Mathematics High School

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k​

Answers

Answer 1

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

Related Questions

Can someone help me? ​

Answers

Answer:

I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5

-8=-8

Step-by-step explanation:

find x .....merry Christmas :)))
​

Answers

The value of x in the triangle is 70°

What is a scalene triangle?

A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°

i.e

[tex]\mathbf{\hat x + \hat y + \hat z = 180 ^0}[/tex]

Let's assume that angle y = 60° and angle z = 50°  

Then;

[tex]\mathbf{\hat x + 60^0 + 50^0 =180^0}[/tex]

x + 110° =180°

x = 180° - 110°

x = 70°

Learn more about scalene triangle here:

https://brainly.com/question/16589630

John drove 30 miles to work each day.He moved closer too work and now he drives 18 miles to work each day what percentage did the number of mile john drove decrease

Answers

Answer:

40 i think

Step-by-step explanation:

what is the y-intercept of y=5?

Answers

Answer:

The slope is 0, and the y-intercept is (0,5)

Step-by-step explanation:

I've had this question before.

Answer:

Step-by-step explanation:

y= x+ 5

Name the perpendicular bisector….

Answers

Answer:

B and C

Step-by-step explanation:

I chose these bisector angles because they both are at a 90 degree angle

pls pls pls help im very behind

the options for A) 0 24.5 39.2 44.1

the options for B are the same for A

Answers

Answer: A is 24.5

B is 0

Step-by-step explanation:

The first 3 sec are increasing. On sec 4 it starts to decrease. .

3. The school volleyball team is hosting a car wash to raise money for its upcoming season. The coach spends $24 on supplies for the car wash. The team plans to charge $6 per car. How much money will the team make if 50 cars come to the car wash? The coach tells the girls they need to raise at least $400 to attend a camp the following week. How many cars do they need to come to the car wash to make enough money to go to the camp?

Answers

1.) 6x50= 300
2.) 400/6=66.6

$300 if 50 cars come to the car wash

at least 67 cars if they want to raise at least $400

у — 3x 4
у > 4х +1

Anyone know the answe on how to solve this???

Answers

Answer:

Unbounded, infinite number of solutions

Step-by-step explanation:

1. Graph each inequality separately

2. Choose test point to determine which side of line needs to be shaded

3. The solution will be the the area where the shadings from both inequalities overlap

Since, the overlap almost covers the 2nd and 3rd quadrants there are an infintite number of solutions

Which graph best represents the solution to this system of inequalities?

A.
B.
C.
D.

Answers

Answer:

letter A po

Step-by-step explanation:

thanks for brain less

If the mean of a data set is 100 and almost all the data is from 40 to 160, what is a good approximation of the variance?
A) 120
B) 20
C) 900
D) 400
E) none of the above

Answers

A.) 120

The variance is the range of a data set, which shows how spread out numbers are. To get the variance, we take the last number and subtract it from the first number. 160-40=120. Therefore, there is 120 numbers between 40 to 160.

In Need of help please Help :c

Answers

Answer:

proportional: A, B, D, G, Inon-proportional: C, E, F, H

Step-by-step explanation:

Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.

  C has an initial value of 7

  E has a y-intercept of -3

  F has an initial value of 2.00

  H has an initial value of 5

All of these are non-proportional. The remainder are proportional.

Select an the correct answers.
Which two tables represent the same function?

Answers

Answer:

4th is right

Step-by-step explanation:

fourth is right, x + 8 = y

you have it correct

Combine the like terms to create an equivalent expression
−4q-(-8p)+10

Answers

Answer:

Step-by-step explanation:

−4q-(-8p)+10

= -4q + 8p + 10.

(There are no like terms).

What is the percent increase of 24 to 32?

Answers

Answer:

8%???????????????????????

I will show you how calculate the Percent Change from 24 to 32.

Basically, we are trying to find the change from 24 to 32 in terms of percent. We do this in three steps:

1) Find the difference between 24 and 32 as a number.

2) Divide the result from Step 1 by the starting number 24.

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

The three steps above can be made into a formula. So, to find the percent change from 24 to 32, we use this formula:

((Y-X)/X)*100 = Percent Change

X is the starting number 24, and Y is the ending number 32 that it changed to. When we enter these numbers into the formula, we get:

((32-24)/24)*100 = 33.33%

So, the answer to the question "What is the Percent Change from 24 to 32?" is:

33.33%

Note: All percent answers are rounded to the nearest two decimals if necessary.

-ㄚㄩ尺丨

Solve for x.
(x+16)
(4x-5)°
11
7
9
13

Answers

Answer:

4

3

+

5

9

2

−

8

0

Step-by-step explanation:

8,17,26 find the 31st term

Answers

Answer:

T31= 278

Step-by-step explanation:

formula is Tn=a +(n-1)d

T31= 8+(31-1)9

T31=8+(30)9

T31=8+270

T31=278

10 divided by 3 long division

Answers

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

The first number, 10, is called the dividend.The second number, 3 is called the divisor.

What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.

10 divided by 3 step-by-step guideStep 1

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

  __

3| 10

Step 2

We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

   _0_

3 | 10

Step 3

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

 _0_

3 | 10

    0

Step 4

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

 ___

3 | 10

- 0

__

1

Step 5

Move the second digit of the dividend (0) down like so:

 __0_

3 | 10

 - 0

-----------

10

Step 6

The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:

 __03_

3 | 10

- 0

___

10

Step 7

If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:

 _03_

3 | 10

- 0

__

10

 9

Step 8

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:

  __03_

3 | 10

- 0

__

10

-9

_

1

So, what is the answer to 10 divided by 3?

Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:

3 - Remainder 1Extra calculations for you:Using a calculator, if you typed in 10 divided by 3, you'd get 3.3333.You could also express 10/3 as a mixed fraction: 3 1/3If you look at the mixed fraction 3 1/3, you'll see that the numerator is the same as the remainder (1), the denominator is our original divisor (3), and the whole number is our final answer (3).

Realiza los desplazamientos de las figuras como se indican y contesta

Answers

Para desplazar o trasladar una figura siempre mueva la figura de acuerdo al ángulo o distancia indicado sin modificar el tamaño o características de la figura.

¿Qué significa desplazar una figura?

El desplazamiento o traslación de una figura implica el desplazamiento de la figura de acuerdo a un ángulo determinado o distancia.

Este desplazamiento generalmente cambia la posición de la figura pero nunca debe cambiar:

El tamaño de la figura.Los ángulos o lados de la figura.Las características de la figura.

¿Cómo trasladar una figura?Determine la dirección, ángulo o distancia en la que tiene que mover la figura, por ejemplo, trasladar la figura 5 cm hacia la derecha.Dibuje la figura en la nueva posición asegurándose con el uso de una regla u otras herramientas que la figura no cambie.

Nota: Esta pregunta esta incompleta porque no hay información sobre las figuras que se deben trasladar ni las preguntas a responder, por está razón respondí la pregunta basado en conocimiento general.

Aprenda más sobre figuras en: https://brainly.com/question/14982752

Are quantity and amount are same thing, if no so tell the difference ?

no spam ​

Answers

Answer:

No

Amount should be used when you're talking about a singular noun that CAN'T be measured. ... –Quantity should be used for an inanimate, single or plural noun that CAN be counted or measured.

Step-by-step explanation:

Hope this helps you !!!

help ASAP please hmmmm ​

Answers

Answer:

D. The Number 0.55 Is A Rational Number Because It Can Be Written As The Fraction 11/20.

Step-by-step explanation:

Help me please ;-;
NO LINKS!!!

A ___________ represents a relationship between two quantities. Select all that apply.

A. Equation
B. Graph
C. Table
D. Function

Answers

Answer:

D. Function

Step-by-step explanation:

Function:a relationship or expression involving one or more variables.

"the function (bx + c)"

given that 5(x+k)=4x +. 20 and that x is positive show that k < 4

Answers

Answer: its 5k

Step-by-step explanation:

I need help with this problem:
Which system of equations belongs to the graph?
a) 2x - 2y = 6 and 2x + 3y = 6
b) 2x + 2y = 6 and 4x – 6y = 12
c) x - 2y = 6 and 4x + 6y = 12
d) None of the above

Answers

Answer:

b)

Step-by-step explanation:

2x + 2y = 6 ---> y=-1x+3

4x – 6y = 12 ---> y= 4/6x -2

Answer:

I think it is a

Step-by-step explanation:

You have to solve those systems first. In the first option, x would be equal to 3 and y would be 0. Therefore, the intersection is (3; 0)

Samir bought 6 equally priced pencils for $2.10.

How much will 10 of these pencils cost?


$1.26

$2.63

$2.86

$3.50

Answers

Price of 6pencils=2.10

Price of one pencil

[tex]\\ \sf\longmapsto 2.10/6=0.35[/tex]

Price of 10pencils

[tex]\\ \sf\longmapsto 0.35(10)=\$3.5[/tex]

The cost of ten pencils is $3.50.

Given

Samir bought 6 equally priced pencils for $2.10.

Unit rate;

A rate is a ratio that is used for comparing two different kinds of quantities which have different units.

The cost of 1 pencil is;

[tex]\rm =\dfrac{2.10}{6}\\\\=0.35[/tex]

Therefore,

The cost of 10 pencils is;

[tex]= 10 \times 0.35\\\\=3.50[/tex]

Hence, the cost of ten pencils is $3.50.

To know more about unit rate click the link given below.

https://brainly.com/question/11258929

=
Let f(x) = 3x + 8, g(x) = 2x -12
and h(x) = -4x
=
1a) f + g =
1b) f-g=
2b) g*f=
2b) g-f=

Answers

Answer:

it's the 2nd one

Step-by-step explanation:

yeah it's the 2one

AHH HALP

0.333 as a fraction
0.666 as a fraction
0.343434 as a fraction
1.432432 as a fraction

PLZ I NEED IT IN THE NEXT FEW MINS

I WILL GIVE BRAINLIEST TO WHOEVER GIVES THE BEST ANSWER AND THE CORRECT ANSWER

PLEASE GIVE ME AN EXPLANATION AND A CORRECT ANSWER! THANK YOU

(Also sorry for caps, I just really need those answers lol)

Answers

Step-by-step explanation:

for the ones with the 1.43, it'll be written as an improper fraction. Let me know if you have questions,I've started it for you now try the rest

0.333 is apoximently 1/3

0.666 is aproximently 2/3

i couldnt find out the others tho s0rry

\Hoped that helped:P

please help finals study guide​

Answers

I
Dont seee any picture

What is the measure of each angle of a regular heptagon? If necessary, round to the
nearest tenth.

Answers

Answer:

Umer F. 51.43∘ is the measure of each exterior angle in a regular heptagon.

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

if l||m, find the value of x.

Answers

l || mWhen two parallel lines are intersect by a transversal, then the corresponding angles are equal.[tex]11x - 47 = 6x - 2 \\ = > 11x - 6x = - 2 + 47 \\ = > 5x = 45 \\ = > x = 9[/tex]

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

11x - 47 = 6x - 2                  Corresponding angle. Add 47 to both sides

11x = 6x + 47 - 2                 Combine

11x = 6x + 45                      Subtract 6x from both sides

11x - 6x = 45                       Combine

5x = 45                              Divide by 5

5x/5 = 45/5

x = 9

Solve the inequality.
3x + 5
———- <4
2

x < [?]

Answers

Answer:

[tex]x \leqslant 1[/tex]

Step-by-step explanation:

first multiply both side by 2 to get rid of the fraction

[tex]3x + 5 \leqslant 4(2)[/tex]

[tex]3x + 5 \leqslant 8[/tex]

[tex]3x \leqslant 8 - 5[/tex]

[tex]3x \leqslant 3[/tex]

[tex]x \leqslant 1 [/tex]

Other Questions
Shelby will take a total of 6 tests. On the first 5 tests, her scores were: 80, 85, 73, 78, 90. If she wants a mean grade of 80, what does Shelby have to score on her 6th test?84809074 when accounting profits are negative, economic profits Which of the following is NOT considered a form of precipitation? *RainSnowLightningHailAll of the above are considered precipitation The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?Part A: Draw the pond and label what you know from the problem above.Part B: What is the diameter of the pond?Part C: How many seconds does it take the boat to get to the other side of the pond? Help plzz I dont get it PLEASE HELP.True or FalseThe graph of an exponential function, y=ab^x produces an asymptote at the line y=0. At which x-values are the output values of the floor function g(x) = x and the ceiling function h(x) = x equal? Check all that apply. ""8 ""5. 2 ""1. 7 0 2. 4. What happens to an individual when their ability to choose is taken away?Question 1 options:they may feel empoweredthey may feel helplessthey may become more independentall of these may happen- Which of the following is not a controllable health factor?Dieta.b.InfectionC.Exercised.Rest show any four events of unification campaign of Prithvi Narayan Shah in a timeline. the table shows the daily temperatures for a city what is the mean absolute deviation for this dataA) 2 B) 10 C) 70D) 71 how far will an object fall in 3 seconds Should art only represent objects in a recognizable form? Or can art be about things that are nonrepresentational such as ideas, feelings or mood? 4. Summarize Lord Arthur's first and second attempts atmurder.In lord Arthur saviles crime In Pride and Prejudice by Jane Austen, the author explores her feelings about Victorian social life, particularly relationships between men and women. [ 2-3 sentences briefly about the novel in general] At the beginning of the novel, Elizabeth can be characterized as _____________________and Darcy as ______________________________, but by the end Elizabeth changes to be ______________________while Darcy changes to be __________________________________________; ultimately, the changes prove the point of the author that ______________________________________ [Thesis].In the first part of the novel, Elizabeth displays the characteristics of being _____________ and ________________. She [describe an action that shows these characteristics]. In one part, Elizabeth states/Elizabeth is described as__________________________________________________[insert quotationincorporated properly]. This shows _______________________________________________ [explain the quotation]. Also in the beginning Darcy shows that he is _________________ and ___________________. He [describe an action that shows these characteristics]. He states/is described as ___________________________________ [insert quotationincorporated properly]. This shows that _________________________________________ [explain quotation]. As the novel progresses, changes occur.Later in the novel, Elizabeth changes to being more ______________________ and __________________________, and Darcy changes to being more _____________________________and__________________________. Elizabeth acknowledges her changing attitude by stating, ______________________________[insert quotationincorporated properly]. This shows ______________________________[explain quotation ] Clearly, she has ______________________________________, and Darcy acknowledges his changing attitude by stating, ______________________________________ [insert quotationincorporated properly]. This shows _____________________ [explain quotation] Clearly, he has _______________________ . The changes that occur to Elizabeth and Darcy throughout the novel prove Jane Austens theme that _____________________________________________. Change is not easy for anyone, and neither is being wrong. Elizabeth makes the statement that _____________________________________________, [insert quotationincorporated properly] showing_________________________________[explain quotation]. Darcy indicates the result by stating _______________________________________________________ [insert quotationincorporated properly] showing that he__________________________[explain quotation]. Austens novel is indicative that anyone _________________________________________.In Austens novel, the readers can see Elizabeth at first being _____________________and Darcy as being______________________________, but by the end Elizabeth changing to be ______________________and Darcy changing to be __________________________________________; ultimately, the changes prove the point of the author that ______________________________________ [Restatement of thesis]. Throughout the years, many have loved this novel because of its ______________________________________________________________________. Many other readers have also learned that ____________________________________________________. What evidence can you presentin a counterargument to ideas ofWollstonecraft's with which youdisagree? Solve it (Easy question) :[tex]\lim_{x \rightarrow 1} \cfrac{x {}^{2} - 25 }{x {}^{2} - 5 }[/tex] In dogs, one pair of alleles determines coat color (dark and albino). Another pair of alleles determines hair length (short and long). Thus, each gamete will contain one of the coat-color alleles, C or c and one of the hair-length alleles, B or b. In repeated crosses of a specific dark, short-haired dog with an albino, long-haired dog, all the offspring were dark with short hair, as shown in cross I. However, in subsequent crosses of another dark, short-haired dog with a dark, long-haired dog, the ratios shown in cross II below were obtained. In cross II, the genotype of the dark, short-haired parent is which option choice.Answer A: CcBbAnswer B: ccbbAnswer C: CCBBAnswer D: CCbbAnswer E: ccBB Determine all the zeros of the function y = 3x^2 - 2x - 2 is a virtue by which you need to secure information by limiting computer access to authorized personnel only.