Mathematics High School

11. Write y = 2x² +12x+14 in vertex form.

Please show work if possible so I know how to do it

11. Write Y = 2x +12x+14 In Vertex Form. Please Show Work If Possible So I Know How To Do It

Answers

Answer 1

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

Related Questions

helpppppppppppppppppppppppppppp

Answers

Answer:

c. {1/15,16,1/17,18}

Step-by-step explanation:

please follow me

Answer:

[tex]{ \sf{set \:A \: and \: B }}[/tex]

can Someone Answer This Please! The Question Is on the Attached Photograph Below: Thanks!

Answers

Answer:

a^5÷a^3=a^5×a^-3=a^5+-3=a^2

Answer:

[tex]a) \: \: {a}^{2} [/tex]

[tex]b) \: \: c[/tex]

Step-by-step explanation:

[tex]a) \: \: {a}^{5} \div {a}^{3} \\ = (a \times a \times a \times a \times a)(a \times a \times a) \\ = a \times a \\ = {a}^{2} [/tex]

[tex]b) \: \: \frac{ {c}^{4} }{ {c}^{3} } \\ \frac{(c \times c \times c \times c)}{(c \times c \times c)} \\ = c[/tex]

Hope it is helpful.....

What is the distance between points (6,-5) and (2,-2)

Answers

Answer:

ans is 5.

hope it will help you.

Solve the equation show your steps check your solution (there is no division symbol). C divided by (-9)=2

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{C}{-9}=2\\\\\\[/tex]

Multiply both sides by (-9)

[tex]\dfrac{C}{-9}*(-9)=2*(-9)\\\\\\C=(-18)[/tex]

Answer:

C=-18.

Step-by-step explanation:

Setting up the problem,

C/-9=2

Multiplying both sides by -9, to get rid of the fraction,

C/-9x(-9)=2x(-9)

So, therefore, the final answer is C=-18.

I hope this has helped you. Enjoy your day, and take care.

IN NEED OF HELP LIKE ASAP!

Answers

Answer:

Below

Step-by-step explanation:

2^-3 / 2^2 is equal to 1 / 2^5

Write the expression in exponential form

     2^-5 = 2^-5

Set the exponents as equal

-5 = -5

So this is true

Hope this helps! Best of luck <3

The answer is 2^-5
Hope it helps

Need Help, with steps

Answers

Answer:

It is C

Step-by-step explanation:

PM = QM

[tex]6x - 8 = 2x + 4 \\ 6x - 2x = 4 + 8 \\ 4x = 12 \\ x = 3[/tex]

Answer:

C.) x = 3

Step-by-step explanation:

The diagonals of a rectangle are equal, and QM and PM are both half of the two diagonals. You can now say that 2 * (6x - 8) = 2 * (2x + 4), meaning that 12x - 16 = 4x + 8, where you can add 16 on both sides, then subtract by 4x on both sides to get that 8x = 24. Now divide by 8 on both sides to get that x = 3.

Carrie likes to buy t-shirts at the local clothing store.
They cost $9.95 each. One day, she bought 25t-shirts.
How many money did she spend?

Answers

Multiply how much one T-shirt cost by the 25shirts Carrie bought = 248.75 dollars

2. What is the additive inverse of -7? (1 point) 0-7 07 O-1-7 O-(-(-7)​

Answers

Answer:

for additive inverse you change the sign of the given number so i think its 7

Step-by-step explanation:

The midpoint of the line segment with the coordinates (-2, -10) and (-3, 8) is _

Answers

Answer:

[tex](\frac{-5}{2} ,-1)[/tex]

Step-by-step explanation:

(-2 + -3)/2 , (-10+8)/2

-5/2,-1

Select all ratios equivalent to 7:5.

Answers

Answer:

77 : 55

Step-by-step explanation:

77 : 55

divide the ratio by 11.

7 : 5

Please help...

ITS URGENT!!!!!!!!!!!!!!!!

Answers

Answer:

3.2 × 10⁻²

Step-by-step explanation:

→ First multiply the whole numbers

8 × 4 = 32

→ Now add the powers

32 × 10⁻³

→ Convert into standard form

3.2 × 10⁻²

Find the perimeter of the following figures and circle the figure with the greatest perimeter

Answers

Answer:

figure plz

Step-by-step explanation:

Algebra! Question 18!!!!

Answers

Answer is c step by step

Determine if the following statement is true or false. If false provide a counterexample.

An equation with an integer coefficient will always have an integer solution.

Answers

Answer: An equation with an integer coefficient will NOT always have an integer solution.

Explanation: 3x=25⟹x=253 , therefore it is false.

Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?

Answers

Answer:

-5.35

Step-by-step explanation:

-20.85

+15.50

this helps with the problem

1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me

Answers

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

How to evaluate a2 + b - c2

Answers

a2 + b + 1c2 i think

-2, 7, 16 ..... Determine the general rule (Tn) for this sequence ​

Answers

Answer:

It is Tn = 9n - 11

Step-by-step explanation:

It is an arithmetic progression:

[tex]T_{n} = a + (n - 1)d[/tex]

a is the first term, a = -2

n is number of terms

d is common difference, d = 7-(-2) = 9

[tex]T_{n} = - 2 + \{ (n - 1) \times 9 \} \\ T_{n} = - 2 + 9n - 9 \\ T_{n} = - 11 + 9n \\ T_{n} = 9n - 11[/tex]

Answer:

[tex]T_{n}[/tex] = 9n - 11

Step-by-step explanation:

There is a common difference between consecutive terms, that is

7 - (- 2) = 16 - 7 = 9

This indicates the sequence is arithmetic with nth term

[tex]T_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = 9 , then

[tex]T_{n}[/tex] = - 2 + 9(n - 1) = - 2 + 9n - 9 = 9n - 11

-3(2d + 5) please help me solve this using distributive property

Answers

Answer:

-6d -15

Step-by-step explanation:

-3(2d + 5)

Distribute

-3 *2d -3*5

-6d -15

A person picks 250 apples an hour and works for 5 hours a day. How many apples can be picked in 2 weeks, assuming apples are picked each day??

Answers

Woah picking apples seems like a fun job…very fun…anyway…
So this person picks 250 apples in 1 hour and works 5 hours a day. Do 250 times 5 because he will be picking apples for 5 hours a day. 250x5=1,250 apples. This person picks 1,250 apples a day. So the question asks how many apples can be picked in two weeks if this person picks apples everyday. We all know there are 7 days a week, so if it’s 2 weeks, then 7x2=14 days in 2 weeks. Now we take that 1,250 (number of apples this person picks a day) and times it by 14 (days this person will be picking apples). 1,250x14=17,500 apples. 17,500 apples can be picked in 2 weeks.

Answer:

17,500 Apples in 2 weeks

Step-by-step explanation:

250 apples*5 hours*14 days= 17,500 Apples in 2 weeks

-9(1 - 10n) - 2(3n + 9)

Answers

Step-by-step explanation:

-9(1-10n)-2(3n+9)

-9+90n-6n-18

-9-18+90n-6n

-27+84n

3(-9+28n)

does anyone understand this? i need help

Answers

Answer:

[tex]81^{1/4}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{81} = 81^{1/4}[/tex]

a square root can be equivalently written as a fractional exponent. All the other options can be ruled out as they are simply incorrect.

what is the square root of 465​

Answers

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

The square root of 465 is √465 = 21.5

Integral sin(3x+3)dx

Answers

Step-by-step explanation:

steps are in picture above.

Note:if you have any question please let me know.

What is the prime factorization of 81?
Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17.

Answers

Answer:

[tex]3^{4}[/tex]

Step-by-step explanation:

                 81

               27    3

            9  3    

        3  3

3*3*3*3 = [tex]3^{4}[/tex]

please help asap need answer

Answers

Hope this helps. Hope you understood this

Find the value of x
Picture shown!

Answers

Well find what the triangle has to equal then solve from there

Help ill give branliest

Answers

Answer:

i flipped the images upside down.

Step-by-step explanation:

R= 8,5

Q=8,7

R=5,9

Can you write - 14 as a fraction?

Answers

Answer:

-14/1 or 14/-1

Step-by-step explanation:

The fraction for 14 is 14/1

to make it negative, just add a negative sign for numerator or denominator.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

. A fraction becomes 4 if one is added to both numerator and the denominator If 5 is subtracted from 5
both the numerator and the denominator the fraction becomes 1⁄2, find the fraction.

Class 10 cbse maths

Answers

the answer is 7/9. ...........

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