What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?

Answers

Answer 1

Answer:

y= x2 + 8x - 1 is y=(x+4) 2-17

Step-by-step explanation:

First find  - b/2 = - 4, so  -4 will be added to x inside the parenthesis.

Next , find c - b2 to find the value you added at the end

y= (x- b2) 2 + c - b2

y= (x+4) 2 - 17


Related Questions

Please help me with this math

Answers

Answer:

20

Step-by-step explanation:

2(3p+4)

Let p=2

2(3*2+4)

Multiply inside the parentheses

2(6+4)

Add inside the parentheses

2(10)

Multiply

20

Hola aquí va la respuesta!!!

[tex]20[/tex]

[tex] \saludos[/tex]

-3(4x-6)=7-12x(solve)(show work)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

There is no solution to the equation.  

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\-3(4x-6)=7-12x\\-------------\\\rightarrow -12x+18 = 7 - 12x\\\\\rightarrow -12x + 18 - 18 = 7 - 18 -12x\\\\\rightarrow -12x=-12x-11\\\\\rightarrow-12x+12x = -12x+12x - 11\\\\\rightarrow 0 = -11\\\\\boxed{\text{This is a \underline{contradiction}. There is no solution.}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

simplify the expression (2r^4y4xy^2) completely

Answers

Step-by-step explanation:

we can simplify the stuff inside the parentheses to

[tex] \frac{ {x}^{3} }{2y} [/tex]

now we need to multiply it with itself, giving us

[tex] \frac{ {x}^{6} }{4 {y}^{2} } [/tex]

so yeah, D is the correct answer

Find the area of the triangle. round your answer to the nearest tenth​

Answers

Answer:

use photo math

Step-by-step explanation:

cuz i said so

Mark Brainliest please

Answer is A 234.6 units

Explanation:

Area = base * side * sinγ ( Sin of angle)/2
A = 37 * 30·sin(25°)/2
A ≈ 234.55314 units

PLEASE HELP!!
NUMBER 3!

Answers

Answer:

Width = 17 feet, Length = 22 feet

Step-by-step explanation:

Let the width, w, be x

Therefore, length, L = x + 5

Perimeter = 78

p = 2(L+b)

78 = 2(x + x+5)

Adding the variables,

78 = 2( 2x + 5)

Dividing both sides by two,

39 = 2x + 5

Subtracting two from both sides,

34 = 2x

Dividing by two on both sides,

17 = x

Therefore, the width = x = 17 feet, and the length = x + 5 = 17 + 5 = 22 feet.

Hope you understood

Please mark as the brainliest

Thank You

A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y prime prime plus 9 y prime plus 18 y equals

Answers

Answer:

[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]

Step-by-step explanation:

Given

[tex]y" + 9y' + 18y = 24x^2 + 40x + 8 + 12e^x[/tex] ---- (1)

[tex]y_p(x) = e^x + 4x^2[/tex]

Required

The general solution of [tex]y(x)[/tex]

Let

[tex]y = e^{nx}[/tex] be the trial solution of (1)

So:

[tex]y" + 9y' + 18y = 0[/tex] becomes

[tex]n^2 + 9n + 18 = 0[/tex]

Expand

[tex]n^2 + 6n+3n + 18 = 0[/tex]

Factorize

[tex]n(n + 6)+3(n + 6) = 0[/tex]

Factor out n + 6

[tex](n + 6)(n + 3) = 0[/tex]

Split

[tex]n +6 = 0\ or\ n + 3 = 0[/tex]

Solve for n

[tex]n =-6\ or\ n = -3[/tex]

So:

[tex]y = e^{nx}[/tex] becomes:

[tex]y = c_1e^{-6x} + c_2e^{-3x}[/tex]

[tex]y_p(x) = e^x + 4x^2[/tex] becomes

[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]

Where: [tex]c_1[/tex] and [tex]c_2[/tex] are arbitary constants

Evaluate the function.

Answers

Answer:

f(-1) = 5

Step-by-step explanation:

To "evaluate the function f(x) = -x^2 + 6 at x = -1, we substitute -1 for x in each instance:

f(-1) = -(-1)^2 + 6

According to order of operations rules, exponentiation must be performed before multiplication or division.  '-(-1)^2' thus becomes -1, and so

f(-1) = -(-1)^2 + 6 = -1 + 6 = 5.

Thus, f(-1) = 5

A house was appraised at $330,000 . One year later the house was appraised at $335,000 . At what percent did the appraised price of the house increase?

Answers

Answer:

11 2/3%

Step-by-step explanation:

Change in Amount  =335,000 – 300,000

Percent Increase

Original Amount

300,000

35,000

2

=0.11666=11.666%=11-%

300,000

3

(https://imgur.com/a/U6c1pes) - For more clear explanation.

WILL MARK BRAINLIEST! An orchestra of 120 players takes 40 minutes to play Beethoven's 9th Symphony. How long would it take for 60 players to play the symphony?
Let P be the number of players and T be the time playing.
Trick question! ;)

Answers

Answer:

Since in an orchestra each player plays parallely, i.e. everyone plays the same line simultaneously, hence the length of the play never depends on the number of players playing it. Hence, time taken by 60 players = time taken by 120 players = 40 minutes. So 60 person will play the 9th harmony in same 40 minutes.

Step-by-step explanation:

Is god really real??
Answer ASAP
Many people answer this question

Answers

Answer:

yes

Step-by-step explanation:

that's that's I think

In my honest opinion…. No there are many other so called gods in different parts of the world like Greek gods and goddess and China and all over the place so it makes it difficult to believe plus we live in a rock in outer space so who even knows

HELP PLEASE I"LL GIVE 50 POINTS. what is the ratio in simplest form between the length of a side in ΔMNO and the length of it's corresponding side in ΔXYZ

Answers

Answer:

1 : 2

Step-by-step explanation: trust

Answer:

3/1 Hope that helps

Step-by-step explanation:

If a ladder reaches 10 feet up on a wall while the base is 3 feet away how tall is the ladder

Answers

Answer:

Side a = 10.44031

Side b = 10

Side c = 3

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad

Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad

which inequality does the graph represent?
A. y<-x-1
B. y<-x+1
C. y D. y

Answers

Answer:

B)  y < -x + 1

Step-by-step explanation:

you can see from the x-and-y intercepts that the equation of this line is:

y = -x + 1

now you must determine whether the equal sign should be replaced with '<' or '>'

you can use the point (0,0) to see if that makes y > -x + 1 true or false:

0 > 0+1   This is False

so the answer should be:  y < -x + 1

find the median from given data 2,5,1,6,3​

Answers

Answer:  Median = 3

Explanation:

Sort the numbers to get {1,2,3,5,6}. The middle most number is 3, so that's the median.

1.2 x 10^19 x 5.88 x 10^12
This is scientific Notation I need this urgent please give good explanation

Answers

9514 1404 393

Answer:

  7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

  [tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

__

Additional comments

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

Desperate adhd child here plz.

Answers

Answer:

i have adhd too lol, i think its they're both equal ?

Step-by-step explanation:

no idea lol but have a good day

i understand adhd don’t worry. the answer is that angle lkm is equal to angle nkm.
explanation: we know that the length of nk is equal to the length of lk because they have the little dash in the middle. we know that the two triangles share mk as a line, so that must also be equal. all we need to prove by SAS is that the angles in between those two sides are equal as well.

When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, determine the interval that represents the middle 68% of her commute times.

Answers

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Question 2 of 10 The standard form of the equation of a parabola is y= x2 + 4x + 11. What is the vertex form of the equation? O A. y = (x - 2)2 + 18 OB. y = (x + 2)2 +7 O C. y = (x + 2)(x-2) + 7 O D. y = (x - 2)2 + 12 ​

Answers

Answer:

The answer:

y=(x+2)²+7

Choose (B)

Find the quotient.
5^-3/5^-1

Answers

Answer:

3/35

Step-by-step explanation:

A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .

Answers

Answer:

The smallest possible length is 0.83m

Step-by-step explanation:

Given

[tex]Volume = 565L[/tex]

Required

The smallest length of the tank

Since the tank is cubical, then the volume is:

[tex]Volume = Length^3[/tex]

This gives:

[tex]565L= Length^3[/tex]

Express as [tex]m^3[/tex]

[tex]\frac{565m^3}{1000} = Length^3[/tex]

[tex]0.565m^3 = Length^3[/tex]

Take cube roots of both sides

[tex]0.8267m = Length[/tex]

Rewrite as:

[tex]Length = 0.8267m[/tex]

Approximate

[tex]Length = 0.83m[/tex]

how do you figure out the percentage of 19 into 129

Answers

Answer:

14.73.

Step-by-step explanation:

Answer:

See image below for answer:)

Step-by-step explanation:

HELP plsssss I will GIVE YOU BRAINLYEST

Answers

Answer: B

Step-by-step explanation:

Answer:

-5ºC < 5ºC is an inequality that compares temperatures.

B is the correct answer for the multiple choice question.

A prism and two nets are shown below: 3 in. 5 in. 7.2 in. 4 in. Prism B В B A с А D D Net A Net B Part A: Which is the correct net for the prism? Explain your answer. (2 points) Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points) Part C: What is the surface area of the prism? Show your work. (4 points)​

Answers

9514 1404 393

Answer:

net A is correctsurface area is 98.4 square inches

Step-by-step explanation:

Part A:

The two right-angle corners of the triangular bases are at either end of the same edge. This is only shown correctly in Net A.

__

Part B:

See the attached annotated diagram. Dimensions are in inches.

__

Part C:

The total surface area is the sum of the three central rectangles of the net and the two triangles. As shown in the attached, the two triangles can be considered as one rectangle of dimensions 3 in by 4 in.

The total area is ...

  Surface area = base area + face area

  = (3 in)(4 in) + (3 + 4 + 5 in)(7.2 in) = 12 in² +86.4 in²

  Surface area = 98.4 in²

can anyone help me do the slope for this?

Answers

Answer:

The value of the slope is 4

The meaning of the slope is y/x

Step-by-step explanation:

Determine the number of bars and bar width in the histogram using the following 50 numbers. 26 39 39 22 18 8 52 69 15 2 60 87 98 10 39 50 3 41 62 29 78 97 60 72 65 15 24 14 14 98 50 60 17 82 44 52 91 77 52 71 9 98 36 93 43 86 87 20 93 98

Answers

Answer:

10 bars ; width 10

Step-by-step explanation:

Reordering the data given :

2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98

To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;

Range = 98 - 2 = 96

By extending the width slightly on either side, we have 0, 100.

If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;

Now our range = 100 - 0 = 100

Width = 10

Number of bars = range / bar width

= 100 / 10

= 10 bars

find the value of tanA when tan(A-45)=1÷3)​

Answers

Answer:

63.44degrees

Step-by-step explanation:

Given that;

tan(A-45) = 1/3

A-45 = arctan(1/3)

A - 45 = 18.44

A = 18.44+45

A = 63.44degrees

Hence the value of A is 63.44degrees

The population of rabbits on an island is growing exponentially. In the year 1992, the
population of rabbits was 220, and by 1997 the population had grown to 400. Predict
the population of rabbits in the year 2000, to the nearest whole number.

Answers

Answer:

572.6

Step-by-step explanation:

400 = 220 [tex]x^{5}[/tex]

ln(400/220) = 5 ln(x)

ln(x) = .1195

x = [tex]e^{.1195}[/tex]

x = 1.127

Y = 220[tex](1.127)^{8}[/tex]

Y= 572.6

HELPPPPOOOPPPPOPPPPPPPP

Answers

the answer is b. if you look at the line it intercepts with x at the point -8. and if you look at where it intercepts with y it’s at -2.

Answer:

Your answer would be B

Step-by-step explanation:

So right away you can get rid of a and d since they are positive numbers, there is no positive numbers in the graph were the line is.

So we know that the y-intercept is -2 (as you can see the line pass through (0,-2))

And we know the y intercept is -8 (since the line pass through (-8,0))

so you are left with b and c, c is incorrect because the -2 goes through the y-intercept not the x.

The right choice is b, it states that the x-intercept -8 pass through the line, the y-intercept is -2

Your welcome and hoped this helped!

5) The current population of a city is 15,862 residents. The population is growing at a rate of
1.3% per year. Assuming the growth rate remains constant, how many years will it take for
the population to reach 20,000 residents? Round your answer to the nearest whole year.

Answers

Answer:

97 years

Step-by-step explanation:

20,000 - 15,862 = 4,138

[tex]\frac{y}{15,862}: \frac{1.3}{100}[/tex]

y × 100 = 15,862 × 1.3

100y = 20620.6

100y ÷ 100 = 20620.6 ÷ 100

y = 206.206

20,000 ÷ 206.206 = 96.9903882525

96.9903882525 rounds to 97

Is god real????
Answer ASAP

Answers

depends on what u believe in if u think he existed then yes if you dont then no

id like to think so but it also depends on what you believe like do you think that he created this whole universe or do you think something like that isn’t possible i believe he is because i know that everything happens for a reason and he knows all the reasons and has everything planned out
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