What information do you need to write the equation of a transformed quadratic equation in vertex form

Answers

Answer 1

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.

Step-by-step explanation:


Related Questions

The price of a gallon of apple cider is $7.00. The price
of eight 4.23 ounce juice boxes is $2.39.
Peter wants to have at least a gallon of either only cider
or only juice. Which product is the better deal?

Answers

Answer:

Apple Cider is the better deal.

Step-by-step explanation:

1 gallon is 128 ounces.

8 times 4.23 is 33.84. So each purchase is 33.84 ounces. If you multiply 33.84  ounces by 4 you get 135.36. (I did 4 because 3 would be too little to make a gallon).

After that you need to multiply 2.39 and 4. You need to do this because it will tell you the cost. That will come out to 9.56$.

So, that is why the apple cider is a better deal, because it is 7$ and the other would be 9.56$.

Hope this helps :-)

Solve for x. Enter the solutions from least to greatest.
(x + 5)2 – 64 = 0
lesser x =
greater x =

Answers

Answer:

Step-by-step explanation:

( x + 5 )² - 64 = 0

( x + 5 )² = 64

x + 5 = ± √64

x + 5 = ± 8

(1). x + 5 = - 8

x = - 13 ( lesser )

(2). x + 5 = 8

x = 3 ( greater )

Which expression is equivalent to 7x + 9 - 2x?
Answer choices 14x, 18x, 5x + 9 or 9x + 9

Answers

Answer:

5x+8 because 7x-2x=5x and you cant do anything with the 9 so it just stays as a hang on at the end.

Step-by-step explanation:

Answer:

7x + 9 - 2x

We need to combine like terms (meaning terms that have the same power and variables);

(7x - 2x) + (9)

5x + 9

3: find the missing side length of the similar shapes.

Answers

Answer:

21 ft

Step-by-step explanation:

the amount of times 12 goes into 18 is 1.5

this is also true for 18 to 27

so that means

when you multiply 14 to 1.5

you get what the ? is

14 * 1.5 = 21

is is 21 ft

A store sells bananas by weight. The total cost to buy 5 pounds of bananas is $3.75.
How do you correctly calculate the total cost, T, to buy 2 pounds of bananas?

Answers

Answer:

Answer

5=$3.75

3.75÷5=.75 ($.75 per banana)

.75x2=T

T=$1.50

Step-by-step explanation:

Answer:

T= 0.75

Step-by-step explanation:

5=$3.75

3.75÷5=.75 ($.75 per banana)

.75x2=T


If Ill m, solve for x and y.
(7y - 20" (5x - 38)
(3x - 4)

Answers

Answer:

Solve for x = 17

Solve for y = 9

The value of x and y from the figure are 17 and 7 respectively

From the given diagram, we are told that  I ll m, hence:

5x - 38 = 3x - 4 (alternate interior angle)

Get the value of x

5x-3x = -4 + 38

2x = 34

x = 34/2

x = 17

Also from the triangle:

7y - 20 + 5x - 38 = 90

7y + 5x -58 = 90

7y + 5(17) = 90 + 58

7y + 85= 148

7y = 148 - 85

7y = 63

y = 63/7

y = 9

Hence the value of x and y from the figure are 17 and 7 respectively

Learn more here: https://brainly.com/question/14067960

Find the solution to the inequality 3x≥20

Answers

Answer:

x≥20/3

Step-by-step explanation:

divide both sides by 3

3x/3≥20/3

x≥20/3

Hope this helps! Pls give brainliest!

please solve just 7 and 9​

Answers

Answer:

7. 5, 9. 2

Step-by-step explanation:

Number 7 is 5 and number 9 is 2.

how do we find the value of a variable x in an equation?​

Answers

Answer:

READ  BELOW

Step-by-step explanation:

To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.

Evaluate m+(n/1.2). If m=4.204 and n= 4.5

Answers

Hey there!

m + (n/1.2)

= 4.204  + (4.5/1.2)

= 4.204/1+ (4.5/1.2)

= 4.204/1 + 4.5/1.2

= 4.204 + 3.75

= 7.954


Therefore, your answer is: 7.954


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

If Rindou has 20 apples and Ran has 48 apples,how old is Rindou’s dog ?

Answers

that can not be determined, considering we are only given information about the amount of apples Rindou and Ran have.

Find 0.46% of 1000grams​

Answers

0.46% of 1000=
is 0.46/100 x 1000 = 4.6g

Answer:

4.6 grams :)

Step-by-step explanation:

please give brainliest i only need one more crown to level up <3

have a great day!

and if this is a test, i hope you get a 100

Help Please ASAP
Rose bought a length of copper pipe. She used ½.yard to repair a water line in her house. How much pipe does she have left? Solve this problem any way you choose.

Answers

Answer:

I need to know the total length of the pipe but she has 1/2 yard of pipe left. Whatever the total pipe length is, just divide that by 2 to get your answer.

What is the standard form of y+4=2x-5

Answers

2x-y=9 hope this helps :)

A jar contains 550 beans. Of all the beans, 2/5 are white beans and the rest are navy beans. What is the ratio of white beans to navy beans? How many white and navy beans are in the jar?

Answers

White beans: 220
Navy beans:330

23 - 2x = 10 ??!! HELP PLSS

Answers

x = 6.5

Explanation:

[tex]\sf 23 - 2x = 10[/tex]

subtract 23 from both sides

[tex]\rightarrow \sf 23-2x-23=10-23[/tex]

simplify the following

[tex]\rightarrow \sf -2x=-13[/tex]

divide both sides by -2

[tex]\rightarrow \sf \dfrac{-2x}{-2}=\dfrac{-13}{-2}[/tex]

simplify

[tex]\rightarrow \sf x=\dfrac{13}{2}[/tex]

in decimals

[tex]\sf \rightarrow x = 6.5[/tex]

Recheck the following

[tex]\hookrightarrow \mathrm{23 - 2(6.5) = 10}[/tex]

[tex]\hookrightarrow \mathrm{23 -13 = 10}[/tex]

[tex]\hookrightarrow \mathrm{10 = 10}[/tex]

L.H.S = R.H.S thus. x = 6.5

Pls Help Asap. Please, will mark BRAINLIEST

Answers

the base of the garden is 914.4cm (as 10yrds is 914.4cm)
the height of the garden is 365.76cm (as 4yrds is 365.76cm)
the length of the oatio is 731.53cm
the width is also 365.76cm

Answer:

[tex]30\ \ \ \ \ 12\ \ \ \ \ 24\ \ \ \ \ 12[/tex]

Step-by-step explanation:

[tex]Because\ Gerry\ makes\ a\ scale\ drawing\ of\ the\ backyard\ using\ a\ scale[/tex]
[tex]of\ 3\ contimeters\ to\ 1\ yard.\ .[/tex]
[tex]10\times3=30\ \left(Cm\right)[/tex]
[tex]4\times3=12(CM)[/tex]
[tex]8\times3=24\left(cm\right)[/tex]
[tex]4\times3=12.(GM)[/tex]               [tex]\left[Acconling\ to\ the\ information\ in\ the\ picture\right][/tex]

I hope this helps you:)


WILL GIVE BRAINLY PLEASE ANSWER THIS MATHEMATICAL QUESTION STEP BY STEP!!!!!!!
(-5 − 2) × (-3)

Answers

Answer:

-5-2 = -7 Step 1 from abaolute value quality

-7*(-3) =21 step 2 from absolute value quality

Answer:

24

Step-by-step explanation:

Start with parenthesis:

(-5 -3) x (-3)

-8 x -3

Then multiply:

-8 x -3 = 24

please help me this my e -learning work

Answers

Answer:

1. [tex]=11x+9[/tex]

2. [tex]=7a+17[/tex]

3. [tex]=14k+10[/tex]

4. [tex]=3r+19[/tex]

5. [tex]=8w+19[/tex]

6. [tex]=\frac{19}{2}p+16[/tex]

7. [tex]=8x+18y[/tex]

8. [tex]=11m+7n+14[/tex]

9. ???

10. [tex]=\frac{4p+5q}{6}+\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]4x+9+7x[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=4x+7x+9[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4x+7x=11x[/tex]

[tex]=11x+9[/tex]

[tex]7a+1+16[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:1+16=17[/tex]

[tex]=7a+17[/tex]

[tex]9+6k+8k+1[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=6k+8k+9+1[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:9+1=10[/tex]

[tex]=6k+8k+10[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:6k+8k=14k[/tex]

[tex]=14k+10[/tex]

[tex]r+14+5+2r[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:14+5=19[/tex]

[tex]=r+19+2r[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=r+2r+19[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:r+2r=3r[/tex]

[tex]=3r+19[/tex]

[tex]6+7w+w+13[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=7w+w+6+13[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:6+13=19[/tex]

[tex]=7w+w+19[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:7w+w=8w[/tex]

[tex]=8w+19[/tex]

[tex]\frac{1}{2}p+14+2+9p[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:14+2=16[/tex]

[tex]=\frac{1}{2}p+16+9p[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=9p+\frac{1}{2}p+16[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}p[/tex]

[tex]=p\left(9+\frac{1}{2}\right)+16[/tex]

[tex]=p\frac{19}{2}+16[/tex]

[tex]=\frac{19}{2}p+16[/tex]

[tex]8x+3y+15y[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3y+15y=18y[/tex]

[tex]=8x+18y[/tex]

[tex]3m+7n+14+8m[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=3m+8m+7n+14[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3m+8m=11m[/tex]

[tex]=11m+7n+14[/tex]

Cant see the next one the number before w

[tex]\frac{2}{3}p+\frac{5}{6}q+\frac{1}{4}[/tex]

[tex]=\frac{2p}{3}+\frac{5q}{6}+\frac{1}{4}[/tex]

[tex]=\frac{4p+5q}{6}+\frac{1}{4}[/tex]

Suppose that y varies inversely with x. Write an equation for the inverse variation.

y = 4 when x = 6

Answers

Answer:

y = 24/x

Step-by-step explanation:

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\qquad \textit{we also know that} \begin{cases} y = 4\\ x = 6 \end{cases} \\\\\\ 4=\cfrac{k}{6}\implies 24=k~\hspace{10em}\boxed{y = \cfrac{24}{x}}[/tex]

Solve 9 × 5/8
I'm gonna give you all my points : )

Answers

Answer:

See below.

Step-by-step explanation:

9*5/8

Order of operations state that division has to be done before multiplication.

5/8=0.625

9*0.625=5.625, or 5.6

-hope it helps

Lucy is going to walk in a fundraising event to raise money for her school band her mother has agreed to donate 7.50$ to the school for each mile Lucy walks plus an additional 25$ write an equation that represents y, the total amount of money Lucys mother will donate if she walks x miles during the event

Answers

25=7.50x              Lucy walked 3.333 miles

Solve for a:
9a-54=36

Answers

Answer:

a=10

Step-by-step explanation:

Step 1: Add 54 to both sides.

9a−54+54=36+54

9a=90

Step 2: Divide both sides by 9.

9a\9 =90\9

a=10

Answer:

a=10

Step-by-step explanation:

Add 54 to both sides. You get 9a=90. Divide both sides by 9 and you get a=10.

Which trigonometric functions have the same maximum value?

Answers

This is a list of trigonometric functions with the same maximum value:

(A) y = arcsinx and y = cos x

What are trigonometric functions?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.

They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

There are six popular trigonometric functions for an angle.

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

So, the following equations give us the following maximum values:

arcsinx = -1 to 1

arccosx = -1 to 1

arctanx = -pi/2 to pi/2

arcsecx = ∞

Arcsinx and Arccosx are trigonometric functions that have the same maximum value.

Therefore, this is a list of trigonometric functions with the same maximum value:

(A) y = arcsinx and y = cos x

Know more about trigonometric functions here:

https://brainly.com/question/25618616

#SPJ1

Complete question:

Which trigonometric functions have the same maximum value?

A. y = arcsinx and y = arccosx

B. y = arcsinx and y = arctanx

C. y = arctanx and y = arcsecx

D> y = arccosx and y = arcsecx

Write the expression as a decimal:

Answers

Answer:

0.006

Step-by-step explanation:

!!!PLEASE HELP, ITS DUE TODAY!!!

Duane Pipe has worked at the hospital 21 out of 30 days this month. What is his ratio of days worked to total days reduced to lowest terms? In order to receive full-time benefits, he must work 3/4ths of the month or more. Did he meet the requirements?

I will give Brainliest if it’s right

Answers

Answer:

2/3

Step-by-step explanation:

he did meet the requirements

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer: 20.4

Step-by-step explanation:

!GIVING BRAINLIST! PLEASE HELP
Drag the labels to the correct location on the table. Each label can be used more than once.
Identify the correct rhyme scheme for each excerpt.
abab
abcb
aabb

Answers

Answer:

For the first excerpt, the rhyme scheme is ABAB

For the second excerpt, the rhyme scheme is ABCB

For the third it is, AABB

For the Fourth it is, ABAB

For the Fifth it is, ABCB

Step-by-step explanation:

Hope this helped

A brainliest is always appreciated.

It's ABAB (repeat. 1&3 then 2&4)

Only 3/5 of the University students wanted to become math teachers if 3500 did not want to become math teachers how many university students were there?”

Answers

Answer:

8750

Explanation:

There are 5/5 math teachers in the university. 3/5 of them did not want to become math teachers which means 2/5 of the math teachers is equal to 3500.

3500=2/5

divide 3500 by 2 to get 1/5 of the math teachers.

3550/2=1750

1750 is 1/5 of the math teachers.

multiply 1750 by 5 to get 5/5 of the math teachers

1750*5= 8750

A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of fertilizer for every 100 pounds of soil.

How many ounces of fertilizer should the landscaper apply?

Answers

Answer:

15 ounces

Step-by-step explanation:

0.75 tons is equal to 0.75 * 2000, or 1500, pounds (1 ton is 2000 pounds). Let x represent the number of ounces of fertilizer that should be applied. Set up a proportion:

[tex] \ \frac{1}{100} = \frac{x}{1500} [/tex]

Solving this for x, we have x = 15. So the landscaper should apply 15 ounces of fertilizer.

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