A parabola opens upward. The parabola goes through the point (3,-1),
and the vertex is at (2,-2).

Find the value of A for the parabola. Show your work. Use Part 1 and 2 to write the equation of the parabola.

Answer:

2nd option

{(-8, -2), (-4, 1), (0, -2), (2, 3), (4, -4)}

Step-by-step explanation:

For a function to exist, every value of input must have exactly one value of output.

The rest of the relations(1, 3, and 4) have 2 outputs for 1 input so they dont make a function.

Answer:

(B)

Step-by-step explanation:

If you noticed, all the other input values have one input value that has two output values. This doesn't represent a function. Only (B) has one output for each input.

Hope that helps (●'◡'●)

Answer:

I can't see the picture

Step-by-step explanation:

SORRY :(

Answer:

(-2, -3/5) IS THE CORRECT ANSWER

Step-by-step explanation:

The vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).

To find the vertex of the quadratic function in the form y = ax² + bx + c, we can use the formula:

x = -b / (2a)

y = f(x) = ax² + bx + c

For the given function y = (1/5)x² + (4/5)x + 1/5,

a = 1/5

b = 4/5

c = 1/5

Now we can find the x-coordinate of the vertex:

x = -b / (2a)

 = -(4/5) / (2 x (1/5))

 = -4/5 / (2/5)

 = -4/5 x 5/2

 = -4/2

 = -2

To find the y-coordinate, substitute the value of x

y = (1/5)(-2)² + (4/5)(-2) + 1/5

 = (1/5)(4) + (-8/5) + 1/5

 = 4/5 - 8/5 + 1/5

 = -3/5

Therefore, the vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).

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Answer:

Answer would be

D: 7

Answer:

C

Step-by-step explanation:

Let m represent Mark's age and j represent Jeffrey's age.

Mark is five years older than Jeffrey. Hence:

[tex]m=j+5[/tex]

The sum of Mark's age and triple Jeffrey's age is 73. In other words:

[tex]m+3j=73[/tex]

We can substitute:

[tex](j+5)+3j=73[/tex]

Therefore, our answer is C.

Answer:

Perimeter on one face =4× side =8

Hence the side of the cube is 2 units.

So the volume of the cube is (side)^3=(2)^3=8 cubic units

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

Answer:

C. The minimum value of f is greater than the minimum value of g.

Step-by-step explanation:

I got a 100% on my test

Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

Answer:

57°,123°,57°,123°

Step-by-step explanation:

as vertical angles are equal

so one angle=114/2=57°

other angle=180-57=123°

Answer:

pic pls

Step-by-step explanation:

Answer:

C. [tex]y = 2\cdot x[/tex]

Step-by-step explanation:

The measure of the inscribed angle ([tex]x[/tex]), in angular units, is directly proportional to the measure of the intercepted arc ([tex]y[/tex]), in length units:

[tex]y \propto x[/tex]

[tex]y = k\cdot x[/tex] (1)

Where [tex]k[/tex] is the proportionality ratio, in length units per angular unit.

Hence, correct answer is [tex]y = 2\cdot x[/tex]. (Correct answer: C)

Answer:

option e

Step-by-step explanation:

It should be arranged in table form

Row ------> Classes

Column  -----> Courses

                     Sophomores           Juniors          Seniors

Biology                 110                        60                 20

Chemistry              50                        140               85

Physics                    17                         70                107

Answer:

[tex]{ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in[/tex]

Answer:

Step-by-step explanation:

(3,9)

[tex]\tt\displaystyle\ 3c\underline{(p-6)}+4\underline{(p-6)}=(p-6)(3c+4)[/tex]

Answer:

x = -4 ±3

x = -7,-1

Step-by-step explanation:

x^2 + 8x     = -7

1/2 B ^ 2 = 16

x^2 + 8x  + 16    = 16 -7

(x + 4) ^2 = 9

x + 4 = ±3

x = -4 ±3

x = -7,-1

Answer:

100

Step-by-step explanation:

[tex](100 \times 3) - (100 \times 2) = 100 [/tex]

the answer will be

Hooe it helps!

Answer:

Amount Dan has = $17

Amount Ann has = $27

Amount Pablo has = $34

Step-by-step explanation:

Total amount they have = $78

Let

Amount Dan has = x

Amount Ann has = x + 10

Amount Pablo has = 2x

Total = Dan + Ann + Pablo

78 = x + (x + 10) + 2x

78 = x + x + 10 + 2x

78 = 4x + 10

78 - 10 = 4x

68 = 4x

x = 68/4

x = 17

Amount Dan has = x = $17

Amount Ann has = x + 10

= 17 + 10

= $27

Amount Pablo has = 2x

= 2(17)

= $34

Answer:it’s C

Step-by-step explanation:

The system of inequalities can be used to determine, if The selling price of model A was less than $8,000, The selling price of model B was at most $10,000, are x < 8000 × 0.88, and y < 1000 × 0.85.

The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.

It is one of the most crucial things for a business to decide. It is significant since it determines whether it will survive. Sales of a product are directly impacted by its price.

Given:

The selling price of model A was less than $8,000,

The selling price of model B was at most $10,000,

The price of model A is decreasing at a rate of 12% each year,

The price of model B is decreasing at a rate of 15% each year,

Write the inequality as shown below,

Assume the selling price of A is x,

x < 8000

Assume the selling price of B is y,

y < 1000

The decreased selling price of A,

x < 8000 × (1 - 0.12) = x < 8000 × 0.88

The decreased selling price of B,

y < 1000 × (1 - 0.15) = y < 1000 × 0.85

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Answer:

6x+y=30

-9x+3y=-18

Solving by substitution means that you have to express one of the variables (from one the equations) through the other one and substitute in the second equation.

In this example it is easier to express y through x in the first equation: y=30-6x. Put the expression for y in the second equation and solve for x.

-9x+3(30-6x)=-18 (divide by -3)

3x-30+6x=6

9x=36

x=4,  

y=30-6x=30-24=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Marco is incorrect because a function is a relation for which each input has a different output. An example of a function is y=2x each input x has a different output y.

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

C=32°

because sum of three angles of triangles is 180°

Answer:

let the number be x

representing the equation...

it will be....

2 times (the number- 10)=42

2 times(x-10)= 42

2(x-10)=42

Answer: B and D because for the 1st quadrant both x and y need to be positive

Step-by-step explanation:

B. (2,2)

D. (4,8)

The format for 1st quadrant is: (+,+).

Answer:

6/4 or 1 1/2

Step-by-step explanation:

You have to use the Keep Change Flip technique.

Keep 3/4.

Change the division symbol to a multiplication one

Flipi 1/2 to 2/1

and when you multiply the answer is 6/4 = 1 1/2

Answer:

10.2%

Step-by-step explanation:

The given population of the village in 2017 = 7,500

The given population of the village in 2019 = 8,265

The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;

[tex]Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}[/tex]

The final value of the population in 2019 = 8,265

The initial value of the population in 2017 = 7.500

Therefore;

[tex]Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%[/tex]

The percentage increase in the population = 10.2%

Answer:

1..9.9

2....23.9

3...106.9

4....21.8

Step-by-step explanation:

1-9.9

2-23.9

3-106.9

4-21.8

5-95.01

6-715.8

Answer:

160°

Step-by-step explanation:

Let one angle be x

Let second angle be 8x

Sum of supplementary angles = 180°

x+ 8x = 180°

9x = 180

x = 180/9 = 20

First angle= x= 20°

Second angle = 8x = 8*20 = 160°

Answer:

67°

Step-by-step explanation: