Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Answers

Answer 1

Step-by-step explanation:

A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it.


Related Questions

answer the prompt (correct answer will get brainly)

Answers

Answer:

You need to have ur own opinion

Step-by-step explanation:

though i dont understand anything LOL

how many terms of the series 1+4+7........will add up to 425?

Answers

Answer:

17 terms

Step-by-step explanation:

Let the number of terms be n which will add up to 425.

So, 425=(n/2)*(2+(n-1)*3). 850=n*(3n-1), n=17 or - 50/3 but n can't be negative, so the answer is n=17

Find the missing value.
Hint: Use the number line to find the missing value.
4-
-2

出 Hy
15
-10
-5
-15
0
5
10

Answers

Answer:

6

I hope this helped

is {3,…} a defined set

Answers

Answer:

is infinite set... because dots meaning non stop

What is an example in your house of a point ?

Answers

Answer:

Step-by-step explanation:

Nothing. A point is dimensionless. Ugh what an awful LOL.

How about the tip of a candle that has never been lit?

Someone please help me Find 35% of 250

Answers

[tex]\\ \bull\sf\longmapsto 250\times 35\%[/tex]

[tex]\\ \bull\sf\longmapsto 250\times \dfrac{35}{100}[/tex]

[tex]\\ \bull\sf\longmapsto 5\times \dfrac{35}{2}[/tex]

[tex]\\ \bull\sf\longmapsto \dfrac{175}{2}[/tex]

[tex]\\ \bull\sf\longmapsto 87.5[/tex]

35% of 250

[tex]\bf \large \implies \: \frac{35}{100} \: \times \: 250 \\ [/tex]

[tex]\bf \large \implies \: \frac{35}{10 \cancel0} \: \times \: 25 \cancel0[/tex]

[tex]\bf \large \implies \: \frac { \cancel{35} \: \: ^{3.5} }{ \cancel{10}} \: \times \: 25[/tex]

[tex]\bf \large \implies \: 3.5 \: \times \: 25[/tex]

[tex]\bf \large \implies \: 87.5[/tex]

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

B

Step-by-step explanation:

Total surface area=Sum of all figure area

=380+928+380+608=2296

What is the behavior of the graph y=2x3+x2−7x−6 at each of its zeros

Answers

At the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.

The given polynomial expression:

y = 2x³ + x² - 7x - 6

The zeros of a polynomial equation are the values of x at which the given function equals zero.

The first zero of the given function is at x = 2;

f(2) = 2(2)³  + (2)²  - 7(2)  - 6

     = 16   +  4  - 14  - 6

     = 20   -    20  =  0

The second zero of the given function is at x = -1;

f(-1)  = 2(-1)³  + (-1)²   - 7(-1)   -   6

      = -2    +   1   +   7   -  6

      = - 8  +  8 =  0

The third zero of the given function is at x = -1.5;

f(-1.5)  = 2(-1.5)³   +  (-1.5)²   -  7(-1.5)   -  6

          = - 6.75    +  2.25   + 10.5    -  6

          = - 12.75  + 12.75  = 0

The zeros of the given function include;

----(-1.5)-------(-1)------------------------------(2)--------

Therefore, at the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.

To learn more about zeros of a function, please visit: https://brainly.com/question/12316127

Help me please i have no idea how to do this

Answers

For clearly look we can seperate the number parts and the letter parts because they are all “*” and “/“ caculation
Initial fraction: (20 * a^2 * b) / ( 5 * a * b^2) = (20 / 5) * (a^2 / a) * (b / b^2)

Result: (4*a) / (b) = (4*a) / (1*b) = (4/1) * (a/b)

As you can see the result is a fully simplifying form so just simplify any thing you can from initial fraction
20/5 = 4/1 (both nume and deno are divided by 5)
a^2 / a = a/1 (divided by a)
b / b^2 = 1/b (divided by b)
Multiply all above we get the result 4a/b (just for checking whether we did right or not)

Next, multiply all that we have divided in previous step: 5*a*b = 5ab
=> problem solved

Look at this cone:

,,

Answers

Slant height=l=3ftRadius=r=2ft

We know

[tex]\boxed{\sf \star TSA_{(Cone)}=\pi r(r+\ell)}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=2

\dfrac{22}{7}\times 2(2+3)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{44}{7}(5)[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=\dfrac{220}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(Old\:Cone)}=31.4ft^2[/tex]

Now

New slant height =2(3)=6cmNew radius=2(2)=4cm

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{22}{7}\times 4(4+6)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{88}{7}(10)[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=\dfrac{880}{7}[/tex]

[tex]\\ \sf\longmapsto TSA_{(New\:Cone)}=125.7cm^2[/tex]

So

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{125.7}{31.4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cone)}}{TSA_{(Old\:Cone)}}=\dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cone)}}:{TSA_{(Old\:Cone)}}=4:1}}}[/tex]

A medical school admissions officer was interested in whether there is a difference in MCAT test scores (the standardized test used for medical school admission) between (1) biological sciences majors, (2) social science majors and (3) math majors. The admissions officer randomly sampled 50 students from each of these majors who applied to medical school in 2014 and recorded their MCAT score. Here are the three sample standard deviations for the MCAT scores for the three groups (biological sciences majors, social sciences majors, math majors): Column Std. Head Biological Sciences 5.3115216 Social Sciences 6.1661669 Math 4.7821787 Based on this information, do the data meet the condition of equal population standard deviations for the use of the ANOVA? Yes, because 6.17 − 4.78 < 2. Yes, because 6.17/4.78 < 2. No, because the standard deviations are not equal.

Answers

Answer:

Yes, because 6.17/4.78 < 2

Step-by-step explanation:

To test for equal standard deviation ;

Condition is met if the ratio of the large sample standard deviation to the smaer sample standard deviation is less than 2

Sample standard deviation;

Sciences 6.1661669

Math 4.7821787

Biological Sciences 5.3115216

The largest sample standard deviation = 6.1661669

The smallest sample standard deviation = 4.7821787

F statistic = 6.1661669 / 4.7821787 = 1.2894053

F statistic < 2 ; Hence, condition for equal standard deviation is met.

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 11, 7, 3, ... This is_ sequence and the _ is equal to_​

Answers

the sequence is arithmetic because it's incrementing by a constant ratio of -4

The sequence 11,7,3,... is arithmetic because there is a constant increase of (-4)

Must click thanks and mark brainliest

Suppose average pizza delivery times are normally distributed with an unknown population mean and a population standard deviation of six minutes. A random sample of 28 pizza delivery restaurants is taken and has a sample mean delivery time of 36 minutes. Find a 90% confidence interval estimate for the population mean delivery time.

Answers

Answer:

90% confidence interval = (34.069,37.931)  

Step-by-step explanation:

90% 1.645

 Xbar / Point Est. 36

 µ 0

σ 6

n 28

Confidence Interval  

 (34.069,37.931)  

in triangle ABC the measure of angle A is 90. the length of AB is 1 unit the length of AC is 8 unit, find the legth of BC

Answers

Answer:

8.06

Step-by-step explanation:

by using pythagoras

BC^2=1^2+8^2

BC^2=1+64

BC^2=65

BC=√65

BC=8.06

Segment overline BD bisects angle ABC . Solve for Round to the nearest tenth, if necessary (Image not necessarily to scale.)

Answers

Answer:

Hello,

Answer 52/3

Step-by-step explanation:

using the theorem of the bissector :

[tex]\dfrac{x}{13} =\dfrac{20}{15 } \\\\x=\dfrac{20*13}{15} \\\\x=\dfrac{52}{3}[/tex]

The value of x to the nearest tenth is 18.5

Pythagoras theorem

To get the value of x, we first need to get the height of the triangle.

[tex]h^2=20^2-15^2\\h^2=400-225\\h^2=175\\h=13.23[/tex]

Next is to get the value of x

[tex]x^2=13^2+13.2^2\\x^2=343.24\\x=18.52[/tex]

Hence the value of x to the nearest tenth is 18.5

Learn more on pythagoras theorem: https://brainly.com/question/343682

1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg

Answers

Answer:

i) around 41.7 kg

ii) 72 books

Step-by-step explanation:

i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.

ii) use the same way as above.

PLS HELP ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!
Which of the following statements is true?
A. A data set will always have exactly one mode
B. A data set can have multiple modes
C. A data set will always have at least one mode
D. A data set will never have a mode

Answers

Answer:

Step-by-step explanation:

The mode is the most number of times a number appears in a set of data points.

If there is at least one entry in the data set, then there is at least 1 mode. You can have more than 1 mode.

3, 3, 3, 5, 6, 6,  6  has 2 modes. (3 and 6)

3 has 1 mode.

[  ] set has no modes because this is the empty set.

Conclusion

A is not true. See the example above

B is true. It can have more than 1 mode

C is true for everything but the empty set.

D is simply false.

I think you are intended to pick C, but B is also true. I can't give you just 1 answer. It is a faulty question.

A candybar box is in the shape of a triangular prism. the volume of the box is 1,200 cubic centimeters.

Part A; what is the height of the base. show your work.

Part B; What is the approximate amount of the cardboard used to make the candybox? Explain how you got your answer. ​

Answers

26cm is the height and 30cm is breath 46 cm is answer

The scores of players on a golf team are shown in the table. The team’s combined score was 0. What was Travis’s score?

Answers

Answer:here’s the table

Step-by-step explanation:

Celina -3

Jannie 3

Sami 1

Ted 4

Travis ??

Answer:

Step-by-step explanation:

-5

x+1=0
Giải hộ em với

Answers

Answer:

x = -1

Step-by-step explanation:

-Subtract 1 from both sides of the equation

x + 1 = 0

x + 1 - 1 = 0 - 1

-simplify

x = -1

The University of Detroit-Mercy is 3/4 miles from Dana's house. Marygrove College is 2/5 miles from her house. What is the difference in the two distances?​

Answers

Answer:

0.35 as a decimal and  7/20 as a fraction

Step-by-step explanation:

Maya express charges 15 dollar for each person and great holiday charges fixed 84dollar and extra 12 dollar for a person. If the total amount charged by each company is same find the number of people going on holiday

Answers

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Answer:

:>

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Convert 5π∕6 radians to degrees. Question 1 options: A) 25° B) 150° C) 150π° D) 1080°

Answers

Step-by-step explanation:

Hi there!

Given;

= 5(π\6)

We have;

π = 180°

Keeping value of π in the question;

= 5(180°/6)

= 5*30°

= 150°

Therefore, answer is option B.

Hope it helps!

the adjoining circle with O has a radius of 14cm ABCD is a square drawn inside the circle calculate the area of the shaded region plzz any help plzz​

Answers

Answer:

bro just make me the branilist

Solve the equation log10 (2m²+ 5m-2)=1​

Answers

One property of logarithms is that you can use the small number under the log and raise it by the number on the other side of the log. Once the number raised, the log will disappear. You can then solve like normal.

The value of m is -4 and 3/4.

What is logarithm?

In mathematics, the logarithm exists as the inverse function to exponentiation. That represents the logarithm of a provided number x exists the exponent to which another fixed number, the base b, must be raised, to produce that number x.

we know this logarithmic law :-

[tex]log_1_0P=x[/tex]

converted to indices :-

[tex]10^x=P[/tex]

therefore,

[tex]log_1_0(2m^{2} + 5m -2) = 10^{1}[/tex]

2m²+ 5m-2=0

2m²+8m-3m-12 =0

2m(m+4)-3(m+4) =0

(m+4) (2m-4) =0

m = -4 or m= 3/4

The value of m is -4 and 3/4.

To learn more about logarithm refer to:

https://brainly.com/question/12049968

#SPJ2

(4 - 5)^2 + ( 2 + 1)^2
——————————
( 4 + 2)^2

Simplify using the order of operation

Answers

Answer:

[tex] \frac{5}{18} = 0.27[/tex]

Step-by-step explanation:

[tex] \frac{(4 - 5)^{2} + {(2 + 1)}^{2} }{ {(4 + 2)}^{2} } [/tex]

[tex] = \frac{ {( - 1)}^{2} + {3}^{2} }{ {6}^{2} } [/tex]

[tex] = \frac{1 + 9}{36} [/tex]

[tex] = \frac{10}{36} [/tex]

[tex] = \frac{5}{18} [/tex]

= 0,27

Write the greatest and the least numbers formed by the digits 4, 2, 3, 5, 6 and add these numbers.




and those who will give it's correct answer I will make him /her brainlist​

Answers

Answer:

Greatest number is 65432

Lowest number is 23456

Step-by-step explanation:

[tex]65432+23456=88888[/tex]

Evaluate 29.4 - 33.85.(round to the hundredths place) -4.45 260.15 4.45 63.25

Answers

-4.45

Explanation:
Subtract 29.4 from 33.85. You get 4.45, but since 29.4 is less than 33.85, the answer becomes negative 4.45

Simplify the following without a calculator: (5)(6+4)

Answers

Answer:

your answer is 50 I hope it's helps you t

Answer:

50

Step-by-step explanation:

(5)(6+4)

5(6)+5(4)

30+20

50

THANK YOU

In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer.

Answers

Answer:

x = 53°

Step-by-step explanation:

The angle 115° and the angle formed by the sum of x+62° are external alternates angles, so it means they have the same measure, and you can find the value of x doing:

115°- 62° = 53°

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