Identify the equation of the parabola in vertex form if a = 1 and the vertex is (4, 6).

a) y = (x - 6)2 + 4

b) y = (x + 6)2 +
+4

c)y=(x + 4)² +6

d) y = (x - 4)2 + 6

Answer:

There isn't a clear answer

Step-by-step explanation:

Answer:

y=17

Step-by-step explanation:

y=4x+5

change x to 3

y=4(3)+5

y=12+5

y=17

The required value of y is 17 when x=3 for the given equation y = 4x + 5.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The equation of function is given in the question, as follows:

y = 4x + 5

We have to determine the value of y when x=3 for the above equation.

As per the question, we have

y = 4x + 5

Substitute the value of x = 3 in the above equation,

y = 4(3) + 5

y = 12 + 5

y = 17

Thus, the required value of y is 17.

Learn more about the equations here:

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Answer:

23

Step-by-step explanation:

PEMDAS states that you must do parenthesis first:

(5+4)=(9)

Then Multiplication:

3(9)=27

2*4=8

Then addition and subtraction right to left:

27+4-8

31-8

23

Answer:

welp ok

Step-by-step explanation:

Answer:

ok done

Step-by-step explanation:

Answer:

Sydney is 31 years old.

Step-by-step explanation:

LET age of Devon be x years

and let age of Sydney be y years

if x=y-5-------(i)

x+y= 57 (sum)

Using (i)

(y-5)+y=57

2y=62

y=31

Answer:

2X = Y

Step-by-step explanation:

To determine the equation that will allow to establish the amount of souvenirs bought by Aubrey (Y), taking into account that for each day of vacation (X) buys 2 souvenirs, the following must be taken into account:

The number of days (X) must be multiplied by 2. Thus, if you buy 2 souvenirs per day and your vacation lasts 4 days, you will have bought 8 souvenirs (4 x 2). Thus, the value of Y is equal to 2X, that is:

2X = Y

Answer:

1,2,4,29,58,116

Step-by-step explanation:

Prime factorization 116=2x2x29

Answer:

A

Step-by-step explanation:

B) No 27 is a multiple of 3 alone.

C) No 43 is prime. If you replaced it with 42 all would be well.

D) N 53 is prime.

A) everything is divisible by 7.

Answer:

a total of 56 atoms

Step-by-step explanation:

Aluminum carbonate is the compound

Yes, you multiply what is inside the parentheses times 4 and also times 3. That is:

8 atoms of Al

36 atoms of Oxygen

and

12 atoms of Carbon

giving a total of 56 atoms

Answer:

⅓

[tex] \frac{5}{9} \times \frac{3}{5} [/tex]

[tex] = \frac{1}{3} \times \frac{1}{1} [/tex]

[tex] = \frac{1}{3} [/tex]

[tex] \frac{1}{3} \div \frac{3}{5} [/tex]

[tex] = \frac{1}{3} \times \frac{5}{3} [/tex]

[tex] = \frac{5}{9} [/tex]

#CarryOnLearning

Hey there!

When you see the word “of” in mathematical statement, it usually means “multiply” (aka Multiplication)

“3/5 of 5/9”

3/5 • 5/9

MULTIPLY the NUMERATORS (TOP NUMBERS) from each other & also MULTIPLY the DENOMINATORS (BOTTOM NUMBERS) from each other!

3(5) / 5(9)

3(5) = 15 ⬅️ NUMERATOR

5(9) = 45 ⬅️ DENOMINATOR

15/45

The GCF (Greatest Common Factor) for both of your numbers is: 15.. so DIVIDE both the NUMERATOR and DENOMINATOR from 15

15 ÷ 15 / 45 ÷ 15

15 ÷ 15 = 1 ⬅️ NUMERATOR

45 ÷ 15 = 3 ⬅️ DENOMINATOR

Answer: 1/3 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

9.48

Step-by-step explanation:

Answer:

3√10 or about 9.49 units.

Step-by-step explanation:

To find the distance between any two points, we may use the distance formula given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (3, 5) be (x₁, y₁) and (12, 2) be (x₂. y₂). By substitution:

[tex]d=\sqrt{(12-3)^2+(2-5)^2[/tex]

Evaluate:

[tex]d=\sqrt{(9^2)+(-3)^2[/tex]

Square:

[tex]d=\sqrt{81+9}[/tex]

Simplify:

[tex]d=\sqrt{90}=\sqrt{9\cdot10}=\sqrt{9}\cdot\sqrt{10}=3\sqrt{10}\approx9.49[/tex]

The distance between (3, 5) an (12, 2) is 3√10 or about 9.49 units.

Answer:

70

Step-by-step explanation:

180 - 52 - 58 = q

q = 70

hope this helps...

Step-by-step explanation:

Effective resistance in the 30Ω and 40Ω parallel circuit = 1 / (1/30 + 1/40) = 120/7 Ω.

20Ω + 10Ω = 30Ω

Effective resistance in the 50Ω and (20Ω + 10Ω) parallel circuit = 1 / (1/50 + 1/30) = 75/4 Ω.

Now we can add the resistances up:

Effective resistance for circuit

= 120/7 Ω + 75/4 Ω = 1005/28 Ω.

Hence I = V / R

= 9.0V / (1005/28 Ω) = 0.25A. (2s.f.)

Answer:

x>22

Step-by-step explanation:

Answer:

705.5 ft^2

Step-by-step explanation:

a=πr²

a=π15²

a=π225

a=(3.14)(225)

a=705.5

Answer:

Produce per pound costs  less than  meat per pound because the  slope  of the graph for meat is greater than  that of the graph for produce.

The  slope  of the graph tells you the unit rate in  dollars per pound .

[tex]x = - \frac{2(5 + 3y)}{5} [/tex]

[tex]y = - \frac{5(2 + x)}{6} [/tex]

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

[tex]y = \frac{3(2 + x)}{2} [/tex]

Step-by-step explanation:

[tex]\huge\bold\purple{ equivalent\: of \: -10d+24 }[/tex]

Answer:

767657

Step-by-step explanation:

Answer:

Help with what....????

Step-by-step explanation:

Answer:

3 trops

11 bops

Step-by-step explanation:

3×3=9

11×2=22

22+9=31

Answer:

one container has 18/2 = 9 glasses so 3 will have (9)(3) = 27 glasses

Step-by-step explanation:

Answer:

Step-by-step explanation:

C

Answer:

What's the question? :)

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Pentagon's sum of interior angle is 540°

let's add all the given degrees

100+20x+16x+16+140+160-5x=540

Collect like terms

100+16+140+160+20x+16x-5x=540

416+31x=540

31x=540-416

31x=124

x=124/31

x=4```

Answer:

Slope 'm' = [tex]\frac{5}{2}[/tex]

And y-intercept = 2

Step-by-step explanation:

Slope-intercept form of a line is given by the equation,

y = mx + b --------(1)

Here, m = slope of the line

b = y-intercept

Given equation is,

5x - 2y = -4

2y = 5x + 4

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

By comparing this equation with equation (1),

Slope 'm' = [tex]\frac{5}{2}[/tex]

And y-intercept = 2

Answer:

Length, L = 9 feet.

Width, W = 11 feet.

Step-by-step explanation:

Given the following data;

Perimeter = 40 feet

Length = 3x

Width = 2x + 5

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

40 = 2(3x + 2x +5)

40 = 2(5x + 5)

40 = 10x + 10

10x = 40 - 10

10x = 30

x = 30/10

x = 3

Now, to find the length;

Length, L = 3x

Substituting into the equation, we have;

Length, L = 3*3

Length, L = 9 feet

To find the width;

Width, W = 2x + 5

Substituting into the equation, we have;

Width, W = 2(3) + 5

Width = 6 + 5

Width, W = 11 feet.

Answer:

A.

mean = 724.2

Median = 715

Mode = 768

B.

Range = 85

Standard deviation = 29.30

C.

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

A.

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

B.

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

C.

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

Answer:

Step-by-step explanation:

you have to divide

Answer:

101.8181...

Step-by-step explanation:

I divided heres how.

1 inch equals 22 miles

2240 miles

2240/22=101.8181...

Hope this helps you.

Answer:

9h - 9

Step-by-step explanation:

9(h - 1)

distribute

(9 * h) + (9 * - 1)

9h + (9 * - 1)

9h + -9

9h - 9

Answer:9h-9

Step-by-step explanation: