Mathematics High School

PLEASE HELP!!!!! For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work.

y = -2x^2 + 2x +2

Answers

Answer 1
vertex = (1/2,5/2) x= 1 + or - square root of 5-2y all over 2
Answer 2

We are given this equation

[tex] y=-2x^{2} +2x+2 [/tex]

The vertex form is given by:

[tex] y=a(x-h)^{2} +k [/tex]

Now let us try to convert our equation into vertex form:

[tex] y=-2x^{2} +2x+2 [/tex]

Vertex form is given by:

[tex] y=-2(x-0.5)^{2} +2.5 [/tex]

comparing our equation with vertex form ,

The vertex (h,k) is (0.5, 2.5)

Next we have to find y when x=6, plugging x as 6 in the given equation,

[tex] y=-2(6)^{2} +2(6)+2 [/tex]

y=-58

So at x=6, y=-58.

Related Questions

Carl puts 1.10$ in his penny bank every day in the month of July (31 days). His total savings was 55.00$ at the end of June. What is the best estimate for Carl's savings at the end of July? (no I did not make a typo)

Answers

Hello!

To estimate Carl's savings at the end of the month, we must round the $1.10 Carl puts in his bank to $1 as it is closest to $1, and then multiply that by the number of days in July (31).

1 × 31 = 31

A N S W E R:

The best estimate for Carl's savings at the end of the month of July is $31.

What is 38.224 rounded to the nearest whole number?

Answers

Hello,

Here is your answer:

The proper answer to this question is "39".

8 is greater than 5 therefore it rounds up one.

Your answer is 39.

If you need anymore help feel free to ask me!

Hope this helps!

Kelly is hanging shelves in her closet. She can buy shelves for $1.25 a foot. Kelly buys one 5-foot shelf and a shelf that measures 24 inches. The rest of her materials cost $90. How much change will she get it she pays with $100?

Answers

Hello!

There are 12 inches in a foot.

Kelly buys two shelves that measure 7 feet altogether, and the cost of each foot is $1.25.

Multiply the number of feet by the cost per foot.

7 × 1.25 = 8.75

Add this to the cost of the rest of her items.

90 + 8.75 = 98.75

Finally, subtract this from the $100 Kelly will use to pay.

100 - 98.75 = 1.25

ANSWER: Kelly will receive $1.25 change after her payment.

Please help thank you very much.

Answers

area = L x H
area = 12 * 3
area = 36 in^2
 answer is C

If your front lawn is 15.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1450 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 1.70 mg.
.. ......

it's my first college chm and I forgot how to do such word problems, would you help me please, thank you

Answers

First determine how many square feet there are in the front lawn. 
 (15.0 ft) x (20.0 ft) = 300. ft^2 
 Now find how many snow flakes land in the entire lawn. 
 (300. ft^2) x (1450 snow flakes/min/ft^2) = 435,000 snow flakes/min 
 Now find the total mass of snow landing on the lawn per hour. 
 (435,000 snow flakes/min) x (1.70 mg/snow flake) x (1 kg/1,000,000 mg) x (60 min/1hour) = 44.4 kg of snow per hour.

BRIANLIESTTTTTTTTTTTT ASAP!

Answers

Step 7 is the only incorrect step. The denominator of the expression on the right should be 2a, not 4a.

What effect does replacing x with 6 have on the graph for the function f(x)?
F(x)=|x+3|-2

Answers

See attachments for your Answer

Answer:

The graph is shifted left 6 units

Step-by-step explanation:

Hope this helps all in need~!! :3 Have a wonderful day, and remember- You're the best! No one does you quite like you do<3

For the quadrilateral shown below, what is m∠a + m∠c ? A.)53 B.)137 C.)180 D.)233

Answers

I think it's C. I hope this helps!!

The value of the given expression m∠a + m∠c is 233 degrees and this can be determined by using the given data.

Given :

Quadrilateral ABCD.Angle B is 95 degrees.Angle D is 32 degrees.

The following steps can be used in order to determine the value of the given expression:

Step 1 - The sum of interior angles of the quadrilateral is 360 degrees.

Step 2 - According to the given data, angle B is 95 degrees and angle D is 32 degrees.

Step 3 - So, the value of the given expression can be calculated as:

[tex]\angle A+\angle B+\angle C+\angle D = 360[/tex]

[tex]\angle A+95+\angle C+32 = 360[/tex]

Step 4 - Simplify the above expression.

[tex]\angle A+\angle C = 360-95-32[/tex]

[tex]\angle A+\angle C = 233[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/6321910

What is the equation of a line that is perpendicular to the line represented by y = 3/4 x - 1/2?

Answers

The slope of the given line is the x-coefficient, 3/4. The slope of a perpendicular line will be the negative reciprocal of that, -1/(3/4) = -4/3.

A line with a y-intercept of zero will do.
.. y = (-4/3)x

Find the common ratio geometric sequence please

Answers

recall that in a geometric sequence, you multiply the "current" one by the common ratio to get the "next" so, if you divide "next"/"current", the quotient is just the common ratio,

[tex]\bf \cfrac{27}{243}=\cfrac{3}{27}=\cfrac{\frac{1}{3}}{3}=\cfrac{\frac{1}{27}}{\frac{1}{3}}\implies \cfrac{1}{9}\impliedby \textit{common ratio}[/tex]

notice, all we did was, divide the value, by the number to its left-hand-side.

Sam picked a card from a standard deck. what is the probability that sam picked a heart or a king? one over thirteen sixteen over fifty two

Answers

The answer is 16 over 52. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)

A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. find the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating. round to the nearest thousandth if necessary.

Answers

65%= 0.65.  The probability that all 11 selected graduates found a job in their chosen career would be (0.65)^11, because the probabilities are independent (one person getting a job in their field does not influence another person getting a job in their field).  This comes out to 0.009 to the nearest thousandth.

The probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).

According to the question, at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.

At random 11 candidates are selected from the college so, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is-

[tex](0.65)^{11}=0.00875\\(0.65)^{11}\approx0.009[/tex]

Hence, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).

Learn more about probability here:

https://brainly.com/question/23044118?referrer=searchResults

A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.

What is the volume of the statue?

___ft³

Answers

Simple. First write down the equation.
(a^2)h/3
Next, plug in the variables you know.
(723^2)341/3
(522,729)(113.67)
= 59,416,863 is your answer.
Hope this helps!

Answer:

The volume is[tex]=59,416,863ft^3[/tex]

Step-by-step explanation:

Given A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.

Base edge=a=723 feet.

Height=h=341 feet

As, [tex]\text{Volume of square pyramid is=}(a^2)\frac{h}{3}[/tex]

Substitute the values of a and h, we get

[tex]V=(723^2)\frac{341}{3}[/tex]

    [tex]=(522,729)(113.67)[/tex]

    [tex]=59,416,863ft^3[/tex]

The price of a gallon of unleaded gas has dropped to $2.81 today. yesterday's price was $2.88 . find the percentage decrease. round your answer to the nearest tenth of a percent.

Answers

The percentage decrease is approximately -2.4%.

To find the percentage decrease in price, we can use the formula:

Percentage decrease = ((New price - Old price) / Old price) * 100

Using the given information, we substitute the values into the formula:

Percentage decrease = ((2.81 - 2.88) / 2.88) * 100

Simplifying the expression, we get:

Percentage decrease = (-0.07 / 2.88) * 100

Converting to a decimal and multiplying by 100, we find:

Percentage decrease = -0.0243 * 100 = -2.43%

Rounding to the nearest tenth of a percent, the percentage decrease is approximately -2.4%.

Learn more about percentage decrease here:

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please help :)
.....................

Answers

There are web sites and videos that stand ready to show you how to bisect an angle.

The basic idea is that you draw an arc through both rays so that the points of intersection are the same distance from the vertex. Then, you construct a perpendicular bisector of the segment between those intersection points. That will bisect the angle.

For (3), you bisect each of the angles made by the original bisector. (1/2 of 1/2 = 1/4)

The sum of two integers is 26. The larger of the two integer is 2 more than 3 times the smaller integer

Answers

if y is 16 the x is 2y+3=2•26+3= 51
i think this is the answer i forgot this but this is so easy.
Two integers are x and y
sum of two integers (x+y) = 26
x = 2 + 3y
plug that into equation above:
x + y = 26
(2+3y)+y = 26
4y +2-2 = 26-2
4y = 24
4y/4 = 24/4
y = 6
x = 2 + 3y = 2 + 18 = 20

Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of Triangle 1 measuring 52 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 75% of the length of Triangle 1. She continues painting triangles inside triangles using the 75% reduction factor. Which triangle will first have a side length of less than 26 inches?

Answers

Triangle 4. There you go

It was triangle 4 for my answer. You have different measurements but im sure its possibly the same answer. hope this helps!

A theater has 1200 seats. each row has 20 seats. write and solve an equation to find the number xx of rows in the theater. an equation that represents this problem is =1200=1200. there are rows in the theater.

Answers

Answer:

The equation is 20x = 1200

x=1200÷20

x=60 rows

Step-by-step explanation:

Answer for function

Answers

3, -6, 2 will be your three roots

What is the set of all possible outcomes of a probability experiment?

Answers

So basically its all the numbers that are can be an answer for example if ur looking at a dice you set of all possible outcomes will be {1,2,3,4,5,6} because a dice has 6 possible out comes
Final answer:

The set of all possible outcomes of a probability experiment is called the sample space. It can be represented as a list, a table, or using set notation.

Explanation:

The set of all possible outcomes of a probability experiment is called the sample space. It is denoted by the symbol Ω. The sample space can be represented as a list, a table, or using set notation.

For example, if we are flipping a fair coin, the sample space would be {H, T}, where H represents heads and T represents tails.

In another example, if we were rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}.

Learn more about Probability here:

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What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?

Answers

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& -4~) % (c,d) &&(~ -8 &,& 1~) \end{array} \\\\\\ d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{(-5)^2+5^2}\implies d=\sqrt{50}\implies d=\sqrt{25\cdot 2}\implies d=\sqrt{5^2\cdot 2} \\\\\\ d=5\sqrt{2}[/tex]

What is the solution of 3+ (x-2)/(x-3) <=4

X<3
X<=3
X>3
X>=3

Answers

I believe that it's x<3

Answer:

A. X < 3.

Step-by-step explanation:

We have the equation, [tex]3 + \frac{x-2}{x-3} \leq 4[/tex]

Adding -4 on both sides, we get,

[tex]\frac{x-2}{x-3} -1 \leq 0[/tex]

i.e. [tex]\frac{x-2-x+3}{x-3} \leq 0[/tex]

i.e. [tex]\frac{1}{x-3} \leq 0[/tex]

So, we have the inequality [tex]\frac{1}{x-3} \leq 0[/tex].

Its critical points are given by  x-3 = 0 which implies x = 3.

Now, we will find the region among the two [tex]( - \infty , 3 )[/tex] and [tex]( 3 , \infty )[/tex] that satisfies the inequality [tex]\frac{x-2}{x-3} -1 \leq 0[/tex]

Substitute x = 2 in the above inequality, we get -1 < 0, which is true. Again, substitute x=4 gives 1 < 0, which is false.

As x=4 lie in the region  [tex]( 3 , \infty )[/tex] , it cannot be the solution of the given inequality.

So, the solution of the given inequality is the region [tex]( - \infty , 3 )[/tex] .i.e. x < 3.

Hence. option A is correct.

A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x ​, where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 ​years?

Answers

Since x is the number of 14-year periods, the first thing we do is divide 28 years by 14. 28/14=2.  Now we use that in our function, [tex]y=55*2^x[/tex].

[tex]y=55*2^2=55*4=220[/tex]
There will be 220 foxes after 28 years.

Final answer:

To find the fox population after 28 years, we use the function y = 55 × 2^x, with x = 2 because 28 years is two 14-year periods. After calculating 2^2 and multiplying by 55, we find that there will be 220 foxes.

Explanation:

To calculate the number of foxes in a wildlife preserve after 28 years, given that the population doubles every 14 years, we start with the function y = 55 × 2^x, where x represents the number of 14-year periods.

Since 28 years is equivalent to 2 periods of 14 years, we will substitute x with 2:

Write down the equation substituting x with 2: y = 55 × 2^2.Calculate the exponent: 2^2 = 4.Multiply the base population by 4: 55 × 4 = 220.

Therefore, after 28 years, there will be 220 foxes in the wildlife preserve.

Then in a rectangle the ratio of the width to the length is 4:5 of the rectangle is 45 cm long what is the width

Answers

If the length is 45 cm, then..
4:5 is our ratio.
Our new ratio would be 36:45.
The width is 36 cm. Hope it helps! :) If you could vote my answer as the brainiest, that would be awesome! :)

Answer: the answer would be 36:45

Step-by-step explanation: Hope this helps please bore brainlyiest est.

On Friday night, 165 people saw the dinosaur exhibit at the natural history museum. This amount represents 22% of the people who visited the museum that night.

Select from the drop-down menu to correctly identify the total number of people who visited the museum Friday night.

A total of people visited the natural history museum Friday night.

Answers

749 people, 165 is 22% of 100 %.  so 4.5 x more people attended. 4.5 x165 is 749.1 so, 749 people attended.  (749people  x 22% equals 164.78 people)

The answer is 750 people visited the natural history musem Friday night.

​ Quadrilateral ABCD ​ is inscribed in this circle. What is the measure of angle C? Enter your answer in the box.

Answers

Answer:

[tex]m<C=62\°[/tex]

Step-by-step explanation:

we know that

In an inscribed quadrilateral opposite angles are supplementary

so

In this problem

[tex]m<D+m<B=180\°[/tex]

[tex]m<C+m<A=180\°[/tex]

step 1

Find the value of x

[tex]m<D+m<B=180\°[/tex]

substitute the values and solve for x

[tex](x+20)\°+(3x)\°=180\°[/tex]

[tex]4x=180\°-20\°[/tex]

[tex]x=160\°/4=40\°[/tex]

step 2

Find the measure of angle A

[tex]m<A=(2x+38)\°=2(40\°)+38\°=118\°[/tex]

step 3

Find the measure of angle C

[tex]m<C+m<A=180\°[/tex]

substitute the values and solve for m<C

[tex]m<C+118\°=180\°[/tex]

[tex]m<C=180\°-118\°=62\°[/tex]

Select all of the following that are quadratic equations.

7x2 + 14x = 0
x3 - 3x2 + 1 = 0
5x - 7 = 0
x2 + 3x -5 = 0
x - 5 = 9x + 7
x2 - x = 3x + 7

Answers

A quadratic equation is one in which the highest exponent of x is 2.
[tex]7x^2+14x=0[/tex] is quadratic; the highest exponent is 2.
x³-3x²+1=0 is NOT quadratic.  The highest exponent of x is 3, not 2.
5x-7=0 is NOT quadratic.  The highest exponent of x is 1, not 2.
x²+3x-5=0 is quadratic; the highest exponent of x is 2.
x-5=9x+7 is NOT quadratic.  The highest exponent of x is 1, not 2.
x²-x=3x+7 is quadratic; the highest exponent of x is 2.

Mrs. Pine took tennis lessons. She traveled 15 miles one way at an average cost of $0.45 per mile. Her racket cost $84, balls cost 15.50, shoes cost $47.00, her warm-up was $32, and her shorts were on sale for $22. She paid 5% sales tax on her equipment and $25.00 per lesson for 10 lessons. Including the cost of round-trip travel for all 10 lessons, what did this cost?
A. $474.03
B. $486.53
C. $595.53
D. $608.03

Answers

The answer is C because ypi meed tp ad up the equipment witch will get you 210.525 an after that and then you take 30 X .45 yo get 13.5 after that u add 13.5 + 25 to get 38.5 and second to last you times it by 10 to get 385 and lastly you add the 210.525 + 385 = 595.525 rounded to 595.53

Answer:

$595.53

Step-by-step explanation:

o-ware

which figure could be the intersection of two planes? A. ray B. line C. point D. segment

Answers

The answer to this question is (B)

Answer: The answer is B line

Step-by-step explanation:

Please only math geniuses help, what is x+1/5y=-6 in slope intercept form?

Answers

y=-5x-30. 

Subtract from each side (1/5y=-x-6 )
Then multiply by 5/1 on both sides to get rid of the 1/5 (y=-5x-30)
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