write a quadratic function whose graph passes through (4,-7) and has a vertex of (1,6) what does Y=

Answers

Answer 1

write a quadratic function whose graph passes through (4,-7) and has a vertex of (1,6)

REmember that

The equation of a vertical parabola in vertex form is equal to

y=a(x-h)^2+k

where

(h,k) is the vertex

a is the leading coefficient

substitute the given values

(h,k)=(1,6)

y=a(x-1)^2+6

Find the value of a

we have the point (4,-7)

so

For x=4

y=-7

substitute

-7=a(4-1)^2+6

-7=a(9)+6

solve for a

9a=-7-6

9a=-13

a=-13/9

therefore

y=(-13/9)(x-1)^2+6

Related Questions

Decide whether the given ordered pair is a solution to the system of equations.
y = −4x
y =1/2x+7
(-2,8)

Answers

Answer:

No, the ordered pair is not a solution to the system of equations

Step-by-step explanation:

Plug x and y into the equations and if both equations are true, then the ordered pair is a solution. Y is 8 and X is -2

8 = -4(-2) is correct

8= 1/2(-2) + 7 is not correct, the equation is equal to 6, not 8.

Find the volume of the oblique rectangular prism below. (2 points)
15
10
8
Enter your answer and your work or explanation in the space provided. Round your answer to the nearest hundredth.

Find the volume of the oblique rectangular prism below. (2 points)15108Enter your answer and your work

Answers

Using the formula we know that the volume of the oblique rectangular prism is 1,200units³ respectively.

What is an oblique rectangular prism?

A prism with oblique bases is one in which the bases are not parallel to one another.

An oblique rectangular prism is a rectangular prism with bases that are not arranged one over the other.

The following qualities describe an oblique prism: It seems to be slanted or skewed. Parallelograms make up an oblique prism's faces.

The height is gauged from the outside.

The two bases are not positioned next to one another exactly.

So, the volume formula for the oblique rectangular prism:

V=l⋅w⋅h

Now, insert values:
V=l⋅w⋅h

V=15*10*8

V=1,200 units ³

Therefore, using the formula we know that the volume of the oblique rectangular prism is 1,200units³ respectively.

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(WILL GIVE BRAINLIEST PLS HELP) Marco is saving for tuition costs at a state university. He deposited $8500 in a 4-year certificate of deposit that earns 7.25% per year. What equation represents this scenario?
f(x)=4*7.25^x
f(x)=8500*4^x
f(x)=1.0725*8500^x
f(x)=8500*1.0725^x

Answers

Answer:

($8500)(0.0725)(4)

The expression f(x) = 8500*0.0725*x  represents the b best scenario. None of them are correct.

Equation that fit the scenario of He deposited $8500 in a 4-year certificate of deposit that earns 7.25% per year, to determine.

What is equation?

Equation are link of variables that contain equal sign.

Here,
He deposited $8500 in a 4-year certificate,
f(x) = 8500
Earns 7.25% per year,
f(x) = 8500*0.0725*4

Thus, the expression f(x) = 8500*0.0725*x  represents the b best scenario.

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how to find the length of EF?

how to find the length of EF?

Answers

\(CD = \frac{HG + EF}{2} \Leftrightarrow EF = 2CD - HG\)

\(2x - 2 = 2x - x + 3\\2x - 2x + x = 3 + 2\\x = 5\)

\(EF = 2 * 5 - 2 = 10 - 2 = 8\)

Answer: 8.

Answer:

EF=8

Step-by-step explanation:

HG=x-3

CD=x

EF=2x-2

Since HG is 3 less than CD, EF has to be 3 more than CD

x+3=2x-2

3+2=2x-x

5=x

x=5

HG=2

CD=5

EF=8

Commitment to goals can be promoted in which of the following ways?

Answers

Commitment to goals can be promoted in through:

by imagining how you will feel when you achieve themby identifying who or what might keep you from achieving them

What is goal commitment?

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain outcomes, are significant. Commitment helps you stick to your goals in both good and bad times, when obstacles arise. Commitment is influenced by two factors: importance and

Goal commitment is generally defined as an individual's determination to devote time and effort to achieving a goal.

Goal commitment is the degree of determination a person uses to achieve an accepted goal, and it is determined by two major factors: importance and self-efficacy. The reasons a person has for achieving a goal, including expectations of certain.

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30 POINTS HELPPPPP PLS Simplify the following. Do not Evaluate



30^7

Answers

i used a calculator and for some reason got 21870000000. i’m soooo sorry if this is incorrect but

Which sequences are geometric? Select three options.

Answers

Answer:

there are no sequences pls edit or repost so i can help : )

a shirt was originally marked as $24.95 rings up at the register as 19.96 what is the percent discount on the shirt

Answers

Answer:

The discount is 20% off

hope this helps!

express 28x-35y=-7,inthe form ax+by+c=0and find the value of a,b,&c​

Answers

Answer:

a = 28, b = -35 and c =7

Step-by-step explanation:

Given expression is :

28x-35y=-7

We need to express it in the form of ax+by+c=0 and then find the value of a,b and .

Adding 7 to both sides.

28x-35y+7=-7+7

28x-35y+7=0

or

28x+(-35y) +7=0

It is in the form of ax+by+c=0.

On comparing,

a = 28, b = -35 and c =7

y x1 x2
10 1 16
11 5 11
15 5 14
15 9 11
20 7 1
23 11 8
27 16 7
32 21 3

a. Using technology, construct a multiple regression model with the given data.
b. Interpret the meaning of the values for b1 and b2.

Answers

Answer:

ŷ = 0.964X1 - 0.336X2 + 13.066

b1 = 0.964 which is the unit change in the value of y when x1 changes.

b2 = - 0.336 which is the unit change in the value of y when x2 changes

Step-by-step explanation:

Y

10

11

15

15

20

23

27

32

X1

1

5

5

9

7

11

16

21

X2

16

11

14

11

1

8

7

3

The general form of a multiple regression equation is in form:

ŷ = b1x1 + b2x2 + c

Where,

ŷ = predicted or dependent variable

b1 and b2 = slope or gradient Coefficient for the independent or predictor variables x1 and X2 respectively.

c = intercept (constant)

Using the online multiple regression calculator, the model obtained by Inputting the values is written below:

ŷ = 0.964X1 - 0.336X2 + 13.066

Value of b1 = 0.964 which is the unit change in the value of y when x1 changes.

Value b2 = - 0.336 which is the unit change in the value of y when x2 changes

The average length of a baby at birth is 19 inches long. There are 2.54 centimeters in 1 inch. What is the average length of a baby at birth in centimeters.

Answers

Answer:

16.46 I don't know

Step-by-step explanation:

3/4n=-1 3/4n-18

Step by step please

Answers

Answer:

Solving the expression \(\frac{3}{4}n=-1\frac{3}{4}n-18\) we get \(\mathbf{n=-\frac{36}{5} }\)

Step-by-step explanation:

We need to solve the expression: \(\frac{3}{4}n=-1\frac{3}{4}n-18\)

Solving:

\(\frac{3}{4}n=-1\frac{3}{4}n-18\)

First we convert mixed fraction into improper fraction

\(\frac{3}{4}n=-\frac{7}{4}n-18\)

Now adding 7/4 n on both sides

\(\frac{3}{4}n+\frac{7}{4}n=-\frac{7}{4}n-18+\frac{7}{4}n\\\frac{3}{4}n+\frac{7}{4}n=-18\)

Now, taking LCM on left side

LCM of 4 and 4 is 4

\(\frac{3}{4}n+\frac{7}{4}n=-18\\\frac{3*1n+7*1n}{4}=-18\\\frac{3n+7n}{4}=-18\\\frac{10n}{4}=-18\)

Now, multiply both sides by 4/10

\(\frac{10n}{4}\times \frac{4}{10} =-18\times \frac{4}{10}\\n=-\frac{36}{5}\)

So, solving the expression \(\frac{3}{4}n=-1\frac{3}{4}n-18\) we get \(\mathbf{n=-\frac{36}{5} }\)

log2(1/128)=x, then x =

Answers

The value of x will be -7. The expression is solved using the identity.

What is the definition of a logarithm?

Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.

Given expression;

\(\rm log_2(\frac{1}{128}) = x\)

The expression is solved using the identity as;

\(\rm log_e1 = x\\\ e^x=1\)

Apply the identity;

\(\rm log_2(\frac{1}{128}) = x \\\\ 2^x = \frac{1}{128}\\\\ 2^x = \frac{1}{2^7} \\\\ 2^x = 2^{-7} \\\\ x = -7\)

Hence the value of x will bed -7.

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Last week Tom earned $4.50 for every car he washed.
He washed cars over the weekend and now has $63.
Which equation shows x, the number of cars he washed?
Ο Α.
$6x = $4.50
$4.50x = $63
O B.
O C.
O D.
x = $4.50 = $63
$4.50 $63 = x
Plz help

Answers

Answer:

4.50x=63

Step-by-step explanation:

in sum 14 cars washed

It B 4.50 that the answer

Leslie buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches. What is the diameter of the pizza to the nearest inch?

Answers

Answer:

i believe it's 4.5

Step-by-step explanation:

Answer:

14 in. hope this helps!!:)

Step-by-step explanation:

Which shows the solution set to the
inequality below?
2x+35-5
A. H
-5 -4 -3 -2 -1
0 1
++
2 3 4 5
-
B. +
HHHHHH
-5 -4 -3 -2 -1 0 1 2 3 4 5
C. HA
++++
-5 -4 -3 -2 -1 0 1
0 1 2 3 4 5
D.
-5 -4 -3 -2 -1
+++++
0 1 2 3 4 5

Which shows the solution set to theinequality below?2x+35-5A. H-5 -4 -3 -2 -10 1++2 3 4 5-B. +HHHHHH-5

Answers

Answer:

The answer is C hope this can help you out!

I will give you the second part of the question.What fraction chose flight ?

I will give you the second part of the question.What fraction chose flight ?

Answers

As shown in the table :

The total number of students who chose the flight = 37

And the total number of the students = 100

So, the fraction will be : 37/100

the answer is option C. 37/100

A system of equations is given.

Equation 1: 4x − 6y = 10
Equation 2: 9x + 2y = 7

Explain how to eliminate x in the system of equations.

Answers

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

What's 2+5^3, and how exactly would I solve it​

Answers

The result of  the expression 2 + 5^3 is 127.

To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

In this case, the exponentiation should be performed first.

Step 1: Calculate 5^3

5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.

Step 2: Add 2 to the result from Step 1.

2 + 125 = 127.

Therefore, the result of 2 + 5^3 is 127.

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Solve by Factoring:
2x^2 - x - 3 = 0

Answers

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The ratio of 36 apples to 18 children​

Answers

It could be 1:1 or 2:1 if you dont give them more than 1 apple and save some

Step-by-step explanation:

Question 10 of 20 :
Select the best answer for the question.
10. If five times a number plus two is 17, what is the number?
A. 2
B. 5
ООО
C.3
D. 7
Mark for review (Will be highlighted on the review page)
<< Previous Question
Next Question >>

Answers

Answer:

C. 3

Step-by-step explanation:

3 x 5 = 15, 15 + 2 = 17 :)

A bag contains 8 red balls and 3 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red

Answers

Answer:

12/55

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcomes.

Given that the bag contains 8 red balls and 3 white balls, the probability of picking a red ball

p(r) = 8/(8+3) = 8/11

Probability of picking a white ball

= 3/11

when a red ball is picked first, the total number of balls reduces to 10 hence the probability that the second ball is white, given that the first ball is red

=8/11 * 3/10

= 24/110

= 12/55

What is 20% of 80 I need help

What is 20% of 80 I need help

Answers

Answer:

16

Step-by-step explanation:

20% = 0.2

80 x 0.2 = 16

Please mark me Brainliest :)

Answer:

16 is 20 percent out of 80

Step-by-step explanation:


given the following table with selected values of f(x) and g(x) evaluate f(g(1))

given the following table with selected values of f(x) and g(x) evaluate f(g(1))

Answers

The value of f(g(1) from the table of functions is given as 1.

What is Functions ?

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

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The value of coin A is twice the value of coin B. Together, the total value of the two coins is $30.00 What is the value of each coin?

Answers

Answer: Coin A is $20, coin B is $10

Explanation:

A + B = $30

B = $10

$10 x 2 = $20

A = $20

$20 + $10 = $30

Find the slope of the line that passes through (56, 49) and (-18, 35).

Answers

Answer:

\(\displaystyle \frac{7}{37}\)

Step-by-step explanation:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-49 + 35}{-56 - 18} = m \hookrightarrow \frac{-14}{-74} = m \\ \\ \boxed{\frac{7}{37} = m}\)

I am joyous to assist you at any time.

what would be your first step in completely factoring 6a^2-15a+6

Answers

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.

P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48

1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?

Answers

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy

Answers

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

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A list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. Define a predicate isSorted that expects a list as an argument and returns True if the list is sorted, or returns False otherwise.(Hint: For a list of length 2 or greater, loop through the list and compare pairs of items, from left to right, and return False if the first item in a pair is greater.)Below is an example of a main function and the associated output:def main():lyst = []print(isSorted(lyst))lyst = [1]print(isSorted(lyst))lyst = list(range(10))print(isSorted(lyst))lyst[9] = 3print(isSorted(lyst))TrueTrueTrueFalse on september 1, 2018, real estate professionals company paid $5,000 in advance for an eight-month rental space covering the period of september 1, 2018 through april 30, 2019. the deferred expense was initially recorded as an asset. the company makes adjusting entries once a year at year-end. the adjusting entry on december 31, 2018 would include a . i will give brainliest to whoever answers correctly. this is due in 10 minutes so i would appreciate if you could do it all of the following are common ways for a buyer to get assurance that a title is good except which? Financial statement users need to be aware of changes in inventory levels when using costing. (Enter only one word per blank.) What are the Similarities and Differences for the following central banks; National Bank of Ukraine, Bank of Canada, South African Reserve Bank, Central Bank of Liberia, US Federal reserve and European Central Bank in terms of:1) Monetary Policy process and decisions2) Domestics Financial Market Operations3) bank Independence in operating4)Transparency in its activities5) Communication6) Dealing with Moral Hazards7)Financial indicators (GDP, CPI, interest rate etc. what is the circumference if we use 3.14 for pi?A. 48.8 mB. 3.14 mC. 200.96 mD. 50.24 After he has been deemed nonrestorable, criminal charges against him are likely to be: A) refiled within the next 3 years. B) filed with the Supreme Court. What is the author attitude towards this method of controlling mosquitos? What is the slope and y-intercept of the linear equation y = 5x - 4 I need helpThis question is about Diary of Anne frankAccording to the type of text it is, what effect does the author seek to produce? Explain. what does the introductory chapter conclude about the influence of cognitive approaches on other areas of psychology? Since an application is for deployment on cloud , thus security will entirely be service provider's responsibility and not ours This assumption is after meiosis i, what is the ploidy of each daughter cell? what is the replication state of the chromosomes in each cell? (replicated or unreplicated) Solve the equation w + 1.5 = 8.75. Show or explain your thinking. Ionic bonds are ___________ than covalent bonds and are ___________ common in cells. Exercise In 90 days your main customer in Europe will be paying you an invoice of 1,000,000 Today, the exchange rate for the is $1.14567 - 94 . The interest rates you can get from your banks are 4.2% - 6.3% in Europe and 3.9%6.1% in the USA. Can you, with the tools above, fix (hedge) the amount of \$ you will be receiving from your customer? Within an imc program, customizing communication with blank______ results in improved attitudes and thus solidifies customer relationships. when current output is greater than potential output, which of the given monetary policies is the federal reserve (the fed) likely to enact? decreasing reserves to increase interest rates increasing reserves to decrease interest rates stimulating consumer spending by manipulating tax rates making imports more costly to increase domestic spending A pair of parallel lines is cut by a transversal.If mA = (5x 4) and mB = (8x 28), what is the value of x?A) 8B) 9.4C) 16.3D) 36