The function f(x) = − x^2+ bx +1 is shown in the graph. What is the value of b?

The Function F(x) = X^2+ Bx +1 Is Shown In The Graph. What Is The Value Of B?

Answers

Answer 1

Answer:

b = 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here ( h, k ) = (2, 5 ) , then

y = a(x - 2)² + 5

to find a substitute any point on the parabola into the equation

using (0, 1 ) then

1 = a(0 - 2)² + 5 ( subtract 5 from both sides )

- 4= a(- 2)²= 4a ( divide both sides by 4 )

- 1 = a

then

y = - ( x - 2)² + 5

   = - (x² - 4x + 4) + 5

    = - x² + 4x - 4 + 5

    = - x² + 4x + 1 ← in the form ax² + bx + c

with b = 4


Related Questions

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) 8?

Answers

Step-by-step explanation:

It's answer is x_> -27 by using inequality rule

find the inverse of the given function f(x) = (-2x+1)^2 where x _< 1/2

Answers

Answer:

((√x) - 1 )/-2 = y (3rd answer)

Step-by-step explanation:

Swap the x and y in the original equation:
x = (-2y+1)^2
√x = -2y + 1
((√x) - 1 )/-2 = y
I believe the final answer is the third answer.

Is augmented matri invertible if linear system has a unique solution

Answers

An augmented matrix is invertible if the linear system has a unique solution.

What is an augmented matrix?

The augmented matrix is known as a rectangular matrix.

The properties of an augmented matrix includes:

The number of columns is equal to the number of  variables in the linear equations. The number of rows is the same as the number of linear equations.The rows of the augmented matrix can be also be interchanged.

Note that the inverse of a matrix must be unique

And If A is invertible, then its inverse is unique.

If the linear system is unique, then the augmented matrix is invertible.

Thus, an augmented matrix is invertible if the linear system has a unique solution.

Learn more about augmented matrices here:

https://brainly.com/question/12994814

#SPJ12

In a given year, a marketing firm has the following costs: $560,000 in wages and salaries paid to employees; $74,000 in rental payments for office space; and $83,000 for office supplies, advertising, and utilities. In addition, Andrew, the owner of the firm, works for the firm full time (and is not paid a salary, since he receives the firm's profits). If he did not work for the marketing firm, Andrew could earn $130,000 per year working as a marketing manager for another firm.

Answers

Accounting profit when revenue is 700,000 is $-17,000 and economic profit is $-147,000.

Accounting profit when revenue is 750,00 is $33,000 and economic profit is $-97,000

Accounting profit when revenue is 800,000 is $83,000 and economic profit is $-47,000.

Accounting profit when revenue is 850,000 is $133,000 and economic profit is $3000

What is economic and accounting profit?

Accounting profit is total revenue less total explicit cost. Economic profit is accounting profit less implicit cost

Explicit cost = $560,000 + $74,000 + $83,000 =$717,000

Implicit cost = 130,000

Accounting profit when revenue is 700,000: 700,000- 717,000 = $-17,000

Economic profit = $-17,000 - $130,000 = $-147,000

Accounting profit when revenue is 750,000: 750,000- 717,000 = $33,000

Economic profit = $33,000 - $130,000 = $-97,000

Accounting profit when revenue is 800,000: 800,000 - 717,000 = $83,000

Economic profit = $83,000 - $130,000 = $-47,000

Accounting profit when revenue is 850,000: - 717,000 = $133,000

Economic profit = $133,000 - $130,000 = $3000

Here is the complete question:

For each possible amount of total revenue, fill in the accounting profit and economic profit of the marketing firm.

700,000

750,000

800,000

850,000

To learn more about profit, please check: https://brainly.com/question/26181966

#SPJ1

f(x)=x²-3x-2 is shifted 4 units left. The result is g(x). What is g(x)?

A. g(x)=(x-4)² - 3(x-4)-2
B. g(x)=x²-3x+2
C. g(x) = (x+4)² - 3(x+4) - 2
D.g(x) = (x+4)² - 3x-2

Answers

Answer:

c

Step-by-step explanation:

left is in brackets and opposite sign so left is plus right is minus

help please ……………………

Answers

Answer:

y = 20 , x = 30

Step-by-step explanation:

they're equilateral triangles, meaning that each angle MUST be the same (60 Degrees).

So y = 20

And x = 30

Can anyone help me with this it would be great.

Answers

Answer:

11. The student put 24 as the diameter instead of the radius.

12. 48 pi

Step-by-step explanation:

The formula for the circumference of a circle is c = pi x diameter.

However, the question says that the radius is 24m, not the diameter.

To fix it, all you need to to is double the radius to get 48m for the diameter.

48 x pi = 48 pi

Answer:

The error is that he made the radius a diameter.The circumstances is 150.8571428 m

Step-by-step explanation:

π = 22/7 or 3.14

Circumference= diameter × 22 / 7

= 2 × radius × 22 / 7

= 2 × 24 × 22/ 7

= 48 × 22 / 7

= 48 / 1 × 22 / 7

= 1056 / 7

= 150.8571428 m

Use your knowledge to set up equations and solve for the variables.

Answers

Answer:

x = 45 degrees

Step-by-step explanation:

Using the alternate exterior angle theorem, the angles are equal. You can set the expressions equal to each other:

3x = x + 90
2x = 90
x = 45

Ms. Kilicoglu wants to buy a total of 45 volleyballs and basketballs. She has $435 to spend. Each volleyball costs $8 and each basketball costs $11. How many of each type of ball can she purchase?

Answers

An equation is formed when two equal expressions. Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let x be the number of volleyballs and y be the number of basketballs. Therefore, the total number of balls can be written as,

x + y = 45

x = 45 - y

Each volleyball costs $8 and each basketball costs $11. Also, Ms. Kilicoglu has only $435, therefore,

8x + 11y = 435

8(45 - y) + 11y = 435

360 - 8y + 11y = 435

3y = 75

y = 25

Substitute the value of y in the first equation,

x + y = 45

x + 25 = 45

x = 20

Hence, Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Use the function f(x) = 4x² - 7x - 15 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.​

Answers

Step-by-step explanation:

Part A:

4x² - 7x - 15

a, b, c = 4, -7, -15

ac = -60

factors that add up to -7 and multiply to -60 are (-12, 5)

rewrite equation

(4x² - 12x) + (5x - 15)

factor out GCF from both groups

4x(x - 3) + 5(x - 3)

(4x+5)(x-3)

Part B:

Using the factored form from the previous part we can set both factors equal to 0 to solve for x.

4x+5 = 0

4x = -5

x = -5/4

x-3 = 0

x = 3

the two x-intercepts are -5/4 and 3

Part C:

Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.

Use the given graph to determine the limit, if it exists.

Answers

The limit [tex]\lim_{x \to \ 3^{+} } _f(x)[/tex] is equal to -3 for the function whose graph is being shown in the question.

Given Graph of a function.

If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-10 to -3 the range is from 4 to -2 and from 3 onwards it is a straight line at y=-3. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.

Because the graph is linear from x=3 onwards so the limit of the function will be -3.

Hence the limit [tex]\lim_{x \to \ 3^{+} } f(x)[/tex] is equal to -3.

Learn more about functions at https://brainly.com/question/10439235

#SPJ10

Help I need this today before 12:50pm

Answers

1.

Answer:

<B ≅ <F

<C ≅ <G

<D ≅ <H

<A ≅ <E

Explanation:

Little tick marks are used to show that two sides are the same length (congruent).  You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.

You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).

2.

Answer: x = 8 and y = 19

Explanation:

Triangle MLN ≅Triangle SRT

Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.

<M ≅ <S

<S= 93 (Given)

<M=93

<N=63 (Given)

Line segment ML ≅ Line segment SR

Line segment ML = 43

Line segment SR = 3x + y

Now, we need to find the values of x and y.

43 = 3x + y

<M+<N+<L=180 (Interior angles measure of a triangle is always 180)

93+63+z=180

156+z=180

z= 24

24 is the measure of <R.

<R=3x

24=3x

x=8

Now if we plug in the 8, the value of x, into our equation above,

43=3x+y

43=3(8)+y

43=24+y

43-24=y

19=y

3.

Answer:

<K ≅ <M

<J ≅ <N

<Q ≅ <P

<L≅ <L

Explanation:

Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.

4.

Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.

Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.

What is the volume of the cone shown below?
A. 1344 cu. units
B. 504 cu. units
C. 4032 cu. units
D. 2016 cu. units

Answers

Volume = PI x r*2 x h/3

r = radius which is shown as 8

h is the height which is shown as 63

Volume = 3.14 x 8^2 x 63/3

Volume = 3.14 x 64 x 21

Volume = 4,220.16 cubic units.

there are 3 3/4 cookies. if there is 1/4 of a cookie in each bag, how many bags are there?

Answers

Answer:

15 bags

Step-by-step explanation:

3 = 12/4

3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4

(15/4) ÷ (1/4) = 15

The graphs below have the same shape. The equation of the blue graph is f(x)
=|x|. Which of these is the equation of the red graph, g(x)?
y f(x) = |x|
A. g(x)=|x-5|
B. g(x)=|xl-5
C. g(x)=|x + 5|
D. g(x)=|x|+5

Answers

The required correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Since both graphs have the same shape, the red graph is a transformation of the blue graph.

When we compare the two graphs, we can see that the red graph is shifted horizontally to the left by 5 units. This means that the equation of the red graph must involve the term "x+5" or "x-5" in some way.

Also, we can see that the red graph intersects the y-axis at the point (0, 5). This means that the equation of the red graph must involve the term "+5" in some way.

The correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units. When we plot this equation, we get a graph that has the same shape as f(x) = |x|, but is shifted to the left and intersects the y-axis at (0, 5).

Learn more about function here:

brainly.com/question/21145944

#SPJ5

By rounding to 1 significant figure, estimate the answers to these questions:
a)346 × 904
b) 2451 × 988
c)3204 × 7756

Answers

Answer:

a) 270000

b) 2000000

c) 24000000

Step-by-step explanation:

For a)

346 to 1 s.f is 300

904 to 1 s.f is 900

300 × 900 = 270000

For b)

2451 to 1 s.f is 2000

988 to 1 s.f is 1000

2000 × 1000 = 2000000

For c)

3204 to 1 s.f is 3000

7756 to 1 s.f is 8000

3000 × 8000 = 24000000

Hope this helped and have a good day

Marcia bought a car for £34500 and sold it for £29700. what was her percentage loss?
can i have an explanation please :)

Answers

Answer:

cost of car = 34500

selling price = 29700

amount of loss = 34500 - 29700 = 4800

loss percentage = (loss amount ÷ cost price ) * 100

= 13.913 ≈ 14% loss

the area of an issoseles triangle is 240 if the base is 24cm find the length of each sides​

Answers

Answer:

Both of the two unknown sides of the triangle are 23.32 cm

Step-by-step explanation:

"Isosceles" means that the triangle has two equal sides. It is quite symmetrical. If we draw in the height, the base will be cut right in half by it. See image.

First use area formula:

A = 1/2bh

to find the measure of the height (Area and base were both given)

Then use the Pythagorean Theorem to solve for the hypotenuse, which is the side of the triangle. See image.

Point A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A.

Answers

The number of lines that can be drawn parallel to plane P that passes through point A is 1.

How to depict the information?

From the information given, we are told that Point A lies outside of plane P. It should be noted that when a line is drawn from a point to another, it can only be one.

Therefore, the number of lines that can be drawn parallel to plane P that passes through point A is 1.

Learn more about parallel lines on:

https://brainly.com/question/24607467

#SPJ1

(-7)(-7)(3) integer operations

Answers

Answer:

-×-=+

49×3

147

Step-by-step explanation:

please mark me as brainlest

Trigonometric ratios apply only to right triangles and not to oblique triangles.

true
false

Answers

Answer:

[tex]\fbox {True}[/tex]

Step-by-step explanation:

Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.

Step-by-step explanation:

hope you can understand

The polygon shown is a regular pentagon.
K
108⁰
L
N
M
What is the sum of the measures of all the interior angles of this
pentagon?
OA) 504°
OC) 960°
O B) 540°
OD) 1080°

Answers

The sum of the measures of all the interior angles of the pentagon is 540°. Option B

How to determine the sum

Note that

Sum of Interior Angles in a Pentagon = 540°

A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°

If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°

The sum of the interior angles = 108° + 216° = 540°

Therefore, the sum of the measures of all the interior angles of the pentagon is 540°

Learn more about a pentagon here:

https://brainly.com/question/4222032

#SPJ1

The list price of a commodity is RM420 and the percentage profit is 40%. If the commodity is sold at a discount of 10%, the profit is____.​

Answers

Answer:

56

Step-by-step explanation:

you first had to get the marked price so t you can get the profit.

just as illustrated in the picture above.

Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years old, write a rule that relates their ages over time. When Jack is 28 years old, how old will Todd be?

Answers

A rule that relates their ages over time is given by y = x+3 , When Jack is 28 years , Todd will be 31 years old.

What are Variables ?

Variables are generally alphabets that are used to denote the unknown values in any process or equation.

If Jack is x years old

Todd is y years old

Todd is 3 years older than his brother Jack.

a rule that relates their ages over time is given by

y = x+3

When Jack is 28 years old

Todd will be

y = 28+3

y = 31 years

Therefore Todd will be 31 years old.

To know more about Variables

https://brainly.com/question/15078630

#SPJ1

Nancy was baking a cake for her mom’s birthday. She spent 1/3 of her time measuring the ingredients and 1/4 of her time mixing. Next, she put the cake in the oven to bake. If Nancy spent 35 minutes altogether on measuring ingredients and mixing them, how much total time did it take her to complete all the steps involved in baking the cake?

Answers

Shhsndsnsksdndmd snsns

a tree surgeon reduces the height of a beech tree by 32%.

the tree is now 4.42m tall.

how tall was it before it was reduced?

Answers

Let original Hieght be X

reduction = 32% = 32/100 X

new hieght = 4.42 m

now, 4.42 = X + 32/100 X

4.42 = 132/100 X

X = 4.42 * 100 / 132

X = 3.34 m

Original Hieght = 3.34 m

A social club has 500 members.
If 62% of members are male, what percentage are female?

Answers

Answer:

[tex]\huge\boxed{\sf 38\%}[/tex]

Step-by-step explanation:

Total members = 500

Total percentage = 100%

Percentage of male members = 62%

Percentage of female members:

= 100% - male members

= 100% - 62%

= 38%

[tex]\rule[225]{225}{2}[/tex]

Answer:

310 members or 38% are female

Step-by-step explanation:

100% - 62%male = 38% female

or (62 × 500) ÷ 100 = 310 females

Can you help me graph and list the (Zeros, Maximums, Minimums, Asymptotes)

Answers

The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.

What is a Function ?

A function is a law that relates a dependent variable and an independent variable with each other

It is given that

y = 2tan (x - π/2) +3

To find the zeroes of a function that function has to be equated to zero.

2tan (x - π/2) +3 = 0

2tan (x - π/2)  = -3

tan (x - π/2)  = -3/2

x - 90 = -56.31

x = 33.69 degree

The zero of the function is at 33.69 degree

For finding the maxima /minima

the derivative is

dy/dx = 2 sec² (x - π/2)

the point at which the slope is zero is substituted in the second derivative to find maxima/minima

d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)

if the value is negative then it is a maxima and if it is positive it is a minima.

The vertical asymptote is found by finding the values that make the function undefined

x = 0+ πn

No horizontal or oblique asymptote

To know more about Function

https://brainly.com/question/12431044

#SPJ1

find the value of y when x equals 0
-7x+3y=30​

Answers

Y=10 this is your answer

There are 15 men and 21 women in a club. One man and one female are to be selected at random to represent the club. How many different pairs are there?

Someone please help me with this one, thanks

Answers

There are 315 number of different pairs

How to determine the number of pairs?

The given parameters are:

Men = 15

Women = 21

The number of different pairs is calculated as:

Pair = Men * Women

So,we have:

Pair = 15 * 21

Evaluate

Pair = 315

Hence, there are 315 different pairs

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

Other Questions
pls someone answer Using Central Park in New York City as a model write, a letter to your local mayor stating why you believe the undeveloped city block in the middle of your town should be converted into a city park. Given ST|UV and SU || TV, find the measure of each angle below.Find the angle of STUFind the angle of TVW One mole of a substance contains 6.02 1023 protons and an equal number of electrons. If the protons could somehow be separated from the electrons and placed in very small, individual containers separated by a million meters, what would be the magnitude of the electrostatic force exerted by one box on the other? Helppppppppp plssssss How much of planet Earth is covered in water? Group of answer choicesBetween 50 - 69%Above 70%Below 50% Hybridization of bromine in SF4 and arsenic in SF2 ...........is to a mountain as roof is to house? A kettle consumes 198 kJ to boil water. If 168 kJ was used to boil thewater, what is the efficiency of the kettle? Which transformations will produce similar, but not congruent, figures?Select each correct answer.Square ABCD is dilated by a scale factor of and then translated 1 unit right to form square A B" C"D"Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to formsquare A"B" C"D"Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square A" B" C"D"Square ABCD is rotated 270" clockwise and then dilated by a scale factor of to form square A" BC D If there are large numbers of people under 15 and over 65, what is the main challenge it creates for a country?Economically, its costly to provide resources to them since very little is contributed by them economically.Economically, its costly to provide jobs to them since very little is contributed economically.Socially, the groups challenge a country to provide enough schools and social programs for them.Socially, the groups challenge the people that fall between the two age groups to provide recreational programs. 9. A body is a particular amount of matter. It can be a solid, liquid or gas. It can bedescribed as existing inO A. size and shape.O B. time and space.C. motion and force.O D. location and movement.ou fill be highlighted on the review page) What might a concept include along with a brief written description of the product? the purpose of the gramm-leach-bliley act ___________________ is to fight identity theft. What is an egalitarian society? what kinds of social factors/characteristics are linked to egalitarianism? what are some examples of egalitarian societies discussed in chapter 9? how would our social relationships be different if we were part of an egalitarian society? 200 own words. That something unique that your business should have that which other businesses do not have Trent is researching what it would take to become a pharmaceutical scientist. What academic requirements should he complete?A. an associates degreeB. on-the-job trainingC. technical schoolD. a doctorate degreeE. a bachelors de Moving molecules from low to highconcentration requires energy.This is the opposite of diffusion.What is this process called? (a)Identify the relevant population for the below foci, and suggest the appropriate samplingdesign to investigate the issues, explaining why they aare appropriate. Wherever necessaryidentify the sampling frame as well. A public relations research department wants to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink The 225 g FeCl2 is about 1.8 moles.What is the molar concentration ofthe solution if the total volume is450 mL? Monique had been doing a great job working on her personal fitness. She was walking with friends and had found a few yoga classes that worked well with her schedule. Then she started a very difficult class and got behind in her schoolwork and was not able to keep up with her exercise. What is the BEST advice for Monique?