I will give brainliest if correct !!

Given:

The graphs of two parabolas.

To find:

The equation of the quadratic function with given graphs.

Solution:

(a)

The factor form of a parabola is

[tex]y=a(x-b)(x-c)[/tex]

Where, a is a constant, b and c are x-intercepts.

From the graph (a) it is clear that the graph intersect the x-axis at -1 and 3. So, b=-1 and c=3.

[tex]y=a(x-(-1))(x-3)[/tex]

[tex]y=a(x+1)(x-3)[/tex]            ...(i)

Put x=0 and y=3 because the y-intercept is (0,3).

[tex]3=a(0+1)(0-3)[/tex]

[tex]3=-3a[/tex]

[tex]\dfrac{3}{-3}=a[/tex]

[tex]-1=a[/tex]

Putting a=-1 in (i), we get

[tex]y=-1(x+1)(x-3)[/tex]

[tex]y=-(x+1)(x-3)[/tex]

Therefore, the equation of the parabola is [tex]y=-(x+1)(x-3)[/tex].

(b)

The vertex form of a parabola is

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

Where, a is a constant and (h,k) is vertex.

From the the graph (b), it is clear that the vertex of the of the parabola is at point (2,0) and y-axis is (0,8). So, h=2, k=0.

[tex]y=a(x-2)^2+0[/tex]

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

Put x=0 and y=8 because the y-intercept is (0,8).

[tex]8=a(0-2)^2[/tex]

[tex]8=4a[/tex]

[tex]\dfrac{8}{4}=a[/tex]

[tex]2=a[/tex]

Putting a=2 in (ii), we get

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

Therefore, the equation of the parabola is [tex]y=2(x-2)^2[/tex].

Answer:

X= 2

Why

-20=-4x-6x

-20=-10x

-20/x=-10x/x

2=x

Answer:

i love algebra anyways

The ans is in the picture and the stops how i  got it

(hope that helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

as decimal = 2

as fraction = 1/2

Answer:

Number 7 is 3/4 and 8 is 4/-3

Step-by-step explanation:You start at the first point and count up to the same line, then count to the left or right (whichever one it is) and thats the slope. slope is always rise over run

Answer:

7 or -3

Step-by-step explanation:

its -3 only if the number you typed was ( -10 ) because i can't really tell if that dash is supposed to be there or not.

steps for 7 :

7 + (10)

7 + 1 ‧ 0

7 + 0

7

steps for -3 :

7 + ( -10 )

7 - 10

-3

Answer:

25 degrees and 45 degrees

Step-by-step explanation:

A triangle's angles HAVE TO add up to 180 degrees, no more no less. 110 + 45 + 25 = 180

Answer:

1. $165

Step-by-step explanation:

Zahra will expect to earn 14 *t +25 in a day on which she waits on "t" tables.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Zahra is a waitress at a restaurant. Each day she works, Zahra will make a guaranteed wage of $25,

Let "t" be the tables Zahra is waitressing.

Since, she will get about $14 in tips for each table she waits on.

Total additional tip = t * 14

guaranteed wage = 25$

So, Total Zahra will earn for waitressing on "t" tables = 14 *t +25

For t = 10 tables

Zahra will earn for waitressing on 10 tables = 14 * 10 +25

Zahra will earn for waitressing on 10 tables = 165

Therefore, Zahra will expect to earn $165 in a day on which she waits on 10 tables.

Learn more about Linear Function here:

brainly.com/question/20286983

#SPJ2

Answer:

440h is the expression. When 3 1/4 is evaluated you get 1,430 calories burned.

Step-by-step explanation:

440 represents the number of calories she burns per hour. To represent the hour, we place a variable which is h. After we write the expression, we substitute 3 1/4 for h. When I did this, I turned 3 1/4 into an improper fraction, which was 13/4, and then divided 13 by 4 to get 3.25

Multiple 3.25 by 440 to get an answer of 1,430 calories burned.

Hope this helps :)

Answer:

0.30384

Step-by-step explanation:

uwu

Answer:

0.31228

Step-by-step explanation:

Yes i'm the brainiest

Tell me if i'm wrong

Answer:

a) 26; b) 5a+10;

Step-by-step explanation:

f(8)=3(8)+2

    =24+2

    =26

g(a+2)=5(a+2)

         =5a+10

Answer:

what ever the next person says

Step-by-step explanation:

Answer:

option d is correct answer

Step-by-step explanation:

-18x+12

Answer:

1/10

Step-by-step explanation:

SInce there are a total of 10 cards and only one card with the number 2, then out of the ten cards you only have a 1/10 chance of grabbing the number 2 card! Hope this helps :)

Answer:

Step-by-step explanation:

h^2=x^2+y^2 which just means the the hypotenuse of a right triangle squared is equal to the sum of its squared sides.

[tex]h^2=10^2+15^2\\ \\ h^2=100+225\\ \\ h^2=325\\ \\ h=\sqrt{325}\\ \\h=5\sqrt{13}\\ \\ h\approx 18.03[/tex]

h=

Answer:

i think  

3 ,  

12

12 ,  

48

48 ,  

192

192  ,  

768

768

Answer:

6

Step-by-step explanation:

Negative six plus twelve is positive six

Answer:

-6

Step-by-step explanation:

its how it woks

Answer:

what type of answer are you looking for exactly

Step-by-step explanation:

Answer:

[tex]P_1 = 24cm[/tex]

Step-by-step explanation:

Represent:

Phil's height with P

Suzanne's height with S

Phil's shadow with P1

Suzanne's shadow with S1

So, we have:

[tex]P = 51.2cm[/tex]

[tex]S = 5'4"[/tex]

[tex]S_1 = 76.2cm[/tex]

Required

Calculate the length of Phil's shadow --- Missing part of question

To do this, we make use of the following equivalent ratio.

[tex]P:S = P_1 : S_1[/tex]

Convert [tex]S = 5'4"[/tex] to cm

[tex]S = 5ft\ 4in[/tex]

[tex]S = (5*30.48+ 4*2.54)cm[/tex]

[tex]S = 162.56cm[/tex]

Substitute values for P, S and S1

[tex]51.2cm : 162.56cm = P_1 : 76.2cm[/tex]

Express as fraction

[tex]\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}[/tex]

Make P1 the subject

[tex]P_1 = 76.2cm * \frac{51.2cm}{162.56cm}[/tex]

[tex]P_1 = 76.2cm * \frac{51.2}{162.56}[/tex]

[tex]P_1 = \frac{76.2cm * 51.2}{162.56}[/tex]

[tex]P_1 = \frac{3901.44cm}{162.56}[/tex]

[tex]P_1 = 24cm[/tex]

Hence, the length of Phil's shadow is 24 cm

Answer:

18?

Step-by-step explanation:

15x.2=3 (20% of 15)

15+3=18

So new bar is 18 cm

Not really sure but I think lol

Answer:

6x+6

Step-by-step explanation:

Combine like terms:

x + 5x +6

6x+6

Answer:

y = 2x - 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 = 2, then

y = 2x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 2x - 5 ← equation of line

Answer:

3^2 + x^2 = 9^2

9 + x^2 = 81

x^2 = 72

x = [tex]\sqrt{72\\}[/tex], which is about 8.5

Cosine X = 3/9

Cosine X = 1/3

angle x= 70.5

If angle x= 70.5, angle z = 19.5 degrees.

Let me know if this helps!

the other answer is correct but i got overzealous and answered it too so uh yeah the other answer is right and im not the brightest, have a nice day :))

Answer:

53

Step-by-step explanation:

Answer:

i think its -5

Step-by-step explanation:

if you devide 25 by -5 you get -5

Answer: x = -5

Step-by-step explanation:

We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.

First, we will divide -5 from 25.

25 ÷ -5 = -5.

Because of this, x = -5!

If we're not sure, we can also check the equation.

-5 x -5 = 25, so the answer is true.

In conclusion, x = -5!

Answer:

$4 (nearest dollar) ;

$4.4 (nearest dime) ;

$4.41 (nearest penny

Step-by-step explanation:

The actual price of premium gasoline is $4.409 per gallon.

A penny = $0.01 or 1 cent

A dime = $0.1 or 10 cent

Price of premium gasoline to the nearest dollar :

$4.409 is rounded to the nearest unit = $4

Price of premium gasoline to the nearest penny : = $4.409 is rounded to the nearest hundredth = $4.41

Price of premium gasoline to the nearest dime : = $4.409 is rounded to the nearest tenth = $4.4

Answer:

none

Step-by-step explanation:

i dont know