what is the vertex and axis of symmetry for the function f(x)=2(x+5)^2 -4

Answers

Answer 1
The vertex is (-5, -4) and the axis of symmetry is x = -5

Related Questions

common factor of 24 plz

Answers

Hey there!

Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.

24 = 1 × 2 × 2 × 2 × 3

24 = 2³ × 3 × 1

1 × 24 = 24

2 × 12 = 24

3 × 8 = 24

4 × 6 = 24

Hope it helps ya!

What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?

Answers

Answer:

Radius:  √ 61

Step-by-step explanation:

Complete the square for  x^ 2 + 12 x = ( x + 6 ) ^2 − 36

Substitute   ( x + 6 ) 2 − 36  for  x 2 + 12 x  in the equation  x 2 + y 2 + 12 x − 10 y = 0

= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0

Move  − 36  to the right side of the equation by adding  36  to both sides

= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36

Then you know the rest: radius will be √ 61

The center coordinate of the circle is (6,5) with a radius = 7.34

What is the equation of the circle?

The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]

Substituting the values in the equation:

[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]

⇒  -2ax =  -12x

⇒  a = 6.

-2by = -10y

b= 5.

⇒ a² + b² - r² =  -7

⇒  6² + 5² + r² = -7

⇒ 36 + 25 + r² =  -7

⇒ r² = 54

r = 7.34

Center coordinate (6,5) with r = 7.34

Learn more about the equation of the circle here: brainly.com/question/1471134

#SPJ2

The elves have $120 to spend on boxes of candy canes and boxes of ornaments. Each box of candy canes costs $3.00
and each box of ornaments costs $12.00. Let x represent the boxes of candy canes and y represent the boxes of
ornaments. Write an equation that describes the number of boxes of candy canes and ornaments that the elves can
buy.

Answers

Answer:

[tex]3x + 12y = 120[/tex]

If this problem needs solved like the other one I answered with the reserved seats and general admission, it is done the exact same way as that one.

What does this sentence mean? Or write the formula

Find all sets of 2 consecutive positive integers with a sum that is at least 8 and less than or equal to 24.

Answers

Answer:

An odd integer is denoted by 2n+1 where n is an integer.

First odd integer = 2n+1

Next odd integer = 2n+3

8 ≦ (2n+1)+(2n+3) < 24

8 ≦ 2n+1+2n+3 < 24

8 ≦ 4n+4 < 24

Divide through by 4

2 ≦ n+1 < 6

Subtract 1 for all three sides:

1 ≦ n < 5

n ∈ {1,2,3,4}  

Answer:  {2n+1, 2n+3}  {1,3}, {3,5}, {5,7

Step-by-step explanation:

Please help quickly

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

Part A: Describe two types of transformations that can be used to transform f(x) to g(x).

Part B: Solve for k in each type of transformation.

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).

Answers

Answer:

Step-by-step explanation:

The graph of f(x) becomes the graph of g(x) if the former is translated UP 18 units.  k = 18.

The graph of f(x) becomes the graph of g(x) if the graph of f(x) is translated 6 units to the left.  k = 6

parallel perpendicular or neither

Answers

It should be perpendicular

Solve the literal equation for x.

k= nx - 3x

Answers

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

k=x(n-3)
k/(n-3)=x
there ya gooooo

Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment

Answers

Here are the answers

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

add on a number line :(+7). (-7)​

Answers

-8———————0——————————10
-7 7
That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.

Answer:

-8———————0——————————10

-7 7

That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.

Step-by-step explanation:

Which expression simplifies to 5√3?

Answers

Answer:

C.

[tex] \sqrt{75} [/tex]

Step-by-step explanation:

You can just enter it in the calculator to see which is equal to

[tex]5 \sqrt{3} [/tex]

1The lengths of pregnancies are normally distributed with a mean of 271 days and a standard
deviation of 20 days. If 64 women are randomly selected, find the probability that they have a mean
pregnancy between 271 days and 273 days.
A) 0.2881
B) 0.5517
C) 0.2119
D) 0.7881

Answers

[tex]probablity = \frac{271}{273} \\ = 0.99267399267[/tex]

solve for x

3x/6 + 1 = 7

Answers

Subtract one from each side and then multiply -6 to each side and then divide by 3 and the answer is x=-12

I NEED TO FINISH THESE BY NEXT WEEK

Answers

Answer:

Multiply both sides by 6:  4x - 42 = 5

Step-by-step explanation:

(2/3)x - 7 = (5/6)

Multiply both sides by 6:  

6*(2/3)x - 6*7 = 6*(5/6)

(12/3)x - 42 = 5

4x - 42 = 5

Carlos bought 17 boxes of cereal. This is 20% of the total boxes at the store. In order to find the total number of boxes at the store, what do you need to find?


A) the part

B) the whole

C) the percent

D) benchmark percent

Answers

Answer:

The whole

Step-by-step explanation:

If the part is 20% then you already have a part of a whole, now you need to find the entire thing

If Nicole is tardy to class again, she will get detention. If Nicole gets detention, her mother will take her phone. What’s the conclusion?

Answers

Answer:

She needs to get to class on time

Step-by-step explanation:

If shes tardy shes going to get detention which will lead to her phone getting took.

5

7

2

8

1) what is the area (square units)

Answers

area: 560

Explanation: multiply everything together

The area of the regular pentagon is 6. 9 cm2. A regular pentagon has an apothem with length 1. 38 centimeters and an area of 6. 9 centimeters squared. What is the perimeter? 2 cm 5 cm 10 cm 20 cm.

Answers

The perimeter of the regular pentagon is 10 centimeters.

Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:

(Perimeter x apothem) / 2 = Area 1.38X / 2 = 6.9 1.38X = 13.80 X = 13.80 / 1.38 X = 10

Therefore, the perimeter of the regular pentagon is 10 centimeters.

Learn more about maths in https://brainly.com/question/11993520

Given numbers 2 ,5,11, 4.5, 1/10, V3 then
a. Write two prime numbers from the above.
b- An integer root 121
c- A number 25 % of 18
d- An irrational number

Answers

Answer:

a. pick two between 2,5 or 11, they are all primes.

b. it's 11 since

[tex]11 {}^{2} = 121[/tex]

c. that's

[tex]18 \times \frac{25}{100} = 4.5[/tex]

(or think about it as half the half of 18, so half of 9)

d.

[tex] \sqrt{3} [/tex]

Rest can be written as a fraction

Guided Practice

Type your answer and then click or tap Done.

What is the vertex of the parabola with the equation y=15x^2+2x−8?

Answers

Answer:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Step-by-step explanation:

(Fill in the blank text field 1

-5

, Fill in the blank text field 2

-13

)

Done

The vertex of the parabola is (−5, −13).

Rewrite in vertex form and use this form to find the vertex  

(

h

,

k

)

.

(

1

/15

,

121

/15

)

Find the vertex form.

y

=

15

(

x

+

1

/15

)

2

121

/15

g(n)=n^2-4
h(n)=4n+5
find g°h

Answers

Answer:  g(4n+5) = 16n^2 + 40n + 30

Step-by-step explanation:

g(n)=n^2-4

h(n)=4n+5

find g°h

g°h is g(4n+5) = (4n+5)^2 + 5

g(4n+5) = (16n^2 + 40n + 25) + 5

g(4n+5) = 16n^2 + 40n + 30

How many solutions does this equation have. 3x + 99 = 3 (x + 33)

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

3x + 99 = 3 (x+33)

distribute 3 to x and 33

3 * x = 3x

3 * 33 = 99

3x + 99 = 3x + 99

If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions

Solve for z? Question in photo

Answers

Answer:

z = 3

Step-by-step explanation:

I hope this helps!

-2(y+2)+6y Need help ​

Answers

Answer:

4y-4 Hope this helps! :)

Step-by-step explanation:

Whoever answers first gets brainliest, 5 stars, and a thanks! Pls help asap!

Answers

Answer:

a. In the first step: Nick is supposed to subtract 1 1/2 instead of adding it

b. He should subtract 1 1/2 instead

c. 3 3/22

Step-by-step explanation:

Work for c.

4 7/11 - 1 1/2

4 14/22 - 1 11/22

3 3/22

-Chetan K

Answer:

3 3/22

Step-by-step explanation:

a) he subtracted 5 from a mixed fraction without converting it first

and for 1 1/2 - sign should be there

b) first convert mixed fraction and add the terms in the parentheses

c) 9 7/11 - (5 + 1 1/2)

= (9*11 + 7) / 11  - ( 5 + (1*2 + 1)/2 )

= 106/11  - (5 + 3/2)

= 106/11 - (5*2 + 3)/2

= 106/11 - 13/2

= lcm of 2 and 11 is 22

= (106*2 - 13*11) / 22

= (212 - 143) / 22

= 69/22

= 66 + 3 / 22

= 3 3/22

Shiva drank 2 3 liter of water Monday before going jogging. She drank 3 7 liter of water after her jog. How much water did Shiva drink altogether?

Answers

Answer:

2/3 = 16/243/8 = 9/2416/24 + 9/24 = 25/2425/24 = 1 and 1/24

Step-by-step explanation:

6(3x-1-2x)=(2x-5-8)
determina el conjunto de la ecuacion lineal

Answers

6(3x-1-2x)=(2x-5-8)

Expand expression 1 : 18x-6-12x

18x-6-12x=2x-5-8

Collect like terms

18x-12x-2x= -5-8+6

4x= -7

x= -4/7

Please help! I need to turn this in today.

Answers

Answer:

C this is the answer

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Area = Width X Length

9x+6 / 3 = 3x + 2

A line has a slope of 3 and passes through the point (3, 3). What is its equation in slope-intercept form?

Answers

Answer:

y=3x-1

Step-by-step explanation:

The y-intercept is at -1 if you go down 3 left 1, and then down 3 left 1 again and you are left at (0,-1)

The swim coach is planning to attend the district swim meet next week. She must decide who will swim the different events. Find the combined time of her star swimmers as well as the difference of their times for the 25-Meter Freestyle.

The combined Time is ------ seconds

The difference of Times is ------- second

Answers

Answer:

the combined time 55.316

diffrence of times 0.856

Step-by-step explanation:

its 6th grader math

Answer:

55,316 0.856

Step-by-step explanation:

What is the final amount if 700 is decreased by 6% followed by a 7% increase?
Give your answer rounded to 2 DP.

Answers

Answer:

700 -6% =658 and 658-7%=611.94

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