24. One solution of the equation
2x2 - 7x+k=0 is x =-1. Find the value of k.
2​

24. One Solution Of The Equation2x2 - 7x+k=0 Is X =-1. Find The Value Of K.2

Answers

Answer 1

Answer:

this is the correct solution for your question

24. One Solution Of The Equation2x2 - 7x+k=0 Is X =-1. Find The Value Of K.2
Answer 2

Answer:

The value of k is -4.

Step-by-step explanation:

In order to find the value of k, you have to substitite x = -1/2 into the equation :

[tex]2 {x}^{2} - 7x + k = 0[/tex]

[tex]let \: x = - \frac{1}{2} [/tex]

[tex]2 {( - \frac{1}{2} )}^{2} - 7( - \frac{1}{2} ) + k = 0[/tex]

[tex]2( \frac{1}{4} ) + \frac{7}{2} + k = 0[/tex]

[tex] \frac{1}{2} + \frac{7}{2} + k = 0[/tex]

[tex]4 + k = 0[/tex]

[tex]k = - 4[/tex]


Related Questions

Find the slope:

(1,3) (4,9)

Answers

Answer:

m =2

Step-by-step explanation:

slope formula is m= y2-y1/x2-x1

m= 9-3/4-1

m= 6/3

m= 2

Answer:

I think its 2,7

Step-by-step explanation:

WILL GIVE BRAINLIEST TO 1st ANSWER PLEASE HELP!



Which set of pairs is linear and non-linear


1. (2,1), (3,4), (5,6), (2, 7)


2 (3,1), (−3, 1), (0,1), (5,1)


3 (1,1), (2,2), (3,3), (4,4)


4. (4,1), (6, 7), (8, 9), (4,7)


(2,4), (2,5), (2,6), (2,8)

Answers

Answer: 1. Not linear. 2. Linear. 3. Linear 4. Not Linear. 5. Linear.

Step-by-step explanation:

Find the equivalent expression for (x+7)(x+1)

Answers

Answer:

x^2 + 8x + 7

Step-by-step explanation:

We can see this expression as two distributive property expressions:

(x+7)(x+1) = x(x+1) + 7(x+1)

We can then expand and combine like terms:

(x^2 + x) + (7x + 7) = x^2 + 8x + 7

We have our final answer. I hope this helps! :)

If you apply these changes to the linear parent function, f(x)=x, what is the equation of the new function? Vertically compress by a factor of 4. Reflect over the x-axis . A. G(x) = 4 - x B. G(x) = - 1/4 * x C. G(x) = 1/4 * x D. G(x) = - 4x

Answers

Given:

The linear parent function, f(x)=x is vertically compressed by a factor of 4 and reflected over the x-axis.

To find:

The new function.

Solution:

The vertical stretch and compression is defined as

[tex]g(x)=kf(x)[/tex]

If k>1, then f(x) vertically stretched by factor k and if 0<k<1, then f(x) vertically compresses by factor [tex]\dfrac{1}{k}[/tex].

In the given problem, linear parent function, f(x)=x is vertically compressed by a factor of 4. So, [tex]k=\dfrac{1}{4}.[/tex]

[tex]g(x)=\dfrac{1}{4}f(x)[/tex]

Then, it is reflected over the x-axis.

[tex]G(x)=-g(x)[/tex]

[tex]G(x)=-\dfrac{1}{4}f(x)[/tex]       [tex][\because g(x)=\dfrac{1}{4}f(x)][/tex]

[tex]G(x)=-\dfrac{1}{4}x[/tex]       [tex][\because f(x)=x][/tex]

So, the new function is [tex]G(x)=-\dfrac{1}{4}x[/tex].

Therefore, the correct option is B.

Answer:g(x)=-1/4x

Step-by-step explanation:

A store owner paid $15 for a book , she marked up the price of the book by 40% to determine its selling price . What is the selling price in dollars of the book ?

Answers

It is 15*40% =6
15+6=21$

If a $1000 computer is marked off 35%, what is the sale price?

A) $300

B) $350

C) $650

D) $1350

Answers

What I did was I took the $1000 and subtracted the percent off (35% equals 350)

[tex]1000 - 350 = 650[/tex]

The total cost of the sale price is $650 (C)

Thank you! btw can i please get brainly :3

Answer:

650

Step-by-step explanation:

1000-350=650

9. Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year.

Answers

Complete question :

Two neighboring schools use different models for anticipated growth in enrollment: School A has 850 students and predicts an increase of 100 students per year. School B also has 850 students, but predicts an increase of 8% per year. Compare the models.

Answer:

y = 850 + 100x

y = 850 + 1.08^x

Step-by-step explanation:

SCHOOL A:

Initial Number of students = 850

Increase per year = 100

SCHOOL B:

Initial Number of students = 850

Increase per year = 8%

Let the total number of students after x years = y

Hence,

SCHOOL A:

y = initial population + 100 * Number of years

y = 850 + 100x

SCHOOL B:

Using the growth rate relation

y = initial population + (1 + rate per year)^number of years

y = 850 + (1 + 0.08)^x

y = 850 + 1.08^x

Find the value of each variable that makes the equation true.
1. 89 = 1
2. 94.9-6 = 96
3. 5-3.2-3 = 100

Answers

What’s the equation?
Wait what’s the equation?

Alison swims 75 feet in 12 seconds. What is he rate to the nearest mile per hour? Please explain all the steps.

Answers

Answer:

32. 74

Step-by-step explanation:

Round money monetary answers to the nearest cent. ... using the Distributive Property and explain each step. ... Alison has $9.70 in dimes and quarters. ... It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the.

What is the unit price for trail mix if a 8 ounce bag cost $2.80.

Answers

1 ounce for every 38 cents hope this helps

Can someone explain how to work this out?

Answers

Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

In order to prove the triangles pictured below as congruent BY SAS, we would need to know ___

a. AB≅AD
b. angle BAC≅angle DAC
c. angle ABC≅angle ADC
d. angle BCA≅angle DCA

Answers

Answer: D

Step-by-step explanation: i got it right

Select Rational or irrational to classify each number

Answers

4/5 is rational. sqr(4)/5 is rational. pi is irrational and sqr(25)/4 is irrational

Part A How can you find the magnitude of a vector , where the horizontal change is x and the vertical change is y?

Answers

Step-by-step explanation:

The magnitude of the 2D vector is sqrt[x² + y²].

wrong answer sorry bout that

Anna is plotting points for a rectangle in the coordinate plane. She plots (4, -3), (4, 0), and (-2, 0). Which could be the coordinate pair that Anna plots in the third quadrant?
a) (2,3)
b) (-2,3)
c) (2,-3)
d) (-2,-3)

Answers

the answer is d, because if you plot all the other coordinates, you need to plot a point in (-2,3) to get a straight rectangle.

The chart below shows the density of three different liquids. Which illustration correctly shows how these liquids would appear if they were poured slowly into a cylinder?

Answers

Answer:

A

Step-by-step explanation:

Though i am unable to attach an image of the question here. However, i will do my best to explain quite well.

The densities of the liquids are;

A - 13.6 g/ml

B- 0.8 g/ml

C- 1.0 g/ml

The most dense liquids will be found at the bottom while the least dense liquid is topmost liquid. This implies that A will be found at the bottom followed by C and finally B.

Which table of ordered pairs represents a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 4, negative 5. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 1, negative 3, negative 5. Column 2 is labeled y with entries 1, 3, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 4, negative 6. Column 2 is labeled y with entries negative 5, negative 7, negative 9.
A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 3, negative 4. Column 2 is labeled y with entries 0, negative 1, negative 2.

Answers

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 14, 28, 42. Column 2 is labeled y with entries 2, 4, 6.

Step-by-step explanation:

Examining the response options:

A 2- compartment chart with 3 rows. Column 1 is designated x with records 1, 5, 6. compartment 2 is designated y with records 5, 20, 30.

No, as y = 25 not 20 and x = 5 .

A 2- compartment chart with 3 rows. Column 1 is identified x with approaches 48, 32, 16. compartment 2 is designated y with listings 4, 2, 1.

No, y =64 not 48 and x= 4.

A 2- compartment chart with 3 lines. compartment 1 is designated x with records 0, 1, 3. compartment 2 is designated y with records 90, 70, 25.

No, y= 25+3*45= 160 not 90 and x = 3.

A 2- compartment chart with 3 lines. compartment 1 is designated x with records 42, 28, 14. compartment 2 is designated y with records 2, 4, 6.

Yes, as 2*7 = 14, 4*7= 28, 6*7= 42.

Answer:

C

Step-by-step explanation:

Did the quiz! :D

A bag has 5 yellow marbles, 3 red marbles, and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before another is picked. How many times would Quinn expect to a blue marble if he picks a marble 200 times

Answers

Answer:

He would expect to see the blue marble 40 times. Hope this helps!

Step-by-step explanation:

Answer:

40 blue marbles

Step-by-step explanation:

You would find the probability of a blue marble

2 blue/ ( 5+3+2) total

2 divided by 10 is 1/5

Then, you multiply 200 and 1/5 together, which would equal 40.

Quinn should expect to pick 40 blue marbles.

The following table shows a proportional relationship between mmm and nnn.
mmm nnn
333 212121
555 353535
888 565656
Write an equation to describe the relationship between mmm and nnn.

Answers

Answer:

n=7m

Step-by-step explanation:

this answer is good on khan academy

The equation to describe the relationship between m and n will be n = 7m.

What is constant of proportionality?

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

In order to find an equation between n and m by dividing n/m

m = 3, n = 21

n/m = 21/3 = 7

n = 7m

Now, check using the other two points

m = 5, n = 35

n/m = 35/5 = 7

n = 7m

m = 8, n = 56

n/m = 56/8 = 7

n = 7m

Hence, The equation to describe the relationship between m and n will be n = 7m.

Learn more about proportional relationship variable here:

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Someone able to solve this ? Please

Answers

Type it into Desmos graphing calculator it is so helpful.


Have a merry Christmas!
Answer: x = -8, -3, 2, 7

Explanation:

Based on the graph, you look at each time the graph intersects the x-axis since it’s asking when y = 0.

D
Question 9
1 pts
The amount of money you collect after washing x cars at a car wash and asking for
donations is represented by the function y = 8x + 19.
Find the domain of the function and determine whether it is discrete or continuous.

A) x= 8, 9, 10, ...; discrete
B) x=0,1,2,...; discrete
C) x > 0; continuous
D) x > 8; continuous

Answers

Answer:

B) x=0,1,2,...; discrete

Step-by-step explanation:

Given

Function y = 8x + 19

x is the number of cars so it should be a whole number so the domain is discrete

Correct option is B

What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The measures of other angles are (x+17⁰) and (4x-34⁰).

Answers

Answer:-

x=17

step-by-step Explanation:-

[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

Solution:-

Given angles

(6x+10°)(x+17°)(4x-34)°

According to sum theory

[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]

Substitute the values

[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]

Remove brackets

[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]

Together like polynomials and constants

[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]

Interchange sides

[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]

Simplify

[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]

[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]

Micah is building a structure that requires 3 pieces of wood each measuring 834 feet and 4 pieces of wood each measuring 1058 feet. What is the total length of wood, in feet, that Micah needs?

Answers

Answer:

834*3 + 1058*4 = ___

2,502 + 4,232 = 6,734 feet of wood

Step-by-step explanation:

Answer:

6734 is the answer.

Step-by-step explanation:

834 x 3 = 2502.

1058 x 4 = 4232.

2502 + 4232 = 6734.

Brainliest ??? HELP

Answers

Answer:

D

Step-by-step explanation:

Marcus bought a booklet of tickets to use at the amusement park. He used 50% of the tickets on rides, 13of the tickets on video games, and the rest of the tickets in the batting cage. Marcus says he used 10% of the tickets in the batting cage. Do you agree? Explain.

Answers

Given :

Marcus bought a booklet of tickets to use at the amusement park.

He used 50% of the tickets on rides, 13% of the tickets on video games, and the rest of the tickets in the batting cage.

To Find :

Marcus says he used 10% of the tickets in the batting cage.

Solution :

We know sum of all the percentage should be equal to 100.

So,

( % used on rides ) + ( % used on video game ) + ( % used in batting cage ) = 100

Let, % of ticket spend on batting cage is x.

50 + 13 + x = 100

x = 100 - ( 50 + 13 )

x = 37%

So, Marcus used 37% in batting cage.

Therefore, the statement by Marcus that he use 10% of the ticket in the cage is wrong.

No, i do not agree. To find this out, we will have to convert all of them into either decimals or percents. Let's convert these all into percents. A percent means 'out of 100', so if we add the percents all together, they should equal to 100. The rides is 50%. To convert 1/3 into a percent, divide the numerator by the denominator. You will get a decimal, so then multiply that by 100 or move the decimal two places to the right. So, 1 divided by 3 is equal to approximately 33%. Let's add 50 and 33 together. The total is 83%. So, like I said, a percent is out of 100. Subtract 83 out of 100 and you will get 17. So, the remaining percent has to be 17 percent, not 10%.

Hope it helps :)

What is the solution to this system of equations?
10
8
6
y = x + 6
y = -0.5x + 3
4 2
2
O A. (-1,2)
OB. (-2,4)
O C. (2, -1)
O D. (4,-2)

Answers

Answer:

it is B

Step-by-step explanation:

Look at where both of the lines meet from there you can find that (-2,4) is the solution

The solution to the system of equations is (x, y) = (-2, 4).

Option B is the correct answer.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can solve this system of equations by setting the expressions for y equal to each other and solving for x, then substituting the value of x into one of the equations to find the corresponding value of y.

y = x + 6 ...(1)

y = -0.5x + 3 ...(2)

Setting equations (1) and (2) equal to each other gives:

x + 6 = -0.5x + 3

Solving for x, we get:

x + 0.5x = 3 - 6

1.5x = -3

x = -2

Substituting x = -2 into equation (1), we get:

y = -2 + 6

y = 4

Therefore,

The solution to the system of equations is (x, y) = (-2, 4).

Learn more about equations here:

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HELP ME. It takes 12 hours to paint a 10-ft-by-18-ft mural. At this rate, how long will it take
the same number of people to paint the same mural on a 15-ft-by-27-ft wall?

Answers

18hrs because its a scale factor of 1.5

The rabbit population in a certain area is 300​% of last​ year's population. There are 900 rabbits this year. How many were there last​ year? *
A - 300 rabbits
B - 2,700 rabbits

Answers

I believe it would be A

Answer:

-300

Step-by-step explanation:

You invest $1700 in an account that earns 1.3% interest compounded daily. Write an equation to model the amount of money at any given time.

Please give an explanation but detailed as possible. I would like to learn how to solve word problems like these and improve on my math. I wan to get better so I can peruse my dream of being an engineer, and math is an important concept to it, so I would highly appreciate some help so I can learn :D

Answers

the equation goes like this

y = ab^x

y = total cost

a = the intital amount (in your case the $1700)

b = the interest (since this is an exponetial growth it should be 1.013)

x = time

soo y = 1700(1.013)^x is the equation

How much will a 100% affect my grade if I have 42%
please I got a 0 and it dropped my grade by half and if I have an F I have to go in person

Answers

Hi!

So your grade depends on how much the 2 scores are weighted.

BUT, if the 42 and 100 have equal weights of 50/50, you will have a 71% C

If the 100 isn't weighted that much, I'd guess it'd be around 75/25, your grade will be a 56% F

Try to get as many high grades or extra credits as possible!

Please mark brainliest and ask more if you need help!

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