Express in vertex form

Y=2x^2 - 2x - 5

Answers

Answer 1

Answer:

y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms

 = 2(x² - x) - 5

Using the method of completing the square

add/subtract (half the coefficient of the x- term)² to x² - x

y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form

 


Related Questions

(1,-1) (5,-7 find the slope

Answers

Answer:

m=-2

Step-by-step explanation:

m=-8/5-(1)

m=-8/4

divided -8 by 4

m=-2

Answer:

m=-2

Step-by-step explanation:

If e
very day, Kim practices volleyball and clarinet. Each day, she practices volleyball for 2.5 hours. If after 8 days she practiced both volleyball and clarinet for a total of 36 hours, how many hours per day did Kim practice clarinet?

Answers

Answer:

2hours

Step-by-step explanation:

2.5×8

=20

36-20

=16

16/8

=2hours

0.1 x 0.01 x 0.001
ans ???

Answers

>> Answer

________

[tex] \: [/tex]

[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]

[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]

[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]

[tex] = \bold{ \frac{1}{1.000.000}} [/tex]

Answer:

[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]

I´m gonna fail
Help
PLease and thank you

Answers

Answer:

Step-by-step explanation:

-8y-4x^3-1

Answer:

-1 - 8y - 4x³

or

-8y - 4x³ - 1

or

4x³ - 8y - 1

Step-by-step explanation:

7 - 6y - 5x³ - 1 + x³ - 7 - 2y

add LIKE terms

- 6y - 2y

7 - 1 - 7

-5x³ + x³

=

-1 - 8y - 4x³

Hope this helps and a thank won't hurt! :)

I'm timed! can someone please help me solve this problem.. ​

Answers

Answer:

C

Step-by-step explanation:

WILL GIVE BRAINLIEST AND I SWEAR TO GOD IF ONE MORE BOT ANSWERS AND MAKES IT TO WHERE NO ONE ELSE CAN ANSWER


One challenge of federalism is that

power and authority are concentrated in the central government and can take away people’s rights
sometimes officials from different levels of government disagree on who should be in charge of a situation
local governments have the most power, which creates problems for trade with other nations
officials from state governments have too many rules to follow to be effective leaders

Answers

Answer:

local governments have the most power

Step-by-step explanation:

I hope this is right, but federalism gives more power to the state, so local governments could potentially have more power.

Answer:

i believe it is option one: power and authority are concentrated in the central government and can take away people’s rights

Step-by-step explanation: well i mean its true the governments are corrupted and are slowly taking away our rights

What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.

Answers

Answer: use distributive property

Step-by-step explanation:

you must always start from the numbers in the parentheses

if 20 articles cost $90,then the cost of 9 articles is

Answers

Answer:

$40.50

Step-by-step explanation:

90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.  

Please help meeeeeeeeeeeeee

Answers

Answer:

-47

Step-by-step explanation:

First term in the sequence is given as 30. The common difference (difference between first term and next term) is -7. Since we are looking for the 12th term we can do 30 - (11 * -7) = -47. It's 11 * -7 because we already are given one term in the problem statement.

-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?

A)0
B)1
C)2
D) Infinite

Answers

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

Someone help please

Answers

Answer:

[tex]6^\frac{1}{10}[/tex]

It appears that the answer is 6 1/10 and I know because I aced the test all answers correct lol

Please help Please help

Answers

Answer:

with what

Step-by-step explanation:

2 times a number less 4 is 20

Answers

Answer:

68?

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Let the number be x

4x- 12=20 (12 less than 4 times a number is 20)

4x= 20 +12

4x=32

x=8

Hope this helps!!

Which equation represents a line which is parallel to y = 0?

A) y = 3
B) x = -8
C) y = x - 1
D) x = 4y

Answers

Answer:

y=3

Step-by-step explanation:

Horizontal Lines

To my knowledge the answer is c. As x is equal to 1 so therefore 1 - 1 = 0

need help with math

Answers

Ah sorry I got it wrong, dear

B. 1/2

Explanation: 1/4 of grape juice as already in the bottle and then a mixture containing orange, grape and apple filled the bottle meaning the mixture was 3/4. If the mixture contained equal amounts of each juice it means 1/3 of each juice was in the mixture so 1/4 plus 1/4(the original amount of grape juice that was in the bottle before the mixture was added) is equal to 2/4 simplify that and you have 1/2

consider the expression
[tex] \sqrt{a^{2} + 12 } + |b| [/tex]
when a = -2 and b= 14. what is the value of the expression?

show work​

Answers

Answer:

18

Step-by-step explanation:

[tex]\sqrt{((-2)^2 + 12)} + 14[/tex]

= [tex]\sqrt{(4 + 12)} + 14[/tex]

= [tex]\sqrt{16}+14[/tex]

= 4 + 14

= 18

Hope this helps!

Answer:

[tex] \sf 18[/tex]

Step-by-step explanation:

[tex] \sf = \sqrt{ { - 2}^{2} + 12} + |14| [/tex]

[tex] \sf = \sqrt{(( - 2) \times ( - 2)) + 12} + 14[/tex]

[tex] \sf = \sqrt{4 + 12} + 14[/tex]

[tex] \sf = \sqrt{16} + 14[/tex]

[tex] \sf = \sqrt{ {4}^{2} } + 14[/tex]

[tex] \sf = 4 + 14[/tex]

[tex] \sf = 18[/tex]

Find the length of the hypotenuse of a right triangle where the perpendicular sides are 3 in. And 4in. In length

Answers

Answer:

5 inches

Step-by-step explanation:

To find the hypotenuse or any side of a right triangle, use the Pythagorean theorem. This is [tex]a^2+b^2=c^2[/tex] where a and b are the perpendicular sides and c is the hypotenuse. So, plugin  3 and 4 for a and b. This gives 9+16=c^2, which is equal to 25=c^2. Then, take the square of both sides to get c=5.

Another way to solve this is to know the triples. Triples are right triangles that have integers for all of their sides. The triple 3,4,5 is the smallest and most common triple.

write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4)

Answers

Answer:

[tex]y = \frac{-2}{3}x + 2[/tex]

Step-by-step explanation:

The first step is convert the given equation in a dependent and independent equation.

[tex]2x + 3y = 12[/tex]

[tex]3y = 12 - 2x[/tex]

[tex]y = 4 - \frac{2}{3}x[/tex]

[tex]x[/tex] is the independent variable and [tex]y[/tex] the dependent variable.

Since both lines are parallel the slope of both equations are the same

[tex]y = \frac{-2}{3}x + b[/tex]

Now for find the unknow [tex]b[/tex] replace the [tex]x[/tex] and [tex]y[/tex] fo the given point.

[tex]4 = (\frac{2}{3})3 + b[/tex]

[tex]4 = 2 + b[/tex]

[tex]4 - 2 = b[/tex]

[tex]2 = b[/tex]

So the final equation is equal to

[tex]y = \frac{-2}{3}x + 2[/tex]

Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.

Answers

The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

Find out more at: https://brainly.com/question/18563587

Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105° 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =
please help (:​

Answers

Answer:

m∠2 = ______75__

m∠3 = ____105____

m∠4 = _____75___

Step-by-step explanation:

i did the math

if there was 200 kids= 100% and 43 of them left what is the percent

Answers

Answer:

It would be 86 as 43% of 200 is 86

Step-by-step explanation:

In the equation 80 divided by 10=8 the number 80 is the

Answers

80 is the number you just divided 10 with??

how many yards are there in 2 miles

Answers

Answer: 3520

please give brainliest

Step-by-step explanation:

Answer:

3,520 miles in a Yard.

Step-by-step explanation:

In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?

Answers

Answer:

n a math class with 26 students, a test was given the same day that an assignment

was due. There were 17 students who passed the test and 18 students who completed

the assignment. There were 15 students who passed the test and also completed the

Answer:

3/26

Step-by-step explanation:

Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.

Plz mark as brainliest

Help with this problem pls!

Answers

Answer:

uh.. shii i dont know

Step-by-step explanation:

Find the surface area of a cube
with side length 8.5 cm.

Answers

Answer:   433.5 square cm

=========================================================

Explanation:

A cube has 6 identical faces, all of which are squares.

Each square has a side length of 8.5 cm, so its area is (8.5)^2 = 72.25 sq cm.

The overall surface area, aka the area of all 6 faces combined, is 6*72.25 = 433.5 square cm

Answer:

A=433.5cm²

Step-by-step explanation:

A=6a2=6·8.52=433.5cm²

The circumference of a circle is 14.444 miles. What is the circle's diameter?

Answers

Answer:

2.29883

formula

[tex]c = 2 \times \pi \times r[/tex]

solving for (r) radius

[tex]r = \frac{c}{2\pi} = \frac{14.44}{2 \times \pi} [/tex]

= 2.29883

3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answers

Answer:

£86.50

Step-by-step explanation:

To find how much 10 t-shirts cost we have to find how much they cost individually.

3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.

8.65 x 10 T-Shirts = £86.50

solve the median of 4,5,3,4,3,1

Answers

Answer:

arrange them in order = 1,3,3,4,4,5

then cancel them slowly from both side = 3,3,4,4

until u find a single number or two number.

for two number which is same as this do (3+4)/2 which is 7/2 = 3.5

Step-by-step explanation:

4,5,3,4,3,1 (n = 6)

[tex] \\ \tt median = \frac{n + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]

[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]

how many miles did Candice bike on her route?

Answers

Answer:

200miles per hour andv50 9

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