Find the vertex and the axis of symmetry of the graph of f(x) = 1/4(x-6)^2

OPTION C IS THE CORRECT ANSWER.

Answer:

3

Step-by-step explanation:

f(x) =2x+3

Let x=0

f(0) =2*0+3

Multiply

f(0) =0+3

Add

f(0) =3

Answer:

3

step-by-step explanation

f ( x ) = 2 x + 3

f ( 0 ) = 2 × 0 + 3 .. ( f ( x = 0 ) - given )

multiply

f ( 0 ) = 0 + 3

Add the numbers

f ( 0 ) = 3

Answer:

67

Step-by-step explanation:

Answer.

67°

Step-by-step explanation:

the two lines are parallel so,

angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.

therefore, angle y= 67°

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Answer:

3, 5, 7, 7, 8

Step-by-step explanation:

3, 5, 7, 7, 8

the mean = (3+5+7+7+8)/5 = 30/5= 6

the mode = 7

Answer:

my answer is in this picture. sorry about my handwriting.

Answer:

426 chickens

Step-by-step explanation:

let the pigs = x

the ducks = 2×x = 2x

the chickens = 3×(2x) = 6x

x +2x +6x = 639

9x=639

x = 639/9 = 71

the chickens = 6x = 6×71 = 426

Answer:

[tex]426\:\mathrm{chickens}[/tex]

Step-by-step explanation:

Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:

[tex]\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}[/tex], where [tex]d[/tex] is the number of ducks on the farm, [tex]c[/tex] is the number of chickens, and [tex]p[/tex] is the number of pigs.

Substituting, we get:

[tex]d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}[/tex]

Now substitute [tex]d=142[/tex] into [tex]c=3d[/tex] to get the number of chickens:

[tex]c=3(142)=\boxed{426\:\mathrm{chickens}}[/tex]

Answer:

write these time in words 3:45

Answer:

the difference is 39? for the answer

Step-by-step explanation:

The question is not exactly worded in such a way that one can tell how it should be answered.

If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are

17 + 23

37 + 3

11+ 29

So the difference between 37 and 29 = 8

There are no guarantees about this answer. I'm just doing it the way the question reads.

Answer:

b = -a

Step-by-step explanation:

We know that:

On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).

And we know that, for example, when:

b = 2,  a = -2

Remember that the distance between two values is given by:

|n - m|

Then the distance between 0 and b is:

|0 - b|

and the distance between 0 and a is:

|0 - a|

we have:

|-b| = |-a|

|b| = |a|

But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:

b = -a

or

-b = a

(these are equivalent)

Then the correct option is the first option:

b = -a

Answer: x= -5+ 2 squared.

Step-by-step explanation:

Answer:

the answer is the third option

Step-by-step explanation:

Answer: easy

Step-by-step explanation: 0.25 there

Answer:

x=12 .  x=-12

Step-by-step explanation:

ONce you do the quadratic equasion than you move on to the solving part and from ther it is easy

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

Answer:

6:22

Step-by-step explanation:

original time minutes when they both started - 47

47+ natalie's time

47+27 =74

minus 60 minutes to account for the hour (6 o'clock)

74-60=14

natalie finished at 6:14

warren finished 8 minutes after natalie's time

14+8=22

the hour did not finish so it will remain at 6

which leaves your final answer for the time that warren finished as 6:22

Answer:

It b

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

I did the test

Answer:

$600.00

Step-by-step explanation:

The difference between the interest for first and second year on a sum of money compounded annually is rs 30 if the rate of interest is 5% what was the sum of money deposited

We solve using Compound Interest formula which is given as:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 per year,

Then, solve the equation for P

P = I / ((1 + r/n)^nt - 1)

P = 30 / ((1 + 0.05/1)^(1×1) - 1)

P = 30 / ((1 + 0.05)^(1) - 1)

P = $600.00

Answer:

y = 1/3 x + 5/3

Step-by-step explanation:

For rectangular to polar

x = rcosθ ... 1

y = rsinθ ... 2

Given the expression

r=5/3sinθ−cosθ

Cross multiply

r(3sinθ−cosθ) = 5

Expand

3rsinθ−rcosθ = 5 ..3

Substitute 1 and 2 into 3

3y - x = 5

Write in slope intercept form

3y = x + 5

Divide through by 3;

3y/3 = x/3 + 5/3

y = x/3 + 5/3

y = 1/3 x + 5/3

Hence the expression in slope-intercept form is y = 1/3 x + 5/3

Answer:

401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

Answer:

56

Step-by-step explanation:

Answer and explanation:

Assuming Edmund has $0

From Edmund, we know the toy costs $40(assuming it's in dollars)

Lucy gives him $40 and has $10 less($40-$10) to buy her own toy

Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.

Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

the answer is a 90° clockwise rotation

Answer:

Iron deficiency, hypoglycemia, and scurvy.

Step-by-step explanation:

Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.

Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia.  People would have to consume more glucose or take insulin shots to get the amount back to normal.

Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.

Answer:

a. Alternate exterior angles.

b. <A and <B are congruent. This diagram involves a line intersecting two parallel lines, forming the congruent angles <A and <B on opposite sides of the transversal.

c. They are alternate exterior angles like <A and <B, but because it is not guaranteed that the transversal is intersecting parallel lines in this case, we cannot prove that <C and <D are congruent alternate exterior angles.

Answer:

A decimal is always placed in this order :

thousands, hundreds, tens, separator, tenths, hundredths, thousandths.

In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.

Answer:

1/4

Step-by-step explanation:

pitches >3

pitches=4,5

P=(15+10)/(15+20+40+15+10)=1/4

Answer:

8f² + 11f

Step-by-step explanation:

there are no expressions listed

This is the expression simplified

8f² + 11f