[50 points]
Determine the coordinates of the vertex of the function, written in vertex form: f(x)= (x+3)²-16

A) (3, 16)

B) (-3, -16)

C) (-16, -3)

D) (6, -7)

Answers

Answer 1

Answer:

C. (-16, -3)

hope this helps you...

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Related Questions

Could I get some help? QUESTION: This table shows the profit for a company (in millions of dollars) in different years.

The quadratic regression equation that models these data is y=-0.34x^2+4.43x+3.46. Using the quadratic regression equation, what was the predicted profit in year 8?

A. $17.14 million
B. $16.8 million
C. $17 million
D. $16 million

Answers

Answer:

17 million

Step-by-step explanation:

-0.34([tex]8^{2}[/tex]) + 4.43(8) + 3.46

-21.76 + 35.44 + 3.46

13.68 + 3.46

17.14

Answer: C 17 million

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Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 10 m, the new total area of the garden will be 169 m2. Find the length of each side of the original garden

Answers

Answer:

6m

Step-by-step explanation:

To find the original length you must take away the add-ons. To do so we know that they added 7 and A= l*l (or l squared). They added the 7 to the length so multiply 7*7 (49) subtract your answer from 169 (120) and that's your new area. To find the original length divide by 4 (I believe) and get 30m2

please answer this question​

Answers

Answer:

½ i + ¾ j = (½ , ¾)

Step-by-step explanation:

The gradient of a scalar function is a vector. Which is calculated as written in the image.

How do I create a teacher account?

Answers

Answer:

At the top of the screen (Under the search) tap For Teachers.

Then just do what it wants.

(I'm taking a guess at this cuz I'm not a teacher.)

PLEASE HELP i WILL MaRK BRAINLY plsssssss


A "light" popcom has 120 Calories per serving. This is 25% fewer Calories than a serving of regular popcorn. How many
Calories does each serving of regular popcom have?
175
b. 250
480
d. 160
C.
a

Answers

Key ConceptsPercentagesCreating equations from a word problem

Solving the Question

We're given:

The popcorn is 120 calories per serving120 calories is 25% fewer calories than original popcornWe must find the calorie count per serving of the original popcorn

Determine Variables

Let x equal the calorie count per serving of the original popcorn.

Create an Equation

The light popcorn has a calorie count of 120, which is 25% fewer calories than regular popcorn. This means that 75% of the calorie count of regular popcorn is equal to that of the light popcorn:

[tex]x*0.75=120[/tex]

Solve the Equation

[tex]x*0.75=120[/tex]

⇒ Divide both sides by 0.75:

[tex]\dfrac{x*0.75}{0.75}=\dfrac{120}{0.75}\\\\x=160[/tex]

Answer

Therefore, each serving of regular popcorn has 160 calories.

Which answers describe the shape below? Check all that apply. A. Parallelogram B. Quadrilateral O C. Trapezoid D. Rhombus E. Rectangle F. Square ​

Answers

Answer:

Step-by-step explanation:

A, B, E

Pls answer question b tyyy also pls simplify if possible

Answers

Answer:

9/5 + 9/4 = 81/20

= 4 1/20

= 4.05

Step-by-step explanation:

81/20 is the smallest it gets as a fraction I believe

and A. should be 5/4 if i'm not mistaken

Answer:

a) 1 1/4 or b) 4 1/20

Step-by-step explanation:

a) This one is the easier of the two. 7/8+3/8= 10/8 ---» 1 2/8 and 2/8 is 1/4. So 1 1/4.

b) This one is a bit more tricky. You need to find a common denominator between the two, in this case we can use 20.

9/5 ---» 36/20 and 9/4 ----» 45/20.

Do some adding and you get 81/20 ---» 4 1/20.

Hope this helped!

To the nearest​ millimeter, a cell phone is 86 mm long and 44 mm wide. What is the ratio of the width to the​ length?

Answers

Answer:

1

Step-by-step explanation:

44 ÷ 86

Simplify 44/86

22/43

Find the closest integer to 22/43

Answer:

44 mm : 86 mm

Step-by-step explanation:

 A cell phone is 86 mm long and 44 mm wide 

Long = length

Wide = width

Consider the line 7x+5y=−2.
What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

Answers

Answer:  slope of a line perpendicular is [tex]\frac{5}{7}[/tex]; slope of a line parallel to this line is [tex]-\frac{7}{5}[/tex].

Step-by-step explanation:

Rewrite the line in y = mx + b form, where m is slope and b is y-intercept.

7x + 5y = -2

       5y = -7x -2

         y = [tex]-\frac{7}{5}[/tex]x - [tex]\frac{2}{5}[/tex]

The product of two slope of perpendicular line is -1.

Let x be the other line that perpendicular line with the line 7x + 5y = -2.

([tex]-\frac{7}{5}[/tex])x = -1

        x = [tex]\frac{5}{7}[/tex]

The slope of a line parallel to this line is the same, which is [tex]-\frac{7}{5}[/tex].

If an exponential model has a 9% decay rate,
what multiplier would be used in the function
model?
0.9 1.09
1.9 0.91

Answers

Answer:   0.91

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

Explanation:

If you lose 9% of a substance, then you keep the remaining 91% because 100% - 9% = 91%. Or you can think of it as 91% + 9% = 100%

Then we convert 91% to decimal form to get 0.91

-----------

Or you can do the steps like this:

9% = 0.09

1 - 0.09 = 0.91


Assessment Practice
16. Marique is making a large table in the shape of a trapezoid. She needs
to calculate the area of the table. The longest side of the table is twice
as long as the table's width. Find the area of the table by decomposing
the trapezoid into familiar shapes. Show your work

Answers

Given that the length of the table is twice the width which is 1.25 m. and

the difference in the parallel side is 1 m., the area of the table is 2.5 m².

How can the area of the table be calculated?

The possible table dimensions are;

Width of the table = 1.25 m

Width of the table = The height of the trapezoid

The difference in length between the parallel sides = 2 × 0.5 m = 1 m

Longest side of the table is a parallel side of the trapezoid

Given;

Length of the longest side of the table = 2 × The width

Which gives;

Length of the longest side of the table = 2 × 1.25 m = 2.5 m

Length of other parallel side = 2.5 m - 1 m = 1.5 m

[tex]Area \ of \ a \ trapezoid = \mathbf{\dfrac{Sum \ of \ length \ of \ parallel \ sides}{2} \times Height}[/tex]

Which gives;

[tex]\mathbf{Area \ of}\ the \ \mathbf{table} = \dfrac{2.5 + 1.5}{2} \times 1.25 = 2.5[/tex]

The area of the = 2.5 m²

Learn more about the properties of a trapezoid here:

https://brainly.com/question/4758162

— length of the longest side of the table = 2 × width which gives you 'length of the longest side of the table = 2 × 1.25 meters' which equals 2.5 meters. to find length of other parallel side use the equation 2.5 meters minus 1 meter, which is 1.5 meters. lastly to find the area, do  [tex]\frac{sum of length of parallel sides}{2}[/tex] multiplied by the height, which afer you fill it out turns into [tex]\frac{2.5+1.5}{2} *1.25[/tex] , which equals 2.5 meters. so the area is 2.5 meters squared.

P.S — PFP DUPEEE LOL

the percentenge of 2:1 ratio

Answers

Answer: 200%

Step-by-step explanation: Seeing as 1:1 is a 100% and we all understand that just add 100% more for every number on the left if the other side is = to 1

Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 20 pencils.

Write an equation for the story. (use "X")

what is the reason for multiplication in the story?

Answers

Answer:   The equation is 5x+15 = 20

Explanation:

Each of the five bags contain x pencils, where x is a placeholder for a positive whole number.

This means Tyler starts off with 5x pencils

He then adds 3 pencils per bag, so 3*5 = 15 extra pencils, to get the expression 5x+15. We're told the new grand total is 20 pencils.

Therefore, the equation for this story problem is 5x+15 = 20

The reason for the multiplication is because we have the same number of pencils per bag. So we're adding multiple groups together, or using multiplication to do a shortcut.

eg: instead of 5+5+5 = 15 we can do 5*3 = 15

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?
f(x) = x(x -a)2(x - b)4
f(x) = x(x - a)3(x - b)2
f(x) = 4(x-a)(x - b)2
f(x) = x2 (x-a)5 (x-b)

Answers

Answer:

f(x) = x2 (x-a)5 (x-b)

Step-by-step explanation:

because if you graph the plots correctly you should get this

The equation of the graph of the polynomials is f ( x ) = x² ( x - a )⁵ ( x - b )

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x² ( x - a )⁵ ( x - b )

From the graph of the polynomial , we can see that

The critical points of the function f(x) = x² ( x - a )⁵ ( x - b ) are x = 0, x = a, x = b, and x = (7a + 5b)/3

Hence , the function is f ( x ) = x² ( x - a )⁵ ( x - b )

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

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The Box is being packed without gaps or overlaps with unit cubes​

Answers

The volume of a box is the product of its dimensions

The volume of the box is 11 unit cube

How to determine the volume

From the question, we have the following highlights

The cubes are unit cubesThe boxes are packed without gaps

The volume of a unit cube is:

Volume = 1 unit cube

There are 11 cubes in the box. So, the volume of the box is:

Volume = 11 *1 unit cube

Volume = 11 unit cube

Hence, the volume of the box is 11 unit cube

Read more about volumes at:

https://brainly.com/question/1972490

100 POINTS!

Victoria will borrow $8,711 at 14.5% APR. She will pay it back over 5 years. What will her monthly payments be? (Use the table)

Show work for 100 POINTS!

Answers

Answer:

$204.95

Step-by-step explanation:

[tex]\mathsf{monthly \ payment=\dfrac{\frac{r}{12}\times P}{(1-(1+\frac{r}{12})^{-n}}}[/tex]

where:

P = total amount borrowedr = APR in decimal formn = total number of months of term of loan

Given:

P = 8711r = 14.5% = 0.145n = 5 × 12 = 60 months

Substituting given values into formula:

[tex]\implies \mathsf{monthly \ payment=\dfrac{\frac{0.145}{12}\times 8711}{(1-(1+\frac{0.145}{12})^{-60}}}[/tex]

[tex]\implies \mathsf{monthly \ payment=\$204.95}[/tex]

This graph represents the relationship between the x and y.

What is an equation showing the relationship between x and y?

Enter your answer in the box.

PLEASE ASAP!!! MARKING BRAINLIEST!! FIRST ANSWER!!

Answers

Answer:

Therefore, x is 1 and 2.

Step-by-step explanation:

As you plot both equations on the same graph, you will get something like this, shown in the graph.

Then, you have to find the x solutions where they intersect.

So, both equations intersect at x = 1 and 2.

Suppose a car is initially worth $20,000, and suppose that after one year, the car is now worth $18,673. Write an exponential function that models this scenario, and then estimate the value of the car after five years

Answers

Subtract and it will work

Solve the equation 3m – 10 = 5. Find the value of m

Answers

Answer:

So I don’t know if this is right cause yeha but I think that m=5

Step-by-step explanation:

we can substitute different numbers starting with one

Or this is the way I did we can do 10+5 which = 15

So that means 15/3=5

So m=5


also I don’t know if this is correct….:/

Answer:

m=5

Step-by-step explanation:

step 1:letters to the left side of the =, numbers to the right (If there are numbers attached to the letter, keep it on the left) if a number is being taken to the right, change the sign to the opposite of what it was

3m= 5+10

step 2: add the numbers on the right

3m=15

step 2: divide both sides by 3 to get m alone

m=5

What is the total weight of 23 baseballs that weigh 5.25 ounces each?

Answers

Answer:

120.75 ounces

Step-by-step explanation:

It's just a multiplication you will multiply 23 ×5.25 will get you your answer

what is the equation for Penny had some money. After she pays $5 for her new kitten, she will have $27. How much money did she start with? you will get 20 points

Answers

Answer:

X + 5 = 27 or 27 - 5 = X

the answer is $22

Step-by-step explanation:

Answer:

x-5=27 or 27=x-5 or x=27+5

Step-by-step explanation:

let x be the total amount of money Penny has.

after she deducts 5 dollars to pay for her bunny she is left with 27

    therefore

x-5=27 (which is the same as representing it in any other way shown above)

if they ask for X, then solve your equation

x=27+5

x=$32

if 2/3x - 1=4, then x=?

Answers

Answer:

The answer is x=15/2

Step-by-step explanation:

whats is the value of 5(7x+ 5), when x = 10​

Answers

The answer is 375
First you times 7 with 10

5(70+5)

Then you use distributive property, so now your problem should look like this

350+25

Combine like terms, to get 375 as your answer
You do 5(7times10+5) do one step at a time (pemdas) (), exponents,multiplication and division on which ever comes first then addition and subtraction whichever comes first so this is the answer step by step
5(7times10+5)
=5 times 70+5
=5 times 75
=375!
So 375 is your answer


y=-3(x + 5)^2 - 4
Convert the equation from vertex formi to standard form.

Answers

I believe in Vertex form it would be (-5,-4)

The quotient of number and 7 is 6

Answers

Answer:

42

Step-by-step explanation:

Let's say the number=X

x/7=6

7*6=42

and 42/7=6

Tammy runs 8 miles in 45 minutes. How many minutes does she take per mile? If necessary, round your answer to the nearest hundredth.

Answers

Answer:

5.63

Step-by-step explanation:

The points K(5,-5), L(9,-5), and M (7,3)

Answers

Answer:

i plotted the points, just connect them

A laundry basket contains 8 socks, of which 2 are blue.​

Answers

Answer:

They are probably a pair.

Step-by-step explanation:

If the two of those are blue, they probably go together. Maybe the other 6 are also pairs???

Variables y and x have a proportional relationship, where y = 18 when x = 2.
What is the value of x when y = 36?
Enter your answer in the box.
X=

Answers

Answer:

x = 324

Step-by-step explanation:

y=Kxmake k the subject of formula=> Kx = y=> k = y/xadd the value of y = 18 when x = 2.=> k = 18/2divide 18 by 2=> k = 9

What is the value of x when y = 36?

=> x = Kxsubstitute k equals to 9 and from the question y equals to 36 into this equation=> x = 9(36)multiply 36 by 9=> x = 324

1 1 A recipe calls for cup of ingredient A for every 15 cups of ingredient B. You use 3 cups of ingredient A How many cups of ingredient B do you need? You need cups of ingredient B. ​

Answers

Answer:

45

Step-by-step explanation

Its actually quite simple all you have to do is multiply 15 by 3 and then you will get 45.

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