Sketch the graph of each function. Identify the solutions and the vertex

Sketch The Graph Of Each Function. Identify The Solutions And The Vertex

Answers

Answer 1

Using value pairs, the graph of the function is shown below.

The vertex is at y = 3

Sketching the graph of a quadratic function

From the question, we are to sketch the graph of the given quadratic function

From the given information, the quadratic function is

y = -(x - 1)² + 3

To sketch the graph of the function, we will determine the value pairs that satisfy the curve

When x = -1

y = -(x - 1)² + 3

y = -(-1 - 1)² + 3

y = -(-2)² + 3

y = -(4) + 3

y = -4 + 3

y = -1

Value pair: (-1, -1)

When x = 0

y = -(x - 1)² + 3

y = -(0 - 1)² + 3

y = -(-1)² + 3

y = -(1)² + 3

y = -1 + 3

y = 2

Value pair: (0, 2)

When x = 1

y = -(x - 1)² + 3

y = -(1 - 1)² + 3

y = -(0)² + 3

y = 0 + 3

y = 3

Value pair: (1, 3)

When x = 2

y = -(x - 1)² + 3

y = -(2 - 1)² + 3

y = -(1)² + 3

y = -1 + 3

y = 2

Value pair: (2, 2)

When x = 3

y = -(x - 1)² + 3

y = -(3 - 1)² + 3

y = -(2)² + 3

y = -(4) + 3

y = -1

Value pair: (3, -1)

Using the value pairs, the graph of the function is shown below

From the graph,

The vertex (highest point), is at y = 3

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Sketch The Graph Of Each Function. Identify The Solutions And The Vertex

Related Questions

Which choice is equivalent to the quotient below?
√32
OA.
√2
B. 4
C. 2
D. 24
SUBM

Which choice is equivalent to the quotient below?32OA.2B. 4C. 2D. 24SUBM

Answers

Answer:

C (2)

Step-by-step explanation:

• √32 = 4√2 ( bc √32 = √16×2 = √16×√2 = 4×√2 )

• √8 = 2√2 ( bc √8 = √4×2 = √4×√2 = 2×√2 )

So √32 ÷ √8 is equal to 4√2 ÷ 2√2

And there √2 cancels for both

So what you're left with is 4 ÷ 2

And 4÷2 = 2

Helppppp and you get some sweet candyyyy

Kelly is given the following word problem:

Gina runs 5 miles on Saturday and 6 miles on Sunday. How many miles does she run total?

Kelly’s answer is 11. What did Kelly do wrong?
A
She added 5 and 6 instead of multiplying.

B
She subtracted 5 from 6 instead of adding.

C
She didn’t ignore the extra information.

D
She didn’t include units in her answer.

Answers

Answer:

your answer is c l hipe this helps u

Answer:

d

Step-by-step explanation:

aint no way in hell its not 11

table
Number of half-lives 0 1 2 3 4 5 6
the remaining amount of substance (grams) 4,000 2,000 1,000 500 250 125 62.5

which equation best fits the data in the table
A. f(x)=1/2 (4,000)*
B. f(x)= 2,000 (1/2 ) *
C. f(x)= 4,000 (1/2)*
D. f(x)=4,000 (2*)

Answers

Answer:

Step-by-step explanation:

b

Sylvia bought 8 bags of stickers. Each bag costs $2.79 how much did Sylvia spend

Answers

Answer:

Sylvia's total cost=$2.79*8

=$22.32

Step-by-step explanation:

if i compare 0.10__0.01 what would the answer be?

if i compare 0.10__0.01 what would the answer be?

Answers

The answer will be 0. 10 >  0. 01 . Option B

How to compare the values

Given the values as;

0.100.01

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

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Rainer earns four dollars in rewards for every $75 he spends at the grocery store if he earned $44 in rewards last month how much did he spend at the store

Answers

Answer:

dont really know this one sorry:)

Step-by-step explanation:

I WILL MARK BRAINLIEST!! What is the value of x in this triangle?

I WILL MARK BRAINLIEST!! What is the value of x in this triangle?

Answers

Answer:

x = 2

Step-by-step explanation:

Answer:  x = 8

=============================================================

Explanation:

The tickmarks tell us which sides are the same length. This in turn tells us that points N and O are midpoints of LJ and LK respectively (since midpoints cut a segment in half). We consider segment NO to be a midsegment.

Recall that midsegments are half as long as the side they are parallel to. That means segment NO is half as long as JK. This reverses to segment JK being twice as long as segment NO.

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

JK = 2*(NO)

2x+8 = 2*(12)

2x+8 = 24

2x+8-8 = 24-8 .... subtract 8 from both sides

2x = 16

2x/2 = 16/2 ...... divide both sides by 2

x = 8

If x = 8, then 2x+8 = 2*8+8 = 16+8 = 24. This shows that segment JK is 24 units long which is double that of midsegment NO being 12 units long. This confirms we have the correct x value.

whoever gets this correct first gets brainlest

whoever gets this correct first gets brainlest

Answers

Answer:

f(x) = 4*(5/2)^x

Step-by-step explanation:

First, we know that our function has the points:

(0, 4)

(1, 10)

(2, 25)

The first one (0, 4) means that:

f(0) = 4.

Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)

Here we can discard the function f(x) = 15*x - 5 because:

f(0) = 15*0 - 5 = -5

Then this function is discarded.

Now let's look at the second point, (1, 10)

This means that f(1) = 10

Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.

Here we can discard the first function f(x) = (x + 2)^2 because:

f(1) = (1 + 2)^2 = 3^2 = 9

So the output is not 10 as we wanted.

(while for the other two functions we have)

for f(x) = 6*x + 4

f(1) = 6*1 + 4 = 10

for f(x) = 4*(5/2)^x

f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10

Now we use the last point, (2, 25)

This means that when x = 2, the outcome needs to be equal to 25.

For the function f(x) = 6*x + 4 we have:

f(2) = 6*2 + 4 = 12 + 4 = 16

So we can discard this one.

Then we could conclude that the remaining option is the correct one, but let's ceck.

f(x) = 4*(5/2)^x

then for x = 2

f(2) = 4*(5/2)^2 = 4*(25/4) = 25

correct.

Then the correct option is f(x) = 4*(5/2)^x

A moving sidewalks in an airport moves people between gates . It takes Jason's 9. Year old daughter Josie 40 sec to travel200ft walking with the sidewalk. It takes her 30sec to walk 90ft against the moving sidewalk in the opposite direction). Find the speed of the sidewalk and find Josie's Speed walking a non-moving ground. ​

Answers

Answer:

Step-by-step explanation:

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List at least five combinations of nickels and dimes such that the number of nickels is double the number of dimes.

Answers

2 nickels and 1 dime

4 nickels and 2 dimes

6 nickels and 3 dimes

8 nickels and 4 dimes

10 nickels and 5 dimes

sketch the graph of the function by first making a table of values​

sketch the graph of the function by first making a table of values

Answers

The graph of the function is added as an attachment

How to complete the table of values and the graph

From the question, we have the following parameters that can be used in our computation:

f(x) = x^2 - 1

We have the x values to be

x = ±5 to 0

Substitute the known values in the above equation, so, we have the following representation

f(5) = (5)^2 - 1 = 24

f(4) = (4)^2 - 1 = 13

f(3) = (3)^2 - 1 = 9

f(2) = (2)^2 - 1 = 3

f(1) = (1)^2 - 1 = 0

f(0) = (0)^2 - 1 = -1

Next, we plot the graph using the points

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sketch the graph of the function by first making a table of values

Seiji and Gavin both worked hard over the summer. Together they earned a total of $425. Gavin earned $25 a
more than Seiji.
(a) Write a system of equations for the situation. Use s for
Gavin eamned.
the amount Seiji earned and g for the amount
(b) Graph the equations in the system. in
(c) Use your graph to estimate how much each person earned.

Answers

Answer:

The amount that Seiji earns is $200 and the amount that Gavin earns is $225 and this can be determined by forming the linear equation.

Given :

Seiji and Gavin both worked hard over the summer.

Together they earned a total of $425.

Gavin earned $25 more than Seiji.

a) Let the amount that Seiji earns be 's' and the amount that Gavin earns be 'g'.

The linear equation that represents the total amount they earn is:

s + g = 425   --- (1)

The linear equation that represents the situation "Gavin earned $25 more than Seiji" is:

g = s + 25  --- (2)

b) The graph of both the equation is attached below.

c) Substitute the value of 'g' in equation (1).

s + s + 25 = 425

2s = 400

s = $200

Substitute the value of 's' in equation (2).

g = 200 + 25

g = $225

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Step-by-step explanation:

A class measured the radius and circumference of various circular objects. Does there appear to be a proportional relationship between the radius and circumference of a circle explain or show ur reasoning.

A class measured the radius and circumference of various circular objects. Does there appear to be a

Answers

The required given relationship between the radius and circumference of the circle is not a proportional relationship.

Given that,
A class measured the radius and circumference of various circular objects.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here
For the proportional relationship,
the ratio of y / x should be equal but,
18 / 3 ≠ 25/4
Which implies that the relationship is not proportional.


Thus, the required given relationship of the radius and circumference of the circle is not a proportional relationship.

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Find the product of polynomials (First Screenshot)
Problem 1.5 (Second Screenshot)

Find the product of polynomials (First Screenshot)Problem 1.5 (Second Screenshot)
Find the product of polynomials (First Screenshot)Problem 1.5 (Second Screenshot)

Answers

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

what is polynomials ?

A polynomial is a mathematical expression consisting exclusively of additions, subtractions, multiplications, and positive integer powers of variables. It is an expression of coefficients and uncertainty. x2 4x + 7 represents a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic formula that includes variables and coefficients. Addition, subtraction, multiplication, and non-negative integer exponents are the only operations that can be included in an expression. This type of statement is known as a polynomial.

given

Multiply each combination of terms:

Combine like terms.

3x^5 + 2x^4 + (-7x^3 + 12x^3) + (8x^2 - 6x^2 ) + (-28x - 4x) +14=

3x^5 + 2x^4 + 5x^3 + 2x^2 - 32x + 14.

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

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Which methods correctly solve for the variable x in the equation 7-x=18

Answers

Answer:

x = -11

Step-by-step explanation:

7 - x = 18

+ x on both sides to cancel the negative one

7 = 18 + x

- 18 on both sides to get rid of the 18

solve:

7 - 18 = x

-11 = x

Answer:

collecting like terms

Step-by-step explanation:

step 1. Shift 7 to the right side

-x = 18 - 7

-x = 11

step 2. divide by -1 both sides

-x/-1 = 11/-1

x = -11

What is the answer to this question and how to solve?

What is the answer to this question and how to solve?

Answers

Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

I’ll make brainly if the answer is right

Ill make brainly if the answer is right

Answers

The answer is A; 1/2. You add 1 1/2 and 1 1/2 together to get 3. Then you subtract 3 1/2 and 3 to get your answer 1/2. I hope that helps!

What is the answer plz?

What is the answer plz?

Answers

Answer:

\(1\frac{9}{12}\)

Step-by-step explanation:

Convert any whole numbers to improper fractions

\(\frac{9}{4}-\frac{3}{6}\)

Find the LCM of the denominators and use multiplication to change the denominators to the LCM

\(\frac{27}{12}-\frac{6}{12}\)

Subtract

\(\frac{21}{12}\)

Simplify

\(1\frac{3}{4}\)

\(1\frac{9}{12}\) can be simplified to \(1\frac{3}{4}\) so the answer is \(1\frac{9}{12}\)

ghvhhhhcycycugvuviggggggvvvggfgffgfggyg

Answers

Answer:

fortnite

Step-by-step explanation:

winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin

Answer:

Yes

Step-by-step explanation:

Yes

A polynomial, P(x) = x2 + 2x + k has (x – 2) as a factor. What is
the value of k?

Answers

Answer:

x-2 =0

x=2

now

putting the x value in p

we have,

p(2) = x2 + 2x +k

= 2×2 +2×2+k

= 4+4+k

= 8+k

so,

Either

8+k =0

k= - 8

** will give brainliest** Solve the equation for A:
cos A = 0.5967
(And how did you get this answer)

Answers

In your graphing calculator, you can press 2nd then cos to create cos^-1 and then press 0.5967.

You’re basically doing arccos(0.5967) or cos^-1(0.5967)

Remember to put your calculator into radian mode first.

Your answer will be 0.9314138684 in radian

For degrees it would be 53.36608364

2. Increasing the minimum wage has not traditionally caused massive unemployment though traditional economists have argued that it should. Why have changes to minimum wage not affected unemployment too much?
3. The US has one of the lowest federal minimum wages compared to other developed nations. Can you think of reasons why this might be?
4. The real minimum wage has fallen over time with the rise of inflation. This represents less purchasing power for minimum wage workers. Are you ok with that? Why or why not? How many people actually earn at or near minimum wage?

Answers

Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

2. Increasing the minimum wage has not traditionally caused massive unemployment because the relationship between minimum wage and unemployment is not as straightforward as some traditional economists believe. While an increase in minimum wage may lead some employers to reduce their workforce, others may choose to increase prices or find other ways to offset the increase in labor costs. Additionally, minimum wage workers may have more money to spend, which can stimulate the economy and create new jobs.

3. One reason why the US has one of the lowest federal minimum wages compared to other developed nations is because of the country's historical emphasis on individualism and free-market capitalism. Many Americans believe that the government should not interfere too much in the economy and that wages should be determined by market forces rather than government regulations. Additionally, some argue that a higher minimum wage would lead to higher prices and inflation, which could hurt the economy as a whole.

4. it could be argued that a falling real minimum wage represents a failure of the system to provide for the basic needs of its citizens. Minimum wage workers may struggle to make ends meet, which can lead to a host of social and economic problems. In terms of the number of people who earn at or near minimum wage, this varies by location and industry, but it is estimated that around 2.3% of US workers earn the federal minimum wage or less.

Need help solving this!

Need help solving this!

Answers

Answer:

A = 4πcm, 6πcm²

B = 45°, 35πcm²

C = 12m, 18.7πm or 19πm

Step-by-step explanation:

Formulas used...

Length of an arc of a sector = (¢/360)×2πr

Area of sector = (¢/360)×πr²

¢ means the angle given or used

Find the measure of angle 3. 90° 45° 120° 30°

Answers

How are we supposed to answer this question without a picture of the shape

Brody runs a farm stand that sells strawberries and grapes. Each pound of strawberries sells for $2.50 and each pound of grapes sells for $2. Brody made $160 from selling a total of 72 pounds of strawberries and grapes. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x,x, and the number of pounds of grapes sold, yy.

Answers

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

What is equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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S vi) The temperature in Gulmerg in Kashmir was-10°C in January and it rose by 44°c to reach the maximum temperature during summer. The maximum temperature during summer in that year was​

Answers

The maximum temperature during summer in that year was 34°C.

It's not possible for the maximum temperature in Gulmarg, Kashmir to rise by 44°C during the summer.

A temperature rise of that magnitude would be extremely unusual and potentially dangerous.

However, assuming that the question meant to ask about the difference between the minimum temperature in January and the maximum temperature in summer, we can proceed with the calculation.

The minimum temperature in January was -10°C, and if we add 44°C to it, we get:

-10°C + 44°C = 34°C

Therefore, the maximum temperature during summer in that year was 34°C.

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Write an expression to describe the situation.
You have a job earning $1500 a month, m. What expression represents the total amount you’ve earned?

Answers

1500•m i’m guessing

The expression to describe the situation is $1500m, which represent the total amount you’ve earned.

What is an expression?

Expressions can be regarded as the mathematical statements which posses  two terms  or more as well as  numbers or variables, along with an operator.

sincere the total earning is $1500 a month,Then it can be expressed in term of m as   $1500m

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which of the following is an undefined term?​

which of the following is an undefined term?

Answers

Answer: line is the correct answer

Step-by-step explanation:

In math, there are three terms that are “undefined”: point, line, and plane

Answer:  b) Line

Step-by-step explanation:

Lines and planes are considered undefined because they contain an infinite number of points. Also, lines and planes have no width or length.

help plzzzzzzz
15 points for that​

help plzzzzzzz15 points for that

Answers

Answer:

You just find the volume of the cup and subtract the volume of the froth (whatever that is).

V(cup) = pi * r^2 * h

...........= pi * 4.3^2 * 11.2

...........= 650.586cm^3

V(froth) = pi*r^2*h

............= pi*4.3^2*0.4

.............=23.232cm^3

V(hot chocolate) = V(cup) - V(froth)

.........................= 650.586 - 23.232

.........................= 627cm^3

123 grams is rounded to nearest whole. Write down the minimum possible mass it could have been.

Answers

Answer:

The nearest whole is 122.99 repeated

Step-by-step explanation:

Other Questions
The space program has 23 astronauts in outer space and 7 astronauts on Earth. What is the ratio of the number of astronauts on Earth to the total number of astronauts? in what way is the poem stomp by nikki grimes being expressed In the fifth term of the sequence, n= Identify the mitotic phases.anaphasemetaphaseprophasetelophasewhich goes first to last in growth Suppose that a small open economy has 200 workers and that its technology requires 1 worker-hour per unit of food (thus 1 unit of food per worker-hour) and 3 worker- hours per unit of cloth (thus output per worker-hour = 1/3). In autarky, it employs 100 workers in each of the two industries. With free trade, it faces world prices of $10 per unit of food and $20 per unit of cloth. a. Suppose that in autarky, workers in both industries are paid $8 per hour. What are the autarky prices of food and cloth? b. When the country opens to free trade, under the normal assumptions of the Ricardian model, what will it produce, import, and export? From the information given, can you determine the quantities of any of these? What is the country's national income with trade, measured in dollars? c. Suppose, contrary to the normal Ricardian Model assumptions, that when trade is opened, workers are unwilling or unable to change occupations, so that we continue to have 100 workers in each industry. What, then, is the national income of the country, in dollars, and how does it compare to the national income you got in part (b) when workers were mobile? d. What are the wages of the two groups of workers in part (c)? e. Does the country gain from trade in part (c)? Who gains and who loses within it? 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Do you think that Vicky can reasonably get enough protein from her new diet, considering she stands 5 feet 11 inches tall and weighs 155 pounds? 1. Vicky is concerned about getting all the essential amino acids from her diet. Of the 20 amino acids that are commonly found in living tissues, how many of them are considered essential and cannot be made by a healthy adult?a. 11 b. 10 c. 9 d. 8 e. 7 2. Because she is so active, cardiovascular fitness is important to Vicky. 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