Stephanie wants to find out how much a visit to an amusement park will cost her. The amusement park charges a $20 admission fee, as well as SO 50 for each nder. The expression 0.50r + 20 represents this situation Evaluate this expression when r = 15 Explain what this value means in terms of the context of Stephanie's visit to the amusement park​

Answer:

(x1,y1) = (1, 2)

(x2,y2) = (-1,0)

Step-by-step explanation:

Given: f(x) = x²(x + 1) and g(x) = x + 1

To find the intersection, then set functions equal to each other to solve for x first.

x²(x + 1) =  x + 1; divide by (x+1) from both sides

[tex]x^{2}[/tex] = 1; take the square root to both sides

x = ±1;

The graphs intersect at two points (x1,y1) and (x2,y2)

Use x=1

f(1) = x²(x + 1) = [tex]1^{2}[/tex](1+1) = 2

g(1) = x + 1 = 1 + 1 = 2

(x1,y1) = (1, 2)

Use x= -1

f(-1) = x²(x + 1) = [tex](-1)^{2}[/tex](-1+1) = 0

g(-1) = x + 1 = -1 + 1 = 0

(x2,y2) = (-1,0)

The points of intersection of two functions are required.

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

The given functions are

[tex]f(x)=x^2(x+1)[/tex]

[tex]g(x)=x+1[/tex]

Equating them with each other

[tex]x^2(x+1)=x+1\\\Rightarrow x^2=\dfrac{x+1}{x+1}\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]

Substitute the [tex]x[/tex] value in one of the functions.

[tex]x=1[/tex]

[tex]f(1)=1(1+1)=2[/tex]

[tex](1,2)[/tex]

[tex]x=-1[/tex]

[tex]f(-1)=(-1)^2(-1+1)=0[/tex]

[tex](-1,0)[/tex]

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

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Answer:

DONE!

Step-by-step explanation:

67132/7 = 9590.28571429

Rounded to the nearest tenth: 9590.3

Answer:

9590.3

Step-by-step explanation:

finally got to answer lol

Answer:

Step-by-step explanation:

1 soft drink = $3                            35-3=32         32/8=4

therefor each candy bar costs $4

Hope this helped!!! :)))

Answer:

4

Step-by-step explanation:

Sandy got 8 bars and a drink for 3 bucks and ended up wasting 35 dollars what you have to do is 35-3 and that = 32 and what you do to that 32 is ÷ it by 8 which gets you 4

I am going to assume that the equation was supposed to be  [tex]9y^{5}[/tex][tex]-10y^{3}[/tex]

Answer:

It is a polynomial. It is a binomial and it has a degree of 5.

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so [tex]9y^{5}[/tex][tex]-10y^{3}[/tex] will be considered a polynomial.

A binomial is a polynomial with 2 terms.

The degree of a polynomial is the highest exponent in it which in this equation is 5.

its an eqilateral triangle. they are always “positioned” at 180 degrees.

Answer:

It is wrong because she should simplify both sides of the equation,distribute, combine like terms,subtract and divide to get the final answer.

4x−2(3x−4)+4=−x+3(x+1)+1

Step 1: Simplify both sides of the equation.

4x−2(3x−4)+4=−x+3(x+1)+1

4x+(−2)(3x)+(−2)(−4)+4=−x+(3)(x)+(3)(1)+1(Distribute)

4x+−6x+8+4=−x+3x+3+1

(4x+−6x)+(8+4)=(−x+3x)+(3+1)(Combine Like Terms)

−2x+12=2x+4

−2x+12=2x+4

Step 2: Subtract 2x from both sides.

−2x+12−2x=2x+4−2x

−4x+12=4

Step 3: Subtract 12 from both sides.

−4x+12−12=4−12

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

Answer:

x=2

Answer:

it is in order to combine like terms on one side of the equation, the inverse operations must be used

Step-by-step explanation:

trust me I took it on edge

Answer: the original price was $60! <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 - right triangle

2 - Acute triangle

3 - Acute triangle

4 - Obtuse triangle

5 - Acute triangle

Answer:

1. right

2. obtuse

3. acute

4. obtuse

5. acute

Step-by-step explanation:

Answer:882

Step-by-step explanation:5 percent of 840 is 42 so 840 plus 42

Answer:

882

Step-by-step explanation:

Answer:

1135.38

Step-by-step explanation:

Original amount  = 1015;

First decrease = 6%

Followed by an increase  = 19%

Unknown:

Final amount:

Solution:

If 100% of a value implies multiplying by 1;

        6% decrease  = 0.94

        19% increase  = 1.19

Now;

Final amount  = 1015 x 0.94 x 1.19  = 1135.38

Step-by-step explanation:

es la numero     3

Answer:

Option 3 is the most common plot for Anna’s flowers

Answer:

y = -1.25x +2

Step-by-step explanation:

Using Point-Slope formula we can create an equations.

y - y1 = m(x - x1)

substitute:

y + 8 =-5/4(x - 8)

-5/4 = -1.25

y + 8 = -1.25 ( x - 8)

Distribute:

y + 8 = -1.25x + 10

subtract 8 from both sides:

y = 1.25x + 2

Hope this helps!

Answer:

Step-by-step explanation:

Let the integers be:

Then we have:

Solving for n:

So the numbers are 44 and 46

Answer:

a

Step-by-step explanation:

i don't really know just Draco told me i should answer this

Answer:

x= -0.01984

Step-by-step explanation:

You divide both sides by 3125 to get x alone.

You get x=-0.01984

Hope this helps!

Answer:

D. 50

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

180-130=50

Answer:

the answer is x= 1/4 :D .....

Answer: bro its x=1 over 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

(i) 4*8 = 32

(ii) 2* (4 * 8) = 64

Step-by-step explanation:

(i) 4*8

4 × 8 = 32

(ii) 2* (4 * 8)

2 × (4 × 8)

2 × (32)

2 × 32 = 64

-TheUnknownScientist

Answer:

(i) 4*8 = 32

(ii) 2(4*8) = 2*32 = 64

Answer:

5+6=11

So,the probability to get 11 is 5+6

Step-by-step explanation:

Answer:

5 + 6 = 11

Step-by-step explanation:

a dice contains 6 numbers

1, 2, 3, 4, 5 and 6

Peter rolls 2 fair dice and adds the results from each.

So, 5 + 6 = 11

in fraction = 2/11

-TheUnknownScientist

Answer: it isn’t possible to compare.

Step-by-step explanation:

Percents represent parts of something, and 24 is an actual number.

Answer:

This is how the graph would look like

Step-by-step explanation:

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.

When x = 0, y = -6

Coordinate = (0, -6)

When y = 0,   [tex]0.5x^{2} + 2x - 6 = 0[/tex]

[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]

Coordinates = (2,0), (-6,0)

Abscissa of vertex of graph = -b/2a = -2

Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8

coordinate = (-2, -8)

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Answer:

[tex]4 (\frac{1}{2} )x \\ = 2x[/tex]

hopefully can help

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{m \angle \: abc \: = 35 \degree}}}}[/tex]

Option C is the best choice.

Step-by-step explanation:

✺ First , Let's know about Corresponding angles :

✎ Now, In our case , x ° and ( 3x - 70 ) ° are corresponding angles. Set up an equation and solve for x.

[tex] \sf{x = 3x - 70\: ( \: being \: corresponding \: angles})[/tex]

[tex] \longrightarrow{ \sf{x - 3x = - 70}}[/tex] { Move 3x to left hand side and change it's sign )

[tex] \longrightarrow{ \sf{ - 2x = - 70}}[/tex] { Combine like terms }

[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 70}{ - 2} }}[/tex] { Divide both sides by -2 }

[tex] \longrightarrow{ \sf{x = 35}}[/tex]

The value of x is 35°

Now, As we are asked to find the value of m [tex] \angle[/tex] ABC , replace the value of x :

[tex] \sf{m \angle \: ABC \: = (3x - 70) \degree}[/tex]

[tex] \dashrightarrow{ \sf{(3 \times 35 - 70) \degree}}[/tex]

[tex] \dashrightarrow{ \sf{(105 - 70) \degree}} [/tex]

[tex] \longrightarrow{ \boxed{ \sf{35 \degree}}}[/tex]

Therefore , m [tex] \angle[/tex] ABC = 35°

And we're done !

Hope I helped!

Best regards! :)

~TheAnimeGirl

Answer:

p=11/10

Step-by-step explanation:

Answer:

p=-55

Step-by-step explanation:

Problem 3

I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.

=============================================

Problem 4

To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.

(3x+7)^2 - 84x = (3x-7)^2

(3x+7)(3x+7) - 84x = (3x-7)^2

(9x^2+21x+21x+49) - 84x = (3x-7)^2

9x^2+42x+49-84x = (3x-7)^2

9x^2-42x+49 = (3x-7)^2

(3x-7)^2 = (3x-7)^2

The two formulas

may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49

=============================================

Problem 5

x + 1/x = 11

a + b = 11 .... where a = x and b = 1/x

(a+b)^2 = 11^2

a^2 + 2ab + b^2 = 121

x^2 + 2*x*(1/x) + (1/x)^2 = 121

x^2 + 2 + 1/(x^2) = 121

x^2 + 1/(x^2) = 121-2

x^2 + 1/(x^2) = 119

An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.

Answer:

$0.11 per frozen fish stick

Step-by-step explanation:

If a package of 18 fish sticks cost $1.95, to find the cost per frozen fish stick you need to divide $1.95 by 18

$1.95 / 18 frozen fish stick = $0.108 or $0.11 per frozen fish stick

Answer:

[tex]3\sqrt{3} + 72[/tex]

Step-by-step explanation:

I attached an image to aid the understanding of the question.

Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

[tex]9 \times 8 = 72ft^{2}[/tex]

It remains the area of the shaded square with side S.

From the question, we have the following ratio:

[tex]\frac{9}{S} = \frac{S}{T}[\tex]

But

[tex]\frac{9}{S} = \frac{S}{3}[\tex]

Multiplying through by 3S we have

27 = S² and this gives:

[tex]S = \sqrt{27} = 3\sqrt{3}[/tex]

I did not add ± because length is always positive, so the case of negative is eliminated.

Now the areas of S is [tex]3\sqrt{3}[/tex]

Therefore, the total area of the shaded squares is

[tex]3\sqrt{3} + 72[/tex]

Answer:

17

Step-by-step explanation:

We are given that [tex]$\frac{9}{\text{S}}=\frac{\text{S}}{\text{T}}=3.$\[\frac{9}{\text{S}}=3\][/tex]gives us S=3, so[tex]\[\frac{\text{S}}{\text{T}}=3\][/tex]gives us T=1. There are 8 shaded squares with side length [tex]$\text{T}$[/tex] and there is 1 shaded square with side length [tex]$\text{S},$[/tex] so the total shaded area is [tex]$8\cdot(1\cdot1)+1\cdot(3\cdot3)=8+9=\boxed{17}.$[/tex]