please answer!!

Use the parabola tool to graph the quadratic function.

f(x)=3x^2+6x−24

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Please Answer!! Use The Parabola Tool To Graph The Quadratic Function.f(x)=3x^2+6x24Graph The Parabola

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

[tex]f(x)=3x^2+6x-24\\\\f(x)=3(x^2+2x-8)\\\\f(x)+3(9)=3(x^2+2x-8+9)\\\\f(x)+27=3(x^2+2x+1)\\\\f(x)=3(x+1)^2-27[/tex]

Here, we can see that the vertex of the parabola is [tex](-1,-27)[/tex] when we compare to the equation [tex]y=(x-h)^2+k[/tex] with vertex [tex](h,k)[/tex].

A second point you could plot is the y-intercept, when [tex]x=0[/tex]:

[tex]f(0)=3(0+1)^2-27\\\\f(0)=3-27\\\\f(0)=-24[/tex]

So, your y-intercept is [tex](0,-24)[/tex].


Related Questions

There are 1,486 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?

Answers

Answer:  93 boxes will be needed

Step-by-step explanation:

     If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.

1,486 / 16 = 92.875

    We will assume you cannot have 0.875 of a box, so we will round up to:

              93 boxes will be needed

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Can anyone help? 80 points!

Answers

Answer:

D) [tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Step-by-step explanation:

Given expression:

[tex](8x^4y^5)^{\frac{2}{3}[/tex]

Simplify in steps, using below properties of exponents:

[tex]a^ba^c= a^{b+c}[/tex]       Product of Powers Property[tex](a^b)^c=a^{bc}[/tex]        Power of Power Property

Solution:

[tex](8x^4y^5)^{\frac{2}{3} =[/tex][tex](2^3x^4y^5)^{\frac{2}{3} =[/tex][tex]2^{\frac{3*2}{3}} x^{\frac{4*2}{3}} y^{\frac{5*2}{3}} =[/tex][tex]2^2x^{\frac{8}{3}}y^{\frac{10}{3} =[/tex][tex]4x^{2\frac{2}{3}}y^{3{\frac{1}{3} =[/tex][tex]4x^2x^{\frac{2}{3}} y^3y^{\frac{1}{3}} =[/tex][tex]4x^2y^3(x^2y)^{\frac{1}{3}}=[/tex][tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Correct choice is D

Answer:

[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]

Rewrite 4 as (3 + 1) and 5 as (3 + 2):

[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]

[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]

Rewrite 4/3 as 1 + 1/3:

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]

[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]

[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]

[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]

[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]

Northlake High School has two lunch periods. Students can eat their lunch in
the cafeteria or on an outside patio. About 35% of students who have first
lunch eat outside. Compare this with the percentage of second-lunch
students who eat outside.

Answers

Answer:

Based on the data given on Northlake High School, we can infer that B. A greater percentage of second-lunch students (39%) eat outside.

What does the data on the First and Second lunches show?

The percentage of second-lunch students who eat outside is:

= Second lunch students who eat outside / Second lunch students

Solving gives:

= 0.18 / 0.46 x 100%

= 0.3913 x 100%

= 39%

This shows that the percentage of students eating their second lunch outside is 39%.

so the answer is B

Step-by-step explanation:

Given the table, write an equation in slope-intercept form.

Answers

Answer:

If you plot points accordingly to the points on the table, Option A. is correct.

If you walk 6 blocks east, 2 blocks north, 3 blocks west and 4 blocks south, then what is the total distance you travel?

Answers

Answer:

6 + 2 + 3 + 4 = 15

so 15 blocks

a block is about 0.05 miles

so 15 blocks in miles is 0.75 miles

0.75 or 3/4 miles = 1320 yards

Find the surface area of the prism //Please answer//

Answers

Answer:

358in²

Step-by-step explanation:

9 × 11 = Area of Face One = 99in²

99 × 2 = Face One + Face One on the opposite side = 198in²

4 × 11 = Area of Face Two = 44in²

44 × 2 = Face Two + Face Two on the opposite side = 88in²

9 × 4 = Area of Face Three = 36in²

36 × 2 = Area of Face Three + Face Three on the opposite side = 72in²

Total Surface Area = 198 + 88 + 72 = 358in²

Can someone help me with this question ?

Answers

Answer:

it is median

Step-by-step explanation:

because it have number in alphabetic order

Write this percentage as a fraction in its simplest form. 96 %
(pls)

Answers

Answer:

24/25

Step-by-step explanation:

96%=0.96. 96/100=48/50=24/25

2+7x1232 = what pls help its matth

Answers

Answer:

8626

Step-by-step explanation:

use a calculator in instead of here this was a EZ question but thanks for the points and if you have a harder question i'll be waiting

Answer: 8,626

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplication

Division

Addition  

Subtraction

Multiplication comes first:

2+ (7x1232)

Next, addition:

2+8624

8626

Hope this helps :)) Brainliest would be appreciated :D

help me, please ist question 1

Answers

Volume=432 because 8x6x9=432 just multiply the numbers together

Answer:

432

Step-by-step explanation:

To find the volume of a rectangular prism  you multiply, L × W × H

    L = 6     W = 8    H =9  you plug that in  6 × 8 × 9= 432

  

     so the volume is 432in²

You are a pharmacy technician at costco. you are responsible for filling prescriptions for patients
that are ordered by the doctors.
you are looking over a pharmacy order. a doctor ordered 180 ml of prednisone 2 mg/1ml. you
checked, and do not have 180 ml of prednisone 2 mg/1ml. at the moment, you only have 10 mg
tablets in stock and cherry syrup.
you want to make this order for the patient, and in order to do this, you need to calculate how
many 10 mg tablets you will need to mix cherry syrup, in order to create 180 ml of 2mg/1ml.
now, just to make sure you understand the metric system well, can you describe what ml
measures and how it compares to the base unit? what does mg compare and how does it
compare to the base unit?

Answers

Answer:

  36 tablets

Step-by-step explanation:

We are asked to find the number of tablets of a particular mass that are required to give a specific mass-to-volume ratio for a given volume of solution. The units used are all SI (metric) units.

__

metric units

The International System of units (abbreviated SI in all languages) defines seven base units and a number of derived units. The base unit for length is the meter. For mass, the base unit is the kilogram. The derived unit for volume is the liter, which is 1/1000 of a cubic meter.

Currently, there are 20 prefixes defined that signify powers of 10 ranging from 10^-24 to 10^24. These are used in front of the abbreviations for units. Useful here are the prefixes kilo- and milli-, standing for 10^3 and 10^-3, respectively. The relevant abbreviations are ...

m - meterg - graml or L - liter (often L is used in order to avoid confusion)k - kilom - milli

In this problem, the volume of syrup used is 180 ml, or 180×10^-3 liters. The mass of medicine in one tablet is 10 mg, or 10×10^-3 grams.

__

mass of medicine

We desire a solution with a concentration of 2 mg/ml. We want 180 ml of the solution, so the mass of medicine that needs to be incorporated is ...

  (180 ml)×(2 mg/ml) = 360 mg

number of tablets

Each tablet supplies 10 mg of medicine. To get 360 mg of medicine, we need n tablets, such that ...

  n(10 mg) = 360 mg

  n = (360 mg)/(10 mg) = 36 . . . . tablets

36 tablets of 10 mg each are needed to mix with 180 ml of syrup to give 2 mg/ml.

As the sample size increases, the margin of error _____.

Answers

As the sample size increases, the margin of error decreases.

What is margin of error?

A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.

From the formula:

MOE = z × √σ²/n

Where

σ = standard deviation

z = quantile

n = sample size

MOE = margin of error

From the formula, sample size is inversely proportional to the margin of error.

Hence, as the sample size increases, the margin of error decreases.

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B
ED
E D
B
C
B
m
A
DE
Which rule describes the composition of
transformations that maps figure ABCDE to figure
A"B"CD"E"?
ORC.900 orm
OroRC.900
ORc1800 or
OroRC.1800

Answers

Answer: [tex]R_{C, 180^{\circ}} \circ r_{m}[/tex]

Step-by-step explanation:

The sequence is a reflection over line m followed by a rotation 180 degrees about point C.

Among all the options give the last option that is,

⇒ r m0 Rc180° , is the right answer.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Now, In the given figure ABCDE is transformed to figure A”B”C”D”E.

Hence, When a figure is reflected along a line  the reflected image is at the same distance to the line as the original figure was.

The figure ABCDE is first reflected through the line m to get the figure A'B'C'D'E'.

When a figure is rotated by 180 degrees the x and y coordinates change its place and y sign is reversed.

A'B'C'D'E' is  rotated by 180 degrees to come to figure A"B"C"D"E".

Hence, Among all the options give the last option that is,

⇒ r m0 Rc180° , is the right answer.

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Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.

So, the probability of getting two yellows is 1/3

Do you agree or disagree? Explain your thinking.

Answers

Answer:

I disagree.

Step-by-step explanation:

The reasoning may be wrong but I believe it is disagree.

I am going to keep it simple.

On the spinner there are 4 options, 3 for red and 1 for yellow.

Therefore, we have a 1/4 chance to get a yellow once.

If we get a yellow again, it is another. 1/4 chance.

1/4 x 1/4 is 1/16, considerably smaller than 1/3.

Answer:

From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore,

[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]

[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]

Multiplication Rule for Independent Events

For independent events A and B:

[tex]\sf P(A\:and\:B)=P(A) \times P(B)[/tex]

Therefore,

[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]

Conclusion

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

Select the correct answer. what is the approximate solution to this equation? a. b. c. d.

Answers

The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

Solving equations

From the question, we are to determine the approximate solution to the given equation,

The given equation is

[tex]4lnx -8 =12[/tex]

First, add 8 to both sides

[tex]4lnx -8+8 =12+8[/tex]

[tex]4lnx =20[/tex]

Now, divide both sides by 4

[tex]ln x =\frac{20}{4}[/tex]

[tex]ln x = 5[/tex]

Take the exponents of both sides

[tex]e^{lnx} = e^{5}[/tex]

x = 148.413

x ≅ 148.4

Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4

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anyone know the answer?​

Answers

Answer:

I think it could be A

Step-by-step explanation:

Not 100% sure tho

Give the prime factorization of 28.

Answers

2x2x7 is the answer you want

Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they will win (use equivalent ratios)

Answers

The number of games Ben predict Orioles will win this year is 64 games

How to find percentage?

Percentage of games Ben believe the orioles will win = 40%Number of games Orioles played = 160

Number of games Ben predict they will win = 40% of 160

= 40/100 × 160

= 0.4 × 160

= 64

Therefore, the total number of games Ben predict they will win is 64 games

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Which of the following is equal to 9•4

Answers

The answer to the questing is 36

Please help , giving brainliest .

Answers

Answer:

363.22

Step-by-step explanation:

Method 1:

You could find the whole figure surface area than divided by 1/2

Method 2: (the one I'm going to personally be doing)

Break the figure into two rectangular figures

Formula for surface area of rectangular prism:

A = 2(width x length + height x length + height x width)

Figure 1:

A = 2(width x length + height x length + height x width)

height = 3.8 yd

length = 10.1 yd

width = 4.3 yd

A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))

A = 2(98.15)

A = 196.3

Figure 2:

A = 2(width x length + height x length + height x width)

height = 8.4 yd

length = 10.1 yd

width = 2 yd

A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))

A = 2(121.84)

A = 243.68

There is overlapping surface area that shouldnt be include so we need to subtract it...

For one face of figure 1

3.8 x 10.1 = 38.38

Total:

Figure 1 + Figure 2 - 2(one face)

196.3 - 38.38 = 157.92

243.68 - 38.38 = 205.3

205.3 + 157.92 = 363.22

What is the end behavior of the function f(x)=−1/4x^2?

Answers

Answer:

As x approaches infinity, f(x) approaches negative infinity

As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation:

Because the function goes in the downward direction on both sides, it would be negative infinity for both.

It's basically saying, as the x values go towards the positives, the y values go towards the negatives

and as the x values go towards the negatives, the y values go towards the negatives.

Which expression is equivalent to 12b + 3a? choices: a (a + b) x 12 b 3 (4b + a) c ab x 12 x 3 d (12 x 3) + (b x a)

Answers

Answer:

The answer to the equation is B.

Step-by-step explanation:

Answer:

i took the test and its B

Step-by-step explanation:

A population of aardvarks is growing at a rate of 2% per year. This year there are 714 aardvarks. How many aardvarks were there last year

Answers

A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the amount of aardvarks after x years.

It can be represented by the equation:

y = a(1.02)ˣ

If this year there are 714 aardvarks, the amount in the last year is:

714 = a(1.02¹)

a = 700

A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.

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Please help me this is my last question this one is worth big points for me

Answers

Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50

Step-by-step explanation:

Hope this helps

:3 have an amazing day or a beautiful day:)

Solve for x. Round to nearest tenth

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Image above

Answers

Answer:

x ≈ 4.4

Step-by-step explanation:

using the tangent ratio in the right triangle

tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{UV}{VW}[/tex] = [tex]\frac{4.1}{x}[/tex] ( multiply both sides by x )

x × tan43° = 4.1 ( divide both sides by tan43° )

x = [tex]\frac{4.1}{tan43}[/tex] ≈ 4.4 ( to the nearest tenth )

The value of x, Round to nearest tenth is,

⇒ x = 4.4 units

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A triangle is shown in image.

Now, We can formulate;

tan 43° = Opposite / Base

⇒ tan 43° = 4.1 / x

⇒ 0.932 = 4.1 / x

⇒ x = 4.1 / 0.932

⇒ x = 4.39

⇒ x = 4.4 units

Thus, The value of x, Round to nearest tenth is,

⇒ x = 4.4 units

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i need help on this hegarty question i have been stuck on for hours

Answers

The difference of the two numbers in scientific form is:

[tex]493*10^{-9} = 0.00000493[/tex]

How to solve the difference?

Here we want to solve:

[tex](5*10^{-7}}) - (7*10^{-9})[/tex]

To solve this, we should have the same exponent in both sides, to get that, we can rewrite the first number as:

[tex]5*10^{-7} = 500*10^{-9}[/tex]

Replacing that, we will get:

[tex](500*10^{-9}) - (7*10^{-9}}) = 493*10^{-9}[/tex]

To write it in standard form, we need to move the decimal point 9 times to the left, so we get:

[tex]493*10^{-9} = 0.00000493[/tex]

The difference is equal to 0.00000493.

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The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 4 feet tall and 6 feet wide

Answers

The Pythagorean theorem also known as the Pythagoras' theorem, is the basic relationship between the three sides of a right triangle. The length of the diagonal of the screen is 7.211 ft.

What is Pythagoras theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the diagonal is 4 feet tall and 6 feet wide. Therefore, using the Pythagorean theorem, The length of the diagonal of the screen can be written as,

[tex]\text{Length of the diagonal} = \sqrt{4^2+6^2} = \sqrt{52} = 7.2111\rm\ ft[/tex]

Hence, the length of the diagonal of the screen is 7.211 ft.

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help please i need answers fast if you help or try to help tysm *hearts*

Answers

Answer:

C. 3rd one Fraction 10/24

Step-by-step explanation:

3/4 - 2/6 = 0.41 or = 10/24 or it could be equal to 5/12​ are 10/24, 15/36, 20/48 and 25/60 or as Decimal 0.41

Step-by-step explanation:

Hope This Helped

What does a negative AH₁ for a molecule mean?

Answers

Answer: C

Step-by-step explanation: I know it trust me

Using the Vertical Line Test
Which graph does not represent a function?

Answers

Using the Vertical Line Test, the graph does not represent a function is  ellipse, the third graph.

What is vertical line test?

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.

Any vertical line in the x y plane must intersect the graph of a function at most once.

In the given graphs, the graph of a function intersects the y axis twice. So, it is not a function.

From the given graphs, the third graph which is of ellipse crosses the vertical line twice.

Thus, the graph does not represent a function is ellipse.

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