What are the coordinates of the vertex of y=x²+4x+3?​

Answers

Answer 1

Answer:

(-2, -1).

Step-by-step explanation:

y = x² + 4x + 3

Completing the square:

y = (x + 4/2)^2 - (4/2)^2 + 3

y = (x + 2)^2 - 4 + 3

y = (x + 2)^2 - 1.

This is vertex form and the coordinates of the vertex are (-2, -1).


Related Questions

I dont understand mean or median. Can someone help?

Answers

Answer:

both of these are ways to kinda categorize numbers.

MEAN- you're finding the average. average and mean are synonymous. meaning they're the exact same. with the mean, all you have to do is add all the numbers up and then divide that by however many numbers you added up

lets say you need to find the mean of a domain and you're given this set of numbers:

{1,2,3,4,5,6,7}

the sum is 28. You divide it by 7 (bc thats how many numbers you added up) and you get your mean to be 4

The MEDIAN is going to be simpler than you may think. put all the numbers in numerical order, greatest to least or least to greatest. it doesn't matter.

Then find the number in the middle. Some people like crossing off the numbers on either end until you get to the center. So like marking off 1 then 7 then 2 then 6 etc.

The median is 4.

Step-by-step explanation:

Of course, I'm glad to help.

Mean is average. So for example, if I had the numbers 2,3,4, and 5 the mean would be 10.25.

The steps to getting mean are adding up all your numbers then dividing by the number of equalities you have.

Median is the middle number in your group. For example, if I had numbers 2, 3, 4, 5, and 6. The median would be 4 because that the number in the middle.

But when you have an even amount of numbers (for example 2,3,4,5) you'd add up the ones in the middle (3 and 4) then divide them by 2 (3+4=7/2). In this case, the median would be 3.5.

I know how hard school has been this year so it's understandable if you need help. You can always reach out to me in messages for more help.

Peter made 191 cups of chili for the
football game. If 14 cups of the chili were
eaten, how many cups of chili did Peter
have left over?

Answers

The answer is 171. 191-14=171


Find the value of x.

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The angles within the shape will add to 360 degrees. So:

102+100+92+5x+16=360

5x+310=360

5x=50

x=10

1,600 over 2,500 ×100 over 1​

Answers

Answer:

Step-by-step explanation:

Ito po hehe

Function g is represented by the equation.
g(x) = 4 (1/4)^x + 2
Which statement correctly compares the two functions?
A. they have different Y-intercepts but the same end behavior
B. they have the same Y-intercept and the same end behavior
C. they have the same Y-intercept but different end behavior
D. they have different Y-intercepts and different end behavior

Answers

Answer:

THE ANSWER IS A. They have different y-intercepts but the same end behavior.

I used Desmos to graph the function g(x)=4(1/4)^x+2

They have different y-intercepts because function f(x) is 4, while the y-intercept on graph is 6

But they have the same end behavior at 2.

Step-by-step explanation:

what is the length of side a?

Answers

Answer:

c

Step-by-step explanation:

. In which of the problems below would applying the multiplicative inverse be the best first step in determining a solution to the equation?​

Answers

Answer:

B

Step-by-step explanation:

In The rest of the problems, you add or subtract first.

please help me i’ll give u a brainliest

Answers

Answer:

8.94 inches

Step-by-step explanation:

Solve for hypotenuse.

The answer is 8.94427

Which of the following relations is not a function? Select all.
D {(-3,5), (9,5), (6,5), (0,5)}
{(-1,-1), (-2,6), (-1, -3), (6,-1)}
{(0,0), (4,-5), (-4, 6), (5,6)}
((1,2), (-4, 0), (2,0), (-4,4)}

Answers

Hi there!

A function is a set of ordered pairs that do not have same x-values.

In a set of ordered pairs, If two or more ordered pairs have same x-values, they are not considered as a function but rather a relation instead.

From the question above, you notice that two of the choices have same x-values and others don't have.

The relations that are not functions are the second choice and fourth choice because two ordered pairs have same x-values.

Any questions can be asked through comment.

Furthermore, a function is also a relation but a relation isn't always a function.

Hope this helps, and Happy Learning! :)

CAN SOMEONE HELP ME ON 1-9 NOW PLEASE I WILL MARK YOU BRAINLY.

Answers

Answer:

1. 0.75 cups or 3/4 cups

2. 0.75 cups or 3/4 cups

3. 10 quarts in 2 1/2 gallons

4. 3 3/4 or 3.75

5.  3/4 gallon

6.  2.5 sticks or 2 1/2 sticks

7. 1 3/5 pounds

8. 12 teaspoons

9.  12.5 or 25/2 I think

solve the equation 4 x - 6 = 6- 2x​

Answers

Answer:

x=2

Step-by-step explanation:

4x-6=6-2x

(add 2x and 6 to both sides)

6x=12

(divide by six)

x=2

Double Check:

4(2)-6=2

6-2(2)=2

4(2)-6=6-2(2)

Answer:

x=2

Step-by-step explanation:

4x-6=6-2x

move the variables to right and constants to the left

4x+2x=6+6

combine like terms

6x=12

isolate x by dividing by 6 on both sides to find it's value

x=2

i hope this helps :)

HURRY!!

describe the pattern for each sequence. then find the next three terms. -2, 4, -8, 16

Answers

Answer:

-2, 4, -8, 16, -20, 22, -28 i think

Step-by-step explanation:

Answer:

-32, 64, -128

Step-by-step explanation:

Please give me BRAINLIEST and THANKS lol

Surfave area of cylinder Round to the nearest tenth

Answers

im pretty dure the area is 62.83

pls help !!!!!!!!!!!

Answers

20.2

Volume of sphere = 4/3*pi*r^3

34500 = 4/3*pi*r^3
25875 = pi*r^3
8240.445 = r^3
r = 20.2

Based on historical data, your manager believes that 43% of the company's orders come from first-time customers. A random sample of 243 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.2 and 0.39?

Answers

Answer:

Following are the solution to the question:

Step-by-step explanation:

[tex]p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013[/tex]

z-score for [tex]\hat{p}=0.2[/tex] will be:

z score for will be:

[tex]z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76[/tex]

[tex]P(0.2 <\hat{p}< 0.39) = P(-176.92 < z < -30.76)[/tex] using excel method to calculate the value.

HELP ASAP PLS ILL GIVE BRANLIEST GEOMETRY

Answers

The answer to this problem would be CBD by ade. Hope that helps! :)

Solve the following Equation
50 = 16 + d

Answers

Answer:

d = 34

Step-by-step explanation:

50 minus 16 equals 34, which means d must be equal to 34.

Answer:

D=34

Step-by-step explanation:

In order to find out what the value of d is, you need to subtract the total amount,50, from 16.

Therefore, D=34

Hope this helps :D

8.612 a rational number

Answers

Answer:

yes it is if we can write decimal numbers in the form of a fraction then it is a rational number

Given square ABCD, what is the length of AD?

Answers

since it's a square, all sides are equal
therefore,
3x - 5 = x + 1
2x = 6
x = 3

sub x into AD, which is 3x-5
= 3(3) - 5
= 9 - 5
= 4

therefore AD is 4 units

What age group are considered your peers? Select one: a. Children significantly younger than you b. Adolescents who are similar in age to you c. Adults who are your parents age d. Adults who are your grandparents age. Please answer fast :)

Answers

Answer:

B) Adolescents who are similar in age to you

Step-by-step explanation:

Answer:

b. adolescents who are similar in age to you.

Find P(x) in the following equation.
23 + 3.02 – 43 – 4 = P(2)(x + 2) + 8

Answers

it’d be the last (4th) option. x^2+x-6

first you’d subtract 8 from both sides, and then divide by x+2

$16,940
1 point
19. Eddie O'Neil found a car advertised at a local used-car dealership for
$34,000. The car is clean and in good condition. Its average retail value is
$33,400. It has air-conditioning valued at $840 and leather seats valued at
$200, but it does not include a CD player, which is valued at $100. The
used-vehicle guide indicates that $1.450 should be deducted for excessive
mileage on the car. What is the average retail price for this vehicle? *
$32,890
$33,971
$34,501
$34,890

Answers

Answer:

A. $32, 890

Step-by-step explanation:

add 840+200= 1040

33400+1040= 34440

34440 - (1450+100)=

32,890

Find the slope. Please reply if you can answer.

Answers

Answer:

-3/1

Step-by-step explanation:

Can someone teach me how to solve this please

Answers

Multiply it all together

Someone help me with this

Answers

Answer:

9^-15

Step-by-step explanation:

9^-3/9^-12

9^-3-12= 9^-15

Answer:

Hi, there your answer will be

[tex]9^{-15}[/tex]

Step-by-step explanation:

[tex]\frac{9^{-3} }{9^{12} }[/tex]

[tex]\frac{9^{-3-12}}[/tex]    Subtract -3 and 12

[tex]9^{-15}[/tex]    

Hope this helps :)

There are 24 fish in a pond. 6 are gold and 18 are black. What is
the proportion of gold fish, as a fraction?

Answers

Answer:

6/24

Step-by-step explanation:

A carpenter is constructing a staircase in a house. The distance from the first floor to the basement is 9.2 feet. The staircase will be 13.3 feet long. What angle do the stairs make with the basement floor?

Answers

Answer:

43.77°

Step-by-step explanation:

The height, h = first floor to basement = 9.2 feets

Length of staircase = hypotenus = 13.3 feets

Angle stacase makes with basement floor, θ

Using trigonometry :

Sinθ = opposite / hypotenus

Opposite = height = 9.2 feets

Sinθ = 9.2 / 13.3

Sinθ = 0.6917293

θ = sin^-1(0.6917293)

θ = 43.77°

Which expresion shows the phrase "497 decreased by 87"?

A. 497 + 87
B. 497 – 87
C. 497 × 87
D. 497 ÷ 87

Answers

B. Is the correct answer

A rectangular prism has a volume of 1,200 cubic units. The prism has a length of 24 units and a
height of 5 units. What is the width of the prism?

A:20 units

B:5 units

C:10 units

D:15 units

Answers

C. 10 units

Explanation:
The formula for the volume of a rectangular prism is length x width x height.

Lets multiply the length and height:
Multiply 24 x 5= 120

If the volume of the rectangular prism is 1,200 cubic units, we need to multiply some number to 120 so we can get the volume 1,200 cubic units.

Divide 1,200 by 120

Its 10 units.


Mark BRAINLIEST TY

Solve:
2^x-3= 1/8

(and if you can, put a step by step. you don't have to though)

Answers

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Write the number in exponential form with the base of 2:

[tex] {2}^{x - 3} = {2}^{ - 3} [/tex]

Since the bases are the same, set the exponents equals.

[tex]x - 3 = - 3[/tex]

Cancel equal terms on both sides of the equation:

[tex]x = 0[/tex]

Given

[tex]2 {}^{x - 3} = \frac{1}{8} [/tex]

To Find value of 'x'

Solution

[tex]2 {}^{x - 3} = \frac{1}{8} \\ \\ \implies2 {}^{x - 3} = 2 {}^{ - 3} \\ \\ \\ Since \: Bases \: Are \\ Equal \: We \: Need \\ To \: Evaluate \\ The \: Powers \\ \\ \implies \: x - 3 = - 3 \\ \\ \implies x = - 3 + 3 \\ \\ \implies \: x = 0[/tex]

[tex] \fbox \red{Hope This Helps You ❤}[/tex]

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