how do i write an equation of a quadratic formula when given the roots and y intercept? is there a formula i can plug the numbers in or something?

Answer and explanation:

Given the above, we find y in terms x

change in y change in x = 0.5

The formula for a straight line is y= mx+b where m is slope of the line and b is the y intercept

We substitute given values above in the straight line equation:

y=mx+b

1.5= 0.5×3+b

1.5=1.5+b

b= 0

y in terms of x for the line is therefore given by the formula :

y=0.5x+0

Answer:

HCF 8, 12, 16 = 4

HCF 14, 28 = 14

14 - 4 = 10

Answer:

169.2 is 132.1875% of 128

Step-by-step explanation:

Answer:

$26.98 each

Step-by-step explanation:

Answer:

Approximately $26.98 each

Step-by-step explanation:

Divide 188.88 by 7 to get the cost for each. The round to the nearest hundredth.

Answer:

12 pigs and 20 chickens

Step-by-step explanation:

Chicken = 2 legs

Pig = 4 legs

(15 * 4) + (17 * 2) = 88                          NO

(12 * 4) + (20 * 2) = 88                         Yes, and 12 + 20 = 32

Answer:

$3 is 15% of $20.

10% of $20: $2

5% of $20: 2/2 = 1

2 + 1 = 3 or 10% + 5% = 15%

Club on white bread

Step-by-step explanation:

Answer:

52%

Step-by-step explanation:

Answer:

b=7/33 c= 14/33

Step-by-step explanation:

Repeat all 21 they are repeating decimals

for b its 100x-x=21.21 repeating the 21 -0.21 repeating the 21 = 100x-1x=(21+0.21)-0.21= (100-1)x=21+0.21-0.21 [ stop repeating the 21's up to here] and 99x=21+0 = 99x=21 = 99x/99=21/99 both 99's cancel leaving 3x7 divided by 3x33 = x= cancel both 3's leaving 7 over 33 This should help you learn to solve c good luck

Answer:

Maybe the second or fourth? Im not sure, sorry!

Step-by-step explanation:

Answer:

Around 21 cents per bottle.

Good price!

Answer:

AG = 10

GD = 5

CD = 12

Step-by-step explanation:

Centroids divide a median (like AD) into two segments that are in a 2:1 ratio. That's the centroid's special power. So if AD is a total of 15 units long, then dividing it into two segments in a 2:1 ratio means the long side is 10 and the short side is half that, or 5, which checks out because 10+5 = 15.

Now you have GD = 5, and you also know that angle GDC is 90 degrees, so you know triangle GDC is a right triangle, which means it obeys the Pythagorean Theorem.

so CD² + GD² = CG²

so CD² + 25 = 169

CD² = 144

CD = 12

Answer:

maybe. hope this help....

Answer:

Y=3

X=9/5

Step-by-step explanation:

(1) 5x=y+6

(2) 5x+2y =3

Replace (1) to (2) => (y+6)+2y=3 => y=3

Replace y=3 to (2) => 5x = 3+6 => 5x=9 => x=9/5

Answer:

[tex] an \: equation \: for \: this \: problem \:i s \: \to : \\ \boxed{ 7200 = 12t}[/tex]

Step-by-step explanation:

[tex]let \: the \: distance \: be \to \: d \\ \\ let \: the \: speed \: rate \: be \to \: s \\ \\ let \: the \: time \: of \: action \: be \to \: t \\ therefore \to: \\ s = \frac{d}{t} = 12 = \frac{7200}{t} \\ \\ 7200 = 12t \\ [/tex]

Answer:

(-3,-1)

Step-by-step explanation:

6x-12y=-6

6x=12y-6

x=2y-1

9(2y-1)-6y= -21

18y-9-6y=-21

12y= -12

y=-1

6x-12(-1)=-6

6x+12= -6

6x=-18

x=-3

Answer:

x = -3 ; y = -1

Step-by-step explanation:

Let 9x - 6y = -21 be eqn.1 & let 6x - 12y = -6 be eqn.2 .

Lets find the value of x from eqn.1

[tex]9x - 6y= -21[/tex]

[tex]=> 3(3x - 2y) = -21[/tex]

[tex]=> 3x - 2y = \frac{-21}{3} = -7[/tex]

[tex]=> x = \frac{2y - 7}{3}[/tex]

Now , lets put the value of x (which we got from eqn.1) in eqn.2 :-

[tex]6x - 12y = -6[/tex]

[tex]=> 6(x - 2y) = -6[/tex]

[tex]=> x - 2y = \frac{-6}{6} = -1[/tex]

(Putting x here)

[tex]=> \frac{2y - 7}{3} - 2y = -1[/tex]

[tex]=> \frac{2y - 7 - 6x}{3} = - 1[/tex]

[tex]=> -4 y - 7 = -1 \times 3 = -3[/tex]

[tex]=> -4y = 7 - 3 = 4[/tex]

[tex]=> y = \frac{-4}{4} = -1[/tex]

Now , lets find the value of x.

[tex]x = \frac{2y - 7}{3}[/tex]

Putting y = -0.5 gives ,

[tex]x = \frac{[2 \times (-1)] - 7}{3}[/tex]

[tex]=> x = \frac{-2 - 7}{3} = \frac{-9}{3} = -3[/tex]

Answer:

Step-by-step explanation:

5. 24

6. 14

7. 45

8. 15

9. 5

10. 5

11. 18

12. 12

13. 8

14. 84

Answer:

it's  equals 7

Step-by-step explanation:

Answer:

380%

Step-by-step explanation:

Turn into an improper fraction:

3x5=15 15+4= 19/5

You can do two ways

multiply by 20

19      x20            380

------                = ----------

5        x20           100

Other way: put into calculator

3,8

Turn into percent by multiplying by 100

=380

Answer:

a) The y-intercept is 160. It represents the initial distance Jayden was from his home.

b) The x-intercept is 4. It represents the amount of time taken for Jayden to reach his home.

Step-by-step explanation:

The y-intercept can be found by looking at the value of y when x=0. When x=0, y= 160. Since the x-axis is the amount of time in hours, x=0 would mean the initial time. The x-axis is the number of miles from Jayden's home thus, Jayden was 160 miles away from his home when x=0 hours.

The x-intercept can be found by looking at the x value when y=0. When y=0, x=4. This means that it took Jayden 4 hours to reach home or 4 hours to travel 160miles to his house.

Answer:

5,022 Students

Step-by-step explanation:

All you have to do it multiply!

Like so:

81*62= 5,022

Answer:

it's answer is B

4 hours = $26

1 hour = $26/4 = $13/2

8 hour = $13/2 * 8

= 13 * 4 = $52

hope it helps you

Answer:

B. Rachael

Step-by-step explanation: each employee gets paid 26 dollars per 4 hours so Rachael's total was $52 so 26 times 2 = 52 . I hope this helps!!

Answer: um what do u mean?

Answer:

p=78

Step-by-step explanation:

73+p=151

73-73+p=151-73

p=78

Answer:

207°

Step-by-step explanation:

The required number next number in the sequence is 27.

Given that,
Sequence = 55, 48, 41,34, the number that comes next in the sequence is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

here,
Given sequence,
55, 48, 41, 34
The sequence has a common difference of 7,
When we subtract 7 from the number 34, the next number in the sequence can be calculated,
So.
next number = 34 - 7 = 27

Thus, the required number next in the sequence is 27.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ2

Answer:

6

Step-by-step explanation:

The formula for doubling time is given as:

P(t) = Po(2)^t/k

Where:

P(t) = Population after time t = 28,284

Po = Initial Population = 20,000

t = time = 3 days

k = doubling time = ?

28,284 = 20,000 × (2)^3/k

Divide both sides by 20,000

28,284/20,000 = 20,000/20,000 × (2)^3/k

1.4142 = (2)^3/k

2^1/2 = (2)^3/k

Divide both sides by 2

1/2 = 3/k

Cross Multiply

k × 1 = 2 × 3

k = 6

Therefore, the doubling time(k) of the bacteria is 6

Answer:

8,3

Step-by-step explanation: