Find the vertex of the parabola y = x2 + 5x.

Answers

Answer 1
Write the equation as a mathematical expression.
y = x^2+5x

Rewrite the equation in vertex form
y = (x+(5/2))^2 -(25/4)

Find a h and k using the vertex form y=a(x-h)^2 + k
a=1
h=(-5/2)
k= (-25/4)

answer: (-5/2 , -25/4)

Related Questions

Which of the following exam scores should lead to the better grade? Explain your answer. (4 points)
A score of X = 55 on an exam that has a mean of 60 and a standard deviation of 5.

B. A score of X = 40 on an exam that has a mean of 50 and a standard deviation of 20.

Answers

Based on the z-score calculations, score A with a score of X = 55 should lead to the better grade.(option-a)

For score A with X = 55, the z-score can be calculated as:

z = (X - mean) / SD = (55 - 60) / 5 = -1

For score B with X = 40, the z-score can be calculated as:

z = (X - mean) / SD = (40 - 50) / 20 = -0.5

The z-score represents the number of standard deviations that a score is above or below the mean. A negative z-score means that the score is below the mean.

Since a z-score of -1 is greater than a z-score of -0.5, score A with X = 55 would be the better score. This is because score A is closer to the mean (60) than score B (50), and it has a smaller standard deviation (5) than score B (20). The lower standard deviation means that scores are more tightly clustered around the mean, making it more difficult to obtain a score that is much higher or lower than the mean.(option-a)

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Write the following numeral in words.
616 845

Answers

Answer:

six hundred sixteen thousand eight hundred forty five

Step-by-step explanation:

Answer: Six hundred sixteen thousand eight hundred fourty five

!!TIP: To write numbers in letters, its spelled the same as the letters would have been said for example 66 - sixty six.

Dory can run 3.25 miles every hour. How long will it take her to run a race that is
16 1/4 miles long?

Answers

Answer:

it would take her 5 hours

Step-by-step explanation:

16 1/2 divided by 3.25 is 5

Brainliest plz

3 Select the correct answer. 52 + 51 + 6 For the rational equation, 1 + 3 = 1 what is a valid value of x? ОА. B. -1 O C. 2 O D. 3 Reset Next​

Answers

9514 1404 393

Answer:

  B.  -1

Step-by-step explanation:

  [tex]\dfrac{x^2 +5x +6}{x+3}=1\qquad\text{given}\\\\\dfrac{(x+2)(x+3)}{x+3}=1\qquad\text{factor}\\\\x+2=1\qquad x\ne-3\qquad\text{cancel factors}\\\\x=-1\qquad\text{add $-2$}[/tex]

The only valid value of x is -1.

The length of the arc bound by the central angle is 90 degrees is 3 pie, what is the radius?

Answers

I’m not sure, I think it’s either 339 or 1.9099

Which graph represents the function p(x) = |x – 1|?

On a coordinate plane, an absolute value graph has a vertex at (0, 1).

On a coordinate plane, an absolute value graph has a vertex at (negative 1, 0).

On a coordinate plane, an absolute value graph has a vertex at (0, negative 1).

Answers

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
B
m(x) = -2x² +24x54
-
m(x) = -2(x - 6)² + 18
m(x) = -2(x - 3)(x-9)
Write one of the zeros.

Answers

Answer:

m(x) = -2(x - 3)(x - 9)

One of the zeros of the function is x = 3

Step-by-step explanation:

The form that most quickly reveals the zeros (or "roots") of the function is:

m(x) = -2(x - 3)(x - 9)

To find the zeros of the function, we set m(x) equal to zero:

-2(x - 3)(x - 9) = 0

From this equation, we can see that the zeros (roots) of the function occur when either (x - 3) equals zero or (x - 9) equals zero. Solving these equations gives us the zeros:

x - 3 = 0

x = 3

x - 9 = 0

x = 9

Therefore, one of the zeros of the function is x = 3.

Hope this helps!

Lena is saving money to buy a game. So far she has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?

Answers

Answer:

12(3/4)=9

12/4=3

3•3=9

A chocolate shop sells chocolates with a variety of different fillings.

hazelnut 68
caramel 8
orange 8

What is the probability that a randomly selected chocolate will have caramel filling?

Write your answer as a fraction or whole number.

Answers

Answer:

There is a [tex]\frac{2}{21}[/tex] chance of picking caramel-filled chocolate.

Step-by-step explanation:

To set this up, you need to make it a fraction. The denominator of the fraction is how many total chocolates you can pick from. You can figure this out by adding all of the chocolate choices together:

68 hazelnut + 8 caramel + 8 orange = 84 chocolates.

The numerator is defined by the number of caramel chocolates, in this case it is 8. That means the fraction will look like:

[tex]\frac{8}{84}[/tex]

Now that can be simplified down. I divided the top and bottom both by 4 to get  [tex]\frac{2}{21}[/tex] and that is as far down as it can go. Therefore that is the probability you will get a caramel-filled chocolate.

Find the product of (x + 3)(x − 3).

x2 − 6x + 9
x2 + 6x + 9
x2 + 9
x2 − 9

Answers

(x+3)(x-3)=
x^2-3x+3x-9=
x^2-9

Step-by-step explanation:

[tex](x + 3)(x - 3) \\ = {x}^{2} - 3x + 3x - 9 \\ = {x}^{2} - 9[/tex]

#CMIIW

What is the vertex of the parabola

Answers

Answer:

lallalalaal hiiiiii

Step-by-step explanation:

The standard form is written as y = ax ^2 + b + c

Using the given equation:

A = -5, b = 30 and c = 7

The x value of the vertex = -b/ 2/a = -30/2(-5) = -30/-10 = 3

To find the y value replace x with the x value and solve for y:

Y = -5(3)^2 + 30(3) + 7

Y = -45 + 90 + 7

Y = 52

The vertex is (3,52)

The answer is G

This test will not impact your grade.
Exam
5
Shot
1.38
Find the missing side. Round
to the nearest tenth.
S
02
17
у
SC
440
Х
x= [?]
Enter

Answers

Answer:

if i am not wrong is 119

Step-by-step explanation:

I did it like this:

I took 44 + 17= 61

And then I took 180-61= 119

id- 5121786233 p/w- tepQ3w​

Answers

Answer:

ok

Step-by-step explanation:

how long will it take with 0.5kW power rating to do 1500J of work?

3 seconds
3 microseconds
3 minutes
0.3 seconds ​

Answers

Try finding it in this https://www.uplifteducation.org/cms/lib01/TX01001293/Centricity/Domain/273/ENERGY%20CLIMATE%20PROBLEMS-SOL.pdf

Need to know angle 1, angle 2, angle 3

Answers

Answer: Step-by-step explanation:

angle 1=41°

angle 2=angle 1=41°

angle 3=180-2×41=98

will mark brianliest please help

Answers

Answer:

See below.

Step-by-step explanation:

7x^2 = 343                     Divide both sides by 7

7x^2/7 = 343/7

x^2 = 49                         Take the square root of both sides.

sqrt(x^2) = sqrt(49)

x = +/- 7

Answers

7- 7sqrt(49)- sqrt(49)

I think the last two are kind of iffy. I'm not sure you can call them solutions, but the question probably assumes they are. If you use all four answers and get it wrong, them submit +7 and - 7.  

56 + 72 = ( + )
help plz

Answers

Answer:

128 = +

Step-by-step explanation:

56 + 72  = 128 (+)

When two 6-sided dice are rolled, there are 36 possible outcomes. Find the probability that the sum is 8

Answers

Answer:

5/36

Step-by-step explanation:

Probability is the outcome that a  event will occur

Probability = Expected outcome/Total outcome

Since two sided dice are rolled, the total outcome will be expressed as;

Total outcome = 36

Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;

(2,6)(6,2), (5, 3), (3,5), (4, 4)

The expected outcome = 5

Probability = 5/36

Hence the probability that the sum is 8 is 5/36

A ride in an amusement park features a swinging ship suspended from a height of 50 feet. The motion of the ship can be modeled by the graph below, where x represents the time, in seconds, since the start of the ride, and f(x) represents the angle, in radians, that the center of the ship makes with respect to the equilibrium position.

Select all the correct answers.

Answers

Answer: The first and last options are correct.

f(x) = pi/4 cos (pix/5 - pi/2)

f(x) = pi/4 sin (pix/5)

Step-by-step explanation

The graph shows that A = pi/4.

B = 10, so the period = 2pi/10 = pi/5.

sin and cos are cofunctions, so a phase shift of -pi/2 makes the two functions equal to each other.

Hope this helps :)

The correct answer is f(x) = π/4 cos (πx/5 - π/2) and f(x) = π/4 sin (πx/5).

option (A) and (D) are correct.

It is given that height of 50 feet and graph is given.

It is to find f(x).

What is graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph shows that A = π/4.

B = 10, so the period = 2π/10 = π/5.

sin and cos are co-functions, so a phase shift of -π/2 makes the two functions equal to each other.

So, the option are (A) and (D).

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To find the distance between a point X and an inaccessible point , a line segment XY is constructed. Measurements show that XY = 975m , angle XYZ=22^ 42^ prime and angle YZX=105^ 18^ prime . Find the distance between X and Z to the nearest meter.

Answers

Answer:

sorry i didn't not answer

whoever gets this correct first gets brainlest!!

Answers

D. f(x)=4 (5/2)^x

Are really good tool for graphing problems is Demos.com

What is the value of the expression: x2 + y2 + x - y
when x = -1 and y = 3

Question 1 options:

6


8


12


16

Answers

Answer:    6

Step-by-step explanation:

x^2+y^2+x-y

Put x=-1 and y=1

(-1)^2+(3)^2+(-1)-(3)

1+9-1-3

10-4

6

Andrew is shooting arrows at a target.
The experimental probability that one will hit a bulls eye is 1/4. If he shoots 60 arrows, how many times can he expect to hit a bulls eye?

Answers

Answer:

15

Step-by-step explanation:

60/4 = 15

So, Andrew would probably hit a bullseye 15 times.

Jaelyn uses 3 3/4 cups of flour to make 5 batches of pancakes. How many cups of flour she need to make 1 batch?


NO ANSWERS IN UNKNOWN SITES PLEASE OR I'LL REPORT IT!!!

Answers

Answer:

3/4

Step-by-step explanation:

Divide 3 3/4 by 5. 3 3/4 as an improper fraction is 15/4. 15/4 * 1/5 (divided by 5) is 3/4. :D dont report me

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

The answer is d. You are welcome

1. Determine the three-dimensional figure that will be created using the following nets.

Answers

Answer:

triangular pyramid

Step-by-step explanation:

Answer:

triangular pyramid

cone

Step-by-step explanation:

In a middle school of 80 students, 42 girls and 38 boys. What is the probability
that if two students were randomly chosen, the first is a boy and then a girl
sequentially?

Answers

Answer:

dont have idea

Step-by-step explanation:

have not studied that topic

5 and 6 ............?



...........................................

Answers

Answer:

5. 25

6. 4

Step-by-step explanation:

Answer:

5) 25 6) 4

Step-by-step explanation:

The absolute value is a number's distance from zero. The square root of a number is what multiples by itself to get that number. For example 4 times 4 equals 16

Please please please help no link no links no links

Answers

Answer:

400

Step-by-step explanation:

V = a² * h/3

Plug in your values:

V = 10² * 12/3

Then solve:

100 * 4 = 400

Please help me please help no links

Answers

yeah i don’t know the answer but don’t press those links they are hackers
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The probability that Nate loses three thumb wars in a row is:_____________ EASY BRAINLIEST!!URGENT PLEASE HELP.-if you answer correctly ill give you brainliest which will give you 27pts- Names for cuts of game meat are different from those of meats you find in the grocery store.TrueFalse Given that the quadrilateral shown is a parallelogram, which statements are correct?A)mZA = 950B)mZB = 65C)mZC = 959D)AD = 8E)DC = 12 I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this? Marcy wanted to buy Lucy's land and use it to breed small pigs to be kept as pets. Marcy told Lucy that having water on the property was very important. Lucy assured her that a spring ran through one corner of the property. Therefore, Marcy agreed to buy the farm. Although she did not ask Lucy anything about it, Marcy, who loved pigs, assumed that the neighbors would be pleased with the pigs being in the area. In a separate contract, Lucy also agreed to sell Marcy a used truck for $5,000. After the contract for the land sale was entered into, it was discovered that actually the spring did not run through the corner of Lucy's property. The area in which the spring ran actually belonged to a neighbor. Additionally, when Lucy brought Marcy the used truck, Marcy said, "That's not the truck!" It was discovered that Lucy, who had two trucks, thought that Marcy had bought the older truck when Marcy thought she had purchased the newer truck. Marcy was also surprised when she received a petition signed by all surrounding landowners objecting to the presence of the pigs and threatening to sue Marcy for nuisance. Which of the following would be the result if Marcy attempts to rescind the contract and recover damages only on the basis of the neighbors' objection to a pig farm?1) Marcy may rescind the contract and recover damages because Lucy made an implied misrepresentation.2) Marcy may rescind the contract, but she may not recover damages because the situation involved a mutual mistake.3) Marcy may recover damages, but she may not rescind the contract because Lucy made an implied misrepresentation.4) Marcy may not rescind the contract or recover damages because Marcy made a unilateral mistake.5) Marcy may rescind the contract, but she may not recover damages because Marcy made a unilateral mistake. 227/89 Ac undergoes alpha decay. Determine the resulting nucleus.For example, if the resulting nucleus is 40/20 Ca enter ^40_20Ca. 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