-2x^2 + 4x + 16 in vertex form​

Answers

Answer 1

Answer:

y = - 2(x - 1)² + 18

Step-by-step explanation:

- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms

= - 2(x² - 2x) + 16

using the method of completing the square

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

= - 2(x² + 2(- 1)x + 1 - 1) + 16

= - 2(x - 1)² + 2 + 16

= - 2(x - 1)² + 18 ← in vertex form


Related Questions

The area of the parallelogram below is
square meters.
9 m
2 m

Answers

18
=L*W
So it would be 9*2= 18

37 Answer:
Solve: 30% of what number is 54? _____
38 Answer:
Solve: 50% of what number is 38? _____
39 Answer:
Solve: 125% of what number is 65? _____
40 Answer:
Solve: 37.5% of what number is 96? ____
41 Answer:
Solve: 3.5% of what number is 7? _____
42 Answer:
Find the percent of increase: From 16 to 24 _____
43 Answer:
Find the percent of increase: From 24 to 32 _____
44 Answer:
Find the percent of decrease: From 32 to 24 _____
45 Answer:
Find the percent of increase: From 56 to 66 _____
46 Answer:
Find the percent of decrease: From 80 to 48 _____
47 Answer:
Use the formula I = prt to solve:
Steve borrowed $450 for 3 years. The yearly interest rate was 13%. How
much interest did he owe at the end of 3 years? _____
48 Answer:
Use the formula I = prt to solve:
Anne borrowed $600 for 1.5 years. The yearly interest rate was 12%. How
much interest did she owe at the end of 1.5 years? _____
49 Answer:
Use the formula I = prt to solve:
Frank borrowed $2000 for 0.5 years. The yearly interest rate was 15%.
How much interest did he owe at the end of 0.5 years?
50 Answer:
Use the formula I = prt to solve:
Judy borrowed $800 for 2 years. She paid $152 in interest. What was the
interest rate per year? _____

Answers

37- 180
38-76
39-52
40-256
41-200

Dedicated to Skee Ball Ana is a dedicated Skee
Ball player who always rolls for the 50-point slot.
The probability distribution of Ana's score X on
a randomly selected roll of the ball is shown here.
Make a histogram of the probability distribution.
Describe its shape.
Score
10
20
30
40
50
Probability 0.32 0.27 0.19 0.15 0.07

Answers

The histogram of a probability distribution is right-skewed and each bar has the same width and the same height.

What is a histogram?

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We have:

The player receives one ticket from the game for every 10 points scored. So,

Number of tickets received T = (1/10)X

From the table attached, we can plot a graph or probability histogram using the number of tickets on the horizontal axis and the probability on the vertical axis.

Right-skewed is the probability distribution. Each bar has the same width and the same height, which symbolizes the likelihood. The highest likelihood is 0.32, which is represented by the right-hand highest bar. The rightmost bar represents the lowest value of 0.07.

Thus, the histogram of a probability distribution is right-skewed and each bar has the same width and the same height.

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A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 35 ft long and 22Ft wide. Find the area of the garden. Do not round any intermediate steps. Round your final answer to the nearest hundredth and be sure to include the correct unit.

Answers

Answer:

Step-by-step explanation:

Area of rectangle: 35*22=770

Area of semi circle: 1/2pi(11)^2=60.5 pi

Area of garden 770+60.5 pi or 959.97 ft squared if pi =3.14

Tyler spends 25 minutes studying mathematics, 35 minutes studying science and 40 minutes studying history. What percentage of his times is spent studying science?​

Answers

Answer:

35%

Step-by-step explanation:

35+25+40=100

Since the total is 100 we know that any number out of 100 will be that percentage.

Estimate the solution to the following system of equations by graphing.

3x + 5y = 14
6x - 4y = 9

A.(7/3,-7/2)
B.(-5/2,-7/2)
C.(5/2,4/3)
D.(4/3,5/2)

Answers

Answer:

Step-by-step explanation:

Draw the 2 lines of the equations on graph paper.

The coordinates of the point where they cross is the solution

The answer is (5/2, 4/3)

Answer:

C. (5/2, 4/3)

Step-by-step explanation:

The system of equations that are given are:

[tex]3x + 5y = 14[/tex][tex]6x - 4y = 9[/tex]

To solve, let's use the substitution method.

Note: The substitution method for solving two-order systems involves solving one equation using the terms of the other equation.

See Below:

So solving by substitution:

// Solve equation [2] for the variable  x

 [2]    6x = 4y + 9  [2]    x = 2y/3 + 3/2

// Plug this in for variable  x  in equation [1]

  [1]    3•(2y/3+3/2) + 5y = 14   [1]    7y = 19/2   [1]    14y = 19

// Solve equation [1] for the variable  y

  [1]    14y = 19   [1]    y = 19/14

// By now we know this much :

   x = 2y/3+3/2    y = 19/14

// Use the  y  value to solve for  x

   x = (2/3)(19/14)+3/2 = 101/42

Therefore, the solution is:

[tex]{x,y} =\frac{101}{42} ,\frac{19}{14}[/tex]

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

Terms and topics:

Linear equations with two unknownsSolving linear equations by substitution

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

Level:

Algebra l (Pre-algebra concepts)

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A color printer prints 31 pages in 9 minutes. How many pages does it print per minute?

Answers

According to my calculations, it would take approximately 3.4 (being in decimal form) pages PER minute or Just 3 minuets being rounded to the nearest tenth. If I am I correct please correct me. I used a calculator.

The equation of the axis of symmetry is the line ____

Answers

x = 3

Both sides of the parabola match up if you fold the graph in half on this line.

The equation to find axis of symmetry is:

x = -b/2a

So if you don’t have a graph to look at you can find this axis by using a parabolic equation in
y = ax^2 + bx + c form(this is like y = mx + b but for parabolas)

In axis of symmetry problems your answer will always be “x = _” if you just put the number you will get the answer wrong

What can you do to y = |x| to move the graph 2 units left?

Answers

assuming that by open down you mean go into the next quadrent by which you would want to make x a negative number pls forgive me if im wrong

A company is started by four friends. The company was Erica’s idea, so she wants to fill 70% of the orders. Jen, Heather, and Tonya each agree to fill 10% of the orders. After a successful first year, Erica wants to determine if the distribution of the number of orders filled is adhering to the agreed-upon percentages. To do so, she selects a random sample of 100 orders from the large number of orders that were filled and determines who filled the order. What are the appropriate hypotheses for this test?

Answers

The appropriate hypotheses for this test are :

Erica filled 70Jen filled 10Heather filled 10Tonya filled 10

Meaning of hypothesis

A hypothesis is a statement that proposes a result that will be tested to get a verified result.A hypothesis is not hundred percent true, that is why it is always put to test. Hypothesis is singular while hypotheses is plural

Making a hypothesis in this case is an attempt to predict an answer or result that will be verified by doing the experiment.

We can conclude by saying that a hypothesis is not hundred percent true.

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a gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. if you reach into the bag at random, what is the probability that you select a baseball

Answers

Answer:

Step-by-step explanation:

5+1+3+8+2=19

3/19 = 16%

why is the value 0.6 greater than the value of 0.39

Answers

Answer:

0.6 is 6/10 that is equal to 60/100.

0.39 is 39/100.

60/100 > 39/100

OR

0.6 is more than half and 0.39 is less than half.

Answer:

Yhe greater value of 0.39 is 1.50

Step-by-step explanation:

PLEASE HELP ASAP!!!!
Pat borrows $12,000 to buy a car, for 3 years at 6.5% interest, and the total interest is $2,340. What is the total cost of the car?
A)$12,000
B)$14,200
C)$13,065
D)$14,340

Answers

If Pat borrows $12,000 to buy a car. The total cost of the car is: D)$14,340.

Total cost

First step

Using this formula

Interest=Principal×Rate×Time

Let plug in the formula

Interest=$12,000×3×6.5%

Interest=$2,340

Second step

Total cost=Principal +Interest

Total cost=$12,000+$2,340

Total cost=$14,340

Therefore the correct option is D.

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Write the complex number when a=2 and b=3

Answers

Answer:

complex number Z = a+ib

so when a=2 and b=3 so complex number = 2+3i

What is the volume of the following rectangular prism? 1 3/4 units
1/2 units

Answers

Answer :-

7/8 or 0.88

Explanation :-

Just recall the formula for the volume of a prism: area of the base times its height. Now, is common to associate the base of a prism to the side which serves as a ‘‘base’’, i.e., the one in the bottom from our perspective.

This formula is right, but not quite precise. A better formulation for the formula would be: ‘‘the volume of a rectangular prism is equal to the area of a side times its relative height’’. Notice that we only need to rotate a prism to have a different side as a basis.

In the figure we have that the area of the green side is 1/2, and its relative height is 1 3/4. Thus, its volume is

Solution :-

V=(1/2)*(1 3/4) = 7/8 = 13.5

7.6.2.5
What is the measure of ZQPR? Explain how
you know.
R
1180
Q
P

Answers

What do you mean? I think you need to add a graph with the angles for people to be able to answer that question (you can take a screenshot and then use the paperclip button when you are re-writing the question). Hope this helped.

Solve for the value of x

Answers

Answer:

17,420

Step-by-step explanation:

It the same on the other side so you would have to multiply 134 and 130 together which u get 17,420 and when u plug it in and divide it u get 130 degrees

A second hand car is being advertised at 1000 dollars now and 1000 dollars on 1 years time. the dear offers it to you at 1800 dollars cash.which should you take and why?​

Answers

I will take 1000 dollars because it is advertised at 1000 dollars

10. A company's value is also known as their what?
FICO score
Debt ratio
Purchasing power
Net worth

Answers

If you know about business you’d know it could be business valuation but net worth is the value of all non-financial and financial assets owned by and individual, so if I had to guess I’d be net worth

can anyone help find the area pls !!

Answers

Answer:

6 m²

Step-by-step explanation:

it's a right triangle

AREA = 1/2 × l × w

so

1/2 * 4 * 3 =

2 * 3 =

6

Answer:

6 m^2

Step-by-step explanation:

This is a triangle and in triangles to find the area we use the following formula:

1/2*b*h (b: base, h: height)

The base of this triangle is 4m and the height is 3m

1/2*4*3 = 6

The area is presented with square units so the answer for this question is 6 m^2

Find the volume of a
cone with a base radius of 5 yd and a height of 7 yd.
Write the exact volume in terms of Tt, and be sure to include the correct unit in your answer.

Answers

Answer:

[tex]\textsf{Volume}=\sf \dfrac{175}{3} \pi \:yd^3[/tex]

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

radius (r) = 5 ydheight (h) = 7 yd

Substituting the given value into the formula:

[tex]\begin{aligned}\implies\textsf{Volume} &=\sf \dfrac{1}{3} \pi (5^2)(7)\\\\&=\sf \dfrac{1}{3} \pi (25)(7)\\ \\&=\sf \dfrac{1}{3} \pi (175)\\ \\&=\sf \dfrac{175}{3} \pi \:yd^3\\\\\end{aligned}[/tex]

Answer:

To find :-

The volume of cone

Given :-

radius (r) = 5 yd

height (h) = 7 yd

Solution :-

The volume of cone

[tex] = \frac{1}{3} \pi {r}^{2} h[/tex]

Substituting the value of 'r' and 'h' in the formula.

[tex] = \frac{1}{3} \times \frac{22}{7} \times {5}^{2} \times 7 \\ = \frac{1}{3} \times 22 \times 5 \times 5 \\ = \frac{550}{3} {yd}^{3} [/tex]

Result :-

[tex] \text {The volume of cone is} \frac{550}{3} {yd}^{3} [/tex].

[tex] \mathcal {BE \: \: BRAINLY} [/tex]

NO LINKS!! Please help me with this problem. Part 4a1​

Answers

Answer:

Step-by-step explanation:

Coordinates of the original down ward parabola are ( - 10, - 7 )

Coordinates of the image upward parabola are ( - 10, 7 )

g(x) = 8( x + 10 )² + 7

For a reflection of parabola across x axis the rule is

a=-ak=-k

Means a turns negative

So

y=-8(x+10)²-7

Here a is -8

Turn negative

-(-8)=8

k is -7

turn negative

-(-7)=7

New one

g(x)=8(x+10)²+7

What is the answer ?

Answers

Answer:

put the x by the number 4

Step-by-step explanation:

When 2 consecutive prime numbers are subtracted we get the difference 6 and when they are multiplayed we get the number 3128. find the numbers.​

Answers

Answer:

it is impossible as when we multiply two prime numbers other than 2 we get the number odd but 3128 is an even number

Step-by-step explanation:

If O=pie/4, numerically show that the following equations are identities by finding the exact values of each expression. show your work and leave your answers with rationalised denominators for questions 8 and 9

Answers

Answer:

numbers are equivalent if O) pie /4

1. Five times a number plus 8 equals 33. What is the number?​

Answers

Answer: 5

Step-by-step explanation: 5 x 5 is 25 + 8 is 33

Padma has room to line up 8 figurines in a display case how many different ways can she arrange the figurines in the display case? Enter your answer in the box

Answers

Answer:

it can be arranged in 40320 ways

Step-by-step explanation:

this is simply permutation,

so the ways of arrangement = 8!

=8×7×6×5×4×3×2×1

=40320

please mark brainliest:)

There are 40,320 different ways for Padma to arrange the 8 figurines in the display case.

What is the permutation?

The permutation is defined as considered an ordered combination.

To determine the number of different ways Padma can arrange the 8 figurines in the display case, we can use the concept of permutations.

The number of permutations of n objects taken r at a time is given by the formula:

P(n, r) = n! / (n - r)!

In this case, Padma has 8 figurines, and she wants to arrange all of them in the display case, so r = 8.

P(8, 8) = 8! / (8 - 8)!

Simplifying:

8! / 0! = 8!

Calculating 8! (8 factorial):

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

Therefore, there are 40,320 different ways for Padma to arrange the 8 figurines in the display case.

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What is the product of 2x + y and 5x – y + 3?

Answers

Step-by-step explanation:

Distribute:

=2x+(y)(5x)+(y)(−y)+(y)(3)

=2x+5xy+−y2+3y

Answer:

=5xy−y2+2x+3y

Simplify (sin? 0 + cos² O) (sin 0 + cos O)

Answers

[tex](\sin^2 \theta + \cos^2 \theta)(\sin \theta + \cos \theta)\\\\=1 \cdot(\sin \theta + \cos \theta)\\\\=\sin \theta + \cos \theta[/tex]

Answer:

D: cos^3(O)

Step-by-step explanation:

The price of shoes was reduced 20% if the original price of the shoes were $44, what is the sale price of the shoes?

Answers

Answer:

<3

Step-by-step explanation:

Here! I hope you have a great day/night

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