Bryan's hockey team is purchasing jerseys. The company charges $250 for a onetime set-up fee and $23 for each printed jersey. Which expression represents the total cost of x number of jerseys for the team?Group of answer choices23x23 + 250x23x+250

Bryan's Hockey Team Is Purchasing Jerseys. The Company Charges $250 For A Onetime Set-up Fee And $23

Answers

Answer 1

To find the right answer, we have to remember that

[tex]\text{Total cost= Variable cost+ Fixed cost}[/tex]

The variable cost is that which changes, in our case, the variable cost is the price of each jersey. since each cost $23 and it increases as the number of jerseys increases.

Thus, the variable cost will be

[tex]23x[/tex]

The fixed cost is always constant. The fixed cost is the one-time set-up fee of 250.

Thus, we can combine the two costs to get the total cost.

The answer will be:

[tex]\text{Total cost=23x+250}[/tex]


Related Questions

How many radians are equal to 360 degrees 2 2pi 1 Pi

Answers

Answer:

2pi

Explanation:

By definition, 360 degrees are equal to 2π radians.

This follows from the fact that the circumference of a circle is 2π times the radius. Therefore, if radius = 1, then

circumference = 2π

Since the circumference is the distance around a circle, and degrees are the "angular distance " around the circle, these two quantities can be related.

So if you think of the circle in terms of the circumference, a circle measures 2π. If you think in terms of degrees, a circle measures 360 degrees.

Therefore, we say

360 degrees = 2π (radians)

event a is the event that randomly selected students from your school is make event b is the event that randomly selected students from your school owns a bicycle which of the following do we know for certain correctly represents the probability of selecting a male students or selecting a student who owns a bicycle

Answers

The or probability in the context of this problem is represented as follows:

P(A U B).

Or probability

The or probability between two events A and B is the probability that at least one of the events happen.

The symbol of the or probability is given as follows:

U

In the context of this problem, the events are given as follows:

Event A: a randomly selected student is male.Event B: a randomly selected student owns a bike.

Hence the probability of selecting a male students or selecting a student who owns a bicycle is represented as follows:

P(A or B) = P(A U B).

The other options are as follows:

P(A ∩ B): both male and own bike, representing the intersection operation of the events.P(A): male.P(B): own bike.

Missing information

The complete problem is given by the image at the end of the answer.

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[tex]4(2 \times - 1) \ \textless \ (4 \times - 3)[/tex]That is the Math problem

Answers

[tex]4(2x-1\text{ ) < 2(4x-3)}[/tex][tex]8x\text{ -4 < 8x -6}[/tex][tex]8x\text{ - 8x <-6 +4}[/tex][tex]\begin{gathered} so\text{ } \\ 8x\text{ - 8x = 0} \\ \text{therefore} \\ 0\text{ < -2} \\ \text{could it be the question is } \\ 4(2x-1)<4x\text{ - 1?} \\ \text{because the original questions makes little sense} \end{gathered}[/tex]

Which of the following systems of equations is an example of one where elimination is the best method?A) {y=27x+11 {3x−4y=−24 B) {4x+5y=20 {−4x+6y=24 C) {y=13x+15 {2x−2y=18 D) {x = 11 {y = -8

Answers

Answer:

Explanation:

When solving a system of equations, the elimination method is best used when the system is given in such a way that the coefficients of one variable can be eliminated by addition or subtraction.

Of the given system of equations, the example of where elimination is the best method is:

[tex]\begin{gathered} 4x+5y=20 \\ -4x+6y=24 \end{gathered}[/tex]

In this example, we see that the variable 'x' can be directly eliminated by adding the two equations.

The correct option is B.

1 What is the volume of a triangular pyramid with thesame base and height dimensions of the prism below?5.5 in.13 in.7 in.

Answers

volume of a triangular pyramid = 1/3 * base area (triangle) *height

triange area= 1/2 base * height

triegle area= 1/7 in * 5.5 in = 38.5 in^2

Volume = 1/3 * 38.5 in^2 * 3 in

Volume = 38.5 in^3

___________________

Answer

choice b)

Triangle CHE Is drawn below. What is the measure of y in the diagram?* I 2 meters 3 meters O 12 meters 6 meters None of the above

Answers

The given triangles are similar to each other, this means that we can get the length of the sides of the larger triangle by multiplying the corresponding lengths of the smaller one by a scale factor.

We can get the scale factor by dividing the length of one of the sides of the larger triangle by the length of the corresponding side in the smaller triangle, like this:

By taking the left sides

[tex]s=\frac{8}{4}[/tex]

Then, in order to get the length of the base of the larger triangle (6), we just have to multiply the length of the base of the smaller triangle (y) by the scale factor (2), like this:

6 = 2×y

From this equation, we can solve for y to get:

2y = 6

2y/2 = 6/2

y = 3

Then, y equals 3 meters

if AC equals x + 3 and DB equals 3x - 19 find a CFA E equals 3x + 3 + E C equals 5x - 15 find a c d equals 50x - 7 + 80 equals 4x + 9 find DB

Answers

2) If DB = 27 the we can replace that:

[tex]27=3x-19[/tex]

and we can solve for x

[tex]\begin{gathered} 3x=27-19 \\ 3x=8 \\ x=\frac{8}{3} \end{gathered}[/tex]

now we can replace x in the equation for AC:

[tex]\begin{gathered} AC=x+3 \\ AC=\frac{8}{3}+3 \\ AC=\frac{8}{3}+\frac{9}{3} \\ AC=\frac{17}{3} \end{gathered}[/tex]

3) we have that:

[tex]\begin{gathered} AE=3x+3 \\ EC=5x-15 \end{gathered}[/tex]

So the segment AC will be the sum of the segments:

[tex]\begin{gathered} AC=AE+EC \\ AC=3x+3+5x-15 \\ AC=8x-12 \end{gathered}[/tex]

and we also know that

[tex]\begin{gathered} x=\frac{8}{3} \\ \text{then} \\ AC=\frac{64}{3}-\frac{36}{3} \\ AC=\frac{28}{3} \end{gathered}[/tex]

3) we have that:

[tex]\begin{gathered} DE=6x-7 \\ AE=4x+6 \end{gathered}[/tex]

Ji min's grandmother asked him to pick up some ginger on his way home .He knows that she wants to get 2 meals(4oz/ meal)out of it and it costs $2.99 per root. how much will he spend if each root is approximately 6 oz?

Answers

Since 1 meal is equivalent to 4oz, then 2 meals are equivalent to 8oz (4*2=8).

Now, one root (6oz) cost $2.99 and we need 8oz, then Ji-min must buy 2 roots because he cant buy parts of the root, that is

[tex]2.99\cdot2=5.98[/tex]

that is, Jim will spend $5.98 approximately.

Find an equation in standard form of the parabola passing through the points. (2,-20),(-2,-4), (0, -8)

Answers

The equation of a parabola in standard form is

[tex]y\text{ }=ax^2\text{ + bx + c}[/tex]

So, we have the following equations,

For ( 2, -20) , -20 = a(2)^2 + b (2) + c,

For (-2, -4), -4 = a( -2)^2 + b (-2) + c,

For (0.-8), -8 = a (0) + b (0) + c

Then solving,

4a + 2b + c = -20 .............. equ 1

4a - 2b + c = -4 ................... equ 2

c= -8

put c= -8 in equ 1,

we have

4a + 2b -8 = -20 = 4a + 2b = -12 ------equ 3

put c= -8 in equ 2,

4a - 2b -8 = -4 = 4a - 2b = 4................... equ 4

Solving equ 3 and equ 4, a= -1 , b= -4

so a =-1, b= -4, c= -8

Then substituting the values in

[tex]y=ax^2\text{ + bx + c}[/tex]

[tex]y=-1(x^2)\text{ + -4(x) + }(-8)[/tex]

So, y= -x^2 -4x-8

Help I have use the calculator in degree mode for this problem

Answers

SOLUTION

The figure above consists of a triangle and a semi-circle.

Area of the figure = Area the of triangle + Area of the semi-circle

[tex]\begin{gathered} \text{Area of triangle = }\frac{1}{2}\times base\text{ }\times height\text{ } \\ \text{base of the triagle = 15 ft} \\ \text{height = }15\text{ ft } \\ \text{Area of triangle = }\frac{1}{2}\times15\text{ }\times15 \\ \text{Area of triangle = 112.5 ft}^2 \end{gathered}[/tex][tex]\begin{gathered} \text{Area of the semi circle = }\frac{1}{2}\times\pi r^2 \\ r,\text{ radius = }\frac{diameter}{2}\text{ = }\frac{15}{2}\text{ = 7.5} \\ \text{Area of semi-circle = }\frac{1}{2}\times3.14\times7.5^2 \\ \text{Area of semi-circle = }\frac{1}{2}\text{ }\times3.14\times56.25\text{ = 88.3125} \end{gathered}[/tex]

Area of composite figure = 112.5 + 88.3125 = 200.8125

Therefore the Area of the figure = 200.81 squared feet to the nearest hundredth

I need an quadratic equation with -3 and 6 for this assignment

Answers

If a quadratic equation has solutions

[tex]x=a,x=b[/tex]

Then

[tex]x-a=0\text{ and x-b=0}[/tex]

Furthermore, the quadratic can be written as

[tex]\begin{gathered} y=(x-a)(x-b) \\ where,y=0 \end{gathered}[/tex]

Therefore,

[tex](x-a)(x-b)=0[/tex]

Given:

[tex]a=-3,b=6[/tex]

Hence,

[tex]\begin{gathered} (x--3)(x-6)=0 \\ (x+3)(x-6)=0 \end{gathered}[/tex]

Simplify

[tex]\begin{gathered} x(x-6)+3(x-6)=0 \\ x^2-6x+3x-18=0 \\ x^2-3x-18=0 \end{gathered}[/tex]

Hence, the quadratic equation is

[tex]x^{2}-3x-18=0[/tex]

What is the coordinate point location of the y-intercept of the graph below?

Answers

The y-intercept is located at the coordinate (0, 4) as shown below. Y-intercept is the point where a line or a graph crosses the y-axis.

Determine the x-intercept for 3x + 2y = 14.A) (7,0) B) (0,7) C) (14/3,0) D) (0,14/3)

Answers

By definition, when the line intersects the x-axis, the value of "y" is:

[tex]y=0[/tex]

Knowing this, you can substitute that value of "y" into ithe equation given in the exercise:

[tex]\begin{gathered} 3x+2y=14 \\ 3x+2(0)=14 \end{gathered}[/tex]

Now you must solve for the variable "x" in order to find the x-intercept. This is:

[tex]\begin{gathered} 3x+0=14 \\ 3x=14 \\ x=\frac{14}{3} \end{gathered}[/tex]

Then, you get this point:

[tex](\frac{14}{3},0)[/tex]

The answer is: Option C.

A washer and a dryer cost $765 combined. The washer costs $85 less than the dryer. What is the cost of the dryer?

Answers

The equation is formed and solved below

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also investigates Diophantine equations with integer coefficients and solutions. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

Let the price of washer = $x

The cost of dryer = $x+85

The equation is formed as

x + x + 85 = 765

or, 2x = 765 - 85

or, x = 680/2 = 340

Price of dryer = $(340+85) = $425

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This problem is related to the linear equation and the required cost of the dryer is $425.

What is a linear equation?

If a variable's maximum power is always 1, an equation is said to be a linear equation. As a one-degree equation, it also goes by that name.

Let a washer costs be [tex]w[/tex] and a dryer costs be [tex]d[/tex].

Since the total cost of a washer and a dryer is $765, it follows:

[tex]w+d=765[/tex]                ... (1)

Further, it is given that the washer costs $85 less than the dryer, it means that:

[tex]w=d-85[/tex]                 ... (2)

Using the two linear equations (1) and (2), it follows:

[tex]d-85+d=765\\2d-85=765\\2d=765+85\\2d=850\\d=\frac{850}{2}=425[/tex]

Therefore, the cost of a dryer is $425.

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Points that lie on the same line are called: a) opposite rays b) coplanar and non-collinear c) non-collinear and non-coplanar d) collin ear and coplanar

Answers

Given:

Points that lie on the same line.

Opposite rays

How is this wrong can someone explain, and what is the correct answer

Answers

Answer:

Step-by-step explanation:

find and classify the global extrema of the following function

f(x)=(x-2)^2+5

compute the critical points of (x-2)^2+5

to find all critical points, first compute f(x)

f(x)=2(x-2)

solving 2(x-2)=0 yields x=2

x=2

f(x) exists everyhere

2(x-2) exists everyhere

the only critical point of (x-2)^2+5 is at x=2

x=2

the domain of (x-2)^2+ 5 is R

the endpints of R are x = -∞ and ∞

Evalute (x-2)^2+5 at x = -∞, 2 and ∞

the open endpoints of the domain are marked in gray

x () f(x)

-∞   ∞

2     5

∞     ∞

the largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:

the open endpoints of the domain are marked in gray

x () f(x) extrema type

-∞   ∞  global max

2     5  global min

∞     ∞  global max

remove the points x = -∞ and ∞ from the table

These cannot be  global extrema, as the value of f(x) here is never achieved

x () f(x) () extrema type

2     5     global min

f(x) = (x-2)^2+5 has one global minimum

Answer:

f(x) has a global minimum at x = 2

Answer:

Step-by-step explanation:

Translate to system Grandpa and Grandma are treating their family to the movies. Matineetickets cost $4 per child and $4 per adult. Evening tickets cost $6 per childand $8 per adult. They plan on spending no more than $80 on the matineetickets and no more than $100 on the evening tickets.

Answers

Answer:

4x + 4y ≤ 80

6x + 8y ≤ 100

Explanation:

Let's define x as the number of children and y as the number of adults.

For Matinee tickets, they spend $4 per child and $4 per adult, so if the total is no more than 80, we get:

4x + 4y ≤ 80

In the same way, they spend $6 per child and $8 per adult on the evening tickets, so

6x + 8y ≤ 100

Therefore, the system is

4x + 4y ≤ 80

6x + 8y ≤ 100

Which ordered pair is a solution tothe system of inequalities shown?

Answers

We want to know which ordered pair is a solution of the system of inequalities shown:

[tex]\begin{cases}x-4y\ge0 \\ x-y<-1\end{cases}[/tex]

For doing so, we will try to solve both inequalities for one variable, in this case, we will use y.

On the first equation:

[tex]\begin{gathered} x-4y\ge0 \\ x\ge4y \\ y\le\frac{x}{4} \end{gathered}[/tex]

On the second equation:

[tex]\begin{gathered} x-y<-1 \\ x+1-y<0 \\ x+1And joining those two results we get:[tex]x+1Now we check each of the ordered pairs, if they hold the condition above:

For (0, 2)

We have that x=0, and y=2. Thus,

[tex]\begin{gathered} x+1=1 \\ \frac{x}{4}=0 \\ \text{And as }2>0,\text{ (0, 2) is NOT a solution of the system.} \end{gathered}[/tex]

For (-3, 8)

In this case, x=-3 and y=8.

[tex]\begin{gathered} x+1=-2 \\ \frac{x}{4}=-\frac{3}{4} \\ \text{As }8>-\frac{3}{4},\text{ this means that (-3, 8) is NOT a solution of the system.} \end{gathered}[/tex]

For (2,5)

In this case, x=2 and y=5.

[tex]\begin{gathered} x+1=3 \\ \frac{x}{4}=\frac{2}{4}=\frac{1}{2} \\ \text{As }5>\frac{1}{2}\text{ this means that (2, 5) is NOT a solution of the system.} \end{gathered}[/tex]

For (-7, -4)

In this case, x=-7 and y=-4.

[tex]\begin{gathered} x+1=-6 \\ \frac{x}{4}=-\frac{7}{4} \\ \text{As }-6<-4\le-\frac{7}{4},\text{ (-7, -4) is a SOLUTION of the system.} \end{gathered}[/tex]

For (6, -1)

We have that x=6 and y=-1.

[tex]\begin{gathered} x+1=7 \\ \frac{x}{4}=\frac{6}{4}=\frac{3}{2} \\ \text{As }7>-1,\text{ (6, -1) is NOT a solution of the system. } \end{gathered}[/tex]Thus, the ordered pair which is a solution of the system is (-7, -4).

Break apart ones to add 18+5=

Answers

Answer: 23

Step-by-step explanation:

You have 1 ten and 8 ones + 5 ones. First, add the ones to get 13 ones. Then, split the ones into tens and ones to get 2 tens and 3 ones which is 23.

Determine the period

I hate acellus

Answers

Answer:

my answer i got is y=2x+9

Answer:

5

Step-by-step explanation:

They are asking for the Period. The Period goes from one peak to the next (or from any point to the next matching point). To me it looks like that value is 5 for this graph.

Find all real and imaginary solutions to the equation. Please help me tyy

Answers

Real solutions = 4/5 and 3

Imaginary solutions = 3i

Define real and imaginary solutions.

The quadratic equation x² + 1 = 0 has a solution in the imaginary unit or unit imaginary number I Although there isn't a real number associated with this attribute, addition and multiplication can be employed to expand real numbers to so-called complex numbers. A real number is the real root of an equation. A complex root is a fictitious root that is represented by complex numbers in an equation. Imaginary numbers are "real" in the sense that they exist and are used in mathematics, even though they are not real numbers because they cannot be defined on a number line. Complex numbers, often known as imaginary numbers, are used in quadratic equations and in real-world applications like electricity.

Given,

Equation

4x³ + 5x² + 36x + 45 = 0

x²(4x + 5) + 9( 4x + 5) = 0

x² + 9 + (4x +5) = 0

(x - 3 ) (x +3) + (4x+5) = 0

x = 3i

x = [tex]\frac{4}{5}[/tex] and 3

Real solutions = 4/5 and 3

Imaginary solutions = 3i

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find the average rate of change on the interval (SHOW ALL WORK)

Answers

First, evaluate the function at the ends of the interval:

[tex]\begin{gathered} g(x)=x^3-2x \\ g(-1)=(-1)^3-2(-1) \\ g(-1)=-1^{}+2 \\ g(-1)=1 \end{gathered}[/tex][tex]\begin{gathered} g(x)=x^3-2x \\ g(2)=2^3-2(2) \\ g(2)=8-4 \\ g(2)=4 \end{gathered}[/tex]

Now, the average rate of change will be

[tex]\begin{gathered} \text{Average rate of change }=\frac{g(2)-g(-1)}{2-(-1)} \\ \text{Average rate of change }=\frac{4-1}{2-(-1)} \\ \text{Average rate of change }=\frac{3}{2+1} \\ \text{Average rate of change }=\frac{3}{3} \\ \text{Average rate of change }=1 \end{gathered}[/tex]

A study shows that 28% of the population has high blood pressure. The study also shows that 86% of those who do not have high blood pressure exercise at least 90 minutes per week, while 32% of those with high blood pressure exercise at least 90 minutes per week. Which of the following relative frequency tables could the study provide?

Answers

The study can provide relative frequency table 2 (starting from the top)

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. The word per cent means per 100. It is denoted by the symbol “%”.

The total percentage of two or more ratios in a thesame entity is 100. For example, In a population, 28% has HBP (high blood pressure)

This means that number of those that do not have HBP will be 100 - 28 = 72%

86% of those who did not have HBP exercise at least 90 minute per week i.e

86% of no HBP ,exercise >or = 90 = (86/100) × 72 = 62%( nearest whole number)

Those that do exercise <90 minute per week = 72-62= 10%

32% of those with HBP exercise at least 90 minute( >or = 90 minutes) =( 32\100) × 28= 9%( nearest whole number)

Those with HBP and exercise <90= 28- 9= 19%

Therefore Table 2 starting from the top clearly shows this data.

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WHAT IS THE CHEAPEST UNIT RATE??? 10 donuts for 13.00 or 1 dozen donuts for 12.00

Answers

Step 1: Let's review the information provided to us to answer the question correctly:

• Option 1: 10 donuts for 13.00

,

• Option 2: 1 dozen donuts for 12.00​

Step 2: Let's calculate the price of a donut in each option, as follows:

• One donut Option 1 = 13/10 = 1.30, this means the price of an individual donut is $ 1.30

,

• One donut Option 2 = 12/12 = 1, this means the price of an individual donut is $ 1

Step 3: Twitch Beast 8 will decide what is the cheapest unit rate based on the calculations we did on Step 2

May you hello me and why did yall start making people pay?

Answers

Answer:

53.76

Explanation:

The volume of the triangular prism is given by

[tex]V=\frac{1}{2}\cdot h\cdot b\cdot l[/tex]

where h is the height, b is the base, and l is the length of the prism.

Now in our case h = 3.2 m, b = 4.8 m, and l = 7m; therefore, the above equation gives

[tex]V=\frac{1}{2}\cdot3.2\cdot4.8\cdot7[/tex][tex]V=53.76\: m^3[/tex]

which is our answer!

Hence, the volume of the triangular prism is 53.76 cubic meters.

please help :(Find the coordinates of the midpoint of HXH(4 1/2, -4 1/4) , X(2 3/4, -2 1/4)

Answers

To find the coordinates of the midpoint of HX, we would apply the midpoint formula which is expressed as

[tex]\text{Midpoint = }\lbrack\frac{(x1\text{ + x2)}}{2},\text{ }\frac{(y1\text{ + y2)}}{2}\rbrack[/tex]

From the information given,

[tex]\begin{gathered} x1\text{ = 4}\frac{1}{2}\text{ = 4.5, x2 = 2}\frac{3}{4}=\text{ 2.75} \\ y1\text{ = -4}\frac{1}{2}=-4.5,\text{ }y2=-2\frac{1}{4}=\text{ - 2.25} \\ \text{Midpoint = }\lbrack\frac{(4.5\text{ + 2.75)}}{2},\text{ }\frac{(-4.5\text{ - 2.25)}}{2}\rbrack \\ \text{Midpoint = (3.625, - 3.375)} \end{gathered}[/tex]

the score on the right is a scaled copy of the square on the left identify the scale factor express your answer in the simplest form

Answers

Answer

Scale factor = 3.5

Explanation

Scale factor expresses how much the copy/image of the original figure is bigger or smaller than the original figure.

If the scale factor is more than 1, then the image is an enlargement of the original figure.

But if the scale factor is less than 1, then the image is a reduction of the original figure.

Mathematically,

Scale factor = (Length of a side of the image or scaled copy)/(Corresponding length of that side on the original figure)

Length of a side of the image or scaled copy = 56

Corresponding length of that side on the original figure = 16

Scale factor = (Length of a side of the image or scaled copy)/(Corresponding length of that side on the original figure)

Scale factor = (56/16) = (7/2) = 3.5

Hope this Helps!!!

Answer

Scale factor = 3.5

Explanation

Scale factor expresses how much the copy/image of the original figure is bigger or smaller than the original figure.

If the scale factor is more than 1, then the image is an enlargement of the original figure.

But if the scale factor is less than 1, then the image is a reduction of the original figure.

Mathematically,

Scale factor = (Length of a side of the image or scaled copy)/(Corresponding length of that side on the original figure)

Length of a side of the image or scaled copy = 56

Corresponding length of that side on the original figure = 16

Scale factor = (Length of a side of the image or scaled copy)/(Corresponding length of that side on the original figure)

Scale factor = (56/16) = (7/2) = 3.5

Hope this Helps!!!

please help me I dont understand A number is less than or equal to - 7 or greater than 12.

Answers

To translate the sentence as an inequality, we have:

[tex]x\leq-7,x>12[/tex]

Since the number is less or equal ( < = ) we use this symbol to represent it as inequality, and greater than using the symbol ( > ).

Then, we can answer the question as:

x < = -7 or x > 12.

Select the table of values that contains ordered pairs that, when plotted, provide the best representation of the curve of the function

Answers

As given by the question

There are given that the equation:

[tex]y=-2(x+3)^2+4[/tex]

Now,

Put the value of x into the given equation and find the value of y from all the tables one-by-one and match their value of x and y are equal or not.

Then,

Form the option third,

Put x = -2 to find the value of y, then match the value of y with the given value of y in the table.

So,

[tex]\begin{gathered} y=-2(x+3)^2+4 \\ y=-2(-2+3)^2+4 \\ y=-2(1)^2+4 \\ y=-2+4 \\ y=2 \end{gathered}[/tex]

Now,

Put x = -1, then:

[tex]\begin{gathered} y=-2(x+3)^2+4 \\ y=-2(-1+3)^2+4 \\ y=-2(2)^2+4 \\ y=-2(4)+4 \\ y=-8+4 \\ y=-4 \end{gathered}[/tex]

Then,

Put x = 0, then:

[tex]\begin{gathered} y=-2(x+3)^2+4 \\ y=-2(0+3)^2+4 \\ y=-2(3)^2+4 \\ y=-2(9)+4 \\ y=-18+4 \\ y=-14 \end{gathered}[/tex]

Then,

Put 1 into the given equation instead of x:

So,

[tex]\begin{gathered} y=-2(x+3)^2+4 \\ y=-2(1+3)^2+4 \\ y=-2(4)^2+4 \\ y=-2(16)+4 \\ y=-32+4 \\ y=-28 \end{gathered}[/tex]

And,

Put x = 2, so:

[tex]\begin{gathered} y=-2(2+3)^2+4 \\ y=-2(5)^2+4 \\ y=-2(25)+4 \\ y=-50+4 \\ y=-46 \end{gathered}[/tex]

Now,

From option d, all values of x and y are matched also but curve representation is matched in option D.

Hence, the correct option is D.

what digit is in the

Answers

Let:

Mp = Marked price = $310

r = Rate of discount = 20% = 0.2

D = Discount

Sp = Sale price

The discount will be given by:

[tex]\begin{gathered} D=r\cdot Mp \\ D=0.2\cdot310 \\ D=62 \end{gathered}[/tex]

And the sale price will be:

[tex]\begin{gathered} Sp=Mp-D \\ Sp=310-62 \\ Sp=248 \end{gathered}[/tex]

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