Use the zeros and the labeled point to write the quadratic function represented by the graph.​

Use The Zeros And The Labeled Point To Write The Quadratic Function Represented By The Graph.

Answers

Answer 1

Answer:

The quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].

Step-by-step explanation:

Parabolae are defined by second order polynomials, that is, a polynomial of the form:

[tex]y = a\cdot x^{2} + b\cdot x + c[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]a, b, c[/tex] - Coefficients.

By Algebra, we know can calculate the set of all coefficients based on the knowledge of three distinct points. According to the graph, we have the following points: [tex](x_{1}, y_{1}) = (2, 0)[/tex], [tex](x_{2}, y_{2}) = (4, 0)[/tex] and [tex](x_{3}, y_{3}) = (6, 8)[/tex], and the resulting system of linear equations is:

[tex]4\cdot a + 2\cdot b + c = 0[/tex] (2)

[tex]16\cdot a + 4\cdot b + c = 0[/tex] (3)

[tex]36\cdot a + 6\cdot b + c = 8[/tex] (4)

The solution of the system of linear equations is:

[tex]a = 1, b = -6, c = 8[/tex]

Hence, the quadratic function represented by the graph is [tex]y = x^{2}-6\cdot x + 8[/tex].


Related Questions

According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume that annual household income in Maryland follows a normal distribution with a median of and standard deviation of . a. What is the probability that a household in Maryland has an annual income of or more (to 4 decimals)

Answers

Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]

What is the probability that a household in Maryland has an annual income of X or more?

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.

How do you do?????????

Answers

Answer:

Where is the full questions?

Use the method of least squares to solve the following problem.
Given the data set below, find the line of best fit? Then find the y-value for when x=7. Yes, there are supposed to be
two 6's.
Х
1
2
4
5
6
6
8
9
Y
14
10
12
8
9
6
3
4

Answers

purr fbfbfbffjhfbfbfbfbfbfbf

What is the midpoint of a line segment with endpoints at (-1,-1) and (3,3)?

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The correct answer is (1, 1)

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Answer:

~~~~~~~~~~~~~~~~~~~~~~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

simplify 2p/3 ×5p/12​

Answers

Answer:

After simplify answer will be :[tex]\frac{5p}{18}[/tex]

Step-by-step explanation:

Given data:

[tex]\frac{2p}{3} *\frac{5p}{12}[/tex]

Now,

[tex]\frac{10p}{36}[/tex]

Final answer would be :

[tex]\frac{10p}{36}=\frac{5p}{18}[/tex]

Which of these would be the opposite of a progressive tax?

Answers

c

A regressive tax is the opposite of a progressive tax because you pay a higher tax rate as your income decreases.

Answer:

b

Step-by-step explanation:

A married couple filing jointly with a taxable income of $240,000 and a $7000 tax credit. The tax owed is?

Answers

Answer:

247000 ?

Step-by-step explanation:

If I understand this right then that should be the answer. I added 240000 and 7000

answer 1 or answer 2?

Answers

Answer:

2 Function B

Step-by-step explanation:

Answer:

Function B is greater

Step-by-step explanation:

The gradient of Function B is of 3 = m

Though the gradient of Function A  is of 1 = m, obviously being of the smaller size

If you didn't know, gradient is the same as the slope

Hope this helps

the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​

Answers

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

I need help with this fast

Answers

Answer:

1. positive

2. No

(for number 3, I'm not sure if my answer to it is going to be correct)

Step-by-step explanation:

1. the dots look like they are going up

2. there are no outlying dots that look unusual

Question 11
Find the volume.

Answers

Answer:

volume of the cube=15×15×15

=3375 in³

volume of the cylinder=πr²h

=π×7²×14

=686π

volume of the figure=3375+686π

the answer is first option

Please quickly need this before 30 mimutes

Answers

Answer:

x = 4.48

Step-by-step explanation:

read the picture

(05.06 MC)
Choose the function to match the graph.
-6
5
3
3
2.
1
-2
0
2.
3
4
5
6
-1
-21

Answers

9514 1404 393

Answer:

  (b)  f(x) = log(x) +4

Step-by-step explanation:

The x-intercept of any log function is (1, 0). The graph here has been shifted 4 units up from that, so is a graph of ...

  f(x) = log(x) +4

PLEASE HELP !!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT !!

Answers

Answer:

-2 and 0

Step-by-step explanation:

EZ

If JK is formed by J(-7,-8) & K(1,4), determine if L(-9,5), lies on the perpendicular bisector.


Part A: What elements do you you need to know to confirm that Point L is on the perpendicular bisector of JK?

Part B: Find the elements you described in Part A , explain your work.

Part C: Verify if Point L is on the perpendicular bisector of JK. Justify your conclusion.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point a:

Bisector Theorem: When a point has been on the perpendicular bisector of a segment, the perpendicular bisector is equivalent towards the segment endpoints. They understand that conversation also valid in addition to the Theorem including its perpendicular bisector. So the distance b/w L and J, L, and k must be found. Examine it then.

For point b:

Calculating the distance among two point:

[tex]d_0 = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}[/tex]

Calculating the distance among J and L

[tex]d_1 = \sqrt{((-9)-(-7))^2 + (5)-(-8))^2}[/tex]

    [tex]=\sqrt{(-2)^2+(13)^2}\\\\ = \sqrt{173}[/tex]

Calculating the distance among  K and L  

[tex]d_2 = \sqrt{((-9)-(1))^2 + (5)-(4))^2}[/tex]

    [tex]=\sqrt{(10)^2+(1)^2}\\ = \sqrt{101}[/tex]

For point c:

As these two distances are not equal, L doesn't really lie on the JK bisector.

Please help me i need help

Answers

Answer:

H

E

A

R

T

S

Step-by-step explanation:

easy

Explain how to do this and provide with an answer.

Answers

Answer:

V=480m^2

Step-by-step explanation:

Csikszentmihalyi & Figurski (1982) conducted a study to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves). They gave people beepers and asked them to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that:

Answers

Answer:

We think about ourselves way less than we think 8% of the time.

Step-by-step explanation:

In a self-awareness: introspection research study conducted by Mihaly Csikszentmihalyi and Thomas Figurski in 1982, to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves).

The research involved an arrangement where participants were given beepers and asked to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that "We think about ourselves way less than we think 8% of the time."

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, without replacement, a face card? Express your answer as a fraction or a decimal number rounded to four decimal places

Answers

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

[tex]P(B|A) = \frac{12}{51}[/tex]

What is the probability of choosing a king and then, without replacement, a face card?

[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]

0.0181 probability of choosing a king and then, without replacement, a face card.

(2+5i)+(-3-4i) what is the answer to this question?

Answers

Answer:

-1+i

Step-by-step explanation:

(2+5i)+(-3-4i)

=(2-3)+i(5-4)

=-1+i

Answer:

[tex]−1+i[/tex]

Step-by-step explanation:

[tex](2+5i)+(−3−4i)[/tex]

[tex]2+5i−3−4i[/tex]

[tex]−1+5i−4i[/tex]

[tex]−1+i[/tex]

Hope it is helpful.....

pls answer! Dylan spots an airplane on radar that is currently approaching in a straight line, and
that will fly directly overhead. The plane maintains a constant altitude of 6400 feet.
Dylan initially measures an angle of elevation of 16° to the plane at point A. At some
later time, he measures an angle of elevation of 36° to the plane at point B. Find the
distance the plane traveled from point A to point B. Round your answer to the
nearest foot if necessary.

Answers

Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

The distance the plane traveled from point A to point B is 13510 ft

Calculation of the distance:

Here we assume the distance between A and B should be x.

Now the y value should be

[tex]6400\div y = tan 36\\\\y = 6400\div tan 36[/tex]

y = 8808.84 ft

Now, we can find x

[tex]6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x[/tex]

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

Learn more about distance here: https://brainly.com/question/785292

Compute 7,953,000 / 1000.

Answers

Answer:

The answer is 7,953.

Step-by-step explanation :

When you divide like this you are basically being asked how many times something can go into something else. In this case, we are being asked to calculate how many times 1000 can go into 7,953,000. You can use basic math skills or do long division.

I'm going to go with the easier way, basic math skills.

There are three 0's in the back of the number 7,953,000, and notice 1000 has three 0's as well in the back. When you divide those three 0's in the back of both numbers basically cancel out. Well, what does that leave us with?

7953 is what were left with. The answer is 7,953.

Help help help help

Answers

answer: 116⁰

z⁰ for y⁰ because it's

equal

Beezlebum's Toy Store can't keep their stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edge.
How many blocks are in the set?
Write your answer as a whole number or decimal. Do not round.

Answers

9514 1404 393

Answer:

  96

Step-by-step explanation:

In terms of blocks, the box dimensions are ...

  (14 in)/(3.5 in/block) = 4 blocks

  (21 in)/(3.5 in/block) = 6 blocks

Then the volume in terms of blocks is ...

  V = LWH

  V = (4)(4)(6) = 96 . . . . blocks

There are 96 blocks in the set.

Find the distance between the points ( 19,-5) and ( 11, 10).

Answers

Answer:

Let the given two points be A & B. Let A ( 19 , - 5 ) be ( x₁ , y₁ ) & B ( 11 , 10 ) be ( x₂ , y₂ )

Remember : The formula to find out the distance between any two points is [tex] \tt{ \sqrt{( x_{2} -x _{1}) ^{2} + (y _{2} - y_{1}) ^{2} }} [/tex] .

[tex] \large{ \tt{✺ \: SOLUTION}} : [/tex]

[tex] \large{ \boxed{ \tt{AB = \sqrt{(x_{2} - x_{1}  ) ^{2} + (y_{2} - y_{1}) ^{2}   } }}}[/tex]

[tex] \large{ \tt{⟶ \sqrt{(11 - 19)^{2} + (10 - ( - 5) ^{2} } }}[/tex]

[tex] \large{ \tt{⟶ \sqrt{ {8}^{2} + {15}^{2} } }}[/tex]

[tex] \large{ \tt{⟶ \: \sqrt{64 + 225} }}[/tex]

[tex] \large{ \tt{⟶ \sqrt{289}}} [/tex]

[tex] \boxed{ \large{ \tt{⟶ \: 17 \: \text{units}}}}[/tex]

And we're done! Let me know if you have any questions regarding my answer :)

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please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared​

Answers

9514 1404 393

Answer:

  B, D, E, A, C

Step-by-step explanation:

The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.

The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).

In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.

Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.

Write an equation of a line that passes through the point (7, 3) and is parallel to the line y = - ⅔ x + 3. (10 points)
A. y = 3 over 2x − 3
B. y = 3 over 2x + 3
C. y = -2 over 3 x + 23 over 3
D. y = -2 over 3 x - 23 over 3

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

An earthquake with a rating of 6.5 is
considered a major earthquake that can
cause damage over a large area.

Answers

Answer:

it is not considered a major earthquake, for it to be considered a major earthquake it has to have a rating of 8.0 or higher

Write the equation of a line with a slope of −2 and a y-intercept of 5.

Answers

9514 1404 393

Answer:

  y = -2x +5

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

  y = mx + b . . . . . . . . . line with slope m and y-intercept b

You want a line with slope -2 and y-intercept 5, so your equation is ...

  y = -2x + 5

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