PLEASE HELP! the plot and table show the number of people, p, who have bought tickets to a concert ,t, minutes after they went on sale. complete the equation to show the relationship between p and t ​

Answer:

Part 1) Option A. The axis of symmetry is x=4

Part 2) Option C. minimum

Part 3) Option A. (4,-4)

Part 4) Option B. (2,0) and (6,0)

Step-by-step explanation:

we have

[tex]f(x)=x^{2}-8x+12[/tex]

Part 1) What is the axis of symmetry of the parabola described by the equation above?

we know that

The equation above is a vertical parabola open upward

The axis of symmetry is the x-coordinate of the vertex

Find the vertex of the parabola (convert the equation in vertex form)

[tex]f(x)-12=x^{2}-8x[/tex]

[tex]f(x)-12+16=x^{2}-8x+16[/tex]

[tex]f(x)+4=x^{2}-8x+16[/tex]

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

[tex]f(x)=(x-4)^{2}-4[/tex] ----> equation in vertex form

The vertex of the parabola is (4,-4)

so

The axis of symmetry is x=4

Part 2) The vertex of the equation above is also

we know that

The equation above is a vertical parabola open upward

therefore

The vertex is a minimum

Part 3) What is the vertex of the parabola described by the equation above

we know that

The equation of the parabola into vertex form is equal to

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

therefore

The vertex of the parabola is (4,-4)

Part 4) What are the  x-intercepts of the parabola described by the equation above

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

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

f)x)=0

so

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

take square root both sides

[tex](x-4)=(+/-)2[/tex]

[tex]x=4(+/-)2[/tex]

[tex]x=4(+)2=6[/tex]

[tex]x=4(-)2=2[/tex]

therefore

The x-intercepts are

(2,0) and (6,0)

Answer:

286.48°

Step-by-step explanation:

Given in the question that we have to convert 5 rad to degree.

we know that,

π = 180°

1rad = 180°/π

5rad = 180°(5)/π

         = 286.4788°

         ≈ 286.48° (nearest to hundredth)

So 5 rad is 286.48°

[tex]5 \times \frac{180}{\pi} = 286.479[/tex]

if we round it: ans= 286.48

Answer:

The probability is 2/5.

Step-by-step explanation:

4/5 is the probability of not getting a 5

1/2 is the probability of flipping heads

4/5x1/2 = 4/10 = 2/5

Answer:

The slope of the line is -7/8

When the point (7, –4) is used, the point-slope form of the line is

y+4=(-7/8)(x-7)

The slope-intercept form of the line is y=(-7/8)x+(17/8)

Step-by-step explanation:

Answer:

y+4=(-7/8)(x-7)

Step-by-step explanation:

Answer:

25°

Step-by-step explanation:

The angle shown in a right angle, which is 90°. Let's start with 3x-10. We want to get rid of the 10 so we add 10 as positive and negative cancel each other out. So when we add 10 to 90 we have 100. Now we have x+3x=100. Simplify that to 4x=100. Divide both sides by 4 to isolate the x and the answer is 25. To double check,

• 25×3=75

•75-10=65

•65+25=90

The whole angle is equal to 90 degrees therefore you can make an equation using the two angle values and set it equal to 90 like so...

x + 3x - 10 = 90

Combine like terms ( x and 3x)

(x + 3x) - 10 = 90

4x - 10 = 90

Bring the 10 to the other side by adding it to both sides

4x + (-10 + 10) = 90 + 10

4x + 0 = 100

4x = 100

To further isolate x divide 4 to both sides

4x/4 = 100/4

x = 25

Hope this helped!

~Just a girl in love with Shawn Mendes

The composite number among options A. 23, B. 11, C. 25, D. 19 is C. 25. Composite numbers have more than two factors, and 25 has factors 1, 5, and 25.

The question is asking to identify which of the given options is a composite number. A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In simpler terms, composite numbers have more than two factors.

Now let's evaluate the given numbers:

Therefore, 25 is the composite number among the given options.

https://brainly.com/question/28199758

#SPJ12

The composite number among the options is C. 25.

A composite number is a positive integer greater than 1 that has more than two distinct positive divisors. In other words, it is not a prime number. Examples include 4 (divisible by 1, 2, and 4) and 9 (divisible by 1, 3, and 9).

Thus, a composite number is a positive integer that has more than two divisors. To determine whether a number is composite or not, we check if it is divisible by any number other than 1 and itself.  Among the given options, 25 is a composite number because it can be divided evenly by 5 and 1, in addition to 25 and itself.

https://brainly.com/question/28199758

#SPJ12

Answer:

3. 2000 pounds to 600 pounds and 5. 250 cents to 75 cents

Step-by-step explanation:

The ratio is 10:3 so just multiply the first number by ten and the and the second by 3 to see if it matches

ex. 10 x 200= 2000    3 x 200= 600

10 x 25=250   3 x 25= 75

I hope this makes sense, this is kinda hard to physically explain.

The ratio 2000 pounds to 600 pounds and 250 cents to 75 cents are equivalent to 10:3.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b.

To find the ratio equivalent to the ratio 10:3.

Solve with the help of options,

1.

28 days to 6 days

Write in ratio form,

28 : 6 = 14 : 3

2.

120 meters to 8000 meters

Write in ratio form,

120 : 8000 = 3 : 200

3.

2000 pounds to 600 pounds

Write in ratio form,

2000 : 600 = 10 : 3

4.

300 seconds to 20 seconds

Write in ratio form,

300 : 20 = 15 : 1

5.

250 cents to 75 cents

Write in ratio form,

10 : 3

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ5

Answer:

Step-by-step explanation:

[tex]\text{Let}\ s\ -\ \text{side length of a square. Therefore the diameter d = 2r has }\\\text{length d=s}\to 2r=s\to r=\dfrac{s}{2}.\\r-\text{radius}\\\\\text{The formula of an area of a square:}\\\\A_{\square}=(side\ length)^2\\\\\text{Therefore:}\ A_{\square}=s^2.\\\\\text{The formula of an area of a circle:}\\\\A_O=\pi r^2\\\\\text{Substitute}\ r=\dfrac{s}{2}:\\\\A_O=\pi\left(\dfrac{s}{2}\right)^2=\dfrac{s^2\pi}{4}[/tex]

[tex]\text{Calculate what fraction of the area of the square is the area of ​​the circle}\\\\\dfrac{A_O}{A_{\square}}=\dfrac{\frac{s^2\pi}{4}}{s^2}=\dfrac{s^2\pi}{4}\cdot\dfrac{1}{s^2}\qquad\text{cancel}\ s^2\\\\\dfrac{A_O}{A_{\squera}}=\dfrac{\pi}{4}\\\\\text{Convert to the percent:}\\\\\dfrac{\pi}{4}\cdot100\%=25\pi\%\\\\\pi\approx3.14\to25\pi\%\approx(25)(3.14)\%=78,5\%[/tex]

output B= -1-7*(6)

so -7*6=-42

-1-42= -43

The value of the linear equation B = - 1 - 7a at a = 6 will be negative 43.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The equation is given below.

B = - 1 - 7a

The value of the equation at a = 6. Then we have

B = - 1 - 7 × 6

B = - 1 - 42

B = - 43

The value of the linear equation B = - 1 - 7a at a = 6 will be negative 43.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Answer:

D $1050

Got that on Apex

Final answer:

Mariana can spend a maximum of $1,050.00 per month on credit cards and loans to avoid credit overload, which is 20% of her annual take-home pay divided by 12 months.

Explanation:

Mariana's annual take-home pay is $63,000. To avoid credit overload, financial advisors often recommend that no more than 20% of your annual take-home pay should go towards servicing debt. To determine the monthly amount Mariana can safely allocate to pay off credit cards and loans, we first calculate 20% of her annual take-home pay, and then divide that number by 12 to get the monthly amount.

First, calculate the annual amount: 20% of $63,000 = 0.20 \(*\) $63,000 = $12,600.

Next, calculate the monthly amount: $12,600 / 12 months = $1,050.00 per month.

Therefore, the maximum amount Mariana can spend per month on debt repayment to avoid credit overload is $1,050.00.

Try searching it up on the internet maybe?? I tried doing some research but all I found was 2 I don’t know if the answer maybe be “2” but that’s what came up‍♀️

Final answer:

8/4 of a dollar is equivalent to 2 dollars, as 1/4 of a dollar is 0.25 dollars and multiplying this by 8 yields 2.

Explanation:

The question, what is 8/4 of a dollar?, falls under the category of elementary Mathematics, specifically fractions and monetary equivalence. To find the value of 8/4 of a dollar, you first need to understand that 4 quarters make up a dollar, which means that each quarter is worth 0.25 dollars or 25 cents. Therefore, to compute 8/4 of a dollar, you simply multiply 8 by the value of 1/4 of a dollar (0.25 dollars).

Here is the step-by-step calculation:

Understand that 1 quarter is 0.25 dollars.

Multiply 8 by 0.25 (1 quarter): 8 x 0.25 = 2.

So, 8/4 of a dollar is the same as 2 dollars

Answer: 24x3y3

Step-by-step explanation:

Answer:

Option 1 - [tex](8x^2y^2)(3xy)=24x^3y^3[/tex]    

Step-by-step explanation:

Given : A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule

[tex](8x^2y^2)(3xy)[/tex] where y represents the number of white tiles.

To find : Which simplified expression represents the number of colored tiles used for a path of length x feet?

Solution :

The number of colored tiles needed to make is [tex](8x^2y^2)(3xy)[/tex]

Where, y represents the number of white tiles.

x represents the length of path in feet.

Simplifying the expression,

[tex](8x^2y^2)(3xy)[/tex]

[tex]=8\times 3\times x^2\times x\times y^2\times y[/tex]

We know, [tex]a^m\times a^n=a^{m+n}[/tex]

[tex]=24x^3y^3[/tex]

Therefore, Option 1 is correct.

I think it would be x = 3 and y = 2 based on another question I read like this.

Answer:

20

Step-by-step explanation:

Write as an equation (in order to represent the question better):

9x - 4 = 176

Add 4 to both sides (to remove the '-4' on the left-hand side):

9x = 180

Divide both sides by 9 (to find x):

x = 20

Answer:

Word Form: two and nine thousandths

Expanded Form:  

2  

+   0.0

+   0.00

+   0.009

Step-by-step explanation:

it's D because when you distribute the -x the 5x multiplies to -5x^2 then -4 multiplies to 4x since the negatives cancel out.

Answer:

<2 =66

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles.

58 + <2 = <4

58 + <2 = 124

Subtract 58 from each side

58-58 + <2 = 124-58

<2 =66

Answer:

Domain: {-12, 0, 24, 60}

Step-by-step explanation:

Function:

f(x) = [tex]\frac{x}{12}[/tex]

Range: { -1, 0, 2, 5}

For range = -1,

Domain: -1 = [tex]\frac{x}{12}[/tex] ⇒ x = -12

For range = 0,

Domain: 0 = [tex]\frac{x}{12}[/tex] ⇒ x = 0

For range = 2,

Domain: 2 = [tex]\frac{x}{12}[/tex] ⇒ x = 24

For range = 5,

Domain: 5 = [tex]\frac{x}{12}[/tex] ⇒ x = 60

Domain: {-12, 0, 24, 60}

The answer is:

x=-8

Because:

If you pick a number(-8) to fill in the equation written below

5x+20+5x=5x-20

After applying the -8 to x you get

-40+20-40=-40-20

When you simply the both sides you get

-60=-60

And that’s right -60 is equal to -60!

Answer:

Third option : x = -8

Step-by-step explanation:

Given

5x+20+5x=5x-20

in order to solve the equation, Subtracting 5x on both sides

5x+20+5x-5x=5x-20-5x

5x+20= -20

20 will be subtracted from both sides

5x+20-20= -20-20

5x= -40

Dividing by 5 on both sides

5x/5=  (-40)/5

x= -8

So, the value of x is -8 ..

The polynomial would be p(x) = x⁴ - 12x³ + 55x² -116x + 102

How to write the polynomial with these roots?

We know that the roots must be:

2± √2i and 4 ± i

Then we can write the polynomial as:

p(x) = (x - 2- √2i)*(x - 2+√2i)*(x - 4+i)*(x - 4 - i)

Notice that when x equals any of the roots, the polynomial becomes zero, now just expand the products, we will get:

p(x) = (x - 2- √2i)*(x - 2+√2i)*(x - 4+i)*(x - 4 - i)

p(x) = ((x-2)² + 2 )*( (x - 4)² + 1)

p(x) = (x² - 4x + 4 + 2)*(x² - 8x + 16 + 1)

p(x) = (x² - 4x + 6)*(x² - 8x + 17)

p(x) = x⁴ - 12x³ + 55x² -116x + 102

Answer:

Your total investment increase by $105.00 by second year.

Step-by-step explanation:

You bought 200 shares at the price = $15.25 per share

Total cost of 200 shares = 200 × 15.25 = $3050

First year your investment gains profit = 10%

10% of 3050 = [tex]\frac{10}{100}[/tex] × 3050

= 0.10 × 3050 = $305

Total value of 200 shares on first year = 3050 + 305 = $3,355

Then loses $1.00 per share the second year = 200 × 1.00 = $200

on second year the value of 200 shares would be = 3,355 - 200 = $3,155

So profit by second year = 3,155 - 3050 = $105

Your total investment increase by $105.00 by second year.

Answer:

C) Rolling an even number is female and an odd number is male.

Step-by-step explanation:

because it would be an even chance for each sex (Male and female)

Hope this helps

Make sure to mark Brainliest!☺

Answer:

C

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

Yes. because it ends.

Step-by-step explanation:

Rational numbers are numbers that end, or have a repating patern. Examples;

2.252525252525.......

2.369

5

8

8.69

8.541254125412

Hope this helped!

Hello There!

Yes indeed it is. 24 is a rational number because it can be expressed as the quotient of two integers: 24÷ 1

Answer:

She buy 6 pounds of coffee

Step-by-step explanation:

8.22 × 6 = 49.32

90 - 49.32 = 40.68

Answer:

The volume of the figure is [tex]320\ units^{3}[/tex]

Step-by-step explanation:

we know that

The figure is a pyramid

The volume of a pyramid is equal to

[tex]V=(1/3)BH[/tex]

where

B is the area of the rectangular base of pyramid

H is the height of pyramid

Find the area of the base B

The area of the base B is equal to

[tex]B=AB*AC[/tex]

we have that

[tex]AB=8\ units[/tex] ---> see the graph

[tex]AC=10\ units[/tex] ---> see the graph

substitute

[tex]B=8*10=80\ units^{2}[/tex]

we have

[tex]H=EF=12\ units[/tex] ---> see the graph

Find the volume

[tex]V=(1/3)(80*12)=320\ units^{3}[/tex]

Answer:

16

Step-by-step explanation:

18-(7-5)

18-2=16

Answer:

16

Step-by-step explanation:

12 ÷ 2 × 3 - (7 - 5)

= 12 ÷ 2 × 3 - (2)

= 6 × 3 - 2

= 18 - 2

= 16

Answer:

[tex]\sqrt{\frac{x}{4}}[/tex]  and  [tex]-\sqrt{\frac{x}{4}}[/tex]

Step-by-step explanation:

The function is given as  [tex]f(x)=4x^2[/tex]

to find inverse, we follow the steps shown below:

1. write "y" in place of "f(x)"

2. interchange "x" and "y"

3. solve for the new "y"

4. replace y with f^-1(x)

Let's do this:

[tex]f(x)=4x^2\\y=4x^2\\x=4y^2\\y^2=\frac{x}{4}\\y=+-\sqrt{\frac{x}{4}}[/tex]

These 2 are the inverse functions.

For this case we must find the inverse of the following function:

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

We follow the steps below:

Replace f (x) with y:

[tex]y = 4x ^ 2[/tex]

We exchange variables;

[tex]x = 4y ^ 2[/tex]

We solve for y:

[tex]4y ^ 2 = x[/tex]

We divide between 4 on both sides of the equation:

[tex]y^ 2 = \frac {x} {4}[/tex]

We apply square root to both sides to eliminate the exponent:

[tex]y = \pm \sqrt {\frac {x} {4}}[/tex]

We substitute y for [tex]f ^ {- 1} (x)[/tex]:

 [tex]f ^ {- 1} (x) =\pm \sqrt {\frac {x} {4}}[/tex]

Answer:

[tex]f^{-1}(x)=\pm\frac{\sqrt{x}}{2}[/tex]

Answer:

[tex]\$16.64[/tex]

Step-by-step explanation:

we know that

The exponential function while the player is still active is equal to

[tex]y=3(1.07)^{x}[/tex]

where

y ----> is the value of the baseball card

x ----> the time in years

Find the value of y for x=7 years (7 years still active)

[tex]y=3(1.07)^{7}=\$4.82[/tex]

After 20 years

x=20-7=13 years (13 years retired player)

The initial value is [tex]\$4.82[/tex]

The new equation is equal to

[tex]y=\$4.82(1.1)^{x}[/tex]

substitute

x=13 years

[tex]y=\$4.82(1.1)^{13}=\$16.64[/tex]

Answer:

37.5 [tex]units^2[/tex]

Step-by-step explanation:

As the area of each of the side of the cube are the same we can multiply the area of one side by 6.

The area of one side is

[tex]2.5*2.5=6.25\\\\6.25*6=37.5[/tex]

Answer:

37.5

Step-by-step explanation:

Surface area of a rectangular prism (a cube is a rectangular prism) is 2B + Ph

B is area of the base so do width x length. In cube all side lengths are the same, so do 2.5 x 2.5.

B= 6.25

P is perimeter of base so do 2.5 + 2.5 + 2.5 + 2.5 = 10

P=10

h is the height of the prism, but all sides are the same anyway so it's 2.5

h=2.5

2(6.25) + 10(2.5)

12.5 + 25

37.5