What are the coordinates of the vertex of the parabola described by the equation below? y = -5(x + 2)^2 + 7
A. (2, -7) O B. (-7,-2) O C. (7,2) O D. (-2,7)​

Answers

Answer 1

After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5

How to determine the location of the vertex of the parabola by algebraic means

The vertex is the bound point that characterizes parabolas and which can be a maximum or a minimum but never both. As we know the standard equation of the parabola, we can determine the location of the vertex, whose coordinates are (x, y) = (h, k), by just interpretating the equation, whose form is:

y - k = a · (x - h)²     (1)

After inspecting the expression and comparing it with the standard equation of the parabola, the location of the vertex is (x, y) = (- 2, 7). (Correct choice: D) #SPJ5

To learn more on parabolas, we kindly invite to check this verified question: https://brainly.com/question/4074088 #SPJ5


Related Questions

Lacey opened a savings account and deposited $100.00. The
account earns 6% interest, compounded monthly. If she wants
to use the money to buy a new bicycle in 2 years, how much
will she be able to spend on the bike?
Round your answer to the nearest cent.

Answers

Answer:

$244.00

Step-by-step explanation:

- gave bank $100

- +6% of $100 per month

- 6% of $100 = $6 (earns $6 per month)

- twelve months in a year, so 12 x $6 = $72 per year

- $100 + $72 + $72 = $244

If Lacey wants to utilize her money to purchase a new bicycle in two years, she will spend $244 on the bike.

Need help in proving theorems of square please ASAP ​

Answers

Answer:

The length of [tex]\overline{JO}[/tex] is 48.

Step-by-step explanation:

A square is a quadrilateral whose four sides have the same length and four internal angles have the same measure. The sum of measures of internal angles in quadrilaterals equals 360°. Let [tex]m\,\angle BOJ = 4\cdot x -6[/tex] and [tex]BO = 2\cdot x - 8[/tex], the value of [tex]x[/tex] is:

[tex]4\cdot (4\cdot x - 6) = 360^{\circ}[/tex]

[tex]16\cdot x -24 = 360^{\circ}[/tex]

[tex]16\cdot x = 384^{\circ}[/tex]

[tex]x = 24[/tex]

And the length of [tex]JO[/tex] is:

[tex]JO = BO = 2\cdot x - 8[/tex]

[tex]JO = 40[/tex]

The length of [tex]\overline{JO}[/tex] is 48.

how do u turn 3 into a fraction?

Answers

Answer:

[tex]\frac{3}{1}[/tex]

Step-by-step explanation:

Put a 1 under it.

every whole number is equal to that number over 1, so three as a fraction would be 3/1 since three divided by one is still three.
so the answer is 3/1

The perimeter of a square is 28 cm. Find its area and the length of its diagonal.


help me ​

Answers

Step-by-step explanation:

area: 28/4=7

7x7=49

diagonal=square root 7²+7²

9.89949

9.90

hope it can help you

A ship sails 20 km due East, then 12 km due South.

Find the bearing of the ship from its initial position.

Give your answer correct to 2 decimal places.

Answers

Answer:

Step-by-step explanation:

20km east - 12km south= 8km east

Answer:

its 120.96

Step-by-step explanation:

i dont have any but i know that is the answer

if y = .5x + 2, what is the value of x when y=4

Answers

y=0.5x+2

y=4

4=0.5x+2

-2        -2

2=0.5x

/0.5 /0.5

4=x

---

hope it helps

Answer:

[tex]x[/tex] = 4

Step-by-step explanation:

If [tex]y[/tex] = 4 then it would look like:

[tex]y[/tex] = .5[tex]x[/tex] + 2

Since .5 is 0.5, Half of 4 equal 2, PLUS the other 2 making it 4!!

encontre as raízes quadradas dos números:
a)²√625​

Answers

25

porque al multiplicar 25×25 nos da 625

Answer:

25

Step-by-step explanation:

25x25=625

A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box and cereal bars together weighs 18.55 oz. How much does each cereal bar weigh?

Answers

Answer:

Each cereal bar weighs 16.8 oz

Step-by-step explanation:

Multiply 12 times 1.4 to get 16.8

Add 16.8 and 1.75 to get 18.55

Hope this helps! Pls mark brainliest

If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M’?

Answers

Answer:

-8,5

Step-by-step explanation:

8,5 because the "m" is 5 squares down and 8 squares to the right.

A bag of candy costs $3.75. If sales tax is 4% of the cost, HOW MUCH WOULD YOU BE CHARGED IN TAXES?

Answers

Answer:

0.15

Step-by-step explanation:

Brainliest?

Answer:

If a bag of candy costs $3.75 and the sales tax was 4% of the cost, then the amount of tax you would be charged is $.15

Step-by-step explanation:

4% = 0.04

0.04 * 3.75=.15

$.15

hope this helped :)

Un muchacho le dijo a otro. "adivina cuántos años tengo si las dos terceras partes de ellos menos 1 es igual a mi edad actual menos 6".

Answers

Answer:

The age of the boy is 15 years

Step-by-step explanation:

Let us assume a be the age of the boy

So, two-third of his age is 2 ÷ 3 × a

As the boy said that two-third minus 1 so it would be equivalent to

  2 ÷ 3 × to - 1

ANd, his current age is a and now if we deduct 6 so

a - 6

AFter this, two-third minus 1 is equivalent to a minus 6

So,  

 2 ÷ 3 × a - 1 = a - 6

- 1 + 6 = a -  2 ÷ 3 × a  

5 =  1 ÷ 3 × a  

a = 3 × 5

 = 15

Hence, The age of the boy is 15 years

What is the equation, in slope-intercept form, of the line that contains the points (3, -4) and (5, -6)? A. y = -x - 1 B. y = -x + 1 C. y = x - 1 D. y = x + 1

Answers

Answer:

Hi! The answer to your question is A. [tex]y=-x-1[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

a

Step-by-step explanation:


HELPPP!!
Find the value of x in the parallelogram!

Answers

Answer:

x = 17

Step-by-step explanation:

Area of a parallelogram:

A = bh

Given:

A = 153

b = 9

Work:

A = bh

h = A/b

h = 153/9

h = 17

PLEASE HELP ME!!!! In each diagram AB is tangent to C at B. Find the value of x.​

Answers

Answer is 9

Step by step explanation
As CB is radius CB=3, CA=3+7=10
X^2=(7+3)^2-3^2=100-9=81
X=9

A distribution is positively skewed if which of these statements is true about
the dot plot that represents it?
A. The left tail is longer than the right.
B. The left side is a mirror reflection of the right side.
C. The right tail is longer than the left.
D. The left tail is equal in length to the right tail.

Answers

Answer:

c the right tail is longer than the left

Step-by-step explanation:

What is the simplified form of the following expression? Assume x>0. 4 square root 3 over 2x

Answers

Answer:

the answer is B)

4√24x^3/2x

Solution:

The answer is B

Step-by-step explanation:

I just took the test.

Hang was trying to factor 10x^2 + 5x she found that the greatest common factor of these terms was 5x and made an area model what is the width of the area model

Answers

Width of Heng's area model is  2x + 1

Step-by-step explanation:

Given:

Greatest common factor is 5x

To Find:

The width = ?

Solution:

let the  be the area

And  5x be the length

Then area  = length  x  width

Now rewriting the formula for width, we get

Width =  

Substituting the values in the above formula

Width =

Width = 2x + 1

He got a job selling cell phone services. He will be compensated $20 each hour he
works. He also gets a job at a competing cell phone store. His deal is that he will earn
$10 each hour, BUT he will start off with a bonus of $50 at the start of each day.
1) create equations for each man's compensation

2) After how many hours will they earn the same amount?
3) in an 8 hour day, who will earn more? How much more

Answers

Answer:

I think you should go with 3

anyone know the answers to 3, 4, 5 and six

Answers

3) would be D ! , 4) would be letter J , & 5) would be letter C ! Hope it helps !!!

Which of the following best describes the vertical cross-section of the cylinder ?

A.
cone
B.
rectangle
C.
triangle
D.
circle

Answers

The answer would be d

The shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

What is a vertical cross section?

When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.

For a cylinder, usually it sits on its base and we take a right circular cylinder. When we slice it vertically, we obtain a rectangle, as shown in the figure attached below.

It can be proven that this shape is always going to be rectangular.

Thus, the shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

Learn more about vertical cross section here:

https://brainly.com/question/16775837

Find the slope of the line

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

Slope = -6

Step-by-step explanation:

on parallelogram ABCD below, if A (4,1), B (8, 5), C(6, -3) and D(2, -3). what are the coordinates of point E

Answers

The best answer to go with is b you’re welcome my guy

What is the slide e of the line shown below?

Answers

Answer:

13/6

Step-by-step explanation:

slope = (y2-y1)/(x2-x1) where the variables indicate the coordinates of the two points

slope = (-7-6)/(-5-1) = -13/-6 = 13/6

Lisa can mow the lawn in 3 hours. If Rhianna helps her with another mower, the lawn can be mowed in 2 hours. How long would it take Rhianna if she worked alone? PLEAsE HELPPPP

Answers

Answer:

5 hours or 300 mins

Step-by-step explanation:

A waiter determines his salary for a week using the formula S = 3.75h + t, where S is his salary, h is the number of hours he works, and t is his total tips. How much does the waiter make if he works 30 hours in a week and makes a total of $538.75 in tips?

Answers

Answer:

$651.25

Step-by-step explanation:

plug your variables into your equation so,

S= 3.75(30)+ 538.75

and solve

S=112.5+538.75

S=651.25

Answer:

$651.25

Step-by-step explanation:

S = 3.75h + t

Given:

h = 30

t = 538.75

Work:

S = 3.75h + t

S = 3.75(30) + 538.75

S = 112.5 + 538.75

S = 651.25

18 x 1/6 simplify if can thank u

Answers

Answer:

3

Step-by-step explanation:

[tex]18*\frac{1}{6} \\\\3[/tex]

Answer:

=3x

Step-by-step explanation:

18x^1 / 6

=3x

The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22,
median = 26, upper quartile = 29, and maximum = 37.
Which box plot represents the data?
15 16 17 18
19 20 21 22 23 24 25 26 27 28 29 30 31
31 32 33 34 35 36
15 16 17 18
19 20 21
22
20
24
25
26
27
20
20
20
31
32
33 34 35
15 16 17 18 19 20 21
18 19 20 21 22 23 24 25 26 27
25 26 27 28 29 30 31 32 33 34
32 33 34 35 36 37
O
20
15 16 17 18
21 22 23 24 25
26 27
20
29
35
33 34

Answers

Answer:

The answer is B

Step-by-step explanation:

I took the test

The box plot that represents the number of bus drivers with the given five-number summary is: option B (see image attached below).

How to Graph A Box Plot?

A box plot is graphed to indicate the five-number summary as:

Minimum is represented by the value at the extreme end of the left whiskerLower quartile is at the beginning of the edge of the rectangular boxMedian is at the vertical line dividing the boxUpper quartile is at the end of the edge of the rectangular boxMaximum is represented by the value at the extreme end of the right whisker.

Given the five-number summary of the number of bus riders as: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37, the box plot that represents the data is: Option B (see image attached below.

Learn more about box plot on:

https://brainly.com/question/14277132

#SPJ5

Solve the logarithmic equation with Properties of Logs

Answers

Answer:

Simplifying

logx + -4 = 0

Reorder the terms:

-4 + glox = 0

Solving

-4 + glox = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + glox = 0 + 4

Combine like terms: -4 + 4 = 0

0 + glox = 0 + 4

glox = 0 + 4

Combine like terms: 0 + 4 = 4

glox = 4

Divide each side by 'lox'.

g = 4l-1o-1x-1

Simplifying

g = 4l-1o-1x-1

Answer:

[tex]x=40000[/tex]

Step-by-step explanation:

[tex]log(x)-log(4)=4\\log(\frac{x}{4})=4\\\frac{x}{4} = 10^4 \\x=4*10^4=40000[/tex]

PLEASE HELP THIS IS MATHHHHH

Answers

what inequality??????

If f(x) = x is changed to g(x) = -f(x + 3) + 2, how is the graph transformed?

Answers

Answer:

f(x) is flipped, and each point is moved 3 units to the left and 2 units up

Step-by-step explanation:

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