Complete the square for the following quadratic equation to determine its solutions and the location of its extreme value.

y=-x^2+4x+12

Answers

Answer 1

Answer:

x^2+4x+12=(x+3)^2+3

Step-by-step explanation:

x^2+4x+12

(1/2×6)^2=(3)^2=9

x^2+4x+(3)^2-(3)^2+12

x^2+4x+9-9+12

(x+3)^2-9+12

(x+3)^2+3

hope I helped.


Related Questions

find the measure of angle x in the figure below

Answers

Answer:

you forgot to add the figure

Step-by-step explanation:

Answer:

can you show me an attachment of the image ?

Step-by-step explanation:

Please help me Sally hiked 6 tenths of a 3.6 mile trail. How many miles did Sally have left to hike?

Answers

Answer:Sally hiked 2.16 miles

Step-by-step explanation:

Sally hiked 6 tenths of a 3.6 mile trail.

6 tenths means 6/10

Therefore, Sally hiked   6/10 x 3.6 mile= 2.16 miles

I did bad but what's the answer for this?

Answers

Answer:

28 degrees

Step-by-step explanation:

A triangle is always equal to 180 degrees so add the degrees together

40+2x+3x=180

40+5x=180

5x/5=140/5

x=28

Jack is 12 years older than Brian. Two years from now, Jack will be twice as old as Brian. How old is Brian?
Please don't add a link.​

Answers

Answer:

Step-by-step explanation:

which of these expression is equivalent to -2(3-y)​

Answers

[tex]( - 6 + 2y)[/tex]

answer the question

Please help will mark brainliest !!! 10 points

Answers

Answer:

25 is the right not comform

Marty and Ethan both wrote a function, but in different ways.

Answers

Answer:

what did their functions look like?

Step-by-step explanation:

Answer:

Marty and Ethan both wrote a function in a different way.

Step-by-step explanation:

They both wrote a function.

Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras

Answers

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

I need help with this question
A (3, -1)
B (3,1)
C (-3, -1)
D (1, 3)​

Answers

the answer is B (3, 1)
The answer is b (3, 1)

What’s the answer to this?

Answers

Answer:

2

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

it should be the third option

16 x -4 =
(need process)

Answers

Answer:

-64

Step-by-step explanation:

-16+-16+-16+-16=-64

Answer:

[tex] - 64[/tex]

Step-by-step explanation:

Ignore any negative sign for now.

[tex]16 \times 4[/tex]

Use the algorithm method.

1 6

× 4

______

6² 4

Now consider the signs. One number is positive, and the other number is negative. Therefore, the result will be negative.

[tex]16. \: - 4 = > negative[/tex]

Therefor, 16 × -4 = -64

[tex] - 64[/tex]

Angle J and angle M are base angles of isosceles trapezoid JKLM. If angle J= 15x+9 and angle M=9x+15 find K

Answers

Answer:

156°

Step-by-step explanation:

To solve this problem, we first use the relation

15x + 9 = 9x + 15, on collecting like terms, we have

15x - 9x = 15 - 9

6x = 6

x = 1

And if x is equal to 1, then the base angles are 15 + 9 which is 24°.

And finally, to find k, we subtract the calculated angle from 180 and thus

180 - 24 = 156°

find the product for 56.44

Answers

Step-by-step explanation:

55.44=2464

mark as brainliest

What is the volume of this rectangular prism? 1/2, 4, 3/2

Answers

I’m guessing that the answer is 3
( I don’t see anything)

I will mark you brainlist!

At a movie theater 4 out of the first 10 customers bought popcorn. Based on this information, if 180 people go to the movie theater, how many would be expected to buy popcorn?

Answers

Answer:

72 people.

Step-by-step explanation:

4 out of 10 is 40%. Now apply that to 180. 40% of 180 is 72. Hope this helps.

Ryan and Sheila are preparing to get married. Sheila has a car payment of $297.00 per month, which is 9% of her monthly income. After they are married, Sheila knows that her car payment will only be 5% of their combined monthly income. How much money does Ryan make per month?

Answers

Answer:

$2640

Step-by-step explanation:

Sheila's car payment is 9% of her total income.

let i = total income

this equation can be used to represent the information :

9%  x i = $297

to determine i, divide both sides of the equation by 9%

$297 / 0.09 = $3300

After the marriage, the car payment which is 3300 would be 5% of the combined income.

let c = combined income

5% x c = $297

c = $297 / 0.05 = $5940

Ryan's income = combined income - Sheila's income

$5940 - $3300 = $2640

Is the statement x={x+1} true for all real numbers? Explain.

Answers

Answer:

Step-by-step explanation:

It is not true for any real number.

Subtract x from both sides to get 0=1, a contradiction.

Answer:

The statement is not true for all real numbers. It is only true for decimal or fractional values of x .

If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1.

Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.

Step-by-step explanation: This is what you answers should include.

David kicks a soccer ball off the ground and in the air, with an initial velocity of 35 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches?

Answers

Answer:

Step-by-step explanation:

The function for this problem is: h(t) = -16(t)^2 + vt + s h= the height t= time v= velocity s= starting height With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get: h(t) = -16(t)^2 + 35t Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.

hope this helps

1

Which descriptions apply to a coordinate plane? Choose more

than one answer.


Cartesian plane


Two-dimensional


Three-dimensional


Extends forever


Perpendicular axes


Parallel axes

Answers

The descriptions that apply to a coordinate plane are:

a) Cartesian plane

b) Two-dimensional

d) Extends forever

e) Perpendicular axes.

The descriptions that apply to a coordinate plane are:

Cartesian plane: A coordinate plane is often referred to as a Cartesian plane, named after the mathematician René Descartes, who introduced the concept of using coordinates to represent points in space.

Two-dimensional: A coordinate plane is a two-dimensional space where points are represented using two perpendicular axes (usually labeled as x-axis and y-axis).

Extends forever: The coordinate plane extends infinitely in all directions along the x-axis and y-axis, allowing representation of points with arbitrary coordinates.

Perpendicular axes: The two axes in a coordinate plane are perpendicular to each other, intersecting at the origin (0, 0). The x-axis is horizontal, and the y-axis is vertical.

The description "Three-dimensional" does not apply to a coordinate plane. A coordinate plane is a two-dimensional space, and it does not have a third axis to represent points in three dimensions.

In a three-dimensional space, you would need an additional axis (usually labeled as z-axis) perpendicular to the x-axis and y-axis to represent points in three dimensions.

Hence, The descriptions that apply to a coordinate plane are:

a) Cartesian plane

b) Two-dimensional

d) Extends forever

e) Perpendicular axes.

learn more on coordinate plane :

https://brainly.com/question/17298849

#SPJ4

please help!! i’d really appreciate this! i’ll give you brainliest

Answers

[tex]\huge\longmapsto\sf \mathfrak{Answer : }[/tex]

Area of trapezoid :

[tex] \boxed{ \frac{1}{2} \times (a + b) \times h}[/tex]

where,

a and b are parallel sides h is height

so,

[tex] \longmapsto{ \dfrac{1}{2} \times (6 + 8) \times 4}[/tex]

[tex] \longmapsto{2 \times 14}[/tex]

[tex] \longmapsto{28}[/tex]

hence, Area = 28 unit²

Given sin= 3/5 find cos

Answers

Answer:

Step-by-step explanation: you have to use a caculator this is very similar to log you type in Sin as 3/5 then you will divide by cos then you have your answer

1. Determine the value of x.
Please help

Answers

Answer:

55..........................

help will give brainlist if right!!!!

Answers

Are you taking the state test-

Write a set of parametric equations for the equation x = 3y - 2 given that t= x + 3​

Answers

Answer:

i hope you meant "y" instead of "t" because that would make so much more sense. all you have to do with this is replace "y" in the equation with "x + 3" (this makes the equation x = 3[x + 3] - 2). now, you multiply and combine the like-terms (making x = 3x + 7). you now continue by subtracting 3x from both sides of the equation to make -2x = 7 and dividing to make x = -3.5

Step-by-step explanation:

x = 3(x + 3) - 2

x = 3x + 9 - 2

x = 3x + 7

-2x = 7

x = -3.5

Factorise the following:
a) x – 5x - 6
b) x + 3x – 40
C) - 7x - 30

Answers

Answer:

-4x-6

4x-40

-7x-30

Step-by-step explanation:

I bought 5 crates of apples. Each crate contains 10 apples. I want to display the apples on 5 shelves. How many apples will be on each shelf?

Answers

Answer:

10

Step-by-step explanation:

I bought 5 crates of apples

Each crate contains 10 apples

I want to exhibit the appleonin 5 shelves

Therefore the apples on each shelve can be calculated as follows

Total apples= 50

= 50/5

= 10

Hence there would be 10 apples on each shelf


[tex] \frac{15}{100} \times 115[/tex]

Answers

Answer:

3/5

Step-by-step explanation:

PLEASE HELP URGENT!!!!!!!!! 27 and 28

Answers

Answer:

27) 4.2

28) D

Step-by-step explanation:

Answer:

27. A 4.2ft

28. D

Step-by-step explanation:

27. Since this is a right triangle, we can use a^2 + b^2 = c^2

3.1^2 + b^2 = 5.2

b = sqrt(5.2^2 - 3.1^2)

b = 4.2ft A

28. sqrt(10^2 + 50^2) does not equat 54, this is not a right triangle.

Please I have a test to do. I’ve sat here crying because I’m gonna fail this if someone can’t help me. I’ve been trying to get answers since 7:00 pm and it’s now 10:06 am. I stayed up until 5:00 am trying to get answers. I’m gonna have a breakdown please help me. All I ask is that someone can do number 8 or give me the answers for the 3x-1 column. And I already know I’m gonna get links because certain people have been spamming me. I already know what these links are about and to never go to them and I told the person that, but they won’t listen. Kinda d u m b if you ask me. Why would you even try if you know I’m not going on it either way. But anyways please help me. I’ve literally wasted over 200 points just because of this one assignment and because no one will help me. Please I’m being serious, please help me. I do t know what else to say to convince someone to actually try to help me but please, there’s nothing I can do. I can’t find the answers on the internet, my sister in college can’t remember this, my older cousin doesn’t remember this, please. I’m sleep deprived because of this and am emotionally defeated because I need to pass this test.

Answers

Answer: go to cymath.com and type in your equations they will help you out :) .

Step-by-step explanation:

Oh boy, this sounds like a mess. But I'll do my best to help you out.

Question #8 is asking to classify if the following equation is a slope intercept form or not.

I'm sure you should have learned about what a slope intercept form by now but its general equation is: y = mx + b

The "y" is just a single variable and must stay at its own value (one).

Examples of slope intercept form:

y = 48x + 3

y = -65x +10

y = 9x - 5

Now having this in mind, answer the questions.

4x + 2y = 12 is NOT slope-intercept form because it has too many variables on the left side of the =.

2y = 18x + 8 is also NOT slope-intercept form because it has "2" next to the "y" and there should only be a "y" in the left side of the =.

y = 6x - 1 and y = 1/2x + 3 ARE slope-intercept form because it follows the concept structure.

Now for the other question, you need to substitute the x values to the 3x - 1 equation, solve for the equation, then set up the final coordination.

x                      3x - 1                  y                 (x,y)

-2                    3(-2) - 1               -7               (-2, -7)

-1                     3(-1) - 1                -4               (-1, -4)

0                     3(0) - 1                -1                (0, -1)

1                      3(1) - 1                  2               (1, 2)

2                     3(2) - 1                 5               (2, 5)

The bold points are to be plotted in the graph (I'm sure you know how to do that).

Also gaslighting ain't cool

Cheers :)

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