Mathematics High School


Determine the equation of the graph with the coordinates of (4, -1)

O y = (x-4)2 - 1
O y=(x + 4)2 + 1
O y = (x + 4)2 - 1
O y = (x - 4)2 + 1

Answers

Answer 1

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

[tex]y=\left(x-4\right)^2-1[/tex]

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.

For example, putting  (4, -1) in the equation

[tex]y=\left(x-4\right)^2-1[/tex]

[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]

[tex]-1=\left(0\right)^2-1[/tex]

[tex]-1=0-1[/tex]

[tex]-1=-1[/tex]

So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).

Therefore, the required equation of the graph with the coordinates of (4, -1) will be:

[tex]y=\left(x-4\right)^2-1[/tex]

Please check, the graph is also attached.

Determine The Equation Of The Graph With The Coordinates Of (4, -1)O Y = (x-4)2 - 1O Y=(x + 4)2 + 1O

Related Questions

can someone help me , with math thanks

Answers

Answer:

2+w greater than 5

Step-by-step explanation:

w=-3

Answer:

[tex]w = 3[/tex]

Step-by-step explanation:

[tex]2 + w > 5 \\ w = 5 - 2 \\ w = 3[/tex]

what is the equation for the line in slope intercept form plz help ASAP

Answers

Answer:

y = - 4x + 5

Step-by-step explanation:

y = mx + b

(0, b) y-intercept

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~

( - 2, 13)

(0, 5) <----- y-intercept

(3, - 7)

(4, - 11)

m = [tex]\frac{-11+7}{4-3}[/tex] = - 4

y = - 4x + 5

Winnie needs to spend $120 on two kinds of fancy cakes:
Chocolate Delight and Coffee Comfort. The Chocolate cake
sells at 12 dollars per slice and the Coffee cake sells at 10
dollars per slice.
If Winnie buys 5 slices of Chocolate cake, how many slices of
Coffee cake does she buy?
___slices

Answers

Answer:

Winnie needs to buy 6 slices of Coffee cake.

Step-by-step explanation:

12 * 5= $60 (chocolate cake)

120 - 60= 60

since we know the coffee cake costs $10(per slice) we do:

60/ $10= 6 slices of coffee cake.

What is the solution to the equation 5 (x minus 6) = 2 (x + 3)?
x =

Answers

Answer:

x = 12

Step-by-step explanation:

Solve for x:

[tex] \longrightarrow [/tex] 5 (x - 6) = 2(x + 3)

Expand out terms of the left hand side:

[tex] \longrightarrow [/tex] 5x - 30 = 2(x + 3)

Expand out terms of the right hand side:

[tex] \longrightarrow [/tex] 5x - 30 = 2x + 6

Subtract 2x from both sides:

[tex] \longrightarrow [/tex] (5x - 2x) - 30 = (2x - 2x) + 6

5x - 2x = 3x:

[tex] \longrightarrow [/tex] 3x - 30 = (2x - 2x) + 6

2x - 2x = 0:

[tex] \longrightarrow [/tex] 3x - 30 = 6

Add 30 to both sides:

[tex] \longrightarrow [/tex] 3x + (30 - 30) = 30 + 6

30 - 30 = 0:

[tex] \longrightarrow [/tex] 3x = 6 + 30

6 + 30 = 36:

[tex] \longrightarrow [/tex] 3x = 36

Divide both sides of 3x = 36 by 3:

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{3}{3}x = \dfrac{36}{3} [/tex]

[tex] \sf \dfrac{3}{3} = 1: [/tex]

[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{36}{3} [/tex]

[tex] \sf \dfrac{36}{3} = 12: [/tex]

[tex] \longrightarrow [/tex] x = 12

Answer: 12

Step-by-step explanation: On Edge!!!!!!!!!!!!!!!!!!!

If I saved up $10 every 2 weeks, how much would I have saved in a year? Please help, thank you!

Answers

I believe there’s 52 weeks in a year besides leap year so it would be 52 divided by 2 times 10 and you’d have your answer
240 might dkjddikekdjdjdjdjdjdjdjsjs

(picture)
complete it ​

Answers

His estimated answer would be 120 and for number 4 it would be a) 300 b) 700 and c) 1500 hope this helped. Mark as brainliest?

which equation represents the line that passes through the points (6, -3) and (-4,-9)

A. y + 4= 3/5(x+9)
B.y + 4= 5/3(x+9)
C.y - 3=3/5(x+9)
D.y + 3=3/5(x-6)

Answers

Answer:

b is the answer

Step-by-step explanation:

3(x + 7)
plz heeelp
who ever helps gets 5 points

Answers

Answer:

3x + 21

Step-by-step explanation:

3(x+7)

3 * x + 3 * 7

3x + 21

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

3x + 21

Step-by-step explanation:

3(x + 7)

3(x + 21)

3x + 21

I beg you please help me I will give you lots of credit please

Answers

Answer:

B

Step-by-step explanation:

The line going with the graph for 1 day meets in-between 1, and 2 dollars, so it is 1.50

The answer should be option B!

2/21 times 7/5 simplified

Answers

Answer:

2/15

Step-by-step explanation:

21 times 5 = 105

2 times 7 = 14

14/105 divided by 7       ( They both can be divided by 7 )

2/15

(x + 3)2 – (y + 2)
2​

Answers

Answer:

2x+2-2y

Im confused are those supposed to be ^2 powers? If so then the answer would be

x^2+6x+5-y^2-4y

Step-by-step explanation:

I REALLY HOPE THIS HELPS PLS CONSIDER GIVING BRAINLIEST I REALLY NEED IT AND WOULD APPRECIATE IT!

236462700.806 to the nearest cent

Answers

Answer:

236462700.81

Step-by-step explanation:

The nearest cent refers to the hundreds place, because 100 pennies (or cents) make 1 dollar. We look at the number to the right of the hundredths place and if it is less than 5 we round down, but if it is 5 or more we round up. Since 6 is more than five we round up, and are left with 236462700.81.

The sum of three numbers is 67. The third number is 2 times the first. The first number is 5 more than the second. What are the numbers?

Answers

Answer:

1. 18 2. 13 3. 36

Step-by-step explanation:

You and your friends order Dominos pizza. Each pizza costs $5.25 and each drink costs $1.75. Write an equation to represent what the total cost would be.

Answers

Answer:

[tex]5.25x + 1.75y = b[/tex]

Step-by-step explanation:

⇒Lets solve!

⇒ First we must define our variables!

   x = number of pizzas

   y = number of drinks

  b = total costs

⇒ We already know the costs so lets construct the equation.

[tex]5.25x + 1.75y = b[/tex]

Woohoo! Brainliest Appreciated! Hope I helped!

$5.25p+$1.75d=c, where p=pizza, d=drink, and c=total cost.

Anita guessed that there were 180 pieces of candy in a jar, they were actually 220 pieces of candy in the jar what was Anita's approximate percent error

Answers

Answer:

18%

Step-by-step explanation:

Solve by making 180/220 into a percentage:

First, simplify the fraction by both parts by 20. This will result in the fraction 9/11.

To make it a percentage, write it as a ratio:

9/11 = x/100

Multiply both sides by 100 and 11:

11x = 900

Divide both sides by 11:

x = 81.818181...

Subtract from 100 to find the error:

18.181818...

So about 18%

Hope that helps! :D

Answer: 18%

Step-by-step explanation: Trust me.

There are 312 calories in six ounces of a certain ice cream. How many calories are there in three pounds?

Answers

1 lb = 16 oz
312/6 = 52 cal/oz
16(3) = 48 oz
52(48) = 2496 calories

Answer:

2496 calorise

Step-by-step explanation:

3 pounds = 3 x 16 = 48 ounces

312 cal = 6 ounces, so the unit rate is ( 312 ÷ 6 = 52) 52 cal per ounce

52 x 48 ounces = 2,496

Glad I could help

Which is the graph of the solution set of −2x + 5y > 15? On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (5, 1). Everything below and to the left of the line is shaded. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 5) and (10, 9). Everything above and to the left of the line is shaded.

Answers

Answer:

The solution set of the system of inequalities is the region above the dashed line (y=-2x-2) and below the solid line (y=x+4).

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Six less than two times a number

Answers

Answer:

6<2x

Step-by-step explanation:

six less than 2  is 6<2

times a number would be 2 and any letter so 2x

Can someone help plz? Jack and Jessica earned the same amount last week. Jack earned $18 per hour and had $41 taken from his check for taxes LaTeX: (18x-41)( 18 x − 41 ). Jessica earned $15 per hour and had $17 deducted from her pay. How many hours did each work in order to get paid the same amount?


Write the equation


Solve for the number of hours

Answers

Answer:

the answer is 8

Step-by-step explanation: so first what you want to do is you want to set up the equation 18x-41. then you want to do 15x because of the 15 per hour. then you minus 17. so your equation is 18x-41=15x-17 then the answer to that is 8 hours

In this hanger, the weight of the triangle is x and the weight of the square is y.

Write an equation using x and y to represent the hanger.

Answers

9514 1404 393

Answer:

x +3y = 4x +y

Step-by-step explanation:

Apparently, the "hanger" is in balance between its left side, which weighs x+3y, and it right side, which weighs 4x+y. We can represent this balance by ...

x +3y = 4x +y

Please help, thank you

Answers

Answer:

The answer is B

Step-by-step explanation:

8^1/3=2

$10.50 for 3 pounds round to the nearest hundredth can u solve the other pens too .

Answers

Answer: 3: $3.50 for one pound

4: The value of X is 10

5: P has the value of 2

Step-by-step explanation:

Guys!!!!!!! plz help me answer this! 40 points!!!!

Answers

Answer:

x = 6.

Step-by-step explanation:

There are actually two possible solutions, namely 6 and -1. However, due to the impossibility of the answer being -1 (a side cannot have negative length), the answer is 6.

Hope this helped!

figure Ais reflected across the line to create figure A’

Answers

What about it? What is your question that ur asking

2.What is the answer to this problem

Answers

Answer: It is not a Function

Step-by-step explanation: One input has two outputs.

it is not a function. yo.

Find the product of the binomials.
(x - 2) (3x + 1) (4x – 3)=

Answers

Answer:

Step-by-step explanation:

(x - 2) (3x + 1) (4x – 3)=

12x^3-29x^2+7x+6

 Foil the binomials.

x*3x x*4x etc

help plz plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

y intercept is -2

slope is 2/3

equation is y = 2/3x-2

Answer:

slope: 4/6

Y intercept: -2

Equation: y=4/6x-2

3 to the power of 2 + (15 ÷ 5 × 6) − 49

Answers

Answer:

i think its -31

Step-by-step explanation:

thats what i got

hope this helps :)

Answer:

-22

Step-by-step explanation:

PEMDAS!

Solve (15 ÷ 5 × 6) first. This is equal to 18.

[tex]3^2[/tex] + 18 - 49

[tex]3^2[/tex] is equal to 9.

9 + 18 - 49 = -22

How do you know whether an ecuation is an identity? How many solutions does an identity have? Explain

Choose the correct answer below

O, A. An equation is an identity w it can be rewitten as an equation of the form"variable = ruumiker, such as x=5 or y=3. Such an equation has an infinite

number of solutions because a variable can be any number

OB. An equation is an idersity it can be rewritten as an equation of the form "variable = number," such as x=5 or y=3. Such an equation has only one solution,

and the solution is called the identity of the variable

OC. An equation is an identity #it can be rewritten as 0-0. Such an equation has only one solution, 0, and that is the identity of the variable

OD. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement

regardless of the value of the variable

Answers

Answer: D. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.

Step-by-step explanation:

For an identity equation ; The value on the right and left hand side of the equation are equal :

Left hand side = Right hand side

The solution to an identity solution is infinite because the equation holds true for every value substituted for the variable.

Hence, for every value substituted in for the variable in the equation, the equation is a true statement.

Solve for x
4/7^5x=64/343^2x-1

Answers

Answer:

4/7^5x=64/343^2x-1
(4/7)^5x=(4/7)^6x-3
5x=6x-3
5x-6x=-3
-x=-3
x=3

Hope this helps.
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