What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?

Answers

Answer 1

Answer:

  x = 2

Step-by-step explanation:

A graph shows the axis of symmetry easily. It is the x-coordinate of the vertex.

  x = 2

__

You can rearrange the equation to ...

  y -7 = 4x -x^2

  y -7 = x(4 -x)

The axis of symmetry is halfway between x-values that give the same y-value. Here, y=7 for x=0 and for x=4. That is, the right side of this equation is zero at those x-values. The axis of symmetry is halfway between, at x = (0+4)/2 = 2

The axis of symmetry is x=2.

_____

Alternate solutions

In standard form,

  ax^2 +bx +c = y

the axis of symmetry is ...

  x = -b/(2a)

Putting this equation into that form, we have ...

  -x^2 +4x +7 = y

  x = -(4)/(2(-1))

  x = 2 . . . . axis of symmetry

__

We can rearrange the equation to vertex form.

  y -7 = -x^2 +4x

  y -7 -4 = -(x^2 -4x +4) . . . . . add the square of half the x-coefficient inside parentheses. Add an equal amount to the other side of the equation.

  y -11 = -(x -2)^2

This tells us the vertex of the graph is (2, 11), so the axis of symmetry is x=2.

What Is The Axis Of Symmetry For The Graph Of Y 4x = 7 X2 ?

Related Questions

During Ashland High School basketball games, the snack bar sells both cheese and pepperoni pizza slices. Last night, the snack bar sold 143 slices of pizza. They sold 10 times as many pepperoni slices as cheese slices.

How many slices of cheese pizza did the snack bar sell last night?

slices of cheese pizza

Answers

Answer:

  13 slices of cheese pizza

Step-by-step explanation:

Consider grouping the slices so there are 10 pepperoni and 1 cheese in each group of 11. Then 143 slices represents 143/11 = 13 groups. Since there is 1 cheese slice in each group, ...

  13 slices of cheese pizza were sold

The population of a town increased from 3450 in 2006 to 4650 in 2011. Find the absolute and relative (percent) increase.

Answers

Answer:

15% increase per year.

Step-by-step explanation:

5,600 - 3,500 = 2,100

2,100 is what percent of 3,500?

2,100 = X*3,500

X =  2,100 / 3,500

X = .60 or 60%

An average of 15% increase per year.

Answer:

the population of a town increased from 3450 and 2006 to 51,50 and 2010 find the absolutes and relative percent increase

Step-by-step explanation:

A polynomial function had -5+ root 3i as a root which of the following must also be a root of the function

Answers

Answer:

  none of the above (talk to your teacher about this)

Step-by-step explanation:

If a polynomial has real coefficients, complex roots come in conjugate pairs.

A root of [tex]-5+\sqrt{3} i[/tex] will have a conjugate of [tex]-5-\sqrt{3}i[/tex], which will also be a root.

__

Here, it looks like the given root is [tex]-5+\sqrt{3i}[/tex], which is different from [tex]-5+\sqrt{3}i[/tex]. None of the listed choices is the complex conjugate of this value.

The value of [tex]-5+\sqrt{3i}[/tex] is ...

  [tex]-5+\sqrt{3i}=-5+(\sqrt{\dfrac{3}{2}}+\sqrt{\dfrac{3}{2}}i)[/tex]

so its conjugate is ...

  [tex](-5+\sqrt{3i})^*=-5+\sqrt{\dfrac{3}{2}}-\sqrt{\dfrac{3}{2}}i=\boxed{-5+\sqrt{-3i}}[/tex]

You will note that this is not among the answer choices.

_____

Additional comment

When a problem like this has an error in its presentation, we highly recommend you discuss it with your teacher (to get it corrected or deleted for future students). If you feel you must select one of the (erroneous) answer choices, your computer will probably accept the choice of [tex]-5-\sqrt{3i}[/tex], the first one.

Answer:it’s A

Step-by-step explanation:

I got it right on edg

Which best explains whether a triangle with side lengths 2 inches 5 inches in 4 inches is an acute triangle

Answers

Answer:

The Pythagorean Theorem is a helpful tool that best explains whether a triangle with side lengths 2 inches, 5 inches, and 4 inches is an acute triangle or an obtuse type of triangle. Under the Pythagorean Theorem, a certain triangle is an acute triangle if a^2 + b^2 is greater than c^2.

Step-by-step explanation:

im not sure if this helps but....

Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle; it is not an Acute angles triangle.

How are triangles discriminated based on angles?

If all of three angles of a triangle are < 90° then triangle is acute.

If one of the angle is of 90°  then the triangle is right angled triangle.

If one of the angle is  > 90°  then triangle is called obtuse triangle.

How to identify if a triangle is acute, right angled or obtuse?

Let we have:

H = biggest side of the triangle

And let we get  A and B as rest of the two sides.

Then we get:

If A^2+B^2 > H^2  , then triangle is obtuse

Given:

Length of the sides of the triangle; 2 , 5 and 4inches

If a , b and c is sides of the triangle such that c is the longest side then;

1). if c² > a² + b² implies that triangle is Acute angled.

2). if c² = a² + b²  implies that triangle is Right angled.

3). if c² < a² + b²  implies that triangle is Obtuse angled.

We have, a = 2 in , b = 4 in  and c = 5 in

So, c² = 5² = 25

a² + b² = 2² + 4² = 4 + 16 = 20

therefore; c² > a² + b²

Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.

Learn more about the triangles;

https://brainly.com/question/2773823

#SPJ6

The cone in the diagram has the same heght and base area as the prism. What is the ratio of the volume of the cone to the volume of the
prism
base area =B
base area =
DA
volume of cone
volume of prism
B volume of cone
volume of prism
1
3
Ос
volume of cone
នាង
Bones reserved

Answers

Answer:

  1/3

Step-by-step explanation:

The volume of a prism in terms of base area (B) and height (h) is ...

  V = Bh

The volume of a cone in terms of base area (B) and height (h) is ...

  V = (1/3)Bh

Then the desired ratio is ...

  cone volume / prism volume = ((1/3)Bh)/(Bh) = 1/3

The ratio of the volume of the cone to the volume of the prism is 1/3.

Help anyone? Who knows this 6th grade math

Answers

Answer:

√33 ≈ 5.7

Step-by-step explanation:

The length of the bottom diagonal is given by pythagoras, let's call it d:

[tex]d =\sqrt{5^2+2^2}[/tex]

Then, the length of the diagonal through the box is also given by pythagoras as:

[tex]\sqrt{d^2 + 2^2}[/tex]

In total, that is:

[tex]\sqrt{5^2 + 2^2 + 2^2} = \sqrt{33} \approx 5.7[/tex]

Which of the following is an example of a matched pairs design? A. A teacher calculates the average scores of students on a pair of tests and wishes to see if this average is larger than 80%. B. A teacher compares the pre-test and post-test scores of students. C. A teacher compares the scores of students using a computer based method of instruction with scores of other students using a traditional method of instruction. D. A teacher compares the scores of students in her class on a standardized test with the national average score.

Answers

Answer:

B. A teacher compares the pre-test and post-test scores of students

Step-by-step explanation:

the answer is true, because it is a good example to compare the tests between students, we know that a matching pair design is a random model and is used when the experiment allows grouping subjects in pairs based on a variable and each pair will receive randomly a different handling, the answer A is not true because in the example all students are uniformly averaged and the variable is not correlated with subgroups, option c is incorrect because the variable was not randomized and generates classification bias and the option d is incorrect because the teacher compares a small sample as her class with a score of a total sample, but does not intervene on her students when selecting the corresponding group

Matched pair design describes an experimental technique whereby subjects having certain variable or characteristic are paired or matched based on that variable, usually called the key variable. Hence, an example of a matched pair design is "a teacher compares the pre-test and post-test scores of students."

In these type of experimental design, the key or common variable pertinent to both matched subjects is of utmost importance.

The only option where, the variable shared is common is the pretest and posttest scores.

In the other options, comparing traditional and computer based instructions doesn't match ; similarly, standardized score and national average do not match perfectly.

Hence, the most appropriate option is A.

Learn more : https://brainly.com/question/19445381

help asap will give brainliest to whoever answer's correctly.

Answers

Answer:

cant see the image

Step-by-step explanation:

what is the difference between 64,926 and 49,079​

Answers

Answer:

15847

Step-by-step explanation:

I did the math

Answer:

15,847

Step-by-step explanation:

Fill in the table using this function rule.
y= 3x - 3

Answers

Answer:

1. -3*-4+3= 15

Y=15

2.-3*-2+3=9

Y=9

3. -3*0+3=3

Y=3

4. -3*2+3= -3

Y= -3

Which expression is equivalent to m n + z?
n m + n
z + m z
m z + n
z + n m

Answers

Answer:

z + n m

Step-by-step explanation:

These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.

If this answer is correct, please make me Brainliest!

Answer:

It's "c"

Step-by-step explanation:

i just did this on edge

00:00
Hei has the element shown for his science experiment. How many kilograms of the material does he have?
(1.000 grams = 1 kilogram)
Copper
3,508 g
350.8 kilograms
35.08 kilograms
3.508 kilograms
0.3508 kilograms

Answers

Answer:

3.508 kilograms

Step-by-step explanation:

This question can be solved using a rule of three.

We have that each kilogram is 1000 grams. How many kilograms are there for 3508 grams?

1kg - 1000g

xkg - 3508g

[tex]1000x = 3508[/tex]

[tex]x = \frac{3508}{1000}[/tex]

[tex]x = 3.508[/tex]

So the correct answer is:

3.508 kilograms

Domain is the set of all input values, while range is the set of all:
independent variables
C. relations
b. output values
d. functions
а.

Answers

I am thinking it will be d . Functions

I WILL GIVE BRAINLIEST PLEASE HELP!! Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference.
−1280, −320, −80, −20, −5, ....

Answers

Answer:

  geometric, 1/4

Step-by-step explanation:

An arithmetic sequence will have a common difference. A geometric sequence will have a common ratio. If neither of those describes the sequence, it is "neither."

Obviously the difference between numbers in this sequence is decreasing, so this is not an arithmetic sequence.

__

The ratios of adjacent terms are ...

  -320/-1280 = -80/-320 = -20/-80 = -5/-20 = 1/4

The sequence is a geometric sequence with a common ratio of 1/4.

Meg is building a rectangular prism with cubes. Which is the volume of Meg's
rectangular prism?

Answers

Answer:

48

Step-by-step explanation: 4x8=32 2x8=16 32+16=48 :)

A celebrity called Wayne East has been having some money problems recently. He is thinking of investing in the greatest record in the world, and wants to know how the value will change over time. He has an exponential regression model where his predictor is time in months, and response variable is money, measured in thousands of dollars. The alpha value is 4.2, and beta is 1.03. Based on this model, how much money (in thousands) will he have after six months

Answers

Answer:

Wayne west would have $5,015 in six months

Step-by-step explanation:

The formula for exponential regression model is y = αβˣ

Where y is amount of money in 1000 dollars

           x is time in months

We are given that α = 4.2 and  β = 1.03 and x = 6 months

Therefore, based on this model, y = αβˣ, the amount he would have in 6 months, y = [tex]4.2*(1.03) ^{6}[/tex]

y = 5.015 × 1000 = $ 5,015

Question 13
Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.
t2 – 2t + 4
a) (t – 4)(t – 4)
b) (t + 4)( t + 2)
c) prime
d) (t + 4)(t – 2)

Answers

Answer:

Step-by-step explanation:

Try completing the square:  t^2 - 2t + 1 - 1 + 4 becomes (t - 1)^2 + 3.  If we set this equal to zero we get (t - 1)^2 = -3.  Normally we'd take the square root of both sides, but because that -3 is negative, this is not possible, and the square root of positive 3 is not integer.  Thus, the correct response here is "prime."

show more notes w. heieie you can do it for​

Answers

Answer:

Scallops

Step-by-step explanation:

what is the mode following data set: 0.5, 0.3, 0.2, 0.9, 0.3, 0.5, 0.2, 0.3

Answers

Answer:

the mode is 0.3

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

hope this helps!!!!!!!!

Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
s Dauda and Luca had GH<600.00 more than Dauda. Il Patricia had GH2,000.00. W
was the average share, to the nearest GH!
Answer:​

Answers

Answer:

GH 1533

Step-by-step explanation:

Let Dauda's share of the money=x

Patricia had twice as much  as Dauda, therefore:

Patricia's share=2x

Luca had GH 600.00 more than Dauda, therefore:

Luca's Share =x+600

If Patricia had GH 2,000.00

Then: 2x=2000

x=1000

Therefore:

Dauda's Share=GH 1000Patricia's share=GH 2000Luca's Share =1000+600=GH 1,600

Next, we determine the average share.

[tex]\text{Average Share=}\dfrac{1000+2000+1600}{3}\\=\dfrac{4600}{3}\\\\=$GH 1533.33\\\text{Average Share} \approx $GH 1533 (to the nearest GH)[/tex]

How many solutions does the system have?
8x+ 2y = 14
8x + 2y = 4
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions

Answers

Answer:

No solutions

Step-by-step explanation:

Subtract the two equations

8x+ 2y = 14

-8x - 2y =- 4

----------------------------

  0 = 10

This is never true so there are no solutions

Answer:

No solutions

Step-by-step explanation:

I just did it on khan.

Which of the following shows the proper Order of a food chain?

Answers

Answer:

c) producers herbivores carnivores decomposers

Step-by-step explanation:

Producers are at the bottom of the food chain, plants are natural producers and provide food and nutrients to consumers. Herbivores nourish on plants and insects.  Predators prey on herbivores or other predators. Decomposers is When an animal dies, scavengers and decomposers break them down.

Answer:

The answer is option 3 .

Step-by-step explanation:

Producers produce its own food Herbivores eat only plants, feed on producersCarnivores eat both plants and animals, feed on herbivores Decomposer decompose the dead organism

e.g

Grass -> Zebra -> Hyena -> Mushroom / Fungi

Find the area of a semi-circle with radius, r = 83cm.
Give your answer rounded to 1 DP.

Answers

A = (pi x r^2)/2
A = (6889 x pi)/2
A = 3444.5 x pi
A = 10.821.2

Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws her
total balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?
$180.00
$320.00
$352.48
$471.70

Answers

Answer:

$352.48

Step-by-step explanation:

500 = P(1+6/100)^6

500 = P(1.141851912)

P = 500 / 1.1418519112 = 352.48

In the figure below, which term best describes point V?

Answers

Answer:

A

Step-by-step explanation:

The name of the point represented by V is an orthocenter. Option A

An orthocenter of a triangle.

A triangle's point of concurrency is its orthocenter. It is the location where the triangle's three altitudes come together.

A line segment drawn perpendicular from a triangle's vertex to the other side or its extension represents the triangle's altitude.

Usually, the letter "H" is used to indicate the orthocenter. It is a crucial point in triangle geometry and has a variety of characteristics and connections to other triangle points like the circumcenter and centroid.

Learn more on orthocenter here: https://brainly.com/question/22440007

#SPJ2

Apply distributive property to factor out the greatest common factor.
Explanation:44h-33 I need an answer?

Answers

Answer:11(4h-3)

Step-by-step explanation:

44h-33

11(4h-3)

Jen's test grades for this term are 85, 92, and 95. She wants to have a test average of at least 90 for this term, and she will have one more test. What is the lowest score that she can get to have a test average of at least 90?

Answers

Answer:

88 points

Step-by-step explanation:

If she has 85, 92, and 95, she has an average of 90 2/3. To get the lowest score, first do 272+90=362. 362/4=90.5. Next do 272+88, the next lowest even number. 272+88=360. 360/4=90.

Answer:

88 points

Step-by-step explanation:

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C? On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle.

Answers

Answer:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Let's look at the answer choices:

A: "A Is congruent to B and B Is congruent to C"

Well, clearly, if A ≅ B and B ≅ C, then by the transitive property, we can say that A ≅ C. So, A is very likely correct.

B: "A Is congruent to A, B Is congruent to B, C Is congruent to C"

Just because A is congruent to itself (and same with B and C) doesn't necessarily mean that they're congruent to each other. So, B is wrong.

C: "Each triangle is a right triangle."

Again, there are so many right triangles out there with different dimensions. For example, there are some with sides 3, 4, and 5, and others with sides 5, 12, and 13. They are not congruent, however. So, rule out C.

D: "Each triangle is an isosceles triangle."

This is just like choice C since there are so many variations of isosceles triangles. So D is wrong.

The answer is thus A.

Answer:

First one:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Since B is obtained by translating A, it has the same measure angles and sides as A, hence B is congruent to A

C is obtained by reflecting B, which doesn't alter the measure of sides and angles, so C is congruent to B

Therefore by transition, C is congruent to A

To the nearest tenth of a cubic centimeter, what is the volume of
the sphere if r = 17 cm?

Answers

20579.53 cubic centimeters.

Answer:

V≈20579.53

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^3[/tex]

PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!!!

Answers

Answer:

1

Step-by-step explanation:

x^2 + 2x + 1 = (x+1)^2

Answer:

3

Step-by-step explanation:

Hope this helps.

Other Questions
What was the purpose of the trials that took place in nuremberg germany from 1945 to 1949 Data were collected over a 10-year timespan from a sample of penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283 Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain Which is not a reason that water is used to store spent fuel rods from nuclear power plants? Water increases the speed of the chain reaction in the fuel rods. Water protects nuclear power plant workers from the high temperature and radiation of the fuel rods. Water acts as a radiation shield to reduce the radiation levels. Water cools the spent rods. Wanda did 12 push-ups on Saturday, 24 push-ups on Sunday, 48 push-ups on Monday, and96 push-ups on Tuesday. What kind of sequence is this? Please dont comment if you dont know the answer. So I have an hp laptop that I have a year with and everything was working great until a month ago when it started saying that the battery couldnt hold charge anymore. Since I didnt want to buy a battery I simply started using while connected with the charger. But after a few days of saying the battery couldnt hold charge out of a sudden when I tried connecting my mouse or controller it would recognized. It passed power to whatever I connected to it but it simply wouldnt work. Can it be fixed? Or do I have to buy a new one. how kepler describe the planets orbits Je me suis cass le bras quand je faisais du ski. Le mdecin ma donc prscrit dix sessions de _________________.A. poche de glaceB. kinsithrapieC. pltreD. chirurgie Which of the following is true?A. South Vietnam surrendered on April 30, 1975, as Northern troops entered Saigon. B.Vietnam was officially reunited on July 2, 1976.C. The country became the Socialist Republic of Vietnam, with its capital at Hanoi. D. All of the above When historians use the term "___ ___" they are referring to the United States during the Civil War, and when they use the term "The Confederacy" they're talking about the Confederate States of America. 20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!How many 4-digit multiples of 5 are there?please have a formula and don't just write them all out. Thanks. You are making pudding. The recipe asks for 3/10 cup of sugar and you want to make 8/2 of the original recipe. How many cups of sugar will you need? Giving Brainliest if correct!!Rihanna wants to purchase a dishwasher and is shopping around at different stores. Which two benefits can Rihanna get from using credit instead of cash for her purchase?(You can pick more than 1)1. She can receive a discount on the price if she uses credit instead of paying cash2. She can use the dishwasher while paying for it over a period of time.3. Her cost of purchase will decrease if she uses credit instead of cash4. She can buy the dishwasher even if she doesnt have the money now to pay for it.5. She wont need to pay taxes on the purchase. Cattle live in an area where the streams are dry. For which basic need do these cattle most likely compete? a food b shelter c water d energy YOU WILL GET BRAINLIEST!! What could help a country move from Stage 1 to Stage 2 of the demographictransition?- Instituting population restrictions-increased immigration-The diffusion of contraceptives-better sanitation-Improving education for women Arrasmith Corporation uses customers served as its measure of activity. During February, the company budgeted for 37,000 customers, but actually served 27,000 customers. The company uses the following revenue and cost formulas in its budgeting, where q is the number of customers served: Revenue: $5.50q Wages and salaries: $35,200 + $1.70q Supplies: $1.10q Insurance: $12,400 Miscellaneous expenses: $8,400 + $0.50q The company reported the following actual results for February: Revenue $ 159,800 Wages and salaries $ 70,000 Supplies $ 16,400 Insurance $ 12,400 Miscellaneous expense $ 27,700 Required: Prepare the company's flexible budget performance report for February. Label each variance as favorable (F) or unfavorable (U). (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.) the table shows jills math quiz scores. what is the minimum score she needs on her next quiz to have a mean of at least 92week 1: 92week 2: 96week 3: 94week 4: 88 Mills Corporation's balance sheet included the following information: Accounts Receivable $ 580,000 Less: Allowance for Doubtful Accounts 73,000 Accounts Receivable, Net of Allowance $ 507,000 If the Allowance account had a credit balance of $31,500 immediately before the year-end adjustment for bad debts and no accounts were written-off or allowed for during the year, what was the amount of Bad Debt Expense recognized during the year Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7Find the range and the outlier(s), if any, of the data set. Select all the following that describe isotopes of an element_ Different numbers of neutrons_ Different mass numbers_ Different atomic numbers_ Different numbers of protons