Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.

Answer:

a)  y = (x - 3)²

b)  y = x² - 4

c)  y = (x + 2)²

d)  y = x² + 5

e)  y = (x + 6)² - 7

f)  y = (x - 2)² + 5

Step-by-step explanation:

Parent equation:  y = x²

Transformed equation:  y = (x - h)² + k

h translates the parabola horizontally

If h > 0 then the translation is h units to the right.

If h < 0 then the translation is h units to the left.

If h = 0 then there is no horizontal translation.

k translates the parabola vertically

If k > 0 then the translation is k units up.

If k < 0 then the translation is k units down.

If k = 0 then there is no vertical translation.

a) The parabola moves 3 units to the right:  

⇒ y = (x - 3)² + 0

⇒ y = (x - 3)²

b) The parabola moves 4 units down:

⇒ y = (x - 0)² - 4

⇒ y = x² - 4

c) The parabola moves 2 units left:  

⇒ y = (x + 2)² + 0

⇒ y = (x + 2)²

d) The parabola moves 5 units up:  

⇒ y = (x - 0)² + 5

⇒ y = x² + 5

e) The parabola moves 7 units down and 6 units left:  

⇒ y = (x + 6)² - 7

f) The parabola moves 2 units right and 5 units up:  

⇒ y = (x - 2)² + 5

#a

Equation

#b

4 units down in y axis

#c

2 units left in x axis

#d

5 units up in. y axis

#e

7units down in y axis and 6 units left in x axis

Answer:

Jaun's solution is incorrect.

Step-by-step explanation:

If Jaun's solution to the equation is 33, we can check this by substituting z=33 and solving 33 - 14 = 29. Since 33-14=19 and 19 does not equal 29, Jaun's answer is incorrect.

Hope this helps! :)

The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute.

Geometrically speaking, the average rate of descent (r), in feet per minute, is represented by a secant line, which represents in this case the change in elevation (Δz), in feet, divided by the change in time (Δt). A mathematical description of the formula is shown below:

r = Δz/Δt     (1)

If we know that Δz = 30 ft and Δt = 40 min, then the average rate of descent is:

r = 30 ft/40 min = 0.75 ft/min

The Victoria's average rate of descent by hiking down from an elevation of 150 feet to an elevation of 120 feet in 40 minutes is equal to 0.75 feet per minute. [tex]\blacksquare[/tex]

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Answer:

ig 2 months

Step-by-step explanation:

If you were born in 1955 your full retirement age is 66 and 2 months. If you start receiving benefits at age 66 and 2 months you get 100 percent of your monthly benefit. If you delay receiving retirement benefits until after your full retirement age, your monthly benefit continues to increase.

Answer:4(5x+1)

Step-by-step explanation: you want to subtract the numbers 4+5x(6-2)/4+5x(4) so you'll need to  multiply 5 and 4 so 4+5x*4 but i'm goin to make it smaller so it would be 4+20x  but you have to rearrange it instead of it being 4+20x it would be 20x+4 .And the common factor would be 4(5x+1).

I hope this helps and makes sense.

To find the area of the triangle

  ⇒ must know the area of the triangle's formula

     ⇒ [tex]\frac{1}{2} *base*height[/tex]

Let's look at the information given:

Let's solve:

 [tex]Area=\frac{1}{2} *base*height=\frac{1}{2} *\frac{61}{4} *18 = 137.55in^2[/tex]

Thus the area is 137.55 square inches

Hope that helps!

Answer:

A fingerprint can last on a surface from 2 hours to 40 years on average.

Step-by-step explanation:

Most fingerprints will get erased due to impact from humidity and heat.

Answer:

sine(∡DAB) = 0.5

Step-by-step explanation:

∡[tex]ACD=[/tex]∡[tex]ADB[/tex] = 60°

∡[tex]DAB=(180-90-60)^{o} =30^{o}[/tex]

[tex]sin(30^{o})= 0.5[/tex]

Hope this helps

Answer:

Step-by-step explanation:

A

The given composition function is combination is F(x)=√x+1 and G(x)=3x. Therefore, option D is the correct answer.

The given function is G(F(x))=3(√x+1).

F(x)=√x+1 and G(x)=3x

The composite function is G(F(x))

Replace x by √x+1 in 3x, we get

3(√x+1)

Therefore, option D is the correct answer.

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Answer:

76 Square Feet

Step-by-step explanation:

First, add all the numbers you see up. Your final answer of square feet will be the total you added up as a whole.

24+14+4+6+5+3+15+5= 76

Answer:

IM NOT. NNOT SURE BUT I THINK... the area may be 177? if i did it right, please check my equations though!

Step-by-step explanation:

so we first have to find the area of alllll the rectangles/squares in that weird squiggly shape

lets do the top

the width is 15 ft and the length is 5ft

so to find the area you have to do length times with so

A = lw

A = 15(5)

A = 75

so the first shape is 75

now lets do something real quick (im sorry this is all messed up infromation i have a dba (call) in like 16 mins and i gotta hurry. but illl come back if you need more explinations)

let first shape be f

let second shape be s

let third shape be t

let R be the area of the total shape

f + t + s = R

75 + t + s = R

now to find t

so the width would be 9ft and the length would be 8ft

A = lw

A = 9(8)

A = 72

75 + 72 + s = R

now to find s

the width is 5fth and the length is 6ft

A = lw

A = 6(5)

A = 30

now i think we add?

75 + 72 + 30 = R

75 + 102 = R

177 = R

i think the area is 177? (if i remeber how to do this correctly)

btw I will come back later and upload a pic of how i did it if you like. i must go now cause my teacher is gonna ask me civics questions and im so bad at that subject!!!!  

Answer: 29 cookies.

Step-by-step explanation: 96/8=32       32-3=29        boom. maths.

The number of cookies baked by Grandma= 96

If she divides them evenly amount 8 children, then by division operation the number of cookies received by each child = (number of cookies) ÷ (number of children)

= (96) ÷ (8) = 12

Since, Cindy, received c fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren.

Hence, the number of cookies received by Cindy = 12-c

Answer:

monkey is monkey so monkey and monkey conbided = baby little happy monkey

Step-by-step explanation:

Answer:

Step-by-step explanation:

no problem

296 rounded to the nearest hundred would be 300 and 2423 would be 2400 there hope it helps

The product of 296 and 2.423 rounded to the nearest hundred would be 717.20

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of trimmed from the right in terms of exact digits.

We need to find the product of 296 and 2.423

296 x 2.423 = 717.20

Thus, 717.20 rounded to the nearest hundred .

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Answer:

Integer: 9

Nearest 10th: 9.5

Step-by-step explanation:

Answer:

A. 4(12)

C. 36+12

E. (9+3) +(9+3) +(9+3) +(9+3)

Step-by-step explanation:

[tex]4(9+3)=48[/tex]

[tex]4*9=36\\4*3=12[/tex]

           [tex]48[/tex]

[tex]4*12=48[/tex]

[tex]36+12=48[/tex]

[tex](9+3) +(9+3) +(9+3) +(9+3)\\12+12+12+12[/tex]

=48

Answer:

800

Step-by-step explanation:

Check out the attached photo

Ans:

11 and four twelfths

Step-by-step explanation:

The domain of the function in interval form is (-∞, -8) U (-8, ∞)

The domain of a function is the point where the real value of the function exists.

Given the funciton

f(x) = x - 7/x+8

The function will exist on all real values except the point where the denominator is zero.

x + 8 = 0

x = -8

The domain of the function in interval form is (-∞, -8) U (-8, ∞)

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Answer:

I do know Part B. No, Renees mom does not have enough, since 4 ounces per day, isn't enough coffee. Hope this helped!

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

306/9=34

Q1: Solutions: x = 2 and x = 4, Axis of symmetry: x = 3.

Q3: (x, y) = (-3, 5).

Q4: A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex.

Q5: [tex]x \in \mathbb{R}[/tex]

Q6: [tex]y \in [-5, + \infty)[/tex]

Graphically speaking, second order polynomials are represented by parabolas. In this question we must interpret the graphs to find all the required information.

The solutions to the graph are those values of x such that the graph goes through the x-axis and the axis of symmetry is a line that goes through the vertex ot the parabola and is perpendicular to the width of the curve.

Thus, the solutions to the graph are x = 2 and x = 4 and the axis of symmetry is x = 3. [tex]\blacksquare[/tex]

The vertex is the extreme point of a parabola, which may be a minimum or a maximum, but never both. The vertex of the parabola is located at (x, y) = (-3, 5). [tex]\blacksquare[/tex]

A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex. [tex]\blacksquare[/tex]

The domain of the function is defined by the set of x-values such that the function exists. Thus, the domain of the quadratic function is [tex]x \in \mathbb{R}[/tex]. [tex]\blacksquare[/tex]

The range of the function is defined by the set of y-values such that the function exists. Thus, the range of the quadratic function is [tex]y \in [-5, + \infty)[/tex].  [tex]\blacksquare[/tex]  

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Answer:

2/5 of the sugar is caster sugar

The price that it cost to seed the inside of this track is $1,040.4

The formula for calculating the area of a rectangle is expressed as:

A  = length * width

Let the length be 51 and the width be 102 yd such that:

Area of the grass = 51 * 102
Area of the grass = 5202 square yard

If it costs $.25 per square yard to seed an area of grass, the price fror the area inside the track is:

Price = 0.2 * 5202
Cost of the track = $1,040.4

Hence the price that it cost to seed the inside of this track is $1,040.4

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Step-by-step explanation:

mean = sum of all data points / number of data points

median = the number, where half of the other numbers is larger, and the other half is smaller.

4 4 5 6 6

2 2 3 9 9

both mean values are 5.

the median of the 1st is 5, if the second is 3.

Answer:

A = 28 cm²

Step-by-step explanation:

area of square = 4 × 4 = 16 cm²

area of trapezium = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁ , b₂ the parallel bases

here h = 2 , b₁ = 8 , b₂ = 4

area of trapezium = [tex]\frac{1}{2}[/tex] × 2 × (8 + 4) = 1 × 12 = 12 cm²

area of the logo (A) = 16 + 12 = 28 cm²

Answer:

-2

Step-by-step explanation:

plug values for r and s into the equation 8r - 10s.

so, 8(11) - 10(9)

88 - 90 = -2

hope this helps!