Alice is selling lemonade and fresh squeezed orange juice at a booth. she sells cups of lemonade for $1 each and cups of orange juice for $3 each. write an expression that represents the amount of money that Alice selling drinks​

Answer:

x = 18.

Step-by-step explanation:

x + 9.5 = 27.5

Subtract 9.5 from both sides:

x = 27.5 - 9.5

x = 18 (answer).

wassup the answer is 18 have fun get that A+

Answer:

The degree is 2.

Step-by-step explanation:

We are given f(x)=-3x^2 and g(x)=-4x+1.

(f o g)(x)

f(g(x))

f(-4x+1)

This means the old x in f will be replaced with -4x+1 like so:

-3(-4x+1)^2

-3(-4x+1)(-4x+1)

Use foil!

-3(16x^2-4x-4x+1)

-3(16x^2-8x+1)

-48x^2+24x-3

The degree is 2. The degree is the highest exponent on the variable if you only have one variable and your polynomial is written in standard form.

Answer:

b =45

Step-by-step explanation:

A full circle is 360 degrees

b+315 = 360

Subtract 315 from each side

b+315-315 = 360-315

b =45

Answer:

A

Step-by-step explanation:

From the diagram:

The general rule of this reflection is

(x,y)→(-x,y)

and this is reflection across the y-axis. The y-axis has the equation x=0.

To measure angles within a parallelogram, use a protractor. Align the protractor with the vertex of the angle and read the number where the other side crosses. Repeat for each angle.

To measure the angles within a parallelogram, you can use a protractor. A protractor is a tool that helps measure angles. Here’s how you can use it:

For example, if you want to measure one of the angles in a parallelogram and the protractor shows that the two sides of the angle cross at the 60° mark on the protractor, that means the angle has a measure of 60 degrees.

Answer:

-7/4

Step-by-step explanation:

Line A is the blue one.

I see two points they have identified for me:

(-7,0) and (0,4).

To find the slope of the line A given two points we could use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

We could also line up the points vertically and subtract, then put 2nd difference over 1st difference.

Like this:

(-7,0)

-(0,4)

-------

-7   -4

So the slope is -4/-7=4/7

So the slope of a line that is perpendicular will have opposite reciprocal slope. That is the opposite reciprocal of 4/7 is -7/4.

Therefore the slope of a line that is perpendicular to A will have slope -7/4.

Answer:

[tex] - \frac{7}{4} [/tex]

Step-by-step explanation:

We use the slope formula to fine the slope of line A.

[tex] m = \frac{y_2-y_1}{x_2-x_1} [/tex]

Line A passes through (-7,0) and (0,4)

[tex]m = \frac{4 - 0}{0 - - 7} [/tex]

[tex]m = \frac{4}{7} [/tex]

The slope of a line that is perpendicular to line A is the negative reciprocal of the slope of line A

[tex] - \frac{7}{4} [/tex]

Answer:

A

Step-by-step explanation:

Alright so in the graph we can see the highest y that is reach is at x=3 which is y=6.  The maximum of the graph g(x) is 6.

Now we have to be a bit more algebraic and messy when comes to finding a maximum (the vertex of the parabola) of f(x)=-2x^2+4x+3.

First step, I'm going to find the x-coordinate of the vertex.  Once we do that we can find the y that corresponds to it by using y=-2x^2+4x+3.

So the x-coordinate of the vertex can be found by computing -b/(2a).

a=-2 and b=4 so we are going to plug that in giving us -4/(2*-2)=-4/-4=1.

So the x-coordinate of the vertex is 1 and we are going to find the y that corresponds to that using y=-2x^2+4x+3.

So let's plug in 1.

This gives us:

y=-2(1)^2+4(1)+3

y=-2(1)+4+3

y=-2+4+3

y=2+3

y=5

So the maximum of graph f is 5.

6 is higher than 5

So g has the higher maximum

So the answer is A.

Answer:

A.) g(x)

Step-by-step explanation:

:p

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex], hence

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation of the line

To find c substitute (2, 1 ) into the partial equation

1 = - [tex]\frac{2}{3}[/tex] + c ⇒ c = [tex]\frac{5}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← equation of line

Answer:

[tex]\huge \boxed{123}[/tex]

Step-by-step explanation:

This question is about the order of operations. The order of operations stands for parenthesis, exponent, multiply, divide, add, and subtract.

Do parenthesis.

[tex]\displaystyle (35+25)=60[/tex]

[tex]\displaystyle 60*2+3[/tex]

Multiply from left to right.

[tex]\displaystyle 60*2=120[/tex]

Add numbers from left to right.

[tex]\displaystyle 120+3=123[/tex]

123 is the correct answer.

Answer:

a

Step-by-step explanation:

bc its the only one that makes sence to me heheh

Answer: Option D

Step-by-step explanation:

A relationship is a function if and only if for each input value x (domain) only one output value y is assigned (Range)

Option A.

Note that x represents the input values and y represents the output values.

When [tex]x = 3[/tex] then [tex]y = 14[/tex] and [tex]y = 19[/tex].

The input value [tex]x = 3[/tex] has two output values  y assigned.

So the relationship is not a function

Option B.

Note that x represents the input values and y represents the output values.

When [tex]x = 3[/tex] then [tex]y = 0[/tex] and [tex]y = -5[/tex].

The input value [tex]x = 3[/tex] has two output values y assigned.

So the relationship is not a function

Option C

Note that x represents the input values and y represents the output values.

When [tex]x = -1[/tex] then [tex]y = -11[/tex] and [tex]y = 5[/tex].

[tex](-1,-11)[/tex] , [tex](-1, 5)[/tex]

The input value [tex]x = -1[/tex] has two output values y assigned.

So the relationship is not a function

Option D

Note that x represents the input values and y represents the output values  and for each input value x (domain) only one output value y is assigned (Range)

[tex]\{(-5, 3), (-3, 1), (-1, -1), (1, -1), (3, 1), (5, 3)\}[/tex]

So the relationship is a function

Answer: .012

Step-by-step explanation:

We know that when two events A and B are independent of each other , then the probability of their intersection is given by :-

[tex]P(A\cap B)=P(A)\ \cdot\ P(B)[/tex]

Given : The probability that a shopper buys shoes is 0.12

The probability that a shopper buys a book is 0.10

Since, both the events are independent , then the probability that a shopper buys shoes and a book is given by :-

[tex]0.12\times0.10=0.012[/tex]

Hence, the probability that a shopper buys shoes and a book is .012 .

Answer:

0.012 is the answer

Answer:

3(5n -6)

Step-by-step explanation:

15n -18

Both 15 and 18 can be divided by 3

Factor out a 3

3(5n -6)

Anwser

3(5n -6)

Step-by-step explanation:

15n -18

Both 15 and 18 can be divided by 3

Factor out a 3

3(5n -6)

Answer:

The answer is 31.83....

Step-by-step explanation:

If you divide 191 by 6 we get:

=31.8333333333

Rounding to the nearest hundredth:

Underline the hundredths place: 31.8333333333

Look to the right. If it is 5 or above 5 then we give it a shove.

If it is 4 or less than 4, we let it go.

In our case it is 3.

Round to 31.83

Therefore the answer is 31.83....

Answer:

[tex]\large\boxed{(f+g)(x)=2x^2+\dfrac{1}{2}x+4\dfrac{1}{3}}[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\\text{We have}\\\\f(x)=\dfrac{1}{3}-\dfrac{1}{2}x,\ g(x)=2x^2+x+4.\\\\\text{Substitute:}\\\\(f+g)(x)=\left(\dfrac{1}{3}-\dfrac{1}{2}x\right)+(2x^2+x+4)\\\\=\dfrac{1}{3}-\dfrac{1}{2}x+2x^2+x+4\qquad\text{combine like terms}\\\\=2x^2+\left(-\dfrac{1}{2}x+x\right)+\left(\dfrac{1}{3}+4\right)\\\\=2x^2+\dfrac{1}{2}x+4\dfrac{1}{3}[/tex]

Answer: C.

Step-by-step explanation:

The value of inverse function f⁻¹(3)  is 13, option (D) is correct.

Function is a combination of different types of variable and constants.

A function is generally denoted by f(x).

The given function is,

f(x) = (2x+1)/(x-4)

To find the value of f⁻¹(3),

Let  f⁻¹(3) = y

⇒3 = f(y)

⇒3 = (2y+1)/y-4

⇒3(y-4) = 2y+1

⇒3y-12 = 2y+1

⇒ y = 13

⇒ f⁻¹(3) = 13

Therefore, the value of  f⁻¹(3)  is 13.

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Answer:

True.

Step-by-step explanation:

These are sets containing the same exact elements so they are the same set of elements.

They both contain 4 elements.

The 4 elements in each are c, f , j , and k.

It matters not of the arrangement.  It also doesn't matter if they repeat an element.  

For example these sets are also the same:

{a,a,b} and {a,b}.

They both contain 2 elements and those elements are a and b.

People don't normally write something like {a,a,b} because it is redundant (because of the repetition of a).  

Here is an example of some sets that are equal:

{1,2,3}={1,3,2}={2,1,3}={2,3,1}={3,1,2}={3,2,1}.

These are all the same because they all contain the elements: 1 , 2 , and 3. It doesn't matter the order in a set.

Answer:

x = 7

Step-by-step explanation:

-10 + 5 + 3x = 16

-5 + 3x = 16

3x = 21

x = 7

Answer:

b. 5x^2 + 9x - 1

Step-by-step explanation:

A quadratic expression had the highest power of the variable at 2

x^2

b. 5x^2 + 9x - 1

a  has the highest power as x

c and d goes higher than x^2

The expression that represents a quadratic expression is 5x^2 + 9x - 1 (option b), which is in the form ax^2 + bx + c, where a, b, and c are constants.

The expression that represents a quadratic expression is option (b), which is 5x^2 + 9x - 1. A quadratic expression is generally in the form ax^2 + bx + c, where a, b, and c are constants, and a is not equal to zero. This type of equation represents a parabola when graphed on a coordinate plane. The examples provided in the question show how various terms relate to the constants a, b, and c in the quadratic equation, and the use of the quadratic formula for solving such equations. Option (a) is linear, option (c) is cubic, and option (d) is quartic, as indicated by the highest powers of x.

The values of x that make the expression (x - 6)(x + 2) equal to zero are -2 and 6. This is based on the Zero Product Property in Mathematics, which states that if the product of two factors is zero, then at least one of the factors must equal zero.

In Mathematics, the Zero Product Property states that if the product of two factors is zero, then at least one of the factors must be zero. Applying this property in the expression (x - 6)(x + 2) = 0, one can conclude that either (x - 6) = 0 or (x + 2) = 0.

The expression (x−6)(x+2) equals 0 when either (x−6)=0 or (x+2)=0. Solving each equation separately:

For (x−6)=0, add 6 to both sides to get x=6.

For (x+2)=0, subtract 2 from both sides to get x=−2.

So, the values of x that make (x−6)(x+2)=0 are x=−2 and x=6.

Solving both equations, we get two possible solutions, x = 6 or x = -2. So, the values of x that would result in the expression being equal to zero are -2 and 6, listed in order from least to greatest.

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Answer:

=19.81 in²

Step-by-step explanation:

We use the sine formula to find the area of the triangle in question.

In this formula we find the product of two adjoined sides with the sine of the angle between them.

The sides b and c are bound by the angle A.

Therefore area=1/2bcSin A

A=1/2×13.2 in×5.3 in× Sin 34.5

=19.81 in²

Answer:19.812

Step-by-step explanation:

 Given

angle A=34.5

b=13.2 in.

c=5.3 in.

Area of triangle when two sides and angle between them is given

[tex]A=\frac{1}{2}bcsina[/tex]

[tex]A=\frac{1}{2}\left ( 13.2\right )\left ( 5.3\right )sin\left ( 34.5\right )[/tex]

[tex]A=19.812 in.^2[/tex]

Answer:

[tex]f(x)=-x^{2} +8x-16[/tex]

Step-by-step explanation:

we know that

A polynomial function that has a leading coefficient of -1 and root 4 with multiplicity 2 is equal to

[tex]f(x)=-(x-4)^{2}[/tex]

Expand the function

[tex]f(x)=-(x^{2}-8x+16)\\ \\f(x)=-x^{2} +8x-16[/tex]

Answer: B

Step-by-step explanation:

Answer:

r=7

Step-by-step explanation:

We have the equation

(x+5)^2 + (y+8)^2 =

We know that this is equal to the radius squares

(2+5)^2 + (-8+8)^2 = r^2

We know a point  on the circle (2,-8)

Substitute this point into the equation

(2+5)^2 + (-8+8)^2 = r^2

(7)^2 + (0)^2 = r^2

7^2 = r^2

The radius is equal to 7

Answer:

Explicit formula is 2(5)^(n-1).

Step-by-step explanation:

This is a Geometric Sequence  with common ratio 10/2 = 50/10 = 250/50 = 5.

The  nth term  an = a1 r^(n - 1)

= 2(5)^(n-1).

Formula for sequence tells about getting its specific term by putting its index. The formula for considered sequence is [tex]\{2(5)^{i-1}\}_{i=1}^\infty[/tex]

There are three parameters which differentiate between which geometric sequence we're talking about.

The first parameter is the initial value of the sequence.

The second parameter is the quantity by which we multiply previous term to get the next term.

The third parameter is the length of the sequence. It can be finite or infinite.

Suppose the initial term of a geometric sequence is  [tex]a[/tex]  and the term by which we multiply the previous term to get the next term is  [tex]d[/tex]

Then the sequence would look like

[tex]a, ad, ad^2, ad^3, ad^4,...[/tex] (till the terms to which it is defined)

Thus, the nth term of such sequence would be

[tex]T_n = ad^{n-1}[/tex]

For the given sequence, it can be seen that each previous term is multiplied by 5 to get the next term to that term.

Like, we got

[tex]10 = 2 \times 5\\50 = 10 \times 5[/tex] and so on.

This shows that there is single constant used which is multiplied to previous terms to get the next term. This is the property of a geometric sequence. Here, we got

[tex]a = 2\\d = 5[/tex]

Thus, sequence is

[tex]a, ad, ad^2, ad^3, ...\\\\or\\\\2, 2\times 5, 2 \times 5^2, 2 \times 5^3 ...\\\\or\\2, 10, 50, 250, 1250,...[/tex]

Its nth term is given as: [tex]T_n = ad^{n-1} = 2(5)^{n-1}[/tex]

A sequence with n terms, and its nth term formula being [tex]a_n[/tex] is written as [tex]\{a_i\}_{i=1}^n[/tex] (showing that put i = 1, 2, ... n) to get its terms.

Here, sequence is not limited, so infinite terms.

or, we get the formula for the sequence as: [tex]\{a_i\}_{i=1}^n = \{2(5)^{i-1}\}_{i=1}^\infty[/tex]

Thus,  The formula for considered sequence is [tex]\{2(5)^{i-1}\}_{i=1}^\infty[/tex]

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To determine the probability that Harold buys an ice-cream on Wednesday, we consider the probabilities for each day. Given that he bought an ice-cream on Monday, there is a 40% chance that he will buy an ice-cream on Wednesday.

To determine the probability that Harold buys an ice-cream on Wednesday, we need to consider the probabilities for each day.

Given that he bought an ice-cream on Monday, there is a 30% chance that he will buy a drink on Tuesday and a 40% chance that he will buy an ice-cream on Tuesday.

Using the probabilities, we can calculate the probability that Harold buys an ice-cream on each day:

Monday: 1 (since he bought an ice-cream)

Tuesday: 0.4 (40% chance of buying an ice-cream based on previous ice-cream purchase)

Wednesday: 0.4 (40% chance of buying an ice-cream based on previous ice-cream purchase)

Answer:

33

Step-by-step explanation:

Using Angela's method, we first multiply, then round.

V = (7.2)(3.5)(8.7)

V = 219.24

V ≈ 219

Using Brian's method, we first round, then multiply.

V = (7.2)(3.5)(8.7)

V ≈ (7)(4)(9)

V ≈ 252

The positive difference between their answers is:

252 − 219 = 33

The positive difference between Angela's and Brian's rounded volumes is 33.

The volume of a cuboid is equal to the product of length, width and height of a cuboid.

According to Angela's method,

V = (7.2)(3.5)(8.7)

V = 219.24

First found the volume, then round.

V ≈ 219

According to Brian's method,

V = (7.2)(3.5)(8.7)

First round, then found the volume,

V ≈ (7)(4)(9)

V ≈ 252

The positive difference between their answers  = 252 − 219 = 33

Hence, the positive difference between Angela's and Brian's rounded volumes is 33

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given the slope of a line m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer: 32°

Step-by-step explanation:

m∠BAC = m∠CDE, therefore m∠CDE = 32°

Answer:

Option B, 58°

Step-by-step explanation:

In the given figure AB ║ CD and BC ║ DE ( given )

Since BC ║ DE and BC ⊥ AC

So DE will also be perpendicular to CE

m ∠ BAC = 32° [given]

Since AB ║ CD and line AE is transverse

Then ∠BAC ≅  ∠DCE ≅ 32°

Now in ΔDEC.

∠DCE + ∠CED + ∠EDC = 180°

32° + 90° + ∠EDC = 180°

122° + ∠EDC = 180°

∠EDC = 180 -122

          = 58°

Option B, 58° is the answer.

With $5 and pencils priced at 25 cents each, the student can buy 20 pencils. This is obtained by dividing $5 by $0.25 (the cost of one pencil).

Let's break down the calculation step-by-step:

Identify the given information.

The student has $5 to spend.

Each pencil costs 25 cents, which is equivalent to $0.25.

Set up the formula for the number of pencils.

Number of pencils = Total money / Cost per pencil

Substitute the given values into the formula.

Number of pencils = $5 / $0.25

Simplify the expression.

Dividing $5 by $0.25 is the same as multiplying $5 by the reciprocal of $0.25, which is 4.

Number of pencils = 5 * 4

Calculate the result.

Number of pencils = 20

So, the student can buy 20 pencils with $5.

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Answer:

Icosahedron

Step-by-step explanation:

Icosahedron has 20 faces and all the faces are equilateral triangle. Also the faces are congruent and the Icosahedron is one of the five Platonic solids.

Icosahedron has twenty faces that are equilateral triangles.

Icosahedron is one of the 5 Platonic solid which has 20 faces, 12 vertices, 30 edges.

All the faces of Icosahedron is an equilateral triangle at each vertex. also all the faces are congruent and are of the same size.

From the picture given below, it is also clear that

Icosahedron has twenty faces that are equilateral triangles.

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