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

The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.

Answers

Answer:

44 and 46

Step-by-step explanation:

Let the integers be:

n and n + 2

Then we have:

n + n + 2 = 3(n + 2) - 48

Solving for n:

2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44

So the numbers are 44 and 46

What is the ordered pair after this point is reflected across the y-axis? 4,2

Answers

Answer:

-4,2

Step-by-step explanation:

a reflection across the y axis means the y values stay the same and the x values change sign

help please will mark brainliest

Answers

Answer:

1.) 20z^5

2.) 8m^5 · 6p^7 · 3mp^0

Step-by-step explanation:

4z^3 · z^2 · 5z

first, multiply 4z · 1z = 4z and add the exponents 3 + 2 = 5

4z^5 · 5z

multiply 4z · 5z and keep the exponents

20z^5

2m^3p^4 · 4m^2p^3 · 3mp^0

find just the "m" variables: 2m^3 · 4m^2 and same as before multiply then add the exponents = 8m^5

now do the same for the "p" variables: 3p^4 · 2p^3 = 6p^7

and for the "mp" variable: 3mp^0

put it all together and this is the simplest form because we don;t know the values of the variables:

8m^5 · 6p^7 · 3mp^0

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

m = ab + 3c Solve for a

Answers

Answer:

[tex]\frac{M-3c}{b}=a[/tex]

Step-by-step explanation:

[tex]M=ab+3c\\M-3c=ab\\\frac{M-3c}{b}=a[/tex]

Answer:

[tex]\frac{m - 3c}{b} = a[/tex]

Step-by-step explanation:

m = ab + 3c

-3c        - 3c

m - 3c = ab

[tex]\frac{m - 3c}{b} = \frac{ab}{b}[/tex]

[tex]\frac{m - 3c}{b} = a[/tex]

The town of Simpsonville has two tow truck companies. Company A charges an initial fee of $30 plus $2 per mile. Company B charges an initial fee of $20 plus $4 per mile. Use the graph to determine when it's cheaper to use Company B instead of Company A. Question 11 options: A) Towing 5 miles

Answers

Answer:

What are the other options? Any option with a number of miles less than 5 is right

Step-by-step explanation:

Answer:underlined and bold is answer!!

A)

Towing 5 miles

B)

Towing more than 5 miles

C)

Towing more than 5 miles but less than 15 miles

D)

TOWING  FEWER THAN 5 MILES

Step-by-step explanation:

Simplify the expression
(-a)^-18

Answers

Answer: it is the first option in the photo so A

can someone please help me .. will mark brainliest !

Answers

Answer:

a

Step-by-step explanation:

i don't really know just Draco told me i should answer this

evaluate the expression for the give value of the variable.
3d — 4
d = 1.2

Answers

Use substitution
3(1.2) - 4
3.6 - 4 = -0.4

Help tell me which one is supposed to go with which. Answer as quick as possible

Answers

Answer:

(-7,5)

Step-by-step explanation:

Have a Great Dayy

Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.

Hi please answer urgently

Answers

Answer:

5+6=11

So,the probability to get 11 is 5+6

Step-by-step explanation:

Answer:

5 + 6 = 11

Step-by-step explanation:

a dice contains 6 numbers

1, 2, 3, 4, 5 and 6

Peter rolls 2 fair dice and adds the results from each.

So, 5 + 6 = 11

in fraction = 2/11

-TheUnknownScientist

7(1 - x) = -3(x - 2)

Answers

Answer:

the answer is x= 1/4 :D .....

Answer: bro its x=1 over 4

Step-by-step explanation:

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set? The box will go from 10 to 12. A line dividing the box will be at 12. The left whisker will go from 4 to 15. The right whisker will go from 12 to 20.

Answers

Given:

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.

To find:

The correct statement for the box plot.

Solution:

Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.

Median of the data set is 12, so a line dividing the box will be at 12.

Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.

Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.

Therefore, the correct option is B.

Answer:

its b

Step-by-step explanation:

took the exam review

need help on this too ​

Answers

Answer:

The reflexive property of equality states that any number is equal to itself. This property has no proof, as it is the fundamental building-block of all other proofs.

Step-by-step explanation:

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


If (p, q) is the solution to the system of equations, what is the value of q?

−16p − 2q = 100
p − 4q = 200

A) 0
B) −10
C) −25
D) −50

Answers

Answer:

1

Step-by-step explanation:

Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?

Answers

Answer:

It is wrong because she should simplify both sides of the equation,distribute, combine like terms,subtract and divide to get the final answer.

4x−2(3x−4)+4=−x+3(x+1)+1

Step 1: Simplify both sides of the equation.

4x−2(3x−4)+4=−x+3(x+1)+1

4x+(−2)(3x)+(−2)(−4)+4=−x+(3)(x)+(3)(1)+1(Distribute)

4x+−6x+8+4=−x+3x+3+1

(4x+−6x)+(8+4)=(−x+3x)+(3+1)(Combine Like Terms)

−2x+12=2x+4

−2x+12=2x+4

Step 2: Subtract 2x from both sides.

−2x+12−2x=2x+4−2x

−4x+12=4

Step 3: Subtract 12 from both sides.

−4x+12−12=4−12

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

Answer:

x=2

Answer:

it is in order to combine like terms on one side of the equation, the inverse operations must be used

Step-by-step explanation:

trust me I took it on edge

A moving company drove one of its trucks 100,042 miles one year. A second truck was
driven 98,117 miles, and a third truck was driven 120,890 miles. How many miles
were driven by all three trucks?








HELP ME PLEASE IVE BEEN STUCK FOR HOURS ON THIS!!!!!!

Answers

319049

as 100,042 + 98,117 + 120,890 = 319,049

What would the sum of the interior angles of a 10 sided regular polygon shape be?
Select one:
O a. 360
O b. 1,004
O C. 1,800
O d. 1,440

Answers

if im correct it should be 1800

you would use the equation 360(n/2)

or 360(10/2) or 1800

Si el ∡P y el ∡Q son ángulos alternos internos, y la medida de un ángulo suplementario a uno de ellos mide 135° ,¿cuánto miden el ∡P y el ∡Q respectivamente?

Answers

Answer:

so sorry

Step-by-step explanation:

wish I could help but I don't know how to do it

Can somebody help me with this please?

Answers

its an eqilateral triangle. they are always “positioned” at 180 degrees.

A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of 18 frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?

Answers

Answer:

$0.11 per frozen fish stick

Step-by-step explanation:

If a package of 18 fish sticks cost $1.95, to find the cost per frozen fish stick you need to divide $1.95 by 18

$1.95 / 18 frozen fish stick = $0.108 or $0.11 per frozen fish stick

Can someone help me with geometry??

Answers

Answer:

B

Step-by-step explanation:

If correct will mark brainliest!!!!!

Answers

Answer:

Step-by-step explanation:

1 - right triangle

2 - Acute triangle

3 - Acute triangle

4 - Obtuse triangle

5 - Acute triangle

Answer:

1. right

2. obtuse

3. acute

4. obtuse

5. acute

Step-by-step explanation:

Find the measure of each numbered angle.?

please show work and I'll give bonus points I rlly need the answers​

Answers

Answer:

8. 95°

9. 85°

10. 49°

11. 53°

Step-by-step explanation:

8) m + 28° + 57° = 180°

m = 180°–28°–57°

m = 95°

9) m∆4 + m∆5 = 180°

95° + m∆5=180°

m∆5 = 180°–95°

m∆5 = 85°

10) 180°–36°–95°=49°

11) 180°–42°–85°=53°

What is the scale factor of this dilation?
1/2
3/5
1 2/3
2
Helpppppp plz I’ll give brainliest if it’s right.

Answers

The answer is 3/5 because i did the math on my paper and yea

Martina took a math test and answered 17 out of 20 questions correctly. What percent of the questions did Martina answer correctly?

Answers

Answer:

85%

Step-by-step explanation:

someone please please helppp... I need to submit this ttoday..I will mark you the brainliest

Answers

Problem 3

I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.

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

Problem 4

To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.

(3x+7)^2 - 84x = (3x-7)^2

(3x+7)(3x+7) - 84x = (3x-7)^2

(9x^2+21x+21x+49) - 84x = (3x-7)^2

9x^2+42x+49-84x = (3x-7)^2

9x^2-42x+49 = (3x-7)^2

(3x-7)^2 = (3x-7)^2

The two formulas

(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2

may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49

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

Problem 5

x + 1/x = 11

a + b = 11 .... where a = x and b = 1/x

(a+b)^2 = 11^2

a^2 + 2ab + b^2 = 121

x^2 + 2*x*(1/x) + (1/x)^2 = 121

x^2 + 2 + 1/(x^2) = 121

x^2 + 1/(x^2) = 121-2

x^2 + 1/(x^2) = 119

An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.

67,132 divided by 7= ?
Round your answer to the nearest tenth.

Answers

Answer:

DONE!

Step-by-step explanation:

67132/7 = 9590.28571429

Rounded to the nearest tenth: 9590.3

Answer:

9590.3

Step-by-step explanation:

finally got to answer lol

Which of the following can be used to find the measure of angle C, angle D, and ankle E?

A-Pythagorean Theorem

B-Triangle Sum Theorem

C-Isosceles Triangle Theorem

D-AAA Postulate Theorem

Answers

The correct answer is B

Which of the following pairs of terms are like terms?
A"3x and 2b
B:7 and 7y
C:3p and 4p

​​

Answers

Answer:

C

Step-by-step explanation:

they have the same variable

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