Convert the equation g(x) = −(x − 7)2 +5 into standard form.

Answers

Answer 1

Answer:

7

Step-by-step explanation:

You have to add 2 and 5, the rest is stuff to distract you


Related Questions

in the figure given alongside if X=3y find the sizes of angles represented by a and b​

Answers

Answer:

Step-by-step explanation:

x = 3y

x + y = 180°

3y + y = 180° ⇒ y = 45° = a

x = 3( 45° ) ⇒ x = 135° = b

The sizes of angles represented by a and b​ are 45 and 135 degrees.

How does an angle form?

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.

The point of their joint is called vertex of that angle.

Those two line segments forming it are called arms of that angle.

The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.

We are given that

x = 3y

Since we know that the linear pair is

x + y = 180°

Therefore, 3y + y = 180°

y = 45° = a

x = 3( 45° )

x = 135° = b

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What is an equation of the line that passes through the points (6, 2)( and (−6,−8)

Answers

an equation in slope intercept form is y=5/6x-3

Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month average for monthly tips? June July August Septemper October November $133. 45 $235. 31 $239. 45 $258. 87 $298. 45 $115. 67 a. Her monthly average would have decreased by $19. 57. B. Her monthly average would have increased by $19. 57. C. Her monthly average would have increased by $2. 7. D. Her monthly average would have decreased by $2. 7. Please select the best answer from the choices provided A B C D.

Answers

Her monthly average would have decreased by $19.57 and it can be determined by using taking the average value of every month.

Given that,

Katie works as a waitress and records her monthly tips in the table shown below.

June, July, August, September, October, November

$133.45, $235.31, $239.45, $258.87, $298.45, $115.67

If Katie decided not to work the month of November,

We have to determine,

How would her five-month average compare to her six-month average for monthly tips?

According to the question,

Katie works as a waitress and records her monthly tips in the table below.

June, July, August, September, October, November

$133.45, $235.31, $239.45, $258.87, $298.45, $115.67

To find out how not working in November would affect the average of Katie's tips.

The average of her working June until October only.

[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45}{5}\\\\Average =\dfrac{ 1165.53 }{ 5}\\\\Average = 233.10[/tex]

Then, The average is with the month of November is,

[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45 + 115.67}{6}\\\\Average =\dfrac{ 1281.2 }{ 6}\\\\Average = 213.53[/tex]

 

Therefore,

On comparing the average of her five-month average to her six-month average for monthly tips is,

[tex]233.10 - 213.53 = 19.57[/tex]

The average will decrease because 213.53 is less than 233.10.

Therefore, Her average will decrease by $19.57.

Hence, Her monthly average would have decreased by $19.57.

For more details about the Average value refer to the link given below.

https://brainly.com/question/8916264

Answer:

b

Step-by-step explanation:

By which reason can it be proven that triangles DAB and DAC are congruent?

AAS
SSS
SSA
AAA

Answers

Answer:

AAS

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

If the distance between A(0, 4) and B(3,a) is 5 units then find the value of a.​

Answers

Answer:

Step-by-step explanation:

a = 0

So that AOB makes a right triangle with sides 3-4-5

Answer:

a = 8

Step-by-step explanation:

Calculate AB using the distance formula and equate to 5

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (0, 4 ) and (x₂, y₂ ) = B (3, a )

d = [tex]\sqrt{(3-0)^2+(a-4)^2}[/tex]

  = [tex]\sqrt{3^2+(a-4)^2}[/tex]

  = [tex]\sqrt{9+(a-4)^2}[/tex] , then

[tex]\sqrt{9+(a-4)^2}[/tex] = 5 ( square both sides )

9 + (a - 4)² = 5² = 25 ( subtract 9 from both sides )

(a - 4)² = 16 ( take square root of both sides )

a - 4 = 4 ( add 4 to both sides )

a = 8

Help find initial value for graph PLSSSSSS the dotted points are (0,8) and (16,20)

Answers

Answer:8

Step-by-step explanation:

The initial value, or y-intercept, is the output value when the input of a linear function is zero, as you've already pointed out, the function crosses the y- axis at (0,8)

Which number sentence is true?
OA) 5.6 > |-8.91
OB) |-5.6] < |-8.91
OC) -5.6 > 1-8.91
OD 15.6] > 1-8.91

Answers

The first one (when simplify) is

5.6>8.91

Which is not true if you plot it on a number line

The second one (when simplify) is

5.6<-8.91

which is not true because it is the same thing as number 1

The third one (when simplify) is

-5.6>8.91

which is obviously not true since negatives are way smaller than positives

So that leaves us the last one

Thefore the answer is OD.

I hope this helped!!

27.if 2 lbs of rice is $3. How much will 15 lbs of rice be?​

Answers

Answer:

2 lbs rice= $3

15 lbs rice= x

x= 15×3/2

=45/2=22.5

For $22.5 will be 15 lbs of rice .

what is the equation of the line that passes through the point (0, -2) with a slope of 2

Answers

Answer:

Step-by-step explanation:

You can use a fill in the blank formula called "point-slope" formula because you were given a point and the slope. But there's an even easier way because they gave you a special point. The point (0, -2) is on the y-axis. So it actually IS the y-intercept. So just in this case, you can use the slope-intercept formula as a fill-in-the-blank formula bc you were actually given the slope (we always use m for slope) and the y-intercept.

This is y = mx + b... fill in the given slope for the m, fill in the y-intercept for the b, then you're done!

y = 2x -2

Costco is selling boxes of pomegranates for $18.99. if a box contains 6 pomegranates, what is the cost of one pomegranate?

Answers

Answer:

$113.94

18.99 multiplied by 6 is 113.94

1.(01.01)
Evaluate -6 - (-1). (1 point)
5
-5
6

Answers

Answer:

I don't understand the question. Write it again & briefly.

25% of the seniors class has blue eyes of the blue student 60% are females. What is the probability that seniors selected randomly is a blue eyed female.

A) 15%
B) 85%
C)60%
D)35

Answers

Answer: A) 15%

Explanation:

Let's say this school has 1000 seniors.

25% of this count is 0.25*1000 = 250 to indicate there are 250 seniors with blue eyes. Of this smaller count, 60% of them are girls with blue eyes. So there are 0.60*250 = 150 female seniors with blue eyes.

Divide that last number over the original value: 150/1000 = 0.15 = 15%

The probability that the senior selected randomly is a blue-eyed female is 15%.

It is given that 25% of the seniors class has blue eyes of the blue student 60% are females.

What is the probability?

Probability refers to the occurrence of random events. Basically, it is the possibility to predict how likely events are to happen.

Probability of event = Number of favorable outcomes / Total number of outcomes.

Let's consider this school has 1000 seniors.

25% of this count

0.25 × 1000 = 250

Which shows that there are 250 seniors with blue eyes.

Similarly, 60% of them are girls with blue eyes.

So, there are 0.60 × 250 = 150

there are 150 female seniors with blue eyes.

Here, the probability that seniors selected randomly is a blue-eyed female

150/1000 = 0.15

                = 15%

Therefore, the probability that the senior selected randomly is a blue-eyed female is 15%.

Learn more about the probability here;

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what is 2 2/3 - (-3 2/6)

Answers

Answer:

6

Step-by-step explanation:

PLZ HELP URGENT GET THE BRAINLIEST AND MORE POINTS
an arithmetic sequence has sixth term 15 and ninth term 16. Find its common difference. determine which term has value 22.

Answers

Answer:

The 27th term is 22

Step-by-step explanation:

Let the first term is a and common difference is d.

The nth term is:

aₙ = a + (n - 1)d

We have:

a₆ = 15a₉ = 16

The difference of these terms is:

(a + 8d) - (a + 5d) = 16 - 153d = 1d = 1/3

Then the first term is:

a + 5*1/3 = 15a = 15 - 5/3 = 13 1/3

The nth term equation is:

aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13

If the nth term is 22, find n:

1/3n + 13 = 221/3n = 22 - 131/3n = 9n = 9*3n = 27

(BRAINLIEST TO THE PERSON WHO HELPS ME WITH THESE FOUR QUESTIONS)
Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable.

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote

4. If Kevin wrote 21 posts, how many did Cheryl write?

Answers

Answer:

Cheryl's posts + 7 posts =Kevin Posts

K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin

Operation=subtraction or addition because it could be K-C=7 or C+7+K

Cheryl wrote K-7=C posts

Cheryl wrote 7 posts

(5z+5)+(7z+4) what is this confused ?

Answers

Answer:

U have to solve this equation

[tex](5z + 5) \: + \: (7z + 4)[/tex]

[tex]5z + 5 - 7z - 4[/tex]

[tex]5z - 7z + 5 - 4[/tex]

[tex]2z + 1[/tex]

hope this helps you !!

8 + 2 + (1/2) + (1/8) +...... Find the sum of the infinite series.

Answers

This is a geo series. First, let’s just play around with some series and see what we get. Then we will adjust accordingly. Look at paper for the answers.

HOLA necesito ayuda... como puedo combertir 50% en fraccion y decimal. Y como combertir 25% en fraccion y decimal

Answers

Answer:

Step-by-step explanation:

50/100 = 1/2 or 0.5

25/100 = 1/4 or 0.25

Joan purchased a refrigerator for $1,200. She made a down payment of $65 and paid
$121 a month for 11 months. Find the total installment price of the refrigerator.

Answers

Pretty sure you set up a proportion somehow, keep months and $ separate… for example, $ over months, then $ over x… not for sure…

The total installment price is $1331.

What is an installment?

Installment means adding the total principal of the loan and the total interest on the principal together and then dividing the sum by the number of installment payments.

For the given situation,

The purchase price of the refrigerator = $1200

Down payment = $65

Monthly installment = $121

Installment period = 11 months

Total installment price = [tex](121)(11)[/tex]

⇒ [tex]\$1331[/tex]

Hence we can conclude that the total installment price is $1331.

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Explain why the square root of a number is defined to be equal to that number to the 1/2 power

Answers

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

Find profit or loss percent if CP-Rs 900 and loss =Rs 360​

Answers

loss%=loss/CP×100%

=Rs.360/Rs.900×100%

=Rs. 360/9

loss% =40% ans

What proportion of US women have a height between 62 and 67 inches?

Answers

Answer:

short ppl

Step-by-step explanation:

if u 62 inches u short as hell

What is the range of possible sizes for side x?

Answers

Answer:

x = 3.96

Step-by-step explanation:

apply the pitagoras theorem

x =

[tex] \sqrt{ {2.8}^{2} + {2.8 }^{2} } [/tex]

7x - 4 = -18?
please give an answer.

Answers

Answer:

x=-2

Step-by-step explanation:

7x - 4 = -18

+ 4. +4

7x = -14

÷7. ÷7

x=-2

Answer:

x = -2

Step-by-step explanation:

7x - 4 = -18?

7x - 4 = -18

7x = -18 + 4

7x = -14

x = -14 : 7

x = -2

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

check

7 * (-2) - 4 = -18

-14 - 4 = -18

-18 = -18

the answer is good

HEPL!! due in 2 hours so please help or attempt! I came up with 5 different answers and don't know which one is the actual answer!!​

Answers

Answer:

Original Price = $23

Step-by-step explanation:

$5.75 is the price after a discount of 75%

Let the original price be x and x is 100% of the price

5.75 = 100%x - 75%x

5.75 = 25%x

The new price is 25% of the original because you are subtracting 75%

25% is also written as 0.25

5.75 = 0.25x

x = 5.75/0.25

x = 23

The original price is 23

-Chetan K

I need Unit 3 parallel and perpendicular lines Homework 5 slope of lines it’s due today!

Answers

14. Slope (m) of PQ = -4

Slope (m) of RS = 1/4

The lines are perpendicular.

15. mPQ = -3

mRS = 3

They are neither perpendicular nor parallel lines.

16. mPQ = 0

mRS = 0

The lines are parallel.

17. x = -6

18. x = -2

What are the Slopes of Parallel and Perpendicular Lines?

If two lines have the same slope (m), then both lines are parallel to one another. On the other hand, if the slopes of two lines are negative reciprocals to each other, then both lines are regarded as perpendicular lines because the product of their slopes is equal to -1.

Slope (m) = change in y / change in x

14. Slope (m) of PQ = (-3 - 17) / (1 -(-4))

Slope (m) of PQ = -20/5 = -4

Slope (m) of RS = (4 - 3) / (-5 -(-9))

Slope (m) of RS = 1/4

(1/4)(-4) = -1, therefore, the lines are perpendicular.

15. Slope (m) of PQ = (-1 - 14) / (2 -(-3))

Slope (m) of PQ = -15/5 = -3

Slope (m) of RS = (-10 - 8) / (-2 - 4)

Slope (m) of RS = -18/-6 = 3

They are neither perpendicular nor parallel lines.

16. Slope (m) of PQ = (-1 - (-1)) / (-3 - 2)

Slope (m) of PQ = -0/-5 = 0

Slope (m) of RS = (9 - 9) / (-7 -(-11))

Slope (m) of RS = 0/4 = 0

The lines are parallel.

17. If CD║EF, their slope will be equal. Therefore:

Slope of CD = slope of EF

(-4 - 16)/(2 - x) = (4 - 14)/(-2 -(-6))

-20/(2 - x) = -10/4

-20/(2 - x) = -5/2

Cross multiply

-20(2) = -5(2 - x)

-40 = -10 + 5x

-40 + 10 = 5x

-30 = 5x

-30/5 = x

-6 = x

x = -6

18. Slope of JK = slope of l

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

3/(-1 - x) = 3

3(-1 - x) = 3

-3 - 3x = 3

-3x = 3 + 3

-3x = 6

-3x/-3 = 6/-3

x = -2

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6x² = 7xy + 20y² where x ˃ 0 and y ˃ 0
Find the ratio x : y

Answers

Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1

((6 • (x2)) - 7xy) - (22•5y2)
STEP
2
:

Equation at the end of step
2
:

((2•3x2) - 7xy) - (22•5y2)
STEP
3
:
Trying to factor a multi variable polynomial

3.1 Factoring 6x2 - 7xy - 20y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (2x - 5y)•(3x + 4y)

Final result :
(2x - 5y) • (3x + 4y)

Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done

Answers

Answer:

1.11 feet

Step-by-step explanation:

i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11

Juliet needs to rewrite 3 (x 2) = 6 y in slope-intercept form so she can easily graph it. Which step would be correct to start the process? She could combine the x and 2 to get 3 (2 x) = 6 y. She could divide both sides by 3 to get x 2 = 2 y. She could distribute the 3 to get 3 x 2 = 6 y. She could subtract the 6y to get Negative 6 y = 3 (x 2).

Answers

The step that would be correct to start the process is she could distribute the 3 to get 3x+2=6y

Note that the standard equation of a line in slope-intercept form is expressed as y = mx + b

m is the slopeb is the y-intercept

Given the function 3(x+2)=6y, for Juliet to write in slope-intercept form, the best approach is to first divide both equations by 6 as shown:

[tex]3(x+2)=6y \\\frac{3(x+2)}{6} =\frac{6y}{6} \\\frac{x+2}{6}=y[/tex]

Swap sides

[tex]y=\frac{x+2}{6}\\y=\frac{1}{6}x +\frac{1}{3}[/tex]

She could as well distribute the 3 over x + 2 to have:

3(x + 2) = 6y

3x + 3(2) = 6y

3x + 6 = 6y

Hence based on the option, the step that would be correct to start the process is she could distribute the 3 to get 3x+2=6y

Learn more on distributive law here: https://brainly.com/question/25224410

Answer:

Its C

Nevermind Its Not its A or B

Step-by-step explanation:

:)

Can someone help me understand this pls? (Provide an explanation)

Question:
Is triangle AFD congruent to triangle BEC?

Answers

Answer: is not congruent

To be congruent, it has to be same size and shape. It can face in any directions. Both the shapes have to be equal in all side lengths and equal angles.

Looking at the triangle you can understand that it is not congruent as the triangles have a size difference of being big and small. But if you still desire detailed explanation then here:

There is four rules for a triangle to be congruent. If one of these rule matches then you can say the triangle is congruent.

1. The three sides are equal

2. Two angles are the same and a corresponding side is the same

3. Two sides are equal and the angle between the two sides is equal

4. Two angles are equal and the side between them is equal

There are no angles, so find if all the three sides are equal. Even if one side is not equal, you can say it is not congruent. So if you just measure any side length of the smaller and big triangle, the length is not equal. None of the side lengths in either of the triangle is equal.

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