Which function is equivalent to g(x)= x2 +11x-60?

Answers

Answer 1
Answer:
g(x) = x^2 + 11x - 60
(a=1, b=11, c=-60)
To solve this quadratic equation we need to find the discriminant:
discriminant= b^2 - 4ac
= (11)^2 - 4(1)(-60)
=121 - (-240) = 121+240 =361
(if discriminant<0 then equation has no real root
if discriminant=0 then equation has 1 real root
if discriminant>0 then equation has 2 real roots)
Here we have discriminant=361>0 so we have 2 real roots:
x1=(-b-redical discriminant) / 2a
and x2=(-b+redical discriminant) / 2a
x1= (-11-redical(361)) / 2(1)
=-15
x2= (-11+redical(361)) / 2(1)
=4
So we get the two roots x= -15 and x= 4
To write the quation in factorized form:
x= -15 means that x+15=0
x= 4 means that x-4=0
Therefore g(x)= (x+15)(x-4)
D is the correct answer
HOPE THIS HELPS :)


Related Questions

Help please please!!!!!

Answers

Answer:

7/8 inch

Step-by-step explanation:

Convert 1 1/4 to improper fraction.

1 1/4 4/4 + 1/45/4

Convert 5/4 to a fraction with a denominator of 8.

5/45/4 x 2/210/8

Subtract 3/8 from 10/8

10/8 - 3/87/8 inch

Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS not risking a virus

Answers

v is the center :)

U is the radius

And the other line is the diameter

Two methods to measure one's heart rate are:
A. Palpitation and monitor
B. None apply
C. Monitor and EKG
D. Palpitation and pulse rate

Answers

Answer:

C. Monitor and EKG

D. Palpitation and pulse rate

Explanation:

Correct me if I'm wrong:)

Fill in the missing numbers to complete the linear equation that gives the rule for this table.
х y
2 -36
3 -33
4 -30
5 -27

Y= ___x - ___

Answers

Answer:

y = 3x - 42

Step-by-step explanation:

The equation of a line if y = mx + cFirst, choose two of the x values with their respective y valuesI’ll choose 2 & -36 and 3 & -33We need to find the gradient of this line (which is the m in y = mx + c)We can do this by finding the difference in the y values and divide this by the difference in the x valuesSo this would be [tex]\frac{-33--36}{3-2} = \frac{3}{1}=3[/tex]So far we have y = 3x + cUsing one of the x values and their respective y value, substitute these values into the formulaI’ll choose 4 & -30-30 = 3 × 4 + c-30 = 12 + cc = -30 - 12 = -42So the equation is y = 3x - 42!

Use the drop-down menu to complete the statement. What is 3 ÷ 2 5 ? To find the quotient, jump groups of . A number line going from 0 to 3. Numbers 0, 1, 2, and 3 are marked on the line. Marks divide the spaces between each number into 5 equal parts.

Answers

2/5 on edge

Yw and pls mark me brainiest :D

help me please :c :C

Answers

Answer:

214 square inch is the area of the figure

Help but pls explain you thought​

Answers

What’s the question here?
I’m confused as to what we’re supposed to do with the information?

PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE BRAINLESS TO THE FIRST CORRECT PERSON!!!
Find the value of x. Write your answer in the simplest form.

Answers

Answer:

9[tex]\sqrt{2}[/tex]/2

Step-by-step explanation:

Since this is a right triangle designated by the square box in the right side, we know 2 of the angles. 45 and 90. Add these 2 angles and subract them from 180 which turns out to be 45.

We can use the law of sines to solve.

sin90/9 = sin45/x

x = 9sin45 = 6.36 = 9[tex]\sqrt{2}[/tex]/2

Help help help help

Answers

Answer: 1

Step-by-step explanation:

We can start by dividing both sides by 5. This gives us

[tex]6 + s = 7[/tex]

Subtracting 6 from both sides gives us

[tex]s = 7-6=1[/tex]

To check, we can put 1 back in the equation:

[tex]5(6+1) = 35[/tex]

[tex]5(7) = 35[/tex]

Since 5 * 7 is 35, 1 is the answer.

A bag with 10 marbles has 2 yellow marbles, 4 blue marbles, and 4 red marbles. What is the probabillity that it chosen at random and is yellow?

Answers

Answer:

1/5 = 0.2 = 20%

Step-by-step explanation:

Given:

Yellow marbles = 2Blue marbles = 4Red marbles = 4Total marbles = 10

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(yellow) = \dfrac{2}{10}=\dfrac15[/tex]

This can also be written as 0.2 or 20%

Answer:

[tex]Probability=0.2[/tex]

Step-by-step explanation:

Step 1:  List the given information

[tex]Total\ Marbles = 10[/tex]

[tex]Yellow\ Marbles = 2[/tex]

[tex]Blue\ Marbles = 4[/tex]

[tex]Red\ Marbles = 4[/tex]

Step 2:  Determine the probability of choosing yellow

[tex]Probability=\frac{Yellow\ Marbles}{Total\ Marbles}[/tex]

[tex]Probability=\frac{2}{10}[/tex]

[tex]Probability=\frac{1}{5}[/tex]

[tex]Probability=0.2[/tex]

Answer:  [tex]Probability=0.2[/tex]

5. How far can a person run in 15 minutes if he or she runs at an
average speed of 16 km/ty? (HINT: Remember to convert minutes to
hours.)

Answers

Speed=16km/hTime=15min=1/4h

Now

Distance=Speed ×TimeDistance=16(1/4)Distance=4km

Answer:

4 km

Step-by-step explanation:

Question

How far can a person run in 15 minutes if he or she runs at an average speed of 16 km/h?

Solution

1 hours = 60 minutes

[tex]\implies \sf 16 km/h = \dfrac{16\:km/h}{60\:min}=\dfrac{4}{15} km/min[/tex]

If the person runs for 15 minutes, then:

[tex]\implies \sf total\:distance\:run=\dfrac{4}{15}\:km/min \times 15\:min=4\:km[/tex]

Can someone help me please

Answers

I recommend using guathmath

The area of a rectangle is 45 square inches. One dimension is 5 inches. What is the perimeter

Answers

Answer:

28 inches

Step-by-step explanation:

To begin, the area of a rectangle is base · height. Since we are given one of the sides already, you can make an equation to solve for the other value.

5 · x = 45

5x = 45

x = 9

A rectangle has two pairs of parallel sides, or in easier terms, two sets of sides that are the same. So, the perimeter is going to be two lengths plus two widths.

2 · 5 + 9 · 2 = 10 + 14 = 28

When the shadow of a flagpole is 36 m long, a 1.8-m fencepost casts a shadow that is 3 m long. How tall is the flagpole?

Answers

Answer:

21.6 m long

Step-by-step explanation:

To do this, we find the scale factor of the fencepost and the shadow.

3/1.8 = 1.66666667

So, we know that when we take the original length and multiply it, we get the new one, so:

1.666666667 * x = 36

x being the original length. Now, we divide both sides by 1.66666667 to get x alone and find the original length.

x = 21.6

To double check, we can take the scale factor and multiply it by the original to get the shadow.

21.6 * 1.666666667 = 36

It is correct

The tub started with
gallons of water.

Answers

Okay? How am I supposed to help here

Enter the correct answer in the box.
Write the expression (x4)8 in simplest form.

Answers

Answer:

x³²

Step-by-step explanation:

When raising exponents to another power, multiply the exponents given.

That means that:

(x⁴)⁸ = x⁽⁴⁾⁽⁸⁾ = x³²

Question is in the image

Answers

Answer:

16%

Step-by-step explanation:

4 people like rock

and there are 25 ppl all together

4/25=0.16

16%


Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal
places.
95% confidence; the sample size is 10,000, of which 40% are successes
0.0096
0.0126
0.0072
0.0110
Ik The answer is 0.0096 but don’t know how to get that. Would someone show steps?

Answers

Just put 0.0096 in the ansewr bar

The entire band decides to have a concert to raise the money for the trip. TIckets
for the concert will cost $7.50 each. A local business agrees to donate an ado tonal
$0.50 for each $1.00 in ticket sales to the band for their trip.
What is the least number of concert tickets the band must sell in order to raise te
rest of the money needed for the trip?

Answers

Answer:

yeah so you a g my guy

Step-by-step explanation:

2 out of 5 bought pizza there were 30 students in total how many students did not get pizza as a ratio

Answers

Answer:

75%

Step-by-step explanation:

graph the linear equation -x+2y=2

Answers

The graph of the given linear equation, y = 1/2x + 1 (-x+2y=2), is given in the diagram attached below.

What is the Graph of a Linear Equation?

The graph of a linear equation is a straight line graph, and it is represented, in slope-intercept form as, y = mx + b, where m is the slope and b is the y-intercept of the graph.

Given the linear equation, -x+2y=2, rewrite in slope-intercept form:

-x+2y=2

2y = x + 2

y = x/2 + 2/2

y = 1/2x + 1

Thus, the graph of the linear equation is drawn as shown in the image attached below.

Learn more aboyt linear graph on:

https://brainly.com/question/14323743

A cylinder has a volume of 100π cubic meters.
a. What is the volume of the cylinder if the height is halved? Explain
b. What is the volume of the cylinder if the diameter is halved? Explain

Answers

Answer:

a) V/2 ; b) V/4

Step-by-step explanation:

a) V = πR²h

If h --> h/2 the new volume V' = πR²h/2 = V / 2

b) πR²h

If D --> D/2 then R --> R/2 and the new volume V" = π(R/2)²h = π(R)²h/4 = V/4

Select the correct answer.
Simplify the following expression.

Answers

Answer:

A. 1/49, or 0.02040

Convert the following functions.

Convert the exponential function,
12^3=x^4 y^3 z^6

, to its corresponding logarithmic function.

Write the log form from Part A into the expanded log form. **expression must be fully expanded for

Answers

The logarithmic function is the inverse of the exponential function

The logarithmic equivalent of the exponential function is log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)

How to convert the function?

The exponential function is given as:

12^3=x^4 y^3 z^6

Take the logarithm of both sides

log(12^3) =log(x^4 y^3 z^6)

Apply the product rule of logarithm

log(12^3) =log(x^4) + log(y^3) + log(z^6)

Apply the power rule of logarithm

3log(12) = 4log(x) + 3log(y) + 6log(z)

Divide through by 3

log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)

Hence, the logarithmic equivalent of the exponential function is log(12) = [tex]\frac 43[/tex]log(x) + log(y) + 2log(z)

Read more about logarithms and exponential functions at:

https://brainly.com/question/7988782

What is the maximum number of 1 cubic centimeter cubes you can fit into a box with a volume of 32 cubic centimeters?​

Answers

The maximum number of 1 cubic centimeter cubes that will fit into a box with a volume of 32 cm³ is: 32 cubes.

What is the Volume of a Cube?

The volume of a cube = s³, where s is the edge length of the cube.

Given the following:

Volume of 1 cube = 1 cubic centimeters

Box volume = 32 cubic centimeters

Number of cubes that will fit into the box = 32/1 = 32 cubes.

Learn more about volume of cube on:

https://brainly.com/question/1972490

when using a graph you must look at all dots? given information,? or pages

Answers

Answer:

The dots are used for dot plots, and the given Information Is to help you understand the % or number of people and things etc.

The value of x + x(x^x) when x = 2 is:
(a) 10,
(b) 16
(c) 18,
(d) 36,
(e) 64​

Answers

to find:

the value of x + x(x^x) when x = 2.

solution:

x + x(x^x)

by putting the value of x = 2 in the above expression we get:

2 + 2(2^2)

= 2 + 2(2 × 2)

= 2 + 2(4)

= 2 + 8

= 10

therefore, the value of x + x(x^x) when x = 2 is 10.

answer= option a

Answer is option a) = 10

have a great day

hope this helps

Perfomance task pre-cal
Part 1: Determine the limits of a function given a graph

Answers

The value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.

What is the limit?

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have a graph of a function:

For [tex]\lim_{x \to -1^{-1}} f(x)[/tex]

As we can see x approaches -1 and it is a left-hand limit.

[tex]\lim_{x \to -1^{-1}} f(x) = 3[/tex]

For [tex]\lim_{x \to -1^{+1}} f(x)[/tex]

The x approaches the +1 and it is the right-hand limit.

[tex]\lim_{x \to -1^{+1}} f(x) = -1[/tex]

For [tex]\lim_{x \to -1} f(x)[/tex]

Since the left hand and right-hand limits are not the same,

[tex]\lim_{x \to -1^{+1}} f(x)[/tex]  = does not exist

From the graph:

f(-1) = 3

Similarly, we can find further values of the limits and functions value:

[tex]\lim_{x \to 2^{-1}} f(x) = 1[/tex]

[tex]\lim_{x \to 2^{+1}} f(x) = 2[/tex]

For [tex]\lim_{x \to 2^{}} f(x)[/tex]

Since the left hand and right-hand limits are not the same,

[tex]\lim_{x \to 2^{}} f(x)[/tex] = does not exist

f(2) = 2

[tex]\lim_{x \to -\infty} f(x) = +\infty[/tex]

[tex]\lim_{x \to +\infty} f(x) = -\infty[/tex]

There are three conditions a graph must follow:

1) function value defined at any given point.

2) left-hand limit and right-hand limit must be equal

3) function value at the point and limit value at the same point must be the same.

In the given function the graph doesn't follow these conditions and its jump continuity.

Thus, the value of limits and function values for a, b, c, d, e, f, g, h, i, and j are 3, -1, does not exist, 3, 1, 2, does not exist, 2 +∞, and -∞ and doesn't follow continuity conditions and its jump continuity.

Learn more about the limit here:

https://brainly.com/question/8533149

#SPJ1

which graphed line represents an equation of a line with a slope of -2 and a point of line of (-1, 2)

A red line
B blue line
C green line
D purple line

Answers

Answer:

D

Step-by-step explanation:

by looking at the point you can see what has a slope.

it is also a decreasing slope

HELP EEEEEEEK….. please

Answers

Answer:

5

Step-by-step explanation:

If it is 18 roses for 90 dollars, what is one rose worth?

90 dollars/18 roses=5 dollar per rose

Other Questions
AP Modern World History Chapter 124 Multiple Choice questions 4-6 Read the two excerpts."Remembering to Never Forget: Dominican Republic's 'Parsley Massacre by Mark Memmott:Seventy-five years ago, thousands of Haitians were murdered in the Dominican Republic by a brutal dictator. It was one of the 20th Century's least-remembered acts of genocide.As many as 20,000 people are thought to have been killed on orders given by Rafael Trujillo. But the "parsley massacre went mostly unnoticed outside Hispaniola. Even there, many Dominicans never knew about what happened in early October 1937. They were kept in the dark by Trujillo's henchmen."A Genetics of Justice by Julia Alvarez:At this point I would always ask her why she and my father had returned to live in the country if they knew the dictatorship was so bad. And that's when my mother would tell me how, under pressure from his friends up north, Trujillo pretended to be liberalizing his regime. How he invited all exiles back to form political parties. How he announced that he would not be running in the next elections. My father had returned only to discover that the liberalization was a hoax staged so that the regime could keep the goodwill and dollars of the United States.My father and mother were once again trapped in a police state.How do the passages work together to develop a central idea?The passages show how Alvarezs family was affected by the parsley massacres when they returned.The passages show how Alvarez and her family were tricked into returning to the Dominican Republic.The passages show how people often did not know or understand the extent of Trujillos deceit.The passages show how the events of Trujillos dictatorship are still not fully understood today. In which country is it illegal to mow your lawn, hang your laundry, or recycle on sundays?. A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram. ring toss toyWhat is the volume of the rectangular prism in cubic centimeters? Question 10 options: A. 29 cm3 B. 480 cm3 C. 208 cm3 D. 90 cm3 2. True or false? You can only use graphing find the solution to a system of equations if allthe equations are linear.TrueFalse compare the age of sea-floor rock near mid-ocean ridges and near trenches. Cite evidence to explain these patterns. I want you to know the purpose of K. A. U. It is the biggest purpose the African has. It involves every African in Kenya and it is their mouthpiece which asks for freedom. K. A. U. Is you and you are the K. A. U. If we unite now, each and every one of us, and each tribe to another, we will cause the implementation in this country of that which the European calls democracy. True democracy has no colour distinction. It does not choose between black and white. We are here in this tremendous gathering under the K. A. U. Flag to find which road leads us from darkness into democracy. What does Jomo Kenyatta argue is the main goal of the KAU?to separate among color and ethnic groups in order to achieve freedomto establish freedom and democracy in Kenyato establish Kenya and model it after Europe economically and politicallyto build Kenya as a socialist economy having the government in control of production Which choice describes what may happen if a predator species disappears from an ecosystem?uncontrolled growth of pest speciesO growth in population of all other speciesO prey species disappears as wellgradual return of predator species Solve the right triangle. Round your answers to the nearest tenth What is the value of xin the figure below?B5D9O A. V126B. 45O C. 70D. 14O E.914O F. 145 1. How does artist Robert Mangold use the elements of art in his practice? Explain. Consider the following diagram that displays a map of a set of circular running tracks in a park connected by a sidewalk that goes from point a on the circle that represents the outer track to the center of all the circles, k more in the photo please help! How many trophic levels are you eating when you eat a pizza?. Solve the following please: Projects ___ when every trade is not on the same page on everything from scheduling to installations. Can someone help me please!! 2 (y+5) +3y=25 I need to try to get th3 variable by itself The israelite transition from henotheism to monotheism took over 200 years. Vital records, such as birth and death certificates, are considered what type of information source?TertiaryPrimarySecondary Which statement is most likely to be true? the scores of mrs. scotts class are the closest to the class mean. the scores of mr. phans class are the closest to the class mean. the scores of mrs. joness class are the closest to the class mean. the scores of mrs. rijos class are the closest to the class mean.