Use the vertex formula to find the vertex of the quadratic function f(x) = - x2 + 4x - 10.

Answers

Answer 1

Answer:

           (2, -6)

Step-by-step explanation:

[tex]f(x)=-x^2+4x-10\\a=-1\,,\ \ b=4\\\\[/tex]

Vertex form of an equation of a quadratic function: f(x)=a(x-h)²+k, where vertex is (h, k) and:

[tex]h=\dfrac{-b}{2a}\,,\ \ k=f(h)\\\\h=\dfrac{-4}{2\cdot(-1)}=2\\\\k=f(2)=-2^2+4\cdot2-10=-4+8-10=-6[/tex]


Related Questions

sam walked 5 laps in 30 minutes his brother walked 3 laps in 30 m minutes what is the ratio of the nummber sam walks to the nummber his brother walkes

Answers

Answer:

5 : 3

Step-by-step explanation:

Given that :

SAM:

Walks 5 laps in 30 minutes

SAM'S BROTHER:

walks 3 laps in 30 minutes

Ratio of the number of laps Sam walks to that which is brother walks :

In 30 minutes the ratio of the number of laps walked by Sam to that of his brother is :

Sam's laps : brother's laps

5 : 3

Copy ofJIM 821 Projecting and sudi
carla Shumake
1.3: Scaled Rectangles 1
Here is a picture of Rectangle R, which has been
evenly divided into smaller rectangles. Two of the
smaller rectangles are labeled B and C.
Is B a scaled copy of R? If so, what is the scale factor?
Rectangle R
Yes
No
B
US
06:35

Answers

Can you show me a picture of the rectangle?

what does the side x represent

Answers

Answer:

It's the opposite.

Answer:

opposite

Step-by-step explanation:

x is opposite from the angle. 10 is adjacent from the angle.

NEED HELP ASAPP!!!!!!!!!!!!!!!

Answers

Answer:

fhsvbhbbsbsjkbjk

Step-by-step explanation:

i cant see its blurry

Your picture is blurry I can’t see the world problem clearly.

Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same? 2 3 4 5

Answers

Answer:

The indifference point is 5 months.

Step-by-step explanation:

First, we need to structure the total cost formula for each fitness center:

Community center= 60x

Work center= 100 + 40x

x= number of months

Now, we equal the formulas and isolate x:

60x = 100 + 40x

20x = 100

x= 5

The indifference point is 5 months.

Answer: the answer is 5 or d

3/4(cos20+sin10)=sin^3 10+cos^3 20​

Answers

Answer:

Its true

Step-by-step explanation:

Hey guys, I need help with this algebra assignment. Any answers will help! I’d be happy to give you brainliest for whoever helps me. Also please show your work, Problems are in the pictures :)

Answers

Answer:

1. The slope is -5x and the y-intercept is 4

2. The slope is 0 and the y-intercept is 4

3. The slope is -3x and the y-intercept is 2

Can someone pls answer this asap- Scientific Notation- Iĺl give Brainlist

Answers

Answer: 0.06|C,0.01|M,1|Different|0.|

Step-by-step explanation:

Your welcome! </3

Question 20
Using your equation from the previous question, find the measures of the two marked angles.



A
56° and 56°

B
40° and 40°

C
65° and 115°

D
75° and 105°

Answers

It’s absolutely not B do cross that out and it cant be A so cross that out The Answer is C.

Write the expression:

"a number increased by twenty"

Answers

Answer:

x+20

Step-by-step explanation:

I dont know if this is correct but I'm pretty sure

Answer:

x+ 20

Step-by-step explanation:

Find the value of x in the triangle shown below

Answers

Answer:

The correct answer is 55°

A study of several cities shows a positive correlation between the percent of people
biking to work and the percent of people spending their vacation time at home.
Which statement is most likely true?
Correlation implies causation: therefore, vacationing at home makes people want to ride
their bike.
Correlation implies causation: therefore, bike riding makes people want to vacation at home.
Correlation does not imply causation: therefore the correlation is due to a third variable:
COSL of milk
Correlation does not imply correlation, therefore, the correlation is due to a third variable:
cost of gas.

Answers

Answer:

Correlation does not imply correlation, therefore, the correlation is due to a third variable:

cost of gas.

Step-by-step explanation:

Answer and I will give you brainliest.
A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *

A 2.5 mph

B 0.4 mph

C 2.5 m/s

D 0.4 m/s

Answers

Answer:

C. 2.5 m/s

Explanation:

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the equation;

[tex]Speed = \frac{distance}{time}[/tex]

[tex]S = \frac{d}{t}[/tex]

Given the following data;

Distance = 32.5m

Time = 13secs

Substituting into the above equation;

[tex]S = \frac{32.5}{13}[/tex]

Speed, S = 2.5m/s

solve for x: X- 14= -12​

Answers

Answer:

26

Step-by-step explanation:

Easy

The answer to the equation is 2

[tex]2-14=-12[/tex]

Tom went to purchase a new video game. The original price was $60, but it is his lucky day, and it is on sale for $32. What percent is the original price marked down? 18.75% 87.5% 46.67% 53.33%

Answers

Answer:

46.67%

Step-by-step explanation:

60÷100=0.60   , 1%=0.60 ,  0.1%=0.06   , 0.01%=0.006

60-32=28

28÷0.6=46  46%=27.6   , 0.67%=0.4      27.6+0.4=28   46+0.67=46.67%

Find A u B. Proof not needed

Answers

Answer:

D

Step-by-step explanation:

If -4 is a solution of the equation f(x) = 2, which must be the coordinates of a point on the graph of f?
(4,-2)
0 (-2,4)
O (2,-4)
O (-4, 2)

Answers

the answer is (-2,4) (:

The coordinates of the point on the graph of is (-4,2).

What is a function?

A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

If -4 is a solution of the equation f(x) = 2,

When giving the input as  -4 the output will be 2.

Thus these can be written in ordered pair as (-4,2).

Hence, the coordinates of the point on the graph of is (-4,2).

Learn more about functions here:

https://brainly.com/question/29631554

#SPJ6

An angle measures 125.2° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

27.4 and 152.6

Step-by-step explanation:

Supplementary angles equal 180 degrees when placed together.

x+(x+125.2)=180

2x+125.2=180

2x=54.8

x=27.4

the angles are 27.4 and 152.6

what is the least common multiple of 3 and 21 please help quickly​

Answers

Answer:

21

Step-by-step explanation:

Answer: LCM(3,21) = 21

Step-by-step explanation:  Least common multiple or lowest common denominator can be calculated in two ways, with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Write an equation and show your work: There were five different Foil Kites that each descend 50 feet per second for 5 seconds. Find the total change in altitude for all 5 kites.

Answers

Answer: Change in altitude = (50 x 5) feet

The total change in altitude for all 5 kites. = 250 feet

Step-by-step explanation:

Given : Rate of descent = 50 feet per second  (speed)

Time = 5 seconds

Since, distance = speed x time

Change in altitude = Rate of descent x Time

Change in altitude = 50 x 5 feet  [required equation]

= 250 feet

Hence, the total change in altitude for all 5 kites. = 250 feet

Find the value of y for which the value of 8y+3 is 7 more than the value of 6yTom and Sam can finish a plowing job in two hours if they work toghether. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?

Answers

Answer:

19 ; 2.8 hours

Step-by-step explanation:

Find the value of y for which the value of 8y+3 is 7 more than the value of 6y

8y + 3 = 7 + 6y

8y - 6y = 7 - 4

2y = 3

y = 3/2

y = 1.5

Let

Tom's rate = x

Sam's rate = y

Rate = 1 / time

Hence,

x = 1/7

Rate when they work together = 1/2

Tom's rate + Sam's rate = 1/2

1/7 + y = 1/2

y = 1/2 - 1/7

y = (7 - 2) / 14

y = 5/14

Since, rate = 1/time

Time = 1/ rate

Sam's time = 1/ rate = 1/y = reciprocal of y

Sam's time = 14/5 = 2.8 hours

2.8 hours = 2 hours (0.8 * 60) = 2 hours 48 minutes

help! Easy question and i will give brainliest
60 x 0.0004
pls show ur work

Answers

I that’s the steps on how to get the answers

A lemonade recipe cells for 1/4 cup of lemon juice for every cup of water.
What is the constant of proportionality?

Answers

Answer:

1 to 4

Step-by-step explanation:

for each 1/4 cup of lemonade, you add four 1/4 cups of water

For the function f(x)=−3x+2, find f(−4).

Answers

Answer:

f(-4) = 14

Step-by-step explanation:

f(-4) = -3(-4) + 2

f(-4) = 12 + 2

f(-4) = 14

Carmen measured her purple pen and found it was 14.724 cm long. What is the length of her purple pen rounded to the nearest hundredth?

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answer is 14.73

Step-by-step explanation:

What is the integral of sin(x)^-1?

Answers

Answer:

square root of (1-x^2) + C

Step-by-step explanation:

Use integration by parts...

You are playing Rock, Paper, Scissors against a friend How many possible outcomes
are there between the two of you? What are they?

Answers

Answer:

6 possible outcomes

Step-by-step explanation:

rock,rock

rock, paper

rock, scissors

paper, paper

paper, scissors

scissors, scissors

Answer:

9

Step-by-step explanation:

Rock and Rock, Rock and Paper, Rock and Scissor, Paper and Paper, Paper and Rock, Paper and Scissor, Scissor and Rock, Sciccor and Paper, and finally Scissor and Scissors. I assume that you can have Rock and Paper as well as Paper and Rock because it is a different person.

which of these is correct unit for acceleration ?​

Answers

Answer: meters per second squared

Step-by-step explanation: Acceleration is measured in meters per second squared, m/s 2. When you multiply a kilogram (mass unit) times a meter per second squared (acceleration unit) you get a kilogram-meter per second squared.

Meters per second squared

4(x+3)-7_>x+3(x+1) solve the inequality

Answers

Answer:

Step-by-step explanation:

[tex]4(x+3)-7\geq x+3(x+1)\\4x + 12 - 7 \geq x+ 3x+ 3\\[/tex]

isolate x

[tex]4x + 5 \geq 4x+ 3\\5 - 3 \geq 4x - 4x\\2\geq 0[/tex]

since 2 is greater than 0, this is a true statement, meaning that for any x, the inequality is true. it is always true

x : (-∞, ∞)

i need help how is 5 + 5 + 5= 550

Answers

Answer:

Turn one of the plus signs into a 4, making it 545+5=550

Step-by-step explanation:

Other Questions
which of the following statements is true regarding the conservation of metabolic pathways in archaea bacteria and eukarya?a. they are conserved across archea and bacteriab. they are not conserved across any of the three domainsc. they are conserved across all three domainsd. they are conserved across archae and eukarya, but not bacteria PLEASE SOMEONE HELP ME!!!!!!!! Maximillian is preparing for an end-of-course exam in his social studies class. How can he apply Craik and Lockhart's levels-of-processing model to increase retention? Be sure to include key terms related to the model in your response. what is 1000 x 6000 T___________muy simptico.Vosotros______________de Mxico.Mara, Jos y yo_______________muy bien.Ellos______________estudiantesUstedes no________________en la clase.Ella__________________en su casa.l________________de los Estados Unidos.Ellas______________profesorasDaniel y t_______________inteligentesElena, Juan y yo_______________hermanos.Nosotros _________________en el parque.Ernesto__________________en la oficina.Pedro no__________________en el laboratorio.Yo_______________estudiante de Biologa. Mya and her 2 best friends have dinner at a restaurant. The billtotals $32, including tax. The friends leave an 18% tip and splitall costs equally. How much does each person pay? The class average for the first test was 72. The average for the second test was 86. What is the percent change? Ancient Greek city state eventually ruled by direct democracy? PLEASE HELP!!!Ill mark as brilliant What number is five steps to the right of -100? In what month is the popular election for the President of the United States held Which one? A. B. C. or D? How did Rockefeller and the Standard Oil Company get around laws that forbade companies in one state from underselling or doing business in other states? They developed the idea of creating trusts. They decided to monopolize the oil business. They bribed congressmen to change the laws. They ignored the laws since they were not enforceable. help!! Instructions: Write an expression to represent the given scenario.Nick wants to save up enough money to go to Carowinds for the day with a group of his friends. He already has $50 saved up and plans to save $10 each week. Write an expression that represents the total amount Nick will have depending on the number of weeks (w) he saves for. Read and select the correct option.A. Usted, seor Matt, preparas el comedor.B. Soy Eduardo; yo barre la sala.C. Usted, seor Matt, preparo el comedor.D. Soy Eduardo; yo barro la sala. M+ is an unknown metal cation with a plus one charge. As it dissolves the chloride of the unknown metal, MCL, in enough water to make 100 mL of solution. The student the next is a solution with excess AgNO3 solution, causing a GCL to precipitate. The student collects a precipitate by filtration i need help in spanish An example of a relationship where one organism gains but the other is harmed would be ? A. A cow eating grass B. A fish swimming upstream C . A bird building in a tree A triangle has the vertices of A(2,3), B(-2,2) and C(-3,5). What are thecoordinates of the vertices of the image after the translation (x,y) (x + 4, y -3)? help me What is the best type of print or digital resource to find the precise and appropriate definitions for the terms you listed?a general dictionary that is used for all content areasa technical glossary for the subject area in which the terms are usedan encyclopedia that explains everything about a topica thesaurus that lists words that mean the same and opposite of each term