Which graph is the linear function that has a slope of 1/3 and contains the point (- 2, - 4) ?

Answer:

[tex]y=-(x-2)^2-3[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The graph provided in the question has two clear points:

The vertex, located at (2,-3)

The y-intercept, located at (0,-7)

Substituting the coordinates of the vertex, the equation of the function is:

[tex]y=a(x-2)^2-3[/tex]

The value of a will be determined by using the other point:

[tex]-7=a(0-2)^2-3[/tex]

Operating:

[tex]-7=a(4)-3[/tex]

[tex]4a=-4\Rightarrow a=-4/4[/tex]

Solving:

a=-1

The equation of the graph is:

[tex]y=-(x-2)^2-3[/tex]

had told

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Answer:

54 degrees

Step-by-step explanation:

4y-7=2y+11

2y=18

y=9

4(9)-7=25

2(9)+11=29

25+29=54

subtract 4

and

divide by -6

Hope it helps

Answer:

y-5 = 2 (x + 8 )

simplified : y=2x+21

Step-by-step explanation:

Answer:

why didn't you ask the questions then?

Answer:

Step-by-step explanation:

2

Option B is correct.

We have the two equations -

[tex]y= 2x^{2}[/tex]

[tex]y=2x^{2} +7[/tex]

We have determine how are these functions related and how are their graphs related.

A parabola is represented by the equation y = [tex]$x^{2}[/tex].

According to the question, we have -

[tex]y= f(x) = 2x^{2}[/tex]

[tex]y=g(x)=2x^{2} +7[/tex]

Refer to the image attached for graphs.

Now -

g(x) - f(x) = [tex]2x^{2} +7-2x^{2}[/tex] = 7

Therefore -  Each output for y = g(x) is greater than the corresponding output of y = f(x).

From the graph it is clear that the graph of y = g(x) is the graph of

y = f(x) translated up 7 units.

Hence, Option B is correct.

To solve more questions on functions and graphs, visit the link below -

https://brainly.com/question/2364381

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Answer: XY= 20

Step-by-step explanation:

i took the test and got it correct

30 - 10 = 20

Answer:

3/2

Step-by-step explanation:

3^(-4+2-(-3))*2^(3-4)=3^1*2^-1=3/2

Answer:

hmmmmmmmm

Step-by-step explanation:

yea i really dont know

Answer:

1.2grams per jelly bean

Step-by-step explanation:

10 times 1.2 is 12 grams beacuse you just move the decimal place over by one

Answer:

Step-by-step explanation:

let the time taken to get back be x

so that the time needed to go is (x-2)

we know that speed= distance/time

therefore the speed for the return is 24 km/h.

distance (return)= 24*x

distance (return)=24x

therefore the speed to the station is 40 km/h.

distance (return)= 40*(x-2)

distance (return)=40x-80

We know that the distance is the same

24x=40x-80

24x-40x=-80

16x=80

divide both sides by 16

x=5

the time taken to get back is x=5hours

the time taken to is x-2=(5-2)= 3hours

the total trip takes 3+5= 8hours

Explanation:

4x+3y=37

y=x-4

4x+3(x-4)=37

4x+3x-12=37

add 12 to both sides

7x=49

x=7

Now you use plug in x

4(7)+3y=37

28+3y=37

subtract 28 to both sides

3y=9

y=3

answer: x=7 and y=3

Answer:

0.5

Step-by-step explanation

I'm sure.

Answer:

=(1,3)

Step-by-step explanation:

this is the ans mark me as the brainliest

Answer:

A hope this helps

Step-by-step explanation:

Answer:

A...

Step-by-step explanation:

hope this helps you

Answer:

480 bagels

Step-by-step explanation:

We can use a ratio to solve

200 bagels          x bagels

------------------ = --------------

10 hours          24 hours

200 * 24 = 10x

Divide each side by 10

200 * 24/10 = 10x/10

480 =x

Answer:

480

Step-by-step explanation:

Answer:

OK lets do it

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

Answer:

it is a Rational number

Answer:

Rational

Step-by-step explanation:

Any number that can be written in fraction form is a rational number.

9.94 can be converted to [tex]9\frac{47}{50}[/tex]

Answer:

x = 15

y = 21

Step-by-step explanation:

*triangle sum theorem*

(6x - 11)° + (81)° + (x + 5)° = 180°

(7x - 6)° + (81)° = 180°

(7x)° + (75)° = 180°

(7x)° = (105)°

x = 15

________________

*vertical angle theorem* *triangle sum theorem*

(6x - 11)° + (4y - 18)° + (y + 14)° = 180°

^

|

15

(79°) + (4y + y) + (14 - 18)°

_________________________

(79)° + (5y - 4)° = 180°

(5y)° + (75)° = 180°

(5y)° = 105°

y = 21

Answer:

15

Step-by-step explanation:

9^2+12^2=225

square root of 225 is 15

Answer:

[tex]\frac{16529}{500}[/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over  1000 . Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Answer:

Yes

Step-by-step explanation:

A number that can be made by dividing two integers (an integer is a number with no fractional part). The word comes from "ratio". Examples: • 1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2)

-4.8 can be written as a fraction

Hope this helps!

-Jerc

Answer:

Yes!

Step-by-step explanation:

Rational numbers are any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions.

-4.8 is a terminating decimal, and thus, is a rational number!

Hope this helped you! If you liked my answer, please rate it and a Thanks would be nice, too!

Have a wonderful day!

Answer: 1 sheet of metal is equivalent to 18 cans

Step-by-step explanation:

If you divide 36/2 you get 18 and if you divide 180/10 you also get 18. So the proportionality of cans made to the number of sheets of metal used would be 1:18

Answer:

18

Step-by-step explanation:

1 sheet is equivalent to 18 cans it is simple just divide

Answer:

b

Step-by-step explanation:

Answer:b

Step-by-step explanation: