The graph of a quadratic function touches, but does not cross, the x-axis at x = 4. Which function represents this
situation?
Oy=x²-16
Oy=x²-4x
Oy=x²-8x+16
O y=x² + 8x + 16

The percent makeup on each bag of popcorn is 25%.

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. The percentages 100%, 50%, 0% indicate all of some quantity, half of the quantity, and none of the quantity respectively.

Popcorn is being sold by a neighborhood nonprofit to support hurricane relief.

The organization paid $4 for each bag of popcorn.

The organization sold each bag of popcorn for $5.

The markup or gain from selling the popcorn is:

$5 - $4 = $1

Therefore, the percent makeup on each bag of popcorn will be:

= ( the gain / the amount organization paid for each bag ) × 100

= ( 1 / 4) × 100

= 0.25 × 100

= 25 %

Hence, the percent makeup on every bag of popcorn is 25%.

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Answer:

Because:

30.5^2+73.2^2=79.3^2

=> Right triangle

=> Cos0 = 73.2/79.3 => A

Step-by-step explanation:

Answer:

Range: [tex]\:f\left(x\right)\ge \:-\frac{68}{11}[/tex]

Interval notation [tex][-\frac{68}{11},\:\infty \:)[/tex]

Step-by-step explanation:

I got a little confused with the x - 1/2x^2 term and I am taking to to be:

[tex]x\:-\frac{1}{2}x^2[/tex]  . If this is incorrect please mention the correct term in your comment and I will edit this post. Or you can re-post the question

We have
[tex]f\left(x\right)=6x^2+x\:-\frac{1}{2}x^2+\:x\:-\:6[/tex]

Simplify by grouping like terms:
[tex]=-\frac{1}{2}x^2+6x^2+x+x-6[/tex]

[tex]= \frac{1}{2}x^2+6x^2+2x-6[/tex]

Add similar elements
[tex]-\frac{1}{2}x^2+6x^2[/tex][tex]= -\frac{1x^2}{2}+\frac{12x^2}{2} = \frac{11x^2}{2}[/tex]

So the original function expression becomes
[tex]y=\frac{11}{2}x^2+2x-6[/tex]

This is the equation of a parabola which in standard form is [tex]ax^2 + bx + c[/tex]

Here
[tex]a=\dfrac{11}{2},\:b=2,\:c=-6[/tex]

We can compute the vertex of this parabola using the fact that the x, y coordinates of the vertex are given by
[tex]x_v =-\dfrac{b}{2a}[/tex]

Plugging in values for b and a give us
[tex]x_v =-\dfrac{b}{2a} = -\dfrac{2}{2\left(\dfrac{11}{2}\right)} =-\dfrac{2}{11}[/tex]

Plugging in this value of [tex]x_v[/tex] into the parabola equation will give the value for [tex]y_v[/tex] which is the function value at the vertex

Plug in [tex]x_v = -\frac{2}{11}[/tex] t find the [tex]y_v[/tex] value:
[tex]y_v=\dfrac{11\left(-\dfrac{2}{11}\right)^2}{2}+2\left(-\dfrac{2}{11}\right)-6[/tex]

Simplify
[tex]\dfrac{11\left(-\dfrac{2}{11}\right)^2}{2} =\dfrac{2}{11}[/tex]

[tex]2\left(-\dfrac{2}{11}\right) = -\dfrac{4}{11}[/tex]

Combining the terms we get
[tex]y_v =[/tex] [tex]\dfrac{2}{11}-\dfrac{4}{11}-6[/tex] [tex]= -\dfrac{68}{11}[/tex]

[tex]\textsf{Therefore the parabola vertex is at }[/tex] [tex]\left(-\dfrac{2}{11},\:-\dfrac{68}{11}\right)[/tex]
For a parabola of the form [tex]ax^2 + bx + c[/tex] with vertex [tex]\left(x_v,\:y_v\right)[/tex]

[tex]\circ \;\mathrm{If}\:a < 0\:\mathrm{the\:range\:is}\:f\left(x\right)\le \:y_v[/tex]
[tex]\circ \;\mathrm{If}\:a > 0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v[/tex]

Here [tex]a=\frac{11}{2}[/tex] so the range is [tex]f\left(x\right)\ge \:-\dfrac{68}{11}[/tex]

Answer range of f(x) is
[tex]f\left(x\right)\ge \:-\dfrac{68}{11}[/tex]

In interval notation it is [tex][-\frac{68}{11},\:\infty \:)[/tex]

It is much easier if you visualize it in a graph

Hope that helps

Answer:

Function 1 is neither odd nor even

Function 2 is odd

Step-by-step explanation:

Here, you must first understand the expression of odd and even functions:

Even: f(x) = f(-x)

Odd: f(-x) = -f(x)

Question 1:

[tex]{ \tt{f(x) = x + 3}} \\ { \rm{when \: x = - x}} \\ { \tt{f( - x) = - x + 3}} \\ { \tt{f( - x) \: is \: neither \: even \: nor \: odd }}[/tex]

Question 2:

[tex]{ \tt{f(x) = - { \green{{3x}^{3} + 6x }}}} \\ { \rm{when \: x = - x}} \\ { \tt{f( - x) = - 3 {( - x)}^{3} + 6( - x) }} \\ { \tt{f( - x) = 3 {x}^{3} - 6x}} \\ { \tt{f( - x) = - \{ { \green{- 3 {x}^{3} + 6x }}}} \} \\ { \tt{f( - x) = - f(x)}}[/tex]

Answer:

$450

Step-by-step explanation:

let the price of the bench = x

Then, the price of the table is x + 87.

x + x + 87 = 987

2x + 87 = 987

2x = 900

x = 450

Answer: $450

Step-by-step explanation:

bayot ka dong no plbading bading sya bayot

Answer: $-10

Step-by-step explanation:

The starting value is $50 and you use $35 of it meaning you only have $15 left.

You then deposite $15 meaning you now have $30 in your bank account.

After that, you spend $40 meaning you have $-10 in your bank account.

The reason are as follows:

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given:

3x+6=2x+3

3x+6-2x=2x+3-2x (subtraction of equality i.e., 2x)

x+6=3 (Subtraction)

x+6-6=3-6 (subtraction of equality i.e., 6)

x=(-3) (Subtraction)

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Answer:

508 miles per hour

Step-by-step explanation:

First, set up an equation:

miles per hour = # of miles ÷ # of hours

2,794 miles ÷ 5.5 hours = 508 miles/hour

Hope this helps! I'd appreciate brainliest but it's fine if not!

Based on the flat cost paid by Carson for his cell phone plan, and the amount of he wants to keep his bill under, the inequality that can be used to determine g is 37.50 + 40g ≤ 40

The inequality that can be used to find the maximum number of gigabytes that Carson can use while staying in his budget can be found as:

Flat cost for the cell phone plan + Cost per gigabyte x Number of gigabytes  ≤ Maximum preferred bill by Carson

When we put in the figures from Carson's cell phone plan, we get:

37.50 + 3 x g  ≤ 40

37.50 + 3g  ≤  40

In conclusion, the inequality that represents g is 37.50 + 3g  ≤  40.

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Answer:

Step-by-step explanation:

5x-28=-3

You want to isolate x.

First, add 28 to both sides to isolate 5x, what you do to one side you do to the other, so:

5x= 25

Seperate 5x by dividing it, so 25/5.

x = 5 is your answer.

18.84 in² is surface area of cylinder .

What does surface area mean?

sa = 2πr² + 2πrh

     = 2 × 3.14 × 1 × 1 + 2 × 3.14 × 1 × 2

      = 6.28 + 12.56

      = 18.84

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Answer:

Answer on attached figure

Step-by-step explanation:

A concert promoter needs to make $42,000 from the sale of 1800 tickets.

Show advancement is a consuming position, which requires performing business obligations — ordinarily out of an office — by day and going to shows around evening time and toward the end of the week. A show advertiser is answerable for coordinating and publicizing live shows and unique exhibitions. Show Advertisers produce and arrange shows by booking ability, getting settings, employing occasion staff, and promoting their occasions. The most well-known question that surfaces while considering turning into a show advertiser is, how much do they truly make. While taking a gander at certain insights, it shows that the compensation range is $28,000-$187,000 each year.

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The area of polygon A would be a fraction 1/25 of the size of polygon B.

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions on the actual figure or object

The formula of the scale factor is shown as;

Area of Polygon B = (scale factor)²×(Area of Polygon A).

Using a scale factor of 5, we get

(Area of Polygon B)  = (5)²× (Area of Polygon A)

(Area of Polygon B) = (25) × (Area of Polygon A)

Area of Polygon A = (1/25) × Area of Polygon B

Therefore, the area of polygon A would be a fraction 1/25 of the size of polygon B.

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Answer:

10

Step-by-step explanation:

[tex]\frac{63}{c}[/tex] + d ( substitute c = 7 , d = 1 into the expression )

= [tex]\frac{63}{7}[/tex] + 1 ← evaluate division before adding

= 9 + 1

= 10

The additional information would you need to know in order to determine if the toll should be increased or decreased is The price elasticity of demand

The additional information required is

Therefore,The additional information would you need to know in order to determine if the toll should be increased or decreased is The price elasticity of demand

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The amount  that Athena will be charged for interest is $22.19

What is the meaning of APR of 16.99%?

The APR means an annual percentage rate, which means that the 16.99% is annual interest rate compounded monthly, hence, it needs to be divided by 12 in order to determine the equivalent monthly interest rate.

monthly interest rate=16.99%/12

monthly interest rate=0.0141583333333333

The monthly interest charged on the balance of $1,567.32 is computed thus:

monthly interest charged=$1,567.32*0.0141583333333333

monthly interest charged=$22.19

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Answer:

4(16x+15)

Step-by-step explanation: They both have the common factor of 4

Answer: 6 cups of lemonade for Aaliyah

Step-by-step explanation:

If Donald used 1 1/2 cups of lemonade-

And Aaliyah uses 4 times that amount-

Aaliyah does 4 times that amount you will do 1 1/2 *4 which is 1*4=4 and 1/2*4=2 so Aaliyah uses 6 cups of lemonade.

1 1/2 * 4 = 6

Answer:

y = x + 2

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 )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (2, 4 )

m = [tex]\frac{4-3}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then

y = x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 3 )

3 = 1 + c ⇒ c = 3 - 1 = 2

y = x + 2 ← equation of line

0.4  is the multiplive rate change for the Expenstial function .

What exactly makes a function exponential?

We have to find the multiplicative rate of change for:

f ( x ) = 2 * ( 5/2 ) ^(-x)

F (X ) = [tex]f(x) = 2 * ( \frac{5}{2} )^{-x}[/tex]

2/5 = 0.4

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Answer:

Evan spent 3 hours making paper crates today.

Step-by-step explanation:

He made 28 in 4 hours. 28 divided by 4 equals 7. Which means he makes 7 paper crates in 1 hour. Today he made 21. So 21 divided by 7 equals 3.

The equation that we would use to find the value of x based on the area of a rectangle is:

C. (16 + 2x)(12 + 2x) = 396

To find the area of a rectangle, find the product of its length and its width. Thus, the area of a rectangle is: (length)(width) = area.

Given the following:

Area of both the walkway and the garden = 396 square meters

Length = x + 16 + x = 16 + 2x

Width = x + 12 + x = 12 + 2x

Using the area formula for a rectangle, we would have:

(16 + 2x)(12 + 2x) = 396.

Therefore, the equation that we would use to find the value of x based on the area of a rectangle is:

C. (16 + 2x)(12 + 2x) = 396

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The value of box/ square is 5, value of circle is 3 and the value of star is 6.

Let box/ square be denoted by x

let the circles be denoted by y

let the stars be denoted by z

now, let us make three linear equation based on the diagram provided

1. x + x = 10

2. y + z= 9

3. y+ x = 8

solving equation 1

x + x = 10

2x = 10

x = 5

Putting the value of x in equation 3

y + x=8

y + 5 = 8

y = 3

Putting the value of y in equation 2

y + z = 9

3 + z= 9

z = 6

Hence , The value of box/ square is 5, value of circle is 3 and the value of star is 6.

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C.

A linear equation is an equation with the maximum degree of one. This means that in a linear equation, no variable has an exponent greater than 1. A linear equation's graph is always a straight line.

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Answer:

bat pa kasi pinapangita ang ex

The equation of the line traveling through (-6, 0) and (0, -3) is mathematically given as

y = -(1/2)x - 3

The equation of the line traveling through (0, 3) and (-4, -5) is mathematically given as

y = 2x + 3

An expression known as an equation is one that illustrates the connection between two or more sets of numbers and variables.

The equation of the line traveling through (-6, 0) and (0, -3) is:

y - 0 = [(-3 - 0) / (0- (-6)](x - (-6))

y = -(1/2)x - 3

The equation of the line going through (0, 3) and (-4, -5) is:

y - 3 = [(-5 - 3) / (-4 - 0)](x - 0)

y = 2x + 3

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If the city park has a circular pond with a diameter of 4 yards. The pond's circumference is: 12.56 yrd.

Using this formula to determine or to calculate  the pond's circumference

C = π × d

where:

C = Circumference

d = diameter = 4 yards

π = 3.14

Let plug in the formula

C = 3.14×4

C= 12.56 yards

Based on the above calculation the circumference of the pond will be 12.56 yards.

Therefore If the city park has a circular pond with a diameter of 4 yards. The pond's circumference is: 12.56 yrd.

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