consider the parabola given by the equation:
f(x)=2x^2+12-9
find the following for this parabola:
a) the vertex
b) the vertical intercept is the point
c) find the coordinates of the two x-intercept of the parabola and write them as a list, separated by commas

Answers

Answer 1

Answer:

First simply it as 2x²+3

(a) vertex (0,3)

(b)f(0)=3

(c) no x-intercept


Related Questions

A theme park had 1099 visitors in 3 days. There were twice as many visitors on saturday than on Friday. There were 234 more visitors on Sunday than on Saturday. How many visitors were there on Saturday?

Answers

Answer:

346

Step-by-step explanation:

Visitors on Friday(x)+Visitors on Saturday(2x)+Visitors on Suday(2x+234)

x+2x+2x+234=1099

5x+234=1099

5x=1099-234

5x=865

x=865/5

x=173

So, visitors on Saturday = 2x = 346

A=CD-B how to solve for B

Answers

Answer:

Step-by-step explanation:

B=CD-A

Determine if an exponential would be an appropriate model for the data shown in each scatter plot. Select
one that applies.

Answers

Answer:

Yes, No, No

Step-by-step explanation:

The function of an exponential graph is attached below. The first graph fits the look of an exponential graph. The rest do not.

Answer:

Yes, No, No

Step-by-step explanation:

1st graph represents exponential2nd graph represents quadratic3rd graph represents linear

A clothing store is having a 15% off sale on t-shirts. If you will save $3.75 on a shirt, what was the original price before the sale? Show your work.

Answers

Answer:

$25

Step-by-step explanation:

3.75 is 15% of 25.

15% × 25 = 3.75


A rectangular basketball court measures with a length of 82yds and
Width of 38 yards What is the perimeter and area?

Answers

Answer:

area:3116  perimeter:240

Step-by-step explanation:

the formula of area is always length x width=82x38                                                                             =3116the formula for the perimeter is always length+length+width+width=82+82+38+38                                                =240

Hii!

__________________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer:}\circ\leftharpoonup}}[/tex]

Pelet'rimeter =

Area = 3116 cm^2

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation:}\circ\leftharpoonup}}[/tex]

[tex]\bullet[/tex] Let's work out the perimeter

[tex]\twoheadrightarrow\sf P=2(a+b)[/tex]. a=length & b=width

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf P=2(82+38)[/tex]

[tex]\bullet[/tex] Perform the addition operation

[tex]\twoheadrightarrow\sf P=2\cdot120[/tex]

[tex]\bullet[/tex] Multiply and obtain the perimeter

[tex]\twoheadrightarrow\sf P=240cm[/tex]

[tex]\bullet[/tex] Now let's find the area

[tex]\twoheadrightarrow\sf A=lw[/tex] l=length w=width

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf A=82\cdot38[/tex]

[tex]\bullet[/tex] Multiply and obtain the area

[tex]\twoheadrightarrow\sf A=3116cm^2[/tex]

--

Hope that this helped! Best wishes.

[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]

--

A 3-column table with 3 rows. Column 1 is labeled Unit Fraction with entries StartFraction 1 Over 10 EndFraction, one-fourth, c. Column 2 is labeled Fraction with 100 in the denominator with entries StartFraction 10 Over 100 EndFraction, b, StartFraction 50 Over 100 EndFraction. Column 3 is labeled Percent with entries a, 25 percent, 50 percent.
Complete the table by finding the missing equivalent form for each row.

a =
b =
c =

Answers

The missing equivalent forms are: a = 10%,  b = 25/100 and c = 1/2

Complete question

Unit Fraction   Fraction with 100 in denominator      Percent

1/10                              10/100                                             a

1/4                                  b                                                  25%

c                                  50/100                                           50%

Complete the table by finding the missing equivalent form for each row.

How to determine the missing equivalent forms?

From the above table, we have the following equations

a = 10/100

b = 25%

c = 50/100

The variable a must be in percentage.

So, we have:

a = 10/100

Express as percentage

a = 10%

The variable b must be a fraction with 100 in denominator

So, we have:

b = 25%

Express as fraction

b = 25/100

The variable b must be a unit fraction

So, we have:

c = 50/100

Divide the fraction by 50/50

c = 1/2

Hence, the missing equivalent forms are:

a = 10%,  b = 25/100 and c = 1/2

Read more about fraction and percentage at:

https://brainly.com/question/7244254

#SPJ1

Write a slope-intercept equation for a line that passes through (-2,1) and (3,-14).

Answers

The equation of the line that passes through (1, 5) and (-2, 14) in slope intercept form is y = -3x + 8.

To estimate the height of a totem pole, Jorge uses a small square of plastic. He holds the square up to his eyes and walks backward from the pole. He stops when the bottom of the pole lines up with the bottom edge of the square and the top of the pole lines up with the top edge of the square. Jorge's eye level is about 2 m from the ground. He is about 3 m from the pole. Which of the following is the best estimate of the height of the totem pole?

Answers

The height of the pole is 6.50 meters

How to calculate the height?

To calculate the height of the pole, we will use of the following equivalent ratios.

By Pythagoras theorem, we have:

[tex]x ^2 = 2^2 + 3^2\\\\x ^2 = 4 + 9\\\\x = \sqrt{13}[/tex]

So, we have:

[tex]h = \dfrac{\sqrt{13}^2 }{2} \\\\h = \dfrac{13}{2}\\\\h = 6.5[/tex]

Hence, the height of the pole is 6.50 meters

Read more about Pythagoras' theorem at:

brainly.com/question/654982

#SPJ1

a die is tossed twice and the number of dots facing up in each toss is counted and noted in the order of occurrence. (a) find the sample space. (b) find the set a corresponding to the event “number of dots in first toss is not less than number of dots in second toss.” (c) find the set b corresponding to the event “number of dots in first toss is 6.” (d) does a imply b or does b imply a? (e) find and describe this event in words. (f) let c correspond to the event “number of dots in dice differs by 2.”

Answers

A die is tossed twice and a number of dots facing up in each toss are counted and noted in the order of occurrence.

a) The sample space is given as:

Sample Space (S)= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5),(2,6),(3,1),(3,2),(3,3)(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1)(5,2)(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),c),(6,6)}.

What is the sample space?

A sample space is a collection of a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.

b) the set corresponding to the event number of dots in the first toss is not less than the number of dots in the second toss.

{(6,6),(6,5)(6,3)(6,2)(6,1)(6,4),(5,1)(5,2)(5,3),(5,4),(5,5),(4,1),(4,2),(4,3),(4,4),(3,1),(3,2), (2,1), (2,2),(1,1)}

c) find the set b corresponding to the event number of dots in the first toss is 6.

{(6,1),(6,2),(6,3),(6,4),c),(6,6)}.

e) a does not imply b or does b imply a.

To learn more sample spaces visit:

https://brainly.com/question/10558496

#SPJ1

20 percent of 180 hours

Answers

Answer:

36 hours

Step-by-step explanation:

To find the percentage of a number, change the percent to decimal form

20 percent = .20

Multiply this by the number

.20 * 180

36

20 percent of 180 = 36

Skyler, Robert, and Kaitlyn all solve the same exponential problem but have different approaches. Skyler Robert Kaitlyn 729=9 729=9 729=9 (36)=9 (93)=91 (36)=32 6x = 9 3x = 1 6x = 2 x = 96 x = 13 x = 26 x = 32 x = 13 Explain Sklyer's processes. Is Skyler correct? If not, where did she go wrong? Explain Robert's processes. Is Robert correct? If not, where did he go wrong? Explain Kaitlyn's processes. Is Kaitlyn correct? If not, where did she go wrong?

Answers

The justification for whether Skyler, Robert, or Kaitlyn was right or wrong stems from how they went about their processes:

Skyler erred by failing to equalize the bases of both sides before equating the exponents.Robert is right since he equalized the exponents before comparing the bases of the two sides.Since Kaitlyn made the bases of both sides equal before equating the exponents, she is accurate.

1) SKYLER'S PROCESS:

Skyler wants to resolve the following issue;

Reduce 729 to the lowest base possible as a first step; [3^(6)]^x = 9

729^(x) = 9

The next thing she did was convert 6x to 9.

Since both sides must have the same base when dealing with exponent equality, she may have transformed 9 to have the same base of 3 as the left hand side before equating the exponents.

So Skyler is wrong.

2) ROBERT'S PROCESS:

Skyler failed to capture both bases equally, as we witnessed, but Robert has now made the right decision by;

9^(3x) = 9¹

After which he equated the exponents to get;

3x = 1

x = 1/3

Thus; Robert is correct

3) KAITLYN'S PROCESS:

Kaitlyn is also accurate since she adhered to the same method, which calls for comparing bases before comparing exponents.

Learn more about laws of exponents here:

brainly.com/question/11761858

#SPJ10

I need a walk through please 1​

Answers

Answer:

[tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]

Step-by-step explanation:

You work in the order you have: you start with your number x, so your first step will be [tex]f_0(x)=x[/tex]. then you add 2: [tex]f_1(x) =x+2[/tex]. Then you take the square root of what you have in the previous step: [tex]f_2(x) = \sqrt {x+2}[/tex]. Finally, you divide by 9: [tex]f(x) = \frac{\sqrt{x+2}} 9[/tex]

Which values of x and y would make the following expression represent a real number?
(4 +51)(x + yı)
O x = 4, y =
O x=-4, y = 0
Ox = 4, y = -5
O x = 0, y = 5

Answers

The  values of x and y would make the following expression represent a real number is 4 and -5 respectively

Complex and real number

The standard form of writing a complex number is given asl

z= x + iy

where

x is the real part

y is the imaginary part

Given the expression below;

(4 +5i)(x + yi)

Expand

4x + 4yi + 5ix + 5y(-1)

4x + 4yi + 5ix - 5y

Hence the  values of x and y would make the following expression represent a real number is 4 and -5 respectively

Learn more on complex number here: https://brainly.com/question/10662770

#SPJ1

Find each percent of change. 30 is decreased to 6

Answers

Answer:

80

Step-by-step explanation:

we know that 1 percent of 30 is just 30 / 10 which is 3. Is 6 a multiple of 3? yes it is. 6 / 3 = 2. that means 6 is 20 percent of 30 but it hasn't been decreased by 6, it is 6. meaning that the answer is 100 - 20 which is 80

7 of 9 For each 48 mm of coloured fabric Fiona uses to make her curtains, she also uses 1.2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form. 7 of 9 For each 48 mm of coloured fabric Fiona uses to make her curtains , she also uses 1.2 cm of white fabric . Express the amount of white fabric to coloured fabric as a ratio in its simplest form​

Answers

Answer:

amount of coloured fabric in mm = 48

amount of white fabric in mm = 12

ratio = white fabric : coloured fabric = 12 : 48 = 1:4

There are 120 students in Year 11 at a school.
Each student studies one language, either French, Spanish, German or Welsh.
21 of the 40 students studying Welsh are male.
18 males and 9 females study French.
12 of the 17 students studying Spanish are female.
Twice as many females study German than males.
How many students in Year 11 are female?

Answers

Answer:

80 students are female

Step-by-step explanation:

21 are male meaning 19 are female

9 are female in French

12 are female in Spanish

total = 40

2x + 40 = 120

2x = 80

x = 40

females'  = 80

total = 80

Which graph represents the function f(x)=−3x−2?

Answers

Answer:

Step-by-step explanation:

Suppose that we agree to pay you 7​¢ for every problem in this chapter that you solve correctly and fine you ​6¢ for every problem done incorrectly. If at the end of 26 problems we do not owe each other any​ money, how many problems did you solve​ correctly?

Answers

Answer:

I solved 26 problems correctly.

find in factord form -9n+n^2=0

Answers

Answer:

n(-9+ n) =0

Step-by-step explanation:

-9n+n^2=0   Kind of use 'reverse distributive' property

n (-9 + n) = 0

Find the jacobian of the vector valued function F(v) = [3x*2y, 5xx, 9yy]

Answers

Answer:

F(v)=0

Step-by-step explanation:

F(v) = [3x*2y, 5xx, 9yy]

Calculate the product

F(v) =[tex]\frac{d}{dv\\}[/tex] [3x*2y, 5x*x, 9y*y]

The derivative of a constant is always 0

F(v) =[tex]\frac{d}{dv\\}[/tex]((6xy,5[tex]x^{2}[/tex],9[tex]y^{2}[/tex]))

f(v)=0

a u.s dollar bill remains in circulation about 1 1/4 years. A u.s coin is in circulation about 22 1/2 times longer. About how long is a coin circulation brainly

Answers

Answer:

28.125

Step-by-step explanation:

22.5×1.25=28.125

Answer:

28 1/8

Step-by-step explanation:

1.25 x 22.5 = 28.125

urgent help algebra 2 quick please

Answers

Answer: y = -3/2x + 6, y intercept is (0, 6)

Step-by-step explanation: You are dividing 2 from both -3x and 12. -3/2x cannot be simplified any further unless it's a decimal, so we leave it as -3/2x. But, since the equation was y = -3x+12 originally, we divide 12 from 2 as well and not just from 3x, and we get 6.

Hope this helped.

List five rational numbers between:
−4
7
and
1
2

Answers

5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

How to find the rational numbers?

Remember that any integer is also a rational number.

So, if we want to find 5 rational numbers between -47 and 12, we can just find 5 integers between these two numbers.

To do that, we can just add 1 to the lowest bound, we will et:

-47 + 1 = -46

-45 + 1 = -45

-44 + 1 = -44

-43 + 1= -43

-43 + 1 = -42

So 5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}

If you want to learn more about rational numbers:

https://brainly.com/question/12088221

#SPJ1

The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?

Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 8 units and its width is 5 units.

104 units2
132 units2
152 units2
168 units2

Answers

Here, the surface area, in square units, of the triangular prism is 152 units².

We know that the area of any triangle can be calculated as

Area = 1/2 * base * height

The area of any rectangular figure can be calculated as

Area = length * width

Here, the length of the rectangular portion of the prism is 8 units.

The width of the lowermost rectangle is 5 units.

The area of the uppermost rectangle = the area of the lowermost rectangle = 8 * 5 units² = 40 units²

Again the width of the middle rectangle is 6 units.

So, the area of the middle rectangle = 6 * 8 units² = 48 units²

Now, the height and base of the triangles are 4 and 6 respectively.

So, the area of the left-hand side triangle = the area of the right-hand side triangle = 2 * (1/2) * 4 * (6/2) units² = 1 * 4 * 3 units² = 12 units²

Then the area of the triangular prism = area of rectangular portion + area of triangular portion = (2 * 40 + 48) + (2 * 12) units² = (80 + 48) + 24 units² = 128 + 24 units² = 152 units²

Therefore the surface area, in square units, of the triangular prism is 152 units². So, Option C is correct.

Learn more about the area here -

https://brainly.com/question/3867236

#SPJ10

Can someone please help me? I’ll give brainliest to the first person who gets it right

Answers

Answer:

128 degrees

Step-by-step explanation:

B = D

B = 128

Therefore, D = 128

This shape has these characteristics:

 ⇒ there are two sets of parallel sides

      ⇒ This shape is a parallelogram

Since this shape is a parallelogram:

  ⇒ meaning that angles opposite to each other

       ⇒ equal in measure

Since ∠B and ∠D are opposite each other

  ⇒ ∠D = 125°

Answer: ∠D = 125°

Hope that helps!

Write and simplify the equation you would use to solve the problem below.

A farmer builds a rectangular pen with a perimeter of 116 feet. If the length is 5 feet more than the width, what is the width?
A.w + 5 = 116
B.4w + 10 = 116
C.2w + 5 = 116
D.2w + 10 = 116

need a hand i cant figure this one out

Answers

Answer:

4w + 10 = 116

Step-by-step explanation:

Call the width w.

The length is 5 more than that, so the length is w + 5

Perimeter is 2w + 2l

2w + 2(w+5) = 116

Distribute the 2 to the values in the parentheses.

2w + 2w + 10 = 116

Combine like terms

4w + 10 = 116

Find the solution to the system
of equations.
432G
K
3
-4-3-2-1 1 2 3 4
-1
==x+2
21
4234
([?], [ ])
Enter

Answers

Answer:

(-2, 0)

Step-by-step explanation:

The solution to the system is the point where the graphs intersect.

help asap pls ill mark brainliest fr
order them from least to greatest solve them first

Answers

Answer:

1/2 - 1/3,

1 - 1/2,

1/4 + 1/2

Step-by-step explanation:

1/4 + 1/2 = 1/4 + 2/4 = 3/4

1/2 - 1/3 = 3/6 - 2/6 = 1/6

1 - 1/2 = 2/2 - 1/2 = 1/2

Hence, the desired order is

1/2 - 1/3,

1 - 1/2,

1/4 + 1/2

Mirele needs to buy fencing to completely surround her backyard pool. How much fencing should she buy?

A pool has a length of 31.74 feet and a height of 14.85 feet.

Answers

Answer:

93.18 feet

Step-by-step explanation:

Length of backyard pool = 31.74 feet

Height of backyard pool = 14.85 feet

To find = Use the formula for the perimeter of a rectangular pool.

= 2 ( length + height )

Length of fencing bought by Mirele:

2 ( 31.74 + 14.85 ) = 2 ( 46.59 ) = 93.18 feet

16. You found a shortcut to school that saves 5 minutes off of taking the freeway. About 1 in every 10 trips
you get stuck behind a bus and it ends up taking you 20 minutes longer than the freeway. What is the expected
value of the shortcut?

Answers

Answer:

  it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

__

The expected value of the shortcut is ...

  0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

Additional comment

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

Other Questions
what is the slope of the line that passes through the points (-9,0) and (-17 , 0 ) Re-write each verb and object into an usted orustedes command with a direct object pronoun.Place the pronoun in the correct location and addan accent to the verb if necessary. Remember, ifyou are suppose to use an accent because of whereyou place the pronoun, you have to insert theaccent or the box will be marked wrong.1. Isabel, (comprar) / los pantalonesIsabel , .2. Rosa, no (vender) / las bolsas. Rosa, no 3. Isabel y Rosa, (buscar) / el zapatoIsabel y Rosa,4. Juan, (pagar)/ la cuenta.Juan no . I talked more quicklymore vehemently; but the noise steadily increased. i arose and argued about trifles, in a high key and with violent gesticulations; but the noise steadily increased. why would they not be gone? i paced the floor to and fro with heavy strides, as if excited to fury by the observations of the men?but the noise steadily increased. what is the effect of parallelism in this excerpt? What is the solution to the equation below? Round your answer to twodecimal places.log2(2x-1) = 3A. x=4O B. x= 1/2732O c. x = 2/O D. x = 5 A person writing a persuasive essay should:try to avoid bias.write a strong conclusion that emphasizes the important points made throughout the essay.think about reasons why readers might disagree with his point of view.All of the choices are correct. for the previous problem some of the work was done for you remember when solving a quadratic equation you must start with all terms on one side and put it in standard form for the following equations first put the equation in standard form and them use quadratic formula to solve 9x^2 -25 = -12-10x4n^2-1=-12n +3n^2+11 Which describes how the parent function, f(x) = |x|, is transformed to show the functionf(x) = 0.1|x 3|?It is wider and shifted 3 units to the left.It is wider and shifted 3 units to the right.It is narrower and shifted 3 units to the left.It is narrower and shifted 3 units to the right. The University of Washington leads initiatives to research and prevent NCDs in many countries, but spends a high number of resources in the U.S., Kenya, and South Africa. Share your ideas as to why each of these countries may be an area of focus. Select the correct number on the image.This map shows the amount of soil moisture (SM), which is an indicator of water availability for people living in that region. Based on the data from map, which region has the maximum risk of a water shortage? on a number line point D is at -6 and point E is at 8 point F lies between points D and E if DF:FE is 3:1 where does point F lie on the number line Write and solve an inequality that means a number plus four is greater than or equal to twelve. (english literature 40 points) how was the declaration of independence relevant to the colonial era and the age of reason? form a thesis that explores the aspect of it. 9B There are two missing words in each question Put them inExample:8your parents got jobs and, if so, what they do?Have your parents got jobs, and if so, what do they do?When trains for London leave and how much a return ticket?67Where you buy your new mobile phone and how much it cost?Where you last night and what you do?Where I buy a cheap computer in this town and how I get there? Globalization as an apparent universal civilization revolves around the emergence and spread of common systems, including but not limited to, political relations, economic transactions, technology creation / transfer, and Where in the world do we find some early evidence that people counted? Identify the products formed in this Brnsted-Lowry reaction. HCO3+BrOacid+base Under mississippi's early constitutions, how did the state governor differ from the president of the united states? o .the governor was chosen by members of the legislature. o.the governor only had veto and appointment powers. o .the governor served in office for a longer term. o .the governor was limited to a single term. (02.06 LC) Which economic model reveals the variety of options for what to do with your scarce time? O Supply curve Demand curve O Income distribution curve O Production possibilities curve ( 02.06 LC ) Which economic model reveals the variety of options for what to do with your scarce time ? O Supply curve Demand curve O Income distribution curve O Production possibilities curve Once submitted, who can cancel an enrollment application before the effective date?. An igneous rock is light in color and has extremely coarse grains. What is the most likely origin of the rock?A a magma chamberB the bottom of the oceanC an outer slope of a volcanoD the shore of a volcanic island