Which equation is y = –6x2 + 3x + 2 rewritten in vertex form?

Answers

Answer 1
y = -6x^2 + 3x + 2
y = -6(x^2 - 0.5x) + 2
y = -6[ (x - 0.25)^2 - 0.0625] + 2
y =  -6(x - 0.25)^2 + 2.375  Answer
Answer 2

Answer:

c

Step-by-step explanation:


Related Questions

Rodney bought a 25-pound bag of dog food.His dog at 10 2/5 pounds of food in the first month and 10 4/5 pounds of the food in the second month.How much dog food,in pounds, was remaining in the bag at the end of the two months

Answers

10 4/5+ 10 2/5= 20 1/5 
25- 20 1/5 = 4 4/5 pounds of dog food is left.
Add the two together 10 2/5 + 10 4/5 =21 1/5 
Take 25 and subtract it by 21 1/5 you would get 3 4/5 
which would be 3.8 pounds 

A Hummingbird moves its wings at a rate of 5520 wingsbeats a minute. Write this rate in wingbeats per second?

Answers

Should be just 92 wingbeats per second.

The required rate of wingbeats per second is 92.

A Hummingbird moves its wings at a rate of 5520 wingsbeats a minute. Write this rate in wingbeats per second?

What is rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

given rate = 5520 wingsbeats a minute.
      now to convert it in seconds divide it by 60

= 5520/60
= 92 wingsbeats a second

Thus, The required rate wingbeats per second is 92.

Learn more about rate of change here: https://brainly.com/question/13103052

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What is the area of the polygon

Answers

The figure is a triangle.

Formula:
Area of triangle = 1/2 x base x height


Area of triangle = 1/2 x 22 x 9
Area of triangle = 99 square units

Help please !!!!!!!!!!!!!!!!!???!?

Answers

Answer: D) 5

---------------------------------------------

The idea is to go through each answer choice and see if that value is in the range. To do so, draw a horizontal line from that value at the y axis and see if it crosses the graph.

So for example, for choice A, we draw a horizontal line through -2 on the y axis. You'll see that the horizontal line crosses the green part of the piecewise function graph. So y = -2 is in the range. Similar situations will happen for B and C as well. 

The only time that this doesn't happen is when y = 5. Draw a horizontal line through 5 on the y axis. This horizontal line is too high to cross through any part of the piecewise function. So y = 5 is not in the range

Which is why the answer is choice D

Refer to the figure below to complete the following item. Given: Quadrilateral ROSE is trapezoid with median If MN = 24 and ES = 10, then RO = 27 30 38

Answers

18 is you answer. Hope this helps.

Answer:

The length of RO is 38.

Step-by-step explanation:

Given information: ROSE is trapezoid with median If MN = 24 and ES = 10.

Sufficient information is not given. This question can be solved if it is given that  [tex]RO\parallel ES[/tex].

According to the properties of trapezoid the length of the median is the average of length of parallel sides.

Let [tex]RO\parallel ES[/tex] and length of RO be x.

Since MN is median, therefore

[tex]MN=\frac{RO+ES}{2}[/tex]

[tex]24=\frac{x+10}{2}[/tex]

[tex]48=x+10[/tex]

[tex]x=38[/tex]

Therefore length of RO is 38.

Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x 3 + 44x 2 y + 17 and y 3 - 11xy 2 + 2x 2 y - 13x 3? y 3 - 6x 3 + 33x 2y + 2xy 2 + 17 20x3 - y3 + 33x 2y + 2xy 2 + 17 31x 3 - 6x 3 + 44x 2y + 11xy 2 + 17 32x 3 - y 3 + 42x 2y + 11xy 2 + 17

Answers

[tex](19x^3+44x^2y+17)-(y^3-11xy^2+2x^2y-13x^3) [/tex]
We can use the distributive property to distribute the subtraction sign:
[tex]19x^3+44x^2y+17-y^3--11xy^2-2x^2y--13x^3[/tex]
When we subtract a negative it is the same as adding a positive:
[tex]19x^3+44x^2y+17-y^3+11xy^2-2x^2y+13x^3[/tex]
Gather the like terms:
[tex]19x^3+13x^3+44x^2y-2x^2y+17-y^3+11xy^2 \\ \\=32x^3+42x^2y+17-y^3+11xy^2[/tex]
Rearrange the polynomial in order of powers to x, greatest to least:
[tex]32x^3+42x^2y+11xy^2-y^3+17[/tex]

Answer:

32 x^3 - y^3 + 42 x 2y + 11 xy^2 + 17

128,96,72,54,...find the common ratio

Answers

Final answer:

To find the common ratio of the given sequence, divide each term by the previous term. The common ratio is 0.75.

Explanation:

The given sequence is: 128, 96, 72, 54, ...

To find the common ratio, we need to determine the ratio between consecutive terms. We can do this by dividing each term by the previous term.

Ratio between the 2nd and 1st terms: 96/128 = 0.75

Ratio between the 3rd and 2nd terms: 72/96 = 0.75

Ratio between the 4th and 3rd terms: 54/72 = 0.75

Since the ratio is the same for all consecutive terms, we can conclude that the common ratio of this geometric sequence is 0.75.

The correct common ratio for the given sequence is [tex]\(\frac{3}{4}\) or 0.75.[/tex]

To find the common ratio of the sequence, we divide each term by the previous term and look for a consistent value:

1. For the second term, \(96\), divided by the first term, [tex]\(128\)[/tex], we get:

[tex]\[ \frac{96}{128} = \frac{3}{4} = 0.75 \][/tex]

2. For the third term, [tex]\(72\),[/tex] divided by the second term, [tex]\(96\),[/tex] we get:

[tex]\[ \frac{72}{96} = \frac{3}{4} = 0.75 \][/tex]

3. For the fourth term, [tex]\(54\),[/tex] divided by the third term, [tex]\(72\)[/tex], we get:

[tex]\[ \frac{54}{72} = \frac{3}{4} = 0.75 \][/tex]

which numerical expression would provide the solutions to the equation 7x^2 + 4x - 8 = 14

Answers

we have that
7x^2 + 4x - 8 = 14-----------------> 7x²+4x-22=0
Step 1
Solving a second degree equation
x1=[-b+√(b²-4ac)]/2a
x2=[-b-√(b²-4ac)]/2a
a=7
b=4
c=-22
then
x1=[-4+√(4²-4*7*(-22))]/(2*7)-----------> [-4+√(632)]/(14)
x1=-(-4+25.14)/14=1.51 

x2=[-4-√(4²-4*7*(-22))]/(2*7)-----------> [-4-√(632)]/(14)
x2=-(-4-25.14)/14=-2.08 

the solutions of the system is 
x1=1.51
x2=-2.08
to check the result

using a graph tool
see the attached figure

the answer is 
the numerical expressions is
x1=[-b+√(b²-4ac)]/2a
x2=[-b-√(b²-4ac)]/2a


Final answer:

The quadratic equation 7x^2 + 4x - 8 = 14 does not have any real solutions.

Explanation:

The given equation is a quadratic equation of the form at² + bt + c = 0, where a = 7, b = 4, and c = -22. To find the solutions, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values, we get:

x = (-4 ± √(4² - 4(7)(-22))) / (2(7))

Simplifying further, we get:

x = (-4 ± √(16 - 616)) / 14

x = (-4 ± √(-600)) / 14

The expression inside the square root is negative, which means there are no real solutions to the equation.

ABE Software creates customized software that sells for $3,816,981.10 total. ABE Software’s cost is $1,723,000.00 and overhead expenses are estimated at 47% of the selling price. What is ABE Software’s net profit to the nearest dollar?

Answers

$3,816,981.10 -0.47*3,816,981.10 -1,723,000.00 = $299,999.983

Net profit, rounded to the nearest dollar, is $300,000.

The graph shows the amount of money the Phillips family spent each month on groceries.
When did the greatest month-to-month increase in spending occur?
July–August
April–May
June–July
May–June

Answers

Your answer is from July to August.

Answer:

Option A. July-August.

Step-by-step explanation:

Phillips family spent each month on groceries. The amount of money in each month is shown in a graph.

Approximate amount in each month was spent :

March : $450

April  : $400

May  :  $400

June  :  $500

July  :  $300

August : $ 500

Sep.  :  $480

Oct. : $420

From the graph given, there is a greatest month to month increase in spending occur in July to August (from $300 to $500).

So Option a. July-August is the correct answer.

Today's newspaper contains a 20%-off coupon at Old Army. The $100 jacket that you want was already reduced by 40%. What as the final price that you paid for the jacket

Answers

100-40%=60
60-20%=48
$48.00 is the final price you pay.
Answer:

The final price that is paid for the jacket is:

                    $ 48

Step-by-step explanation:

The actual cost of jacket was: $ 100

The cost of the jacket was reduced by 40%

This means that the after reduction of 40% the jacket will cost:

[tex]100-\dfrac{40}{100}\times 100\\\\\\=100-40\\\\=60[/tex]

This means that the cost of jacket after 40% reduction is: $ 60

Also, there was a coupon that contains 20% off.

This means that the jacket will actually cost:

[tex]60-\dfrac{20}{100}\times 60\\\\\\=60-12\\\\\\=48[/tex]

                    The final price of jacket is:

                              $ 48

A group of 500 transistors is known to contain one defective unit. What is the probability that a transistor selected at random from the lot is the bad one?

Answers

So, we can define probability as the following ratio: Number of successful outcomes over Number of total outcomes. Suppose we define an event to be the drawing of one transistor from the lot. If we want to calculate the probability that it is defective, a "successful" event would be drawing a defective transistor. Hence there is 1 successful event. But we can choose from 500 transistors, hence there are 500 total outcomes. Thus, the ratio that defines the probability P is: p=1/500. Calculating this, yields that p=0.002 or p=2%

The answer is 1/500 because it will always be the probability of the event occurring/total events

Find a second-degree polynomial p such that p(1) = 5, p'(1) = 7, and p''(1) = 10.

Answers

When p(x) = ax^2 +bx +c
p'(x) = 2ax +b
p''(x) = 2a

You require
.. 2a = 10
.. 2a +b = 7
.. a + b + c = 5

Thus a=5, b=-3, c=3, and
.. p(x) = 5x^2 -3x +3
Final answer:

The given conditions suggest a second-degree polynomial of form p(x) = ax^2 + bx + c. By solving the given conditions a = 5, b = -3, and c = 3, yielding the polynomial p(x) = 5x^2 - 3x + 3.

Explanation:

The question is asking for a second-degree polynomial, which can generally be written in the form p(x) = ax^2 + bx + c. Given that p(1) = 5, that means a + b + c = 5. The derivative of p(x), p'(x) = 2ax + b, and p'(1) = 7, so 2a + b = 7. The second derivative, p''(x) = 2a, and p''(1) = 10, so 2a = 10 or a = 5. We can substitute a = 5 into the first two equations to find the values of b and c. So, b = -3 and c = 3. Therefore, the original function is p(x) = 5x^2 - 3x + 3.

Learn more about Second-degree polynomial here:

https://brainly.com/question/31062879

A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Which expressions represent the total amount Jordan will receive if he sells “n” games that originally cost “d” dollars each? Check all that apply.

Answers

correct answers are n(d-18) and dn - 18n

Answer:

B. [tex]n(d-18)[/tex]

D. [tex]dn-18n[/tex]

Step-by-step explanation:

Let d represent the original price paid for the game.

We have been given that a local buys used video games. For each game bought, they will pay $18 less than the original price paid for the game.

The price of used video game would be original price minus 18. We can represent this information in an expression as:

[tex]d-18[/tex]

We have been given that Jordan sold n games, so the cost of n used games would be [tex]n(d-18)[/tex].

Using distributive property we will get,

[tex]n(d-18)=dn-18n[/tex]

Therefore, option B and D are correct choices.

What is 5/8 ± 2/5? Please Help easy points

Answers

easy points thank you so much :^)

How to find common difference of arithmetic sequence given first and last term?

Answers

Yeah there is a way... Lemme give a typical question...
Find the common difference of an arithmetic progression whose first term Is 1 and last term is 1023...

First term = T¹ =a
Last term = Tn = a + (n-1)d

Since your given the values of the first and the last term... You can substitute

Tn = 1 + (1023-1)d

1023 = 1 + 1022d

1022d = 1023 - 1

1022d = 1022

common difference = 1...

So there is a way....

You can get the common difference using the two terms given...

Hope this helped...

Final answer:

To find the common difference, subtract the first term from the last term and divide by the number of terms minus 1.

Explanation:

To find the common difference of an arithmetic sequence given the first and last term, you can use the formula: common difference = (last term - first term) / (number of terms - 1). First, subtract the first term from the last term. Then, subtract 1 from the number of terms. Finally, divide the result of the subtraction by the number of terms minus 1 to find the common difference.

Please HELP NEEDED ASAP APPRECIATED !! Brainlestwill be given

Answers

I think you were given (sqrt(x))^5 
sqrt(x) = x^(1/2) so 
(x^(1/2) )^5 = x^(5/2)
The answer closest to the bottom of the page <<<<===== answer.


Answers please???????

Answers

The area is the same no matter how you calculate it.
.. A = b*h
.. 10*h = 9.8*5.6
.. h = 9.8*5.6/10
.. h = 5.488

Cody graphed a quadratic equations, y = -(x+3)^2 + 1. What were cody's mistakes?

Answers

We can see in the graph attached below how the real curve would look.

The vertex of cody's graph was ploted in x = 3, where it should be x = -3

This changes the position of the parabola

Answer:

the answer is d

Step-by-step explanation:

The vertex and the axis of symmetry are graphed incorrectly.

how many bricks 3.75 in wide times wide x 8 in long are required to cover a patio 13 ft. 6 in wide by 18. 9 ft long

Answers

3.75 x 8 = 30 in (brick size)

13 x 12 = 156
156+6 = 162
18.9 x 12 = 226.8
226.8 x 162 = 36741.6 in (patio size)

36741.6 / 30 = 1224.72

You need 1224.72 bricks
(or round to 1225)

In calculating the present value of $1,000 to be received 5 years from today, the discount factor has been calculated to be .7008. what is the apparent interest rate?

Answers

To calculate the present value we shall proceed as follows:
from the present value table, the percentage corresponding to discount factor of 0.7008 in 5 years is 7%
therefore using the formula:
FV=PV(1+r/100)^n
where:
FV=$1000
PV=?
r=7%

hence:
1000=PV(1+7/100)^5
PV=1000/(1+7/100)^5
PV=712.986

BRAINLIESTTT ASAP!!!!

Answers

The curves cross at x=-3.5 and at x=-0.5.

The 1st selection is appropriate.

I don't get it x/5 + x+4/3 = 4

Answers

[tex] \dfrac{x}{5} + \dfrac{x + 4}{3} = 4 [/tex]

[tex] \dfrac{x}{5} \times \dfrac{3}{3} + \dfrac{x + 4}{3} \times \dfrac{5}{5} = 4 [/tex]

[tex] \dfrac{3x}{15} + \dfrac{5x + 20}{15} = 4 [/tex]

[tex] \dfrac{8x + 20}{15} = 4 [/tex]

[tex] 8x + 20 = 60 [/tex]

[tex] 8x = 40 [/tex]

[tex] x = 5 [/tex]
I explained the answer for you

Ciara solved the exponential equation 3x+1 = 15 and her work is shown below. What is the first step she did incorrectly? (3 points) Step 1: log 3x+1 = log15 Step 2: (x + 1)log 3 = log15 Step 3: log3 = log 15 over x plus 1 Step 4: 0.477121 = 1.176091 over x plus 1 Step 5: 0.477121(x + 1) = 1.176091 Step 6: x + 1 = 1.176091 over 0.477121 Step 7: x + 1 = 2.464975 Step 8: x = 1.464975

Answers

log3=log 15 over x+1 I think

Answer:

The Answer is Step 3. I took the test :)

HELP FAST PLEASE

A six-feet-tall man looks off the roof of a five-story hotel. He sees a statue that is 75 ft. away from the hotel. If he is looking at the base of the statue, what angle does his sight line form with the side of the hotel? Assume that each complete story of the hotel is 12 ft. tall.

32.6 degrees
43.9 degrees
48.7 degrees
54.2 degrees

Answers

i think it is 48.7. if i get it wrong sorry

Answer: 48.7 degrees

Step-by-step explanation:

Let [tex]\theta[/tex] is the angle between the his sight line form with the side of the hotel,

Since, the building is of 5-story and a men having height 6 feet is in the fifth-story.

Thus, the total length from the eyes of the man and foot of the building = 6 + 12 × 5 = 6 + 60 = 66 feet

Also, the distance of the statue from the foot of the building = 75 feet.

Then by the below diagram,

[tex]tan\theta = \frac{75}{60+6}[/tex]

[tex]tan\theta = \frac{75}{66}[/tex]

[tex]\theta=48.6522227803\approx 48.7\text{ degree}[/tex]

Find the range of each function for the domain {-4, -2, 0, 1.5, 4}. f(x) = 5x^2 + 4

Answers

Substitute x with the members of the domain.
f(x) = 5x² + 4

Substitute with the domain of -4
f(x) = 5x² + 4
f(-4) = 5(-4)² + 4
f(-4) = 5(16) + 4
f(-4) = 80 + 4
f(-4) = 84

Substitute with the domain of -2
f(x) = 5x² + 4
f(-2) = 5(-2)² + 4
f(-2) = 5(4) + 4
f(-2) = 20 + 4
f(-2) = 24

Substitute with the domain of 0
f(x) = 5x² + 4
f(0) = 5(0)² + 4
f(0) = 5(0) + 4
f(0) = 0 + 4
f(0) = 4

Substitute with the domain of 1.5
f(x) = 5x² + 4
f(1.5) = 5(1.5)² + 4
f(1.5) = 5(2.25) + 4
f(1.5) = 11.25 + 4
f(1.5) = 15.25

Substitute with the domain of 4
f(x) = 5x² + 4
f(4) = 5(4)² + 4
f(4) = 5(16) + 4
f(4) = 80 + 4
f(4) = 84

The range of the function for those domain is {4, 24, 15.25, 84}
Final answer:

To find the range of the function f(x) = 5x^2 + 4 for the given domain {-4, -2, 0, 1.5, 4}, evaluate the function for each value in the domain and find the minimum and maximum outputs. The range of the function is {4, 84}.

Explanation:

To find the range of the function f(x) = 5x^2 + 4 for the given domain {-4, -2, 0, 1.5, 4}, we need to evaluate the function for each value in the domain and find the minimum and maximum outputs.

Substitute -4 into the function: f(-4) = 5(-4)^2 + 4 = 84Substitute -2 into the function: f(-2) = 5(-2)^2 + 4 = 24Substitute 0 into the function: f(0) = 5(0)^2 + 4 = 4Substitute 1.5 into the function: f(1.5) = 5(1.5)^2 + 4 = 16.75Substitute 4 into the function: f(4) = 5(4)^2 + 4 = 84

The range of the function is the set of all possible outputs. In this case, the minimum output is 4 and the maximum output is 84. Therefore, the range of the function is {4, 84}.

According to the Rational Root Theorem, which statement about f(x) = 12x3 – 5x2 + 6x + 9 is true? Any rational root of f(x) is a multiple of 12 divided by a multiple of 9. Any rational root of f(x) is a multiple of 9 divided by a multiple of 12. Any rational root of f(x) is a factor of 12 divided by a factor of 9. Any rational root of f(x) is a factor of 9 divided by a factor of 12.

Answers

Any rational root of f(x) is a factor of 9 divided by a factor of 12.

Answer:

Any rational root of f(x) is a factor of 9 divided by a factor of 12.

Step-by-step explanation:

Given:

f(x) = 12x³– 5x² + 6x + 9

Required; Rational root of f(x)

The rational root theorem states that: each rational solution

x = p⁄q, written in lowest terms so that p and q are relatively prime

Where

p = factors of the constant

q = factors of the lead coefficient.

Given that

f(x) = 12x³– 5x² + 6x + 9

The constant is 9

And the lead coefficient is 12

The factor of these two are

9; ±1 , ±3, ±9

12: ±1, ±2, ±3, ±4, ±6, ±12

Then the rational root of f(x) is

factor of 9 divided by a factor of 12.

Possible Rational Roots

= (±1 , ±3, ±9) / (±1, ±2, ±3, ±4, ±6, ±12)

The correct statement according to the rational root theorem is

The rational root of f(x) is

factor of 9 divided by a factor of 12

Find the value of y for which line a is parallel to line b


38

52

76

142

Answers

As is shown in the figure attached:

1. "A" and 76º are congruents, because they are Alternate Interior angles, so A=76º.
 
 2. "D" and "x" are congruents, because they are Alternate Interior angles, so x=38º.
 
 3. "A", "B" and "C" form a the triangle ABC. Then, we remember sum of the interior angles of a triangle is 180º, so we have:
 
 76º+38º+B=180º
 B=180º-76º-38º
 B=66º
 
 4. By definition, an exterior angle of a triangle is equal to the sum of the opposite interior angles to it. So, we can calculate the exterior angle "y" of the triangle ABC, as follows:
 
 The opposite angles are: 76º and 66ª. Then, we obtain:
 
 y=76º+66º
 y=142º

 Therefore, the answer is: The value of y is 142º.

Anybody have a correct answer?

Answers

Lets get started :)

The formula for the Lateral Area of Square-based Pyramid
L.A = [tex] \frac{1}{2} [/tex] (Perimeter of the base) x Apothem
      
Given:
Apothem = 10 in
Side length = 5 in 
Perimeter of Square = 4 x side = 4 x 5 = 20 in

L.A = [tex] \frac{1}{2} [/tex] (20)(10)
      = [tex] \frac{1}{2} [/tex] (200)
      = 100 in²

Answer:

100

Step-by-step explanation:

On a trip, you had to change your money from dollars to British pounds. You got 560 pounds for 800 dollars. How many pounds will you get for 300 dollars?


Answers

Use proportions to solve this.  Set up the ratios with dollars on the top and pounds on the bottom and then cross-multiply to solve for x.  Like this:  [tex] \frac{d}{p}: \frac{800}{560}= \frac{300}{x} [/tex].  Cross multiplying gives us 800x=168,000.  Divide by 800 to get that x = 210.  So $300 equals 210 pounds. 
Other Questions
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