Please help convert this from quadratic form to vertex form
Please show all steps thank you so much!!!

Please Help Convert This From Quadratic Form To Vertex Form Please Show All Steps Thank You So Much!!!

Answers

Answer 1
Answer:

[tex]y=3x^2+12x+11[/tex]

Step-by-step explanation:

To convert this equation into standard form simply expand the equation out using PEMDAS.

PEMDAS

To solve this question you must remember the order of PEMDAS

1) Parentheses

2) Exponents

3) Multiplication and Division

4) Addition and Subtraction

Expanding the Equation

Expand the binomial by raising (x+2) to the second power.

[tex]y=3(x^2+4x+4)-1[/tex]

Next, using the distributive property, distribute the 3.

[tex]y=3x^2+12x+12-1[/tex]

Then, combine like terms.

[tex]y=3x^2+12x+11[/tex]

Related Questions

jamie read an 80 page book in 2 hrs. how long would it take him to read a 100 page book?

Answers

Answer:

1.5 hours

Step-by-step explanation:

80 /120= 100/x

80x=12000

12000/80=150

150 minutes- 1.5 hours

Answer:

Around 2 hours and 50 minutes.

Solve

If Jamie can read an 80 page book in 2 hours, divide 100 by the time, 2 hours.

[tex]100 / 2 = 50[/tex]

Add that to the time, 2 hours.

[tex]= 2~hrs.~50~mins.[/tex]

Which expression is equivalent to m^2 - m - 12 ?

a) (m + 2)(m - 6)
b) (m - 3)(m + 4)
c) (m - 2)(m + 6)
d) (m + 3)(m - 4)

Answers

Answer: D-(m+3)x (m-4)
Explanation: m^2 is basically 1 and -m is -1 while the -12 stays the same. Honestly don’t know how to explain it.

At Freddy’s fro yo shop 25 percent of the 44 frozen yogurt flavors are sugar free how many frozen yogurt flavors are sugar free

Answers

25%of44=11 .so 11 frozen yogurt flavours are sugar free

The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it. If there are 8 dolls in the collection, which is closest to the combined height of the dolls?
A. 1.5 meters
B. 2 meters
c. 3.1 meters
D. 4 meters

Answers

Answer:

the answer is a for approval

HELP PLEASE! The perimeter is 22. How much bigger is the longest side than the shortest side?
I asked this question two hours ago, and since then, I haven't recived any help. I don't mean to sound demanding and I understand that there are millions of users here, but it seems it's been a while since someone's answered this, and I can't figure it out.

Answers

Answer:

[tex]\frac{52}{7}[/tex] [tex]units[/tex]

Step-by-step explanation:

Add up all the sides.

(2a - 3) + (3a + 1) + 2a = 7a - 2

Lets set it equal to 22 since it is the perimeter

7a - 2 = 22

add 2 both sides

7a = 24

a = [tex]\frac{24}{7}[/tex]

From the image, you can tell that 2a -  3 is the shortest side and 3a + 1 is the longest side.

(3a + 1) - (2a - 3)

Substitute [tex]\frac{24}{7}[/tex] in for a.

You should be able to get [tex]\frac{52}{7}[/tex]  units.

The diagram shows the locations of the sun, Earth, and the moon. Which of these is possible only when the sun, Earth, and the moon are aligned as shown?

Answers

Answer:

It will experience a low tide because water is drawn away from the area between the high tides.

Explanation:

The oceans on earth bulge outwards towards the sun and moon due to gravitational pull. This building is highest when the moon and sun are in line (same plane). The coastline within this plane will experience high tides while those at the right angle will have the lowest tides.  

Please help I need this! Pls!!

Answers

Answer:

Step-by-step explanation:

To find how many it is greater, divide the size of the largest email by the smallest email and both should in bytes. So, convert megabytes and kilo bytes to bytes.

4 kilo bytes = 4* 10³ bytes

8 megabytes = 8 * 10⁶ bytes

[tex]\sf \dfrac{8*10^6}{4*10^3}= 2 *10^{(6-3)}[/tex]

           [tex]= 2*10^{3}\\\\= 2*1000\\\\= 2000[/tex]

Hint:

[tex]\boxed{\dfrac{a^{m}}{a^n}=a^{m-n}}[/tex]

Help me guys!

Show that the locus of the middle points of normal chords of the parabola y² = 4ax is
y⁴ - 2a(x - 2a)y² + 8a⁴=0​

Answers

Chord of Contact:-

The chord joining the points of contact of two tangents drawn from an external point to a parabola is known as the chord of contact of tangents drawn from external point.

Equation of the normal chord at any point (at², 2at) of the parabola y² = 4ax is

y + tx = 2at + at³ ....(i)

Look at the attached figure

But if M (x₁, y₁) be it's middle point its equation must be also,

T = S₁

:⟹ yy₁ - 2a (x + x₁) = y₁² - 4ax₁

:⟹ yy₁ - 2ax = y₁² - 2ax₁ .....(ii)

Therefore, from eqs. (i) and (ii) are identical, comparing, them

[tex] \sf \frac{1}{y_1} = \frac{t}{ - 2a} = \frac{2at + {at}^{3} }{ {y_1}^{2} - 2ax} \\ \\ \sf \: from \: first \: two \: relations \: ,t = - \frac{2a}{y_1} ....(iii)\\ \\ \sf \: from \: first \: two \: relations \: , \: \frac{t}{ - 2a} = \frac{2at + {at}^{3} }{{y_1}^{2} - 2ax_1} [/tex]

[tex] \implies \sf \: \frac{{y_1}^{2} - 2ax_1}{ - 2a} = 2a + {at}^{2} \: \\ \\ \implies \sf \: \frac{{y_1}^{2} - 2ax_1}{ - 2a} = 2a + a \bigg \lgroup \frac{ - 2a}{y_1} { \bigg \rgroup}^{2} \qquad\{ \: from \: eqs. \: (iii) \} \\ \\ \implies \sf \:\frac{{y_1}^{2} - 2ax_1}{ - 2a} = \frac{2a{y_1}^{2} + 4 {a}^{3} }{{y_1}^{2}} \\ \\ \implies \sf \: {y_1}^{4} - 2ax_1 {y_1}^{2} = - 4 {a}^{2} {y_1}^{2} - 8 {a}^{4} \\ \\ \implies \sf \: {y_1}^{4} - 2a(x_1 - 2a){y_1}^{2} + 8 {a}^{4} = 0[/tex]

[tex] \sf hence, \: the \: locus \: of \: middle \: point \: (x_1,y_1) \: is \: \\ \\ \qquad \qquad \: \sf \: {y_1}^{4} - 2a(x_1 - 2a){y_1}^{2} + 8 {a}^{4} = 0[/tex]

x over 4 space equals space 6 over 8 ; x=

Answers

Answer: x=3

Step-by-step explanation: This is a porportion, meaning that the numbers are set equal to each other. Look at your denominators, 4 and 8? What do they have in common? In this case, they have a factor of 2 in common, and 8 is 4x2. So then we look at the numerators now. What times 2 equals to 6? Your answer then becomes 3.

How many ways can you select a
volleyball team (6 players) from a group of 8 people?

Answers

Answer:

only once

Step-by-step explanation:

Ok look at it this way there's 8 people and you need 6 you take 6 you will have 2 left so there is only 1 way to to select a volleyball team of 6 out of 8 people

help!! Graph y>−5/4x+5

Answers

Answer:

it's the top right.

Step-by-step explanation:

hope this helps.

Question 15.
Which expression is equivalent to
(4x³ + 5x² + 2) + (3x² - 7x + 4)?

Answers

Here’s the answer hopefully you can understand my handwriting

Answer:

4x³ + 8x² - 7x + 6

Step-by-step explanation:

remove the brackets by distributing the sign.

4x³ + 5x² + 2 + 3x² - 7x + 4

4x³ + 8x² - 7x + 6

Gather like terms.

If you want to factorise (optional)

4x³ + 8x² - 7x + 6 =

4x²(1 + 2x) - 6x + 3 + 3 - x

4x²(1 + 2x) - 3(1 + 2x) + 9 - x

(4x² - 3) (1 + 2x) + 9 - x

Simon wants to buy some flowers He goes into a flower shop and buys 7 daffodils and 6 daisies Simon wants to know the cost of daffodils per flower Unfortunately, Simon forgot to get a receipt, however, he can remember that daisies costs 61p per flower. He can also remember that he spent £8.49 What is the cost of daffodils per flower?​

Answers

Answer:

69p each

Step-by-step explanation:

well if each daisy is 61p you want to multiply that price by 6 to get total daisy price, which is £3.66 Then you take £8.49 from £3.66 to get the total price of the daffodils, which is £4.83. Then you divide the the price by the number of daffodils which is 69p. :))(

9×100+9×10+0×1+0×1/10+3×1/100+7×1/1000

Answers

Answer: 990.037

Step-by-step explanation:

About 14,200,000 results (0.72 seconds)

990.037 +9×10+0×1+0×1/10+3×1/100+7×1/1000

which expression is equivalent to 5^4 × (5^-3)^2?

Answers

Answer:

5^-2 or 1/25

Step-by-step explanation:

use index laws.

1. (A^m)^n = a^mn

5^4 x (5^-3)^2=
5^4 x 5^-6

2. A^m x A^n = A^m+n

5^4 x 5^-6

5^-2=
1/5²=
1/25

Answer:

[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{4}\times 5^{-6}=5^{4-6}=5^{-2}[/tex]

We can write:

[tex]5^{-2}=\frac{1}{5^{2}} =\frac{1}{25}[/tex]

The circumference of a wheel is 302 centimetres. Determine the diameter of the wheel. Round your answer to the nearest tenth.

Answers

All you have to do is 302 divided by 3.14, which is equal to 96.2 which is rounded (if I’m incorrect tell me!)

It takes Don 55 minutes to finish his
math homework and 25 minutes to
finish his reading homework. How
many more minutes did Don spend
on his math homework than on his
reading homework?

Answers

Answer:
Don spent 30 more minutes on his math homework than reading homework.

Step-by-step explanation:

55 - 25 = 30

Jerry is mowing his lawn.It takes him 1/6 of an hour to mow 3/20 of his yard. What proportion of the yard does jerry mow per hour

Answers

Answer:

If he mows 3/20 in 1/6 of an hour he'll mow 18/20 or 9/10 in one hour

which means the ratios are equal

1/6:3/20 = 1:18/20 = 1:9/10

Therefore, Jerry will mow 90% of the lawn in one hour

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may GOd bless you

(-3)+5+(-5)+12=


Can someone break this down for me?
I just wanted to get some help ...

Thank you ! ​

Answers

Answer:

[tex]9[/tex]

Step-by-step explanation:

[tex](-3)+5+(-5)+12=\\-3+5-5+12=\\5-5-3+12=\\-3+12=\\12-3=\\9[/tex]

Whenever you are doing a problem that says [tex]+(-n)[/tex] (n for number), it's the same as subtracting that number.

The answer is nine your welcome

what is the cost of 23.5 gallons of gas

Answers

Answer:

Too much

Step-by-step explanation:

I did the math myself


The ratio of the number of peanuts to the number of cashews in a trail mix recipe is 5:3.
Complete the table to show the relationship between peanuts and cashews in the trail mix recipe. Enter a number in each box.

Answers

Answer:

40 and 16 for 8 servings

25 and 10 for 5 servings

15 and 6 for 3 servings

Step-by-step explanation:

What is the third angle on a triangle with angels of 45 and 45?​

Answers

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \huge\mathsf \pink{90°}[/tex]

X + 45° + 45° = 180° X + 90° = 180°X + 90° - 90° = 180° - 90° X = 90°

can someone help? Please :(

Answers

The answer is 64 took the test

I. GIVEN TRIANGLE POR, DETERMINE THE FOLLOWING.

please help me out with this ​

Answers

34

Step-by-step explanation:

 122

This is a lengthy question ill go through all the formulas

This is a right triangle which means u can use pythagorean theorem to find QP

formula :

[tex]a^{2} +b^{2} =c^{2}[/tex]

Note that [tex]c^{2}[/tex] is always the hypotenuse(the hyp is always opposite to ninety degrees)

so lets substitute

=> [tex]a^{2} +17^{2} =28^{2}[/tex]

=> [tex]a^{2} +289 =784[/tex]

subtract 289 both sides

[tex]= > a^{2}=495[/tex]

Now square root both

[tex]\sqrt{ a}^{2}=\sqrt{495}[/tex]

==> [tex]3\sqrt{55}[/tex] or 22.2 (answer)

But for the other three u have to use another formula any of sin, tan,cos while using For example angle Q and then use any and do inverse it will be very easy after u know all the formulas of Sin,cos, tan

SOHCAHTOA

^

Thats an acronym   for the formula

Sin= Opposite/ hyp

Cos= Adjustent/Hyp

Tan= Opposite/Adjustent

i need help with this, graphing

Answers

Answer:

30 baloons per hour

Step-by-step explanation:

Use some points on the graph:

(0, 0), (2, 60), (4, 120), (8, 240)

The graph is a line passing through the origin, so this is a proportional relationship.

Standard form of such relationship is

y = kx, where k- coefficient of proportionality

Using one of the coordinate pairs find the value of k

60 = 2kk = 60/2k = 30

This is indicating the number of baloons filled per hour is 30.

Mike has $21 to spend at the mall.
He spends all of his money on
bracelets for his sisters. Bracelets
cost $3 each. How many bracelets
does he buy?

Answers

Answer:

7 Bracelets

Step-by-step explanation:

Okay, you have 21$ to spend, since bracelets cost 3$ each (not including tax), you can do 21/3 which will get you 7 bracelets. Hope this helps!

Answer:

7 bracelets

Step-by-step explanation:

21/3 = 7

!!!!!help please!!!!!

Answers

to G H I would be 2x2x3.

Find the equation of the line shown

Answers

Answer:

the equation of the line is 2y-x-1

pls give brainliest

1. The circle x² + y² = 45 is shown graphed along with the point (6, 3).
(a) Determine graphically the slope of the line segment connecting the origin to the point (6,3).

(b) Carefully draw in the tangent line to the circle at (6,3) using the negative reciprocal slope of the one you found in (a).

(c) What is the y-intercept of the tangent line?

Answers

Answer: Please see the analysis in the picture

13) Which value is equivalent to the expression 7^2 - 3^4
A) -32
B)-19
C) 16
D) 32

Answers

Answer:

-32

Step-by-step explanation:

7^2 = 49

3^4 = 81

49-81=

-32

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