1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
JulsSmile [24]
2 years ago
6

49x^2=-21x-2 quadratic functions

Mathematics
1 answer:
lara [203]2 years ago
3 0

Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7    



Step-by-step explanation:

Quadratic function:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.

Move terms to the left side

49x^{2}  =-21x-2

49x^{2}  -(-21x-2) =0

 Distribute

49x^{2}  -(-21x-2) =0

49x^{2}+21x+2=0

Use the quadratic formula



 x=(-b±√b^{2}  -4ac  ) / 2a

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

 49x^{2}+21x+2=0

let, a=49

b=21

c=2

 Replace with values in this equation

X=(-b±√b^{2}  -4ac  ) / 2a

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

x=(-21±7) /98

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate

x=(-21+7) /98

x=(-21-7) /98

Solve

Rearrange and isolate the variable to find each solution

x=-1/7

x=-2/7



                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   Learn more about area here https://brainly.in/question/5597925

#SPJ9

                 

   



   


                                                                                                                                                                                                   







You might be interested in
A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and
Ugo [173]

Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

5 0
3 years ago
Solve 3x 2 + 11x + 6 = 0
ollegr [7]

Answer:

x=

3

2

​

=0.667

x=3

Step-by-step explanation:

6 0
3 years ago
a large bag contains 3/8 pounds of nails how many 1/6 pound bags can be filled with the amount of nails​
FinnZ [79.3K]

Answer:

2 1/4

Step-by-step explanation:

5 0
3 years ago
Which equation represents a function? A. y2 + x = 6 B. y4 + x3 = 3 C. y – x2 = 4 D. y2 – x2 = 7 E. y2 + x2 = 7
valentinak56 [21]

Answer:

im pretty sure its b

Step-by-step explanation:

but somebody correct me if im wrong (:

6 0
3 years ago
What are the coordinates of the circumcenter of this triangle?
balu736 [363]

Answer:

(0.5, 0.5)

Step-by-step explanation:

draw lines in the middle of each side and the points line up in one spot

5 0
3 years ago
Read 2 more answers
Other questions:
  • A teacher surveys 30 students on the number of books they read over the summer. The data
    14·1 answer
  • The standard deviation of the lifetime of a particular brand of car battery is 4.3 months. A random sample of 10 of these batter
    10·1 answer
  • The equivalent ratios show how many teaspoons there are in 5 cups. What method can be used to convert 1 cup to teaspoons?
    13·2 answers
  • Answer soon please!! I think I started this correctly so if it’s wrong please tell me and what should I do from this point on?
    5·1 answer
  • Help meeee im stuck on this my mom wont let me be wihout doing hw
    6·2 answers
  • 5. Solve each of the following equations for the value of x. Show your work.
    5·1 answer
  • Does anyone understand this?
    10·2 answers
  • PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs
    10·1 answer
  • Find the area of the following figure and choose the appropriate result.
    7·1 answer
  • Pls help me I will merl you as brain
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!