What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

A- (−2, 2)
B- (2, 2)
C- (−2, 6)
D- (2, 6)

Answers

Answer 1

Answer:

I believe the answer is C (-2,6)

Answer 2

[tex]\\ \rm\rightarrowtail y=x^2+4x+10[/tex]

Add and subtract 4

[tex]\\ \rm\rightarrowtail y=x^2+4x+4+10-4[/tex]

[tex]\\ \rm\rightarrowtail y=x^2+4x+2^2+6[/tex]

[tex]\\ \rm\rightarrowtail y=(x+2)^2+6[/tex]

Vertex form

y=a(x-h)^2+k

Vertex:-

(h,k)=(-2,6)

Related Questions

1/2 x - 12 = 12? Need Answer ASAP only have few mins left i studied whole night but forgot this question

Answers

Answer:

x = 48

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] x can be rewritten as [tex]\frac{x}{2}[/tex].

[tex]\frac{x}{2} - 12 = 12[/tex]

add 12 to both sides.

[tex]\frac{x}{2} = 12 + 12[/tex]

[tex]\frac{x}{2} = 24[/tex]

multiply both sides by 2.

[tex]x = 24 * 2[/tex]

x = 48

Write the slope-intercept for of the equation of the line with that passes through the point (2,-8) and is perpendicular to 2x+3y=15

Answers

Answer:

y = 3/2 x - 11

Step-by-step explanation:

Recall that a perpendicular line to the expression:

2 x + 3 y = 15

3 y = - 2 x + 15

y = - 2/3 x + 15/3

is going to have a slope equal to the opposite of the reciprocal of the original (-2/3) slope. So, the slope of the perpendicular line must be: 3/2.

We use this value in a general point-slope form of a line, where we use the point (2, -8) :

y - (-8) = 3/2 (x - 2)

y + 8 = 3/2 x - 3*2/2

y + 8 = 3/2 x - 3

y = 3/2 x - 3 - 8

y = 3/2 x - 11

Kylie borrowed $30 from her mother to buy a shirt. After three weeks of doing chores she pays her mother back $24. What percent of the debt has she paid her mother back?

Answers

Answer:

80%

Step-by-step explanation:

Set up a proportion, as shown in picture

Answer:

80%

Step-by-step explanation:

she would have 6 dollars to pay still

A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 368 chocolate and 32 mocha. What percent of the cupcakes sold that day were chocolate?

Answers

How to find the percent:

32/368 = 0.0869
0.0869x100 = 8.69


8.869 is the percentage of the mocha cupcakes. To get the percentage of the chocolate ones, we subtract 8.69 from 100.
100-8.69=91.31

Answer: 93.31 perfect of the cupcakes sold were chocolate

Answer:

92%

Step-by-step explanation:

Convert 3 3/8 to an improper fraction

Answers

Answer:

The improper fraction for the mixed number 8 3/8 is 67/8. To find this, the first step is to multiply the denominator of the fraction (8)

66/8

why?

8x8+2 =66/8.

Simplify =33/8

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function for . Determine the following (round all of your answers to 3 decimal places): (a) Enter your answer in accordance to the item a) of the question statement .972 (b) Enter your answer in accordance to the item b) of the question statement .0123 (c) Enter your answer in accordance to the item c) of the question statement .028 (d) Enter your answer in accordance to the item d) of the question statement .972 (e) Determine such that . Enter your answer in accordance to the item e) of the question statement

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a   [tex]P(X <  5) =  0.960[/tex]

b [tex]P(X >  8) = 0.016[/tex]

c   [tex]P(6 < x < 10) =  0.018 [/tex]

d  [tex] P(X < 6 or  X > 10 ) =  0.982 [/tex]

e  [tex]X =  2[/tex]

Step-by-step explanation:

From the question we are told that

   The probability density function is  [tex]f(x) =  \frac{2}{x^3}[/tex] for  x > 1

Considering question a

  [tex]P(x < 5) = \int\limits^5_1 {\frac{2}{x^3} } \, dx[/tex]

=> [tex]P(X <  5) =  [-\frac{1}{x^2} ]|  \left \ 5} \atop {1}} \right.[/tex]

=>[tex]P(X <  5) = - \frac{1}{25}  +   \frac{1}{1^2}[/tex]

=>  [tex]P(X <  5) =  0.960[/tex]

Considering question b

[tex]P(x > 8) =1  - \int\limits^6_1 {\frac{2}{x^3} } \, dx[/tex]

=> [tex]P(X > 8) =1-  [-\frac{1}{x^2} ]|  \left \ 8} \atop {1}} \right.[/tex]

=>[tex]P(X >  8) = 1 - [- \frac{1}{64}  +   \frac{1}{1^2}][/tex]

=>[tex]P(X >  8) = 0.016[/tex]

Considering question c

  [tex]P(6 < x < 10) = \int\limits^{10}_{6} {\frac{2}{x^3} } \, dx[/tex]

=> [tex]P(6 < x < 10) =  [-\frac{1}{x^2} ]|  \left \ 10} \atop {6}} \right.[/tex]  

=>[tex]P(6 < x < 10) =  [- \frac{1}{100}  +   \frac{1}{36}][/tex]

=>[tex]P(6 < x < 10) =  0.018 [/tex]

Considering question d

 [tex] P(X < 6 or  X > 10 ) = 1 - P(6 < x < 10) = 1 - \int\limits^{10}_{6} {\frac{2}{x^3} } \, dx[/tex]

=> [tex] P(X < 6 or  X > 10 ) =1-  [-\frac{1}{x^2} ]|  \left \ 10} \atop {6}} \right.[/tex]

=> [tex] P(X < 6 or  X > 10 ) =1- [- \frac{1}{100}  +   \frac{1}{36}][/tex] [/tex]

=> [tex] P(X < 6 or  X > 10 ) =  0.982 [/tex]

Considering question e

   [tex]P(X  <  x ) =  \int\limits^x_1 {\frac{2}{x^3} } \, dx  =  0.75[/tex]

   [tex]P(X  <  x ) =  [- \frac{1}{x^2} ]| \left \ x } \atop {1}} \right.  =  0.75[/tex]

   [tex]P(X  <  x ) =  - \frac{1}{x^2} - [- \frac{1}{1^2} ]= 0.75[/tex]

   [tex]P(X  <  x ) =  - \frac{1}{x^2} + 1 = 0.75[/tex]

     [tex]  - \frac{1}{x^2}  = -0.25[/tex]

     [tex]X =  2[/tex]

     

Combine these radicals. Whos ever up I need this NOW!! 55 points

Answers

√27 - √3

= 3√3 - √3

= 2√3

I think the answer is the second one.

Mrs. Bennett has a collection of nickels and dimes worth $8.50. If she has 120 nickels and dimes, how many of each does she have?


No Solution
No Solution

(50 , 70)
(50 , 70)

Infinitely many Solutions (IMS)
Infinitely many Solutions (IMS)

(70 , 50)

Answers

120 nickels= 6 dollars
120 dimes = 12 dollars

What is 9.513 times 5.7 equal?

Answers

Answer: 54.2241

Step-by-step explanation:

You multiply 9.513 by 5.3 which gives you an answer of 54.2241. (Hope this helped)

Bongeka purchased a new refrigerator and were expected to pay R1 684,00 five months ago and another R1 323,00 in eight months’ time. She could not make the payment five months ago, but after receiving a bonus at work, she rescheduled to repay the loan in two equal payments, the first due in two months and the second due in five months’ time. The payment at month five will settle the debt, therefore, the settlement date is month five. The debts and payments are subject to the same interest rate of 11,4% per annum, compounded monthly.

Answers

The discount factor computed shows that the value of each payment will be $1546.

How to calculate the payment?

The following can be deduced from the information:

Payment due in 5 months = $1684

Payment due in 8 months = $1323

Annual interest  = 11.40%

Monthly interest rate = 11.40%/12 = 0.95%

Present value of payment due 5 months ago = $1684 + (1 + 0.95%)⁵ = $1765.52

Present value of payment due 8 months ago = $1226.62

Total present value = $1765.52 + $1226.62 = $2992.14

After rescheduling, the payments will be in 2 months and 5 months.

Discount factor for payment due in 2 months = 0.9813

Discount factor for payment due in 5 months = 0.9538

Combined discount factors= 0.9360

Therefore, the value of each payment will be:

= $2992.14/(1 + 0.9360)

= $1546

Learn more about discount factor on:

https://brainly.com/question/24286983

WILL GIVE BRAINLIEST

For what values of k will each relation not be a function A={(k^2,16),(4k,32)}

Answers

Answer: 0, 4

Step-by-step explanation:

Jayne evaluated an expression that has a value of StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply.

Answers

Answer:

its B, C and E

Step-by-step explanation:

Answer:

Jayne evaluated an expression that has a value of  StartFraction 1 Over 729 EndFraction. Which expression could Jayne have evaluated? Check all that apply.   Best Option  B, C

(B) 9 Superscript negative 3

(C) 3 Superscript negative 6

Step-by-step explanation:

Abigail sells dolls at her doll store. If she sells a doll for $55, and there is 8% sales tax, what is the tax amount a customer will pay on one doll? Round your answer to the nearest cent.
help please

Answers

Answer:

The tax amount a customer will pay on one doll is $4.4

Step-by-step explanation:

To find 8% of 55, you multiply .08 by 55, which is 4.4

Please give brainliest!

How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answers

Answer:

U can tell it b doing 5+7_1

Step-by-step explanation:

Permutations/combinations: Really need some help!
Q. The 12 houses on one side of a street are numbered with even numbers starting at 2 and going up to 24. A free newspaper is delivered on Monday to 3 different houses chosen at random from these 12. Find the probability that at least 2 of these newspapers are delivered to houses with numbers strictly greater than 14.

Answers

Answer:

hello

probability =  5 /12

Step-by-step explanation:

ASAP
Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.

x+3y=0

Answers

Answer:

[tex]y=\frac{-1}{3} x\\[/tex]    or    [tex]y=\frac{-1}{3} x + 0[/tex]

The slope is [tex]-\frac{1}{3}[/tex]

The y-intercept is 0

Step-by-step explanation:

[tex]x+3y=0\\x-x+3y=0-x\\\frac{3y}{3}=\frac{-x}{3} \\\\ y=\frac{-1}{3} x[/tex]

Answer:

Step-by-step explanation:

Isolate y to put into slope-intercept form

x + 3y = 0

3y = -x

y = - 1/3x

Slope is -1/3

Intercept is 0

how do you write 1.14 million?​

Answers

Answer:

1,140,000

Step-by-step explanation:

1 million = 1,000,000

So, 1.14 million = 1,140,000

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Bianca, Vincent, and Julian are each reading a book of the same length. Bianca’s book is divided into {6}6 chapters of equal length and she has read one of them. Vincent’s book is divided into {16}16 chapters of equal length and he’s read {8}8 chapters. The book Julian is reading has {8}8 chapters of equal length and Julian has read {4}4 of them. Which two people have read the same number of pages of their book?

Answers

Answer:

Vincent and Julian

Step-by-step explanation:

Vincent has read 1/2 his book and so had Julian

5 1/6 + 7 1/3 helpppppppp fasssssssssttttttt

Answers

Answer:

12 and 1/2 (12.5)

Step-by-step explanation:

Answer:

12 3/6

Step-by-step explanation:

Broken Down :

5 + 7 = 12

1/3 =  2/6

2/6 + 1/6 = 3/6

So, 12 3/6

Can someone help me please??

Answers

6.4 I apologize if this isn’t the answer but from what the calculators say I would think this is the correct one

The population of a town was 4,512 in 2015 and grows continuously at annual rate of 2.25%. What is the town's
projected population in 2030?
6,034
6,136
6,323
6,467

Answers

C. 6323
It’s correct

Find the midpoint (-8,6), (5,-7)

Answers

Answer:

Hello

Midpoint of (-8,6) and (5,-7)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-8+5/2),(6+-7/2)

        =(-3/2),(-1/2)

Midpoint of (-8,6) and (5,-7) is (-3/2),(-1/2)

Hope it helps you.....

F in class need help

Answers

They both need money to improve their lives

I WILL GIVE BRAINLIESTTT

Answers

Answer:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)

Step-by-step explanation:it’s a

b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.

Inequality question . Appreciate the help with this question . Thank you .

Answers

Answer:

B, the inequality -16.3<-10.9 means that the average winter temperature in state M is colder than the average winter temperature in state O

Step-by-step explanation:

If a number is in the negatives then the bigger those numbers are, the colder it would be.

what is 12222006783*46439

Answers

Answer:

567577772995737

hope this helps =3

find the coordinates

Answers

Answer:

Take the number 10 and put it on the first box, next take the 315 degrees and put it on the 2nd box

Can someone please help me?

Answers

Answer:

a

Step-by-step explanation:

is the following relation a function?

Answers

Answer:

No, it is not a function.

Step-by-step explanation:

It is not a function, because for every X there should only be one Y.

Answer:

No.

You cant have one to many, it's too vague.

Need to know quick please

Answers

[tex]check \: photo \: for \: detailed \: analysis[/tex]

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