1) The value of y varies directly with x. If x = 3, then y = 13.
Show your work for finding the value of x when y = 39?

Answer:

Step-by-step explanation:

Parabola's equation is

y

=

1

16

(

x

−

7

)

2

+

1

and vertex is

(

7

,

1

)

.

Explanation:

Parabola is locus of a point which moves so that its distance from a given point calld focus and a given line ccalled directrix is always constant.

Let the point be

(

x

,

y

)

. Here focus is

(

7

,

5

)

and distance from focus is

√

(

x

−

7

)

2

+

(

y

−

5

)

2

. Its distance from directrix

y

=

−

3

i.e.

y

+

3

=

0

is

|

y

+

3

|

.

Hence equaion of parabola is

(

x

−

7

)

2

+

(

y

−

5

)

2

)

=

|

y

+

3

|

2

or

x

2

−

14

x

+

49

+

y

2

−

10

y

+

25

=

y

2

+

6

y

+

9

or

x

2

−

14

x

+

65

=

16

y

i.e.

y

=

1

16

(

x

2

−

14

x

+

49

−

49

)

+

65

16

or

y

=

1

16

(

x

−

7

)

2

+

65

−

49

16

or

y

=

1

16

(

x

−

7

)

2

+

1

Hence parabola's equation is

y

=

1

16

(

x

−

7

)

2

+

1

and vertex is

(

7

,

1

)

.

graph{(1/16(x-7)^2+1-y)((x-7)^2+(y-1)^2-0.15)((x-7)^2+(y-5)^2-0.15)(y+3)=0 [-12.08, 27.92, -7.36, 12.64]}

Answer:

-10, 5,-1

Step-by-step explanation:

Set each parentheses to 0

x+10=0 then factor 10 over

x=-10

repeat

x-5=0 to x=5

x+1=0 to x=-1

Answer:

36

Step-by-step explanation:

Answer:

16.64

Step-by-step explanation:

First times 25.60 by 35

Which is 896 then divide by 100

You should get 8.96

And then subtract it from 25.60

You get 16.64

therefore 25.60, 35% off is 16.64

Answer:

13x

because you would comibne like terms, so you add the 8 and 5.

Answer:

x=0

Step-by-step explanation:

Simplifying

8x + 5x = 0

Combine like terms: 8x + 5x = 13x

13x = 0

Solving

13x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '13'.

x = 0

Simplifying

x = 0

Answer: two points, 1,7

Step-by-step explanation:

The two points that are (1,0) (7,0) is the answer because they are the roots (x).

Answer:

don't cheat

Step-by-step explanation:

no answer for you

Answer:

123.03

Step-by-step explanation:

96.53+17.5+9=

Answer:

s/(1-r)=R

Step-by-step explanation:

S=R-rR

S=R(1-r)

s/(1-r)=R

Step-by-step explanation:

= x + x -2+ 1 -2x

=2x-3- 2x

=3 ans

hope it help you.

Answer:

2+1=3-2x= -5+x+x =5x square

Answer:

c = 40 and d = 76

Step-by-step explanation:

this is going to take me a long time to explain but here we go

so you need to do 180 - 116 and get 64.

then create a equation that is like this 7y + 6 + 4y + 64 = 180

when you solve it you get y = 10

then plug in 10 in for y in 4y. and you get 40 for c

do the same for d and you will get 76

pls mark me brainleist because i didnt waster your time.

Answer:

1. Slope = -4/5

2. Slope = 2/3

3. Slope = 0

4. Slope = 3/-4

5. Slope = 7/-12

6. Slope = 1/2

7. Slope = -2/0 --> Undefined

8. Slope = 3/-2

9. Slope = 5/-4

10. Slope = 4/3

Step-by-step explanation:

Ok so I'm assuming that you want the slope for all the two points. Basically, the formula for slope is rise/run, or y2-y1/x2-x1. Solve using that. For example, for number 1, it would be:

10-2/1-11 = 8/-10 = -4/5

Answer:

-Freddy tiene 25 billetes de diez dólares.

-A Freddy le quedan 19 billetes de diez dólares.

Step-by-step explanation:

Para encontrar la cantidad de billetes de diez dólares que tiene Freddy, tienes que dividir la cantidad total que tiene entre diez:

250/10=25

Esto significa que Freddy tiene 25 billetes de diez dólares.

Para saber cuantos billetes le quedan a Freddy, tienes que restar los 6 billetes que le dio a su hermano del total de billetes que tenía:

25-6=19

De acuerdo a esto, a Freddy le quedan 19 billetes de diez dólares.

Carmen has the largest red to green apple ratio.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

from the given chart , we get,

the  ratio as,

Carmen= 20:12

            =1.6

Dylan = 12:10

          =1.2

Eli = 16:20

    =0.8

now, we have,

Carmen has the largest red to green apple ratio.

This is because his red to green apple ratio is equal to 1.6.

In order to determine that you take 20 and divide it by 12.

To learn more on ratio click:

brainly.com/question/13419413

#SPJ2

Answer:

fell that it would be C I'm pretty sure

Answer:

d

Step-by-step explanation:

Answer:

70.132,70

Step-by-step explanation:

68.090,00

+ 2.042,70

_________

70.132,70

Answer:

lol

Step-by-step explanation:

what the hell where I the question lol

Answer:

C is the anwser

Step-by-step explanation:

divide by flipping everything and rooting it.

Answer:

I disagree.............................................................................

Step-by-step explanation:

Answer:

y = [tex]\frac{5}{2}[/tex] x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{5}{2}[/tex] , thus

y = [tex]\frac{5}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = 5 + c ⇒ c = 0 - 5

y = [tex]\frac{5}{2}[/tex] x - 5 ← equation of line

The equation of the line is the way of represent the line by the given point in the coordinate plane and the its slope.. Thus the equation of the line with point (2,0) and slope 5/2 is,

[tex]y=\dfrac{5}{2} x-2[/tex]

Given information;

The point of the line through which the line passes are (2,0).

The slope of the line is 5/2.

The equation of the line is the way of represent the line by the given point in the coordinate plane and the its slope.

The standard form of the equation of the line for point and slope can be given as,

[tex](y-y_1)=m(x-x_1)[/tex]

Put the values,

[tex](y-0)=\dfrac{5}{2} (x-2)[/tex]

Solve it further;

[tex]y=\dfrac{5}{2} x-2[/tex]

Thus the equation of the line with point (2,0) and slope 5/2 is,

[tex]y=\dfrac{5}{2} x-2[/tex]

learn more about the equation of the line here;

https://brainly.com/question/2564656

Answer:

Step-by-step explanation:

f(n) = 128[tex](\frac{1}{4}) ^{n}[/tex]

Answer: Mr. Diaz will have 21 pieces.

Step-by-step explanation:

Given, Length of the complete piece bought by  Mr. Diaz= 7 feet

Length of each piece cut = [tex]\dfrac13[/tex] foot

By division operation,

Number of pieces = ( Length of complete piece ) ÷ (Length of each piece cut)

[tex]=7\div\dfrac13=7\times3=21\ \ [\because a\div \dfrac{b}{c}=a\times\dfrac{c}{b}][/tex]

Hence, Mr. Diaz will have 21 pieces.

Step-by-step explanation:

Let aron's variable be = a

Let davids variable be( 6 less tan 3 times aron) = 3×a-6

Thier sum is =214

So,

3×a-6 + a = 214

3a -6 +a = 214

(transpose)

3a + a = 214 + 6

4a = 220

a = 220/4

a= 55

Thus,aron's score is = 55

And davids score is (3×a-6) = 3×55-6 = 159

Checking,

Aron score + david score = 214

55 + 159 = 214

SO, ITS CORRECT

HOPE IT HELPS :)

Step-by-step explanation:

a) 126°

b) 126°

c) 180-126 = 54°

d) 180-54-42 = 84°

Answer:

g=(q+x)/(h)

Step-by-step explanation:

you would 1st add x to the q

g/h=q+x

then you would divide the h from both sides

g=(q+x)/(h)

Answer:

x =  4[tex]\frac{1}{2}[/tex] teaspoons of baking powder

Step-by-step explanation:

I will use ratio, so for every 10 muffins we need 1[tex]\frac{1}{4}[/tex] or [tex]\frac{5}{4}[/tex]  teaspoons of baking powder.  How much would we need for 3 dozens or 36 muffins?

Set up the ratio in fractions

[tex]\frac{10}{\frac{5}{4}}[/tex] = [tex]\frac{36}{x}[/tex]; where x is the teaspoons of baking powder

solve for x

x =(36*[tex]\frac{5}{4}[/tex]) / 10

x = (45)/10 = 4[tex]\frac{5}{10}[/tex] = 4[tex]\frac{1}{2}[/tex] teaspoons of baking powder

Answer:

y = 15

Step-by-step explanation:

-1/3 y -6 = -11

Add 6 to each side

-1/3 y -6+6 = -11+6

-1/3 y = -5

Multiply each side by -3

-1/3 y * -3 = -5*-3

y = 15

Check

-1/3 *15 -6 = -11

-5 -6 = -11

-11=-11

9514 1404 393

Answer:

  x = 44.5

Step-by-step explanation:

The angles defined by x will be supplementary when the lines m and n are parallel.

  (x +4) +(3x -2) = 180

  4x +2 = 180

  4x = 178

  x = 44.5 . . . . will make m and n parallel