Given the following function: y=x^2+10x+25 Using your knowledge of discriminants, how many solutions does this function have?

Answers

Answer 1

Answer:

One solution

Step-by-step explanation:

Given function:

y = x² + 10x + 25

This is a quadratic function.  

A quadratic equation has:

Two solutions if discriminant is positive;One solution if discriminant is zero;No solution if discriminant is negative

Find the discriminant of the given function:

D = b² - 4ac = 10² - 4*1*25 = 100 - 100 = 0

This function has one solution since its discriminant is zero.

Answer 2

Answer:

one real solution

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given function:

[tex]y=x^2+10x+25[/tex]

Therefore:

[tex]a = 1[/tex][tex]b = 10[/tex][tex]c = 25[/tex]

Substitute the given values into the discriminant:

[tex]\implies 10^2-4(1)(25)=0[/tex]

As the discriminant equals zero, there is one real solution.


Related Questions

1 pound is equivalent to ____ grams.

Answers

Answer:

1 pound is equivalent to 453.59237 Grams.

let's answer it :3

answer

-> ( 453.59237 grams )

hope it helps

by

#galadohannadivine29

answer the question below, will give brainliest to first answer

Answers

Answer:

deductive reasoning

Step-by-step explanation:

it is based on what is true based on what happened before

Answer:

2 option, deductive reasoning

Step-by-step explanation:

based on true events

x² + 8x = 10 solve this quadratic equation by completing the square

Answers

X = -4 plus or minus radical 26. Steps and answer are in picture

I need help with area

The question 5 and 6

Answers

in order to find a triangle's area use the following formula:
hb/2 where h is height and b is base so
5: (5.4)(8.5)/2=22.95 yds
6: (5.1)(8.6)/2=21.93 ft

Joshua has a ladder that is 15 feet long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 feet above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78 degrees. Will the ladder be safe at this height? Show your work and label the diagram

Answers

Answer:



Step-by-step explanation:

Which statements correctly describe the fraction bar diagram shown at left? Check all that apply.

A fraction bar labeled 1 whole divided into 7 parts. 1 part is shaded.
The unshaded portion of the fraction bar represents a unit fraction.
Each part of the whole fraction bar is equal to one-seventh.
The shaded portion of the fraction bar represents a unit fraction.
The shaded portion of the fraction bar represents .
Each part represents a unit fraction.

Answers

The statements that describe the fraction bar diagram shown are:

B. Each part of the whole fraction bar is equal to one-seventh.

C. The shaded portion of the fraction bar represents a unit fraction.

E. Each part represents a unit fraction.

What is a fraction bar?

A fraction bar is a visual representation of fractions that helps in comparing fractions and carrying out operations with fractions.

Here,  each part of the whole fraction bar is equal to one-seventh, the shaded portion of the fraction bar represents a unit fraction, and each part represents a unit fraction.

Learn more about fraction on:

https://brainly.com/question/78672

#SPJ1

A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting a tree or a flower?
Express the Probability as a reduced fraction

Answers

The probability of randomly selecting a tree or a flower is 8/15.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of randomly selecting a tree or a flower = (number of trees / total number of flash cards) + (number of flowers / total number of flash cards)

8/30 + 8/30 = 16/30  = 8/15

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Omar keeps track of the number of people inside a music hall to attend a concert by
looking at the number of scanned tickets. He plotted the data on the graph below,
where z 0 represents the time at 6 p.m., then drew a line of best fit. If we extended
the line, what would the value of y tell us when x= 3

Answers

Answer:

Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/

A. The graph is translated 2units down.
B. The graph is translated 2 units left.
C. The graph is translated 2 units right.
D. The graph is translated 2 units up.

Answers

Answer:

c

Step-by-step explanation:

the -2 causes a shift 2 units right

Find the y-value when x = -5 for the equation y = -3x

Answers

Answer:

y=15 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

f(-2)for the function f(x)=3x-1

Answers

Step-by-step explanation:

From what I know

3x-1=0

3*(-2)-1=0

-6-1=0

=-7.

I'm not sure but u can try it.

The value of f(-2) in this function is f(-2) = -7

To solve this expression, just replace 'x' with -2. When the expression is ready, let's calculate it.

First we multiply or divide, then add or subtract.

Resolution

f( x ) = 3x - 1

f(-2) = 3 · (-2) - 1

f(-2) = -6 - 1

f(-2) = -7

So, the alternative value is f(-2) = -7

What is the sign of m/n X (-m X n squared )

positive

Negative

zero

Answers

Step-by-step explanation:

mx=n

⟹x=mn

Since m and n are both negative, x=mn will be positive.

Hence, the solution of mx=n will be a positive number.

other sulotion :-

can someone help me with this problem? thank you!

Answers

Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

Answer:

x is 2

Step-by-step explanation:

Simplify equation

What happens to one side must happen to the other

Add 4 to both sides

This tells us 6x is 12

Divide both sides by 6

X is 2

A square has a perimeter of 64 yd. What is the length of each side?

Answers

[tex]\huge\sf\color{red}{Answer:}[/tex]

Formula:

To get the length of each side just divide it by 4.

Lets solve : )

64 ÷ 4 = 16.

So the answer would be [tex]\large\sf\color{red}{16}[/tex]

If Q, DE=FG. Which must be true? Select all that apply.

Answers

Answer:

A and E

Step-by-step explanation:

A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.

but this does not tell us anything about EF.

E and F could be very close together or far apart, and still DE = FG can be true in either case.

and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.

brainiestI WILL GIVE BRAINLIEST look at the right angled triangle abc
the square fits exactly inside the triangle
work out the sizes of angles x y and z

Answers

Answer:

x = 90°

y = 40°

z = 40°

Explanation (Concepts) :

A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.

Workouts:

z + 90° + 50° = 180°

z = 180° - 90° - 50°

z = 40°

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

x + 90° = 180°

x = 180° - 90°

x = 90°

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

50° + 90° + y = 180°

y = 180° - 90° - 50°

y = 40°

Answer:

x = 90°y = 40°z = 40°

Step-by-step explanation:

x = 90°

…………………

y = 90 - 50

  = 40°

……………………………

z = 180 - (50 + 90)

  = 180 - 140

  = 40°

I will give brainliest! 40 points!
ling wants to determine the average distance she travels each day in her car. she records the odometer reading, which measures the distance the car has traveled, each morning for a week.

day 1 2 3 4 5 6 7
odometer (mi) 10,150 10,211 10,424 10,769 10,884 11,155 11,477

what is the mean distance ling travels each day? show your work.

Answers

Answer:

221.16

Step-by-step explanation:

Find the difference between each day. Add all the differences together, then divide that number by 6 (the number of differences) to find the mean.

Answer:

189.57 miles per day.

Step-by-step explanation:

I took the test

no solution, one solution, or infinitely many solutions?

Answers

8v + 3 -4v = 4v + 5 -3 has infinitely many solutions

7v - 11 = 7v + 11 has no solution

3(v-4) = 2(v-6) has one solution

5(2v+3) - 2 = 12v + 12 -2v has no solution

When does an equation have one solution, no solution or infinitely many solutions?

A linear equation is said to have infinitely many solution when the variable term and the constant term are the same on both sides of the equation.

A linear equation is said to have no solution, if the coefficient of the variable term is zero and the constant term a non-zero term

A linear equation is said to have one solution if the coefficient of both the constant term and the variable terms are no zero.

Analysis:

8v + 3 -4v = 4v + 5-2

4v +3 = 4v+3

The equation has an infinitely many solutions

7v-11 = 7v+11

7v-7v = 11+11

0v = 22

The equation has no solution since the coefficient of the variable term is 0

3(v-4) = 2(v-6)

3v -12 = 2v - 12

v = 12-12 = 0

The equation has one solution

5(2v+3) -2 = 12v + 12-2v

10v+15-2 = 10v +12

0v = -1

The equation has no solution.

In conclusion,

8v + 3 -4v = 4v + 5 -3 has infinitely many solutions

7v - 11 = 7v + 11 has no solution

3(v-4) = 2(v-6) has one solution

5(2v+3) - 2 = 12v + 12 -2v has no solution

Learn more about equations with infinitely many solutions: brainly.com/question/11695252

#SPJ1

Use the diagram to answer the question

Answers

Step-by-step explanation:

cos(a) = 1/2 or 0.5

that means a = 60°

the cosine value is the x coordinate, the sine value the y coordinate.

so, only an answer with 1/2 as x coordinate can be right.

and therefore, the 4th answer (bottom right) is correct.

Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she
went straight to the end of the hike.
Y
end
scenic lookout
5 6 7
1
765
4
6+
5+
432
23
-2+
-3+
-4+
-5+
67
7-6-5-4-3-2
Maria
Coordinate values on the map are in kilometers.
1
1
N
HE

Answers

Based on the distance to the end of the hike and the distance to the scenic lookout, we can calculate that the straight route is 2 km shorter than the scenic lookout route.

Which route is shorter for Maria?

If Maria took the straight route to the end of the Hike from the coordinates, (4, -4) to (-5, 5), she would have to walk 13 km.

If she went the scenic lookout route, she would have to first go to (2,3) before going to (-5,5) which is 15 km.

The difference is:

= 15 - 13

= 2 km

A more readable version of the question is:
Maria is on a hike. If she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike.

3 connected points on a coordinate plane. The point labeled, "Maria," is at 4, -4. The point labeled, "end," is at -5, 5.

A solid line connect the points "Maria" and "end." The point labeled, "scenic lookout," is at 2, 3. Dashed lines connect "Maria" to "scenic lookout" and connect "scenic lookout" to "end."

Find out more calculations involving the shorter distance at https://brainly.com/question/19544173.

#SPJ1

Answer:

2KM

Step-by-step explanation:

what type of parent function is f(x) = |x|

Answers

Answer: Absolute value function

The type of parent function is f(x)= |x| is Absolute valued function

What is Absolute valued function?

An absolute value function is a function that contains an algebraic expression within absolute value symbols.

Given function:

f(x)= |x|

As, we know the modulus generally give the absolute value of any function and also the modulus always give the positive value.

The above property perfectly resemble the absolute valued function.

Learn more about absolute valued function here:

brainly.com/question/18405415

#SPJ1

What is the mean, median, and mode for this set of data:24, 20, 26, 24, 21?

Answers

20 is mean 24 is the median and 21 is mode

Answer:

Mean = 23

Median = 24

Mode = 24

Step-by-step explanation:

Mean:  The sum of all data values divided by the total number of data values.

Mean = (24 + 20 + 26 + 24 + 21) ÷ 5 = 23

Median:  The middle value when all data values are placed in order of size.

Ordered data values:  20, 21, 24, 24, 26

Median = 24

Mode:  The most frequently occurring data value.

20, 21, 24, 24, 26

Mode = 24

Can someone help with number 4. I will reward brainliest.

Answers

Answer:

theta = pi/6 and

theta = 5pi/6

Step-by-step explanation:

see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.

Let's simplify the problem down a little:

 ⇒ set 'sin(θ)' as x

    ⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]

Now let's solve this equation as a quadratic:

 [tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]

Now set the x value of '1/2', to sin(θ)

it can't be -3, because trig functions can't equal a negative number

         sin(θ) = 1/2

            θ = π/6, which is between the range given

Answer: π/6

Hope that helps!

Please Help! The value of x is:

Answers

Answer:

9

Step-by-step explanation:

5*x=15

X=3

3*3=9

[tex]\\ \rm\dashrightarrow \dfrac{5}{3}=\dfrac{15}{x}[/tex]

[tex]\\ \rm\dashrightarrow 5x=45[/tex]

[tex]\\ \rm\dashrightarrow x=\dfrac{45}{5}[/tex]

[tex]\\ \rm\dashrightarrow x=9[/tex}

Find the LCM of 3, 7, 10​

Answers

LCM of 3,7,10 is 210
Explanation=
3|3,7,10
7|1,7,10
2 |1, 1,10
5|1, 1, 5
| 1, 1, 1

LCM of 3,7,10= 3x7x2x5
=21x10
=210 ans

Class A has 26 pupils and class B has 14 both classes sit the same maths test . The mean score for class A is 66 the mean score for both classes is 66. What is the mean score in maths test for class B

Answers

Answer:

66

Step-by-step explanation:

this is actually an almost trick question because it wants to confuse you!

Here's the trick

to work out a mean (average) you add all the components together then divide by the amount of groups.

but here they didn't give you components just the mean of the classes...both of them.

the question says "The mean fpor class A is 66, the mean score for BOTH classes is 66"

so this means that Class B's mean score is 66 too

hope this helps

What is the Product?

Answers

The given,matrix is [1  -4  5  -7] Thus, the correct option is A [3  -12  15  -21].

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The given, a matrix is

[1  -4  5  -7]

The product will be

3. [1  -4  5  -7]

[3  -12  15  -21]

Thus, the correct option is A [3  -12  15  -21].

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ1

Line segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that partitions it into the segments pq and qr in the ratio 4:5.

Answers

[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]

[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]

The measure of angle Q is 70 degrees. Find the measure of angle p

Please answer quick please! 30 points

Answers

The measure of the angle p will be 100 degrees because it’s higher then angle W

Two socks are selected at random from a draw of loose socks- there are 4 green socks and 6 yellow socks


What is the probability that two of the socks will both be green if the socks are drawn without replacement

Answers

Using the hypergeometric distribution, it is found that there is a 0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

In this problem, we have that the values of the parameters are:

N = 10, k = 4, n = 2.

The probability that both are green is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,10,2,4) = \frac{C_{4,2}C_{6,0}}{C_{10,2}} = 0.1333[/tex]

0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.

More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394

#SPJ1

Other Questions
Resources needed to provide goods or services are called Health Can gum, bottled water, and pizza bagels really be labeled "healthy"? BIdentifying Mood in "Sea Fever"Try itI must go down to the seas again, to the lonely sea andthe sky,And all I ask is a'tall ship and a star to steer her by;And the wheel's kick and the wind's song and the whitesail's shaking,And a grey mist on the sea's face, and a grey dawnbreaking,I must go down to the seas again, for the call of therunning tideIs a wild call and a clear call that may not be denied;And all I ask is a windy day with the white clouds flying,And the flung spray and the blown spume, and the sea-gulls crying.I must go down to the seas again to the vagrant gypsy life to the gulls way and the whales way where the winds like the whetted knife and all I ask is a merry yarn from a laughing fellow-rover, and a quiet sleep and a sweet dream when the long tricks over Read the poem, then use the drop-down menus toidentify the mood of each stanza.The mood of the first stanza isThe mood of the second stanza isThe mood of the third stanza is *URGENT* In what order should the sentences be arranged to make a logical literary argument?1. Nevertheless, some may arguethat the disloyalty Brutus showsto his friend Caesar diminisheshis character.2. For example, Brutus explains thatit was Not that I loved Caesarless, but that I loved Rome more.Therefore, although Brutus feelsbadly about betraying his friend,he knows it was the rightthing to do.3. Brutus is a character whosymbolizes loyalty because ofhis overall commitment to Rome.4. In William Shakespeares playJulius Caesar, Roman nobles,including Caesars friend Brutus,plot against Caesar.5. However, Brutuss goal ofsupporting the common good forhis country justifies his actions. The amount of direct stafford loans that a student may receive each year is based on his or her: a. high school transcript. b. estimated family contribution (efc). c. high school gpa. d. 4caster report What is the one small catch with password managers?. Someone pls help me ASAP! Express the following as the sum of its partial fraction: 2x+4/x(x+2)(x-4)[tex] \frac{2x + 4}{(x + 2)(x - 4)} [/tex] A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park.What is the best way to randomly choose these 500 people? On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. What is the probability that Erin will not have a heart attack and the test predicts that she will?A. 0.099B. 0.201C. 0.231D. 0.469 What is modernization? Read this excerpt from "Heads Up on Sports Safety."Before modern helmets, in 1904, the Chicago Tribunereported 18 football deaths and 159 serious injuries-in that one year alone. Because the game was lawlessand lacking in safety equipment, football was a brutal,deadly sport.Why does the author include a report from the ChicagoTribune?It is an opinion piece that shows how times havechanged.It is an additional resource that provides historicalfacts.It is a supporting argument about safety from adifferent author.It is an argument against the author's idea thatfootball was dangerous. Professor Hopkins is grading the final exam. She notices that themean test score is 71, and the standard deviation is 6. The testscores were normally distributed.If there were 300 students in the data sample, how many wouldhave a test score between 71 and 83?**Round your answer to the nearest whole value.students is (0,0) a solution to this system? y x^2 + x - 4 y < x^2 + 2x + 1 Tom is sitting facing forward in the train as it is getting ready to leave the station. He puts a smooth ball on the train floor. The train jolts into motion, accelerating rapidly up to speed. According to Newton's first law of motion, what happens to the ball? (1 point)A) Nothing changes.B) The ball rolls forward slowly.C) The ball rolls forward rapidly.D) The ball rolls backward. What did Social Darwinists see as evils in society? How did they propose to fix those social evils Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. A line contains the points (3, 2) and (6, 0). What is the equation of the line?Ay = 3x + 2By = 2x - 2C y = -2x+3D2/3x+4 Stating the consequences of drug use is a resistance strategy that can involveA. explaining why the drug is harmful for youB. explaining possible negative side effects of the drugC. explaining how your life might negatively change if you began taking the drugD. all of the abovePlease select the best answer from the choices provided.AB0000 When acknowledging a counterclaim in an argument essay, you must _[blank]_. Which two answers best complete the statement?:thoroughly explain your personal biases state that nobody actually believes in the counterclaim include evidence to support the counterclaim ensure that the counterclaim is relevant to your claim What can happen to individuals who provide for themselves through farming, fishing, or hunting, and who barter and trade in low-income and middle-income countries