The graphs below have the same shape. What is the equation of the red graph?

The Graphs Below Have The Same Shape. What Is The Equation Of The Red Graph?

Answers

Answer 1
Hello!

The answer is:

b. [tex]g(x)=x^{2} +3[/tex]

Why?

To find what's the equation of the red graph, first, we need to find a function that intercepts the y-axis at 3 and its vertex is located at (0,3)

We must remember that the constant value in a quadratic equation (c) will tell us where the function intercepts the y-axis, so, we are looking for an equation which has a constant value equal to 3, it discards the options a, c and d, so the correct option would be the option b.

Option b function:

[tex]g(x)=x^{2} +3[/tex]

Where,

[tex]a=1\\b=0\\c=3[/tex]

Let's check if the option b is the correct option:

First, let's find the axis intercepts:

Y-axis intercept

[tex]f(x)=x^{2}+3\\f(0)=0^{2}+3\\y=3[/tex]

X-axis intercept

[tex]0=x^{2}+3\\x=\sqrt{-3}[/tex]

There is no x-axis intercepts since the square roots of negative numbers does not exists in the real numbers.

Finding the vertex coordinates:

The x coordinate of the vertex can be found using the following equation:

[tex]x=-\frac{b}{2a}=-\frac{0}{2*1}=0[/tex]

The x coordinate of the vertex is located at x=0, so to find the y-coordinate we must substitute the x value into the parabola equation, so

[tex]y=x^{2}+3=0^{2}+3=3[/tex]

So, the y coordinate of the vertex is located at y=3

Therefore, the vertex of the function is (0,3)

Hence, the calculated values of the option b match with the given graph.

The correct option is: b. [tex]g(x)=x^{2} +3[/tex]

Have a nice day!


Related Questions

Find the seventh term of

Answers

Answer:

9

Step-by-step explanation:

Convert the repeating decimal to an improper fraction or mixed number.

Answers

Step-by-step explanation:

Create an equation such that x equals the decimal number.

Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.

Subtract the second equation from the first equation.

Solve for x.

Reduce the fraction.

Will mark brainliest! Show work! What Number is 35% of 50?❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Answer:

17 1/2 or 17.5

Step-by-step explanation:

35/100×50

35/2=17 1/2 or 17.5

The rectangle shown has an area of 27 cm2 and is modeled by the equation A = 2w2 + 3w, where w is the width. What is the length of the rectangle?

Answers

Answer:

The length of the rectangle is [tex]9\ cm[/tex]

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

In this problem we have

[tex]A=27\ cm^{2}[/tex]

so

[tex]27=LW[/tex] ------> equation A

and

[tex]A=2w^{2}+3w[/tex]

so

[tex]27=2w^{2}+3w[/tex]

[tex]2w^{2}+3w-27=0[/tex]

The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]2w^{2}+3w-27=0[/tex]

so

[tex]a=2\\b=3\\c=-27[/tex]

substitute in the formula

[tex]w=\frac{-3(+/-)\sqrt{3^{2}-4(2)(-27)}} {2(2)}[/tex]

[tex]w=\frac{-3(+/-)\sqrt{225}} {4}[/tex]

[tex]w=\frac{-3(+/-)15} {4}[/tex]

[tex]w=\frac{-3(+)15} {4}=3[/tex]

[tex]w=\frac{-3(-)15} {4}=-4.5[/tex]

The solution of the quadratic equation is

[tex]w= 3\ cm[/tex]

Find the value of L

[tex]27=L(3)[/tex]

[tex]L=27/3=9\ cm[/tex]

What type of number is 2i-7?

Answers

Answer:

It is a complex number.

Composed by imaginarium number and real =)

Best regards

Hey there! :)

The number 2i-7 is an imaginary number.

i represents an imaginary value, so therefore, it is imaginary and is considered a speculative number.

Often it represents a value that mathematical rules wouldn't allow, it wouldn't be able to be calculated.

I hope this helps!

~kaikers

6*1=6 what property is this? The options are as follows
Identity property of multiplication
Associative property of multiplication
Identity prop. Of addition
Multiplicative inverse prop.
Additive inverse prop.
Commutative prop of addition
Commutative prop of multiplication
Transitive property
Properties

Answers

commutative prop of multiplication

Final answer:

The equation 6*1=6 is an illustration of the Identity Property of Multiplication which states that any number multiplied by 1 yields the original number.

Explanation:

The question is asking about the mathematical property illustrated by the equation 6*1=6. In this case, the answer is the Identity Property of Multiplication. The Identity Property of Multiplication states that any number multiplied by 1 will result in the original number. In other words, 1 is the identity for multiplication because multiplying any number by 1 does not change the number's value. Hence, 6*1 still yields 6, validating this property.

Learn more about Identity Property of Multiplication here:

https://brainly.com/question/514731

#SPJ12

HURRY I will give you brainiest!

Which of these is a simplified form of the equation 7y + 7 = 9 + 2y + 2y?
a.3y = 2
b.7y = 6
c.11y = 16
d.4y = 16

Answers

Answer:

The Answer is A. 3y=2

Step-by-step explanation:

1) combine like terms

7y + 7 = 9 + 2y + 2y

7y +7 = 9 + 4y

Subtract 4y on both sides

3y +7 = 9

Subtract 7 on both sides

3y = 2 because 9 - 7 = 2

That my work and Answer

Hope this helps!

Answer:

The Answer is A.

I did the work.

can you help please?

Answers

Answer:

x=3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(2x−17)+4=−3(3+x)

4x+−34+4=−9+−3x  {distribute}

4x+−30=−3x−9   {combine like terms}

Step 2: Add 3x to both sides.

4x−30+3x=−3x−9+3x

7x−30=−9

Step 3: Add 30 to both sides.

7x−30+30=−9+30

7x=21

Step 4: Divide both sides by 7.

7x/7=21/7

x=3

4x - 3x = -9 + 30 2 (2x - 17) + 4 = -3 (3 + x)

So, we are going to DISTRIBUTE

Lets work on the left side of the equation first

Multiply 2 on the out side of the parenthesis by what is on the inside

2 x  2x = 4x

2 x  -17 = -34

So on the left side we now have

4x - 34 + 4

add 4

4x - 30

Let's do the same thing on the other side

-3  x  3 = -9

-3 x  X = 3x

Now let's put everything together

4x - 30 = -9 + 3x

COMBINE LIKE TERMS

x = 21

comment if you have any questions! Hope I helped :)

Choose the equation below that represents the line passing through the point -3,-1 with the slope of four

Answers

Answer:

y+1 = 4(x+3)

Step-by-step explanation:

To write the equation of a line use the point slope form by substituting m = 4 and the point (-3,-1).

[tex]y - y_1 =m(x-x_1)\\y --1 = 4(x--3)\\y+1 = 4(x+3)[/tex]

solve using the addition method. what is the x-value of the solution to the system? 2x-3y=-1 3x+4y=24

Answers

Answer:

x-value is 4

Step-by-step explanation:

2x-3y=-1

3x+4y=24

We can solve the equation by eliminating y

We multiply the first equation by 4 and the second by 3

4(2x-3y=-1 )

3(3x+4y=24)

8x -12y = -4

9x +12y = 72

Then we add the two equations;

8x -12y = -4

9x +12y = 72

17x = 68

  x = 4

Thus the x-value is 4

Which will equation show correctly we write an expression that represents the cost for a pair of shoes that is marked down 20% of the regular price when the sales tax is 5% of the markdown price?

Answers

Answer:

A

Step-by-step explanation:

You can write an expression to represent the total cost of a pair of shoes. The price of the shoes is the variable r. The shoes are marked down 20% or 0.2r. So the new price of the shoes will be r - 0.2r. You will also have to pay a tax of 5% or 0.05 of the new price. This is written as 1.05(r - 0.2r). You can simplify it by doing whats in the parenthesis.

1.05(r - 0.2r) = 1.05r(0.8r) = 0.84r

If the minute hand of a clock moves 45 degrees, how many minutes of time have passed?​

Answers

Answer:

45 minutes have passed

Step-by-step explanation:

1 degree = 1 minute

which of the following sets are continuous? Check all that apply

A.[0,100)

B.(-∞,+∞)

C.{3,8,9,11,14}

D.{-19,11}

E.(50,71)

I need help plz hurry

Answers

answer B. ( -infinity, +infinity)

Answer:

The correct answer option is B.

Step-by-step explanation:

We are to determine whether which of the given data sets in the answer options are continuous.

For this, we need to know what a continuous data set is.

A data set which have no definite end to its value but keep on continuing.

Here, the data sets given in A, C, D and E have definite starting and ending points.

While B is a continuous set as its values are continuing to infinity.

HELP!!in slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?

Answers

Answer:

y = -x - 1

Step-by-step explanation:

A department store is having a 25% off sale on all winter coats. If you have a coupon for an additional 20% off of any item, how much will a $150.00 winter coat cost?

Answers

Answer:

$90.00

Step-by-step explanation:

Sale discount

$150.00 × .25 = $37.50

Sale price

$150.00 − $37.50 = $112.50

Coupon discount

$112.50 × .20 = $22.50

Total

$112.50 − $22.50 = $90.00

Answer:

You lose

Step-by-step explanation:

Good day sir

A person sitting in the top row of the bleachers at a sporting event drops a pair of sunglasses from height of 24 feet. the function h= -16X squared + 24 represents the height h ( in feet) of the sunglasses after x seconds. how long does it takes the sunglasses to hit the ground.) please someone help me I will mark Brainliest​

Answers

Answer: square root of 3/2 seconds

Step-by-step explanation:

h=-16x²+24

Set the height to be 0

0=-16x²+24

-24=-16x²

24=16x²

24/16=x²

x²=3/2

x= square root of 3/2

you have to set the equation equal to 0 to represent when it hits the ground

0=-16x²+24

-24=-16x²

-24/16=x² --> -3/2=x²

x=-1.22474

Can someone help me solve this please

Answers

Answer:

I wanna say that the answer is D p(x) = 8x + 20

Step-by-step explanation:

describe the nature of the roots for this equation.
3x^2 - 2x + 1 = 0

A. two real, rational roots
B. two real, irrational roots
C. one real, double root
D. two complex roots

Answers

Answer:

Option D. two complex roots

Step-by-step explanation:

we know that

In a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] the discriminant D is equal to

[tex]D=(b^{2}-4ac)[/tex]

in this problem we have

[tex]3x^{2} -2x+1=0[/tex]  

so

[tex]a=3\\b=-2\\c=1[/tex]

substitute the values

[tex]D=(-2^{2}-4(3)(1))[/tex]

[tex]D=(4-12)[/tex]

[tex]D=-8[/tex]

The discriminant is negative

therefore

The quadratic equation has two complex roots

Final answer:

The equation 3x² - 2x + 1 = 0 has a negative discriminant of -8, indicating that it does not have real roots but instead has two complex roots.Therefore, the correct answer is D. two complex roots.

Explanation:

To determine the nature of the roots for the equation 3x²- 2x + 1 = 0, we need to calculate the discriminant, which is given by b² - 4ac. Here, a = 3, b = -2, and c = 1. Substituting these values into the discriminant formula gives us (-2)² - 4(3)(1) = 4 - 12 = -8. Since the discriminant is negative, the equation does not have real roots. Instead, it has two complex roots.

Therefore, the correct answer is D. two complex roots.

Polygon q is a scaled copy of polygon p using a scale factor of 1/2 polygon q’s area is what fraction of polygon p’s area?

Answers

Answer:

Polygon q’s area is one fourth of polygon p’s area

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> polygon q’s area

y-----> polygon p’s area

so

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

In this problem we have

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

substitute

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

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

[tex]x=\frac{1}{4}y[/tex]

therefore

Polygon q’s area is one fourth of polygon p’s area

Answer:

1/4 the area

Step-by-step explanation:

Hope this helps!

PLEASE HELP 98 POINTS AND BRAINLIEST

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 4x. The side length of the metal frame is 16x. What is the area of the metal​ frame?

The area of the frame is ___ square units.

Answers

Answer:

256 square units

Step-by-step explanation:

area = side²

14²=256

[tex]Area \: of \: the \: mirror:A_{m}= {r}^{2} \pi = {(4x)}^{2} \pi = 16 {x}^{2} \pi \\ Area \: of \: the \: frame: A_{f} = {a}^{2} = {(16x)}^{2} = 256 {x}^{2} \\ Area \: between \: frame \: and \: mirror:A = A_{f} - A_{m} = 256 {x}^{2} - 16 {x}^{2} \pi = 16 {x}^{2} (16 - \pi)[/tex]

The linear function y = 7x + 2 represents the cost y, in dollars, of buying x tickets, including a one time service fee. What does the slope represent?
A. the service fee
B. the cost per ticket
C. the number of tickets bought D. the number of tickets bought for $1

Answers

I would have to say b cuz 2 is the y intercept x is gernraly the slope

Answer: It's B.

Step-by-step explanation: I just did the quiz

#LarryStylinson  #SolbyGolbach

^^

Which two types of income does a person in a full-time sales job usually receive?

commission
hourly pay
overtime pay
salary
tips

Answers

Answer:

The two types of income are - salary and commission.

Step-by-step explanation:

The two types of income that someone in a full-time sales job usually receives is a salary and commission.

The salary is the base pay that one receives regardless of the sales target they have.

The commission is that extra money that is also called incentive. This is based on the number of items you sell.

The commission can be overall increase in the pay or per item sales based.

Therefore, these two things generate the total income paid to a sales person.

Answer:

a

Step-by-step explanation:

Carlos is 6 feet tall.

How many inches tall is Carlos?

(1 foot = 12 inches)

WORTH 20 POINTS!!!

Answers

Answer; Carlos would be 72 inches tall

Step-by-step explanation:

because 1 foot = 12 inches . and he is 6 feet tall so 12 x 6 = 72 !

Hey there!

All we need to do is multiply 6 by 12

6 * 12 = 72

Therefore, Carlos is 72 inches tall

Hope this helps you!

God bless ❤️

xXxGolferGirlxXx

Write an equation for the circle with a center of (5, -2) and a radius of 3.

Answers

Answer:

(x - 5)² + (y + 2)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (5, - 2) and r = 3, thus

(x - 5)² + (y - (- 2))² = 3², that is

(x - 5)² + (y + 2)² = 9 ← equation of circle

What is the value of X in the diagram

Answers

Answer:

3.5

Step-by-step explanation:

we can do proportions

12/16 = 10.5/4x

cross multiply

x = 3.5

30 grams of 2% is what

Answers

30 of 2% is what

30 • 2% = ______

30 • 2/100 = ______

60/100 = ______

6/10 = 3/5

30 grams of 2% is 3/5

//Hope this helps.

[tex]\text{Hey there!}[/tex]

[tex]\text{30 grams of 2\% is what?}[/tex]

[tex]\text{The word \underline{OF} means MULTIPLY in mathematical terms}[/tex]

[tex]\text{So, now that we got that portion out of the way, let's solve for your answer, shall we?}[/tex]

[tex]\text{30 grams}\times\text{2\%}[/tex]

[tex]\text{30}\times\text{2\%}[/tex]

[tex]\frac{2\%}{100}=0.02[/tex]

[tex]\text{30}\times\text{0.02}[/tex]

[tex]{\text{Thus, the answer should be: \bf{0.6}}\bf{ \ or\ \frac{3}{5}}[/tex]

[tex]\text{Good luck on your  assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

How many live in the central region?

Answers

Answer:

10,648

Step-by-step explanation:

The total number of residents is 24,200.

The probability that a resident is from the central region is 0.44.

To find the number of residents in the central region, we multiply the corresponding probability by the total number of residents.

The number of people who live in the central region is

[tex]=0.44\times 24,200[/tex]

[tex]=10,648[/tex]

Adrell has four suit jackets (white, blue, green, and tan) and four dress shirts in the same colors. How many different jackets/shirt outfits does Adrell have?
A. How many jacket/shirt outfits does Adrell have?
B. Suppose he grabs a suit jacket and a dress shirt without looking. What is the probability that they will not be the same color?

Answers

Answer:

A=4, B=3/4

Step-by-step explanation:

it says that she has four suit jackets, and since there are 16 possibilities(4 x 4)

and 4 of them have the same colors, we do 16-4/16, which is 12/16, and we simplify that to 3/4

Final answer:

Adrell has 16 different jacket/shirt outfits and there is a 75% probability that the jacket and shirt will not be the same color.

Explanation:

Adrell has four suit jackets (white, blue, green, and tan) and four dress shirts in the same colors. To find the number of different jacket/shirt outfits, we multiply the number of options for the jacket by the number of options for the shirt. Since there are 4 options for the jacket and 4 options for the shirt, there are a total of 16 different jacket/shirt outfits.

If Adrell grabs a suit jacket and a dress shirt without looking, the probability that they will not be the same color can be found by calculating the number of favorable outcomes (jacket and shirt of different colors) divided by the total number of possible outcomes. Since there are 4 jackets and 4 shirts, the total number of possible outcomes is 4 * 4 = 16. The number of favorable outcomes is when the jacket and shirt are of different colors, which is 4 * 3 = 12. Therefore, the probability that the jacket and shirt will not be the same color is 12/16 = 3/4 or 75%.

Of 200 Boston residents surveyed all but 18 were born in Massachusetts what percent of 200 is 18

Answers

9% since a percent is out of 100, 9 of 100, x2 is 18 of 200

Answer:9%

Step-by-step explanation:

The Question is posted above ⤴​

Answers

Answer:

Step-by-step explanation:

I think 1. 5/10

2. 3/10

3. 9/10

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