment Addition Postulate to find segm
copy segments and compare segments for cong
find the length indicated.

1.
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20
T.
U
V
93

Answers

trả :lờingu

Step-by-step explanation:


Devaughn is 10 years older than Sydney. The sum of their ages is 104. What is Sydney's age?
I​

Answers

Answer:

Sydney's age = 42

Step-by-step explanation:

104 divided by 2 = 52

52 - 10 = 42

I am sorry if this is wrong. But this is what I learned at my school.

Write the equation of the line for the graph shown below, please

Answers

Answer:

Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4

Step-by-step explanation:

To evaluate such, a comprehension of linear Cartesian planes are obligated:

Slopes = rise/run

X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.

Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.

Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.

Y- intercept: (4,0)

Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.

*I hope this helps.

For this question it’s asking for it in slope intercept form. So all you need to find is the slope and the y intercept.To find the y int look at where the line passes y. In this case it is y=4, then find slope by finding change in y/ change once which is 1/2, so you get y=1/2x+4

-Ba+9=Q²a solve for a

Answers

Answer:

[tex]a= \frac{9}{B+Q^2}[/tex]

Step-by-step explanation:

Given;

-Ba+9=Q²a

To solve for "a", make "a" the subject of the formula.

First, collect similar terms together;

-Ba - Q²a = -9

multiply through by "-1" to remove the negative sign;

Ba + Q²a = 9

factor out a;

a(B + Q²) = 9

divide both sides of the equation by "(B + Q²) ";

[tex]\frac{a(B+Q^2)}{B+Q^2} = \frac{9}{B+Q^2} \\\\a = \frac{9}{B+Q^2}[/tex]

Therefore, the value of "a" in the given expression is [tex]\frac{9}{B+Q^2}[/tex]

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
PLS HELP IM TIMED

Answers

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer. A(2, 3) B(-1, 4) C(0, 2) D(-3, 3)

Answers

Answer:

The quadrilateral is a parallelogram

Step-by-step explanation:

If you plot the points on the graph it resembles the shape of a parallelogram. It prove this you need to check if the lengths are correct. The slope between point A and point B is 1/3 and the slope between point C and point D is also 1.3. The slope between point B and D is 1/2 and the slope between point A and point C is also 1/2

hope this helps

The quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

What is a parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

For the given situation,

The coordinates are A(2, 3) B(-1, 4) C(0, 2) D(-3, 3).

The graph below shows these points on the coordinates and the points ABDC forms the parallelogram.

This can be proved by finding the distance between these points.

The formula of distance between two points is

[tex]AB=\sqrt{(x2-x1)^{2}+ (y2-y1)^{2}}[/tex]

Distance AB is

⇒ [tex]AB=\sqrt{(-1-2)^{2}+ (4-3)^{2}}[/tex]

⇒ [tex]AB=\sqrt{(-3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]AB=\sqrt{9+ 1}[/tex]

⇒ [tex]AB=\sqrt{10}[/tex]

Distance BD is

⇒ [tex]BD=\sqrt{(-3+1)^{2}+ (3-4)^{2}}[/tex]

⇒ [tex]BD=\sqrt{(-2)^{2}+ (-1)^{2}}[/tex]

⇒ [tex]BD=\sqrt{4+ 1}[/tex]

⇒ [tex]BD=\sqrt{5}[/tex]

Distance DC is

⇒ [tex]DC=\sqrt{(0+3)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]DC=\sqrt{(3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]DC=\sqrt{9+ 1}[/tex]

⇒ [tex]DC=\sqrt{10}[/tex]

Distance CA is

⇒ [tex]CA=\sqrt{(2-0)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]CA=\sqrt{(2)^{2}+ (1)^{2}}[/tex]

⇒ [tex]CA=\sqrt{4+ 1}[/tex]

⇒ [tex]CA=\sqrt{5}[/tex]

Thus the lengths of the opposite sides are equal, the given points forms the parallelogram.

Hence we can conclude that the quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

Learn more about parallelogram here

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What are the coordinates A’ after 90 counterclockwise rotation about the origin.

Answers

Answer:

the above is the answer

hope this is helpful

Tom and Carl start 200 miles apart, running towards each other. Tom runs 5 miles per hour faster than Carl. If they meet after 10 hours, how fast are they running?

Answers

Answer:

12.5 mph and 7.5 mph

Step-by-step explanation:

Tom's speed = xCarl's speed = y

We have:

x = y + 5(x + y)*10 = 200

Substitute x and solve for y:

(y + y + 5)*10 = 2002y + 5 = 202y = 15y = 7.5

Find x:

x = 7.5 + 5 = 12.5

Tom's speed is 12.5 mph

Carl's speed is 7.5 mph

Toms speed be a and Carl's speed be b

Now

a=b+510(a+b)=200

From eq(2)

a+b=20

From eq(1)

a-b=5

Adding these recent two

2a=25a=12.5mph

Putting in eq(1)

b=a-5b=12.5-5b=7.5mph

Write a linear equation in point slope form with the given slope of 1/4 and passing through the point (8,-3)

Answers

Answer:

The equation is

y=1/4x-3

Answer:

y = 1/4x - 5

Step-by-step explanation:

If gradient or slope (m) equal to 1/4

then y - y¹ = m( x - x¹) ..........(1)

where the line happen to be passing through the point given above

therefore let x¹ be 8.........(2)

and y¹ be -3...............(3)

substitute (3) and (2) into (1)

we have y -(-3) = 1/4 (x - 8)

so 4(y+3)= (x-8)

4y = x - 8 - 12

therefore y = 1/4x - 5

If you have a right triangle with legs a =6 and b= 8, what is the value of the hypotenuse? show work.

Answers

Answer:

10

Step-by-step explanation:

1. [tex]6^{2} + 8^{2} = c^{2}[/tex]

2 [tex]100 = c^{2}[/tex]

3. c = 10

please answer quickly!! and no links please!

Answers

Step-by-step explanation:

here are the answers for your problems

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