Question is the PNG file.

The vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

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

Here, (h, k) is the vertex point.

Substitute the values for h and k in the above vertex form.

[tex]f(x) = a(x -5)^2+ 3[/tex]

Use another point and substitute in values for x and f(x). Solve for a.

[tex]5 = a(6 - 5)^2 +3\\5-3=a(1)\\a=2[/tex]

Rewrite the function, using the values for h, k, and a. The function is

[tex]f(x) = 2(x -5)^2+ 3[/tex]

Hence, the vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]

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Answer: 1st slot: 2 | 2nd slot: 5 | 3rd slot: 3 | correct on edge 2023!

Answer: 5.

Step-by-step explanation: Originally, Robert had 9 golf balls.  Then, he gave 4 to Tim, so that gives us an immediate clue that this is subtraction.  We can solve this problem by the following:

9 - 4 = ?

9 minus 4 equals 5, so we can fill in the question mark with our answer:

9 - 4 = 5.

Therefore, your answer is 5.

Have a great day! :)

5

Step-by-step explanation:

It is subtraction problem 9 take away 4 and you are left with 5

salary : $12 per hour

Answer:

ok so lets make this into a algrebra equation

22.2(mil)=0.34x

divide by 0.34

65294117.6471=x

x=65294118

Hope This Helps!!!

it should be 137

if not am sorry. am not the best at math

Answer:

After 1 year $46,665

Vf = Vi ( 1 + r/m) ^ tm

Step-by-step explanation:

Vf = Final Value

Vi = Initial Value ($45,000)

r = Interest Rate (3.7%, put in decimal form so .037)

m = Compound Rate (amount of times it increases every year, for this it would be 1)

t = Amount of years you are forecasting

45000 * (1 + .037)²

45000 * (1.037)²

45000 * 1.075369

$48,391.605 in 2 years

Answer:

Radius = 8 in

Area = πr2 = 3.14 x (8)2= 3.14 x (64)

Area = 201.1429 in²

Step-by-step explanation:

hope this helps if not please let me now

Answer:

19%

Step-by-step explanation:

add all them up then figure out what percent of them are dimes you can do this by taking the number of dimes and dividing it by the total number of coin

46/238 = .19

Answer:

615.44 ft 2

Step-by-step explanation:

radius times radius times 3.14(pie)

Answer:

Area of circle = pie r²

22/7×14²

616,,

According to me

Answer:

4 minutes

Step-by-step explanation:

4 minutes has 2 dots associated with it . All other times have only 1 dot.

then 4 minutes is the most common out of the 7

Apply Pythagorean theorem

Again

Answer:

2√5

Step-by-step explanation:

The given pyramid is composed of two right angle triangles. Notice the triangles of the pyramid share a common side. With the help of it, we can figure out x

recall Pythagoras theorem

[tex] {a}^{2} + { b }^{2} = {c}^{2} [/tex]

here,

To find:

now plug in the value of a and c in the formula respectively:

[tex] {4}^{2} + { b }^{2} = {10}^{2} \\ \implies {b}^{2} = {10}^{2} - {4}^{2} \\ \implies {b}^{2} = 84 \\ \implies \boxed{ b_{1} = 2\sqrt{21}}[/tex]

here,

Utilizing Pythagoras theorem yields:

[tex] {x}^{2} + { 8}^{2} = {(2\sqrt{21})}^{2} \\ \implies {x}^{2} = {(2\sqrt{21})}^{2} - {8}^{2} \\ \implies {x}^{2} = 20\\ \implies \boxed{ x= 2\sqrt{5}}[/tex]

and we're done!

The total purchase price of the car including tax, license, and title $27,722.01.

The purchase price of a car is $25,625 the credit union requires a 10% down payment and an annual interest 9% loan for 36 months. The sales tax is given 7.5%, and the license and title charges are $175.13.

The total sale is the product of the selling price and one plus the sales tax rates.

Total sale = selling price × (1 + sales tax rate)

The price of the car including tax

= $25,625 × (1 +7.5%)

= $27,546.88

By adding license and title charges to the amount, we get

= $27,546.88 +175.13

= $27,722.01

Hence, The total purchase price of the car including tax, license, and title $27,722.01.

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Answer:

Your answer would be:

41.2

10¹ = 10

412 / 10 = 41.2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

[tex]\dfrac{3a^2-6a+3}{a^2-1}\\\\=\dfrac{3(a^2 -2a+1)}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)^2}{(a+1)(a-1)}\\\\=\dfrac{3(a-1)}{a+1}\\\\=\dfrac{3a-3}{a+1} ~~~\text{for}~ a\neq 1[/tex]

cscθ is the same as 1/sinθ

Explanation:

csc stands for cosec which is equivalent to   1/sinθ

The expression is thus equal to 1/[sin⁡(4π/3)]

Since we know by consulting the unit circle that  sin⁡(4π/3) = - [(√3)/2]

we get the expression  1/[sin⁡(4π/3)] = 1/(-√3/2)  

which can be simplified to 1/(-√3/2) = 2/(-√3) = (-2√3)/3

Answer:

$125 you will end up w/ $5125

Step-by-step explanation:

Hannah collected more acorns than conkers.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9

Total conkers = 4 + 7 + 9 = 20

Ratio of conkers collected by Hannah to total conkers = 9/20

Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5

Total acorns = 3 + 1 + 5 = 9

Ratio of acorns collected by Hannah to total acorns = 5/9

LCM (9, 20) = 180

9/20 = (9 × 9) / (20 × 9) = 81/180

5/9 = (5 × 20) / (9 × 20) = 100/180

Hence Hannah collected more acorns than conkers.

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Answer:

○ [tex]\displaystyle \pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 3sin\:(2x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle \boxed{y = 3cos\:2x} \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{3}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{3}{4}\pi, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

[tex]\pi[/tex]

Step-by-step explanation:

The trigonometric function shown on the graph is a continuous function, and so its period is the length of one wave of the function (i.e. the horizontal distance between a peak and the next peak, or a trough and the next trough).

From inspection of the graph, the horizontal distance between one peak and the next of the given function is [tex]\pi[/tex].  

Therefore, the period of this trigonometric function is [tex]\pi[/tex]

Answer: C

Step-by-step explanation:

Answer:

25.3m³

Step-by-step explanation:

Answer: Scalene Triangle

Step-by-step explanation:

Answer:

Scalene Triangle

Step-by-step explanation:

Scalene Triangle: All sides are different

Isosceles Triangle: 2 sides are the same

Equilateral Triangle: All sides are the same.

Answer:

315

Step-by-step explanation:

45 x 7 = 315

Multiples of 7: 7, 14, 21, 28... 301, 308, 315

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405

If you need further explanation, let me know!

- profparis

Step-by-step explanation:

Least common multiple of 45 and 7 is 315

Answer:

99

Step-by-step explanation:

Triangles GJH and IJH are congruent, so GJ=IJ=99.

[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,3)

Equation Form:

x = 2, y = 3

Step-by-step explanation:

Answer and Explanation:

1 - 0.69/ 2 = 0.155

0.155 = -1.02

(-1.02, 1.02) = z

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is  (-1.02, 1.02).

Z- score refers to how much a given value differs from the standard deviation.

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.

α = 1 - 0.69/ 2

α =  0.155

0.155 = -1.02

z = (-1.02, 1.02)

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