Find an equation in standard form of the parabola passing through the points.

(2, −8), (3, −8), (6, 4)

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

• According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

Answer:

b

Step-by-step explanation:

Answer:

C. [tex]\frac{39}{4}[/tex]x +[tex]\frac{39}{16}[/tex]

Step-by-step explanation:

distribute

Answer:

(39/4)x + 39/16

Answer C

Step-by-step explanation:

(13/4) * 3x   +    (13/4) * (3/4)

(39/4)x + 39/16

Answer:

it's super easy

7¹⁵/7¹⁴

7¹⁵-¹⁴

7¹ or 7

Step-by-step explanation:

I know it helped you :)

Answer:

61.25

Step-by-step explanation:

speed = distance / time

speed = 122.5 km / 2 hour

= 61.25

Answer:

Triangle A'B'C'

A'B'= 7.81

B'C'= 6

A'C'=5

C) Perimeter= 18.81 Area 15

Triangle ABC

AB=5

BC=4

AC=3

c) Perimeter = 12 Area = 6

Step-by-step explanation:

Triangle ABC work

Perimeter 4+3+√4^2+3^2=12

Area  4*3/2=6

Triangle A'B'C' work

Area 6*5/2=15

Perimeter 6+5+√6^2+5^2=18.81025

Please give brainliest

Answer:

five point zero three five

Answer:

b-30

Step-by-step explanation:

1/2b-30×2=b-30

hope this helpd

Answer: 1051.875 inches^3

Step-by-step explanation:

To find the volume of the briefcase, we'll use the formula: L*W*H where;

L = Length

W = Width

H = Height

So we'll have (16.5×12.75×5) inches^3

Which will give 1051.875 inches^3

$ (30-8p)

Step-by-step explanation:

3 DRINKS- 3P

MEDIUM- 2p

large- 3p

so plus 8 p

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

Answer:

Let (-10,-3) be (x1, y1)

and (7, 2) be (x2, y2).

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Substitute in values:

[tex]\frac{2-(-3)}{7-(-10)} =\frac{5}{17}[/tex]

Answer:

5/17

Step-by-step explanation:

Slope = Change in /Change in X

Slope = 2 - (-3) / 7 - (-10)

Slope = 5/17

-Chetan K

Answer:

{-11,17}

Step-by-step explanation:

|X – 3|= 14

There are  two solutions to an absolute value, one positive and one negative

x-3 = 14    and x-3 = -14

Add 3 to all sides

x-3+3 =14+3         x-3+3 = -14+3

x = 17                     x = -11

x = {-11,17}

Answer:

Just multiply over here

1/2 *20

1/2 * 20/1

20/2

10

answer is 10

Answer:

10

Step-by-step explanation:

multiply (1/2) by 20

10

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

Answer:

i dont speak espanish puto

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

3/4 = 0.75.

=> 0.75 < 1

Hoped this helped.

Answer:

4500

Step-by-step explanation:

Answer:

$100.66

Step-by-step explanation:

First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438

She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.

Olivia makes $100.66

[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]

Answer:

2.4

Step-by-step explanation:

4/5 / 1/3

4/5 x 3/1

4/5x3/x1 = 12/5

22/5

12/5 = 2.4

Answer:

$0.45 per cookie

Step-by-step explanation:

1 dozen = 12, so you divide both sides by 12. 5.40/12 would equal $0.45 per cookie

Answer:$0.45

Step-by-step explanation:

If it costs $5.40 for 12 cookies then you will need to find how much it costs for 1 cookie. To do this you will need to divide 5.4 by 12 so 5.4/12=0.45

Answer:

D) y < 1/3x - 1

Step-by-step explanation:

the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.

135000002.613! At least I think!

Answer: -4

Step-by-step explanation: (9)+(-13)                                                                         9+−13                                                                                                                           9−13                                                                                                                           −4                                                                            

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

Answer:

B

Step-by-step explanation:

5% of 120

= [tex]\frac{5}{100}[/tex] × 120

= 0.05 × 120

= 6