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
SVETLANKA909090 [29]
2 years ago
6

Explain Step By Step how to solve the following equation by factoring: 3x^2+22x-45

Mathematics
1 answer:
Darya [45]2 years ago
8 0

\huge \sf \dag \: Answer  :

\rm 3 {x}^{2}  + 22x - 45

The values of a, b, and c are obtained, namely

  • a = 3, b = 22, c = -45

with the values of a, b, and c above we determine the value of x, then :

\longmapsto \sf x_{1,2}  =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}

\longmapsto \sf x_{1,2} =  \frac{ - 22 \pm \sqrt{ {22}^{2}  - 4(3)( - 45)} }{2(3)}

\longmapsto \sf x_{1,2} =  \frac{ - 22 \pm \sqrt{484 - 4( - 135)} }{6}

\longmapsto \sf x_{1,2} =  \frac{ - 22 \pm \sqrt[]{484 + 540} }{6}

\longmapsto \sf x_{1,2} =  \frac{ - 22 \pm \sqrt{1.024} }{6}

\longmapsto \sf x_{1,2}  =  \frac{ - 22 \pm32}{6}

with that we get the values of x, namely :

\longmapsto \rm x_{1}  =  \bf \frac{10}{6}  = 1 \frac{2}{3}

\longmapsto \sf x_{2} =  \bf - 9

Solution Set = {1⅔, -9}

-I Hope This Helps!

You might be interested in
Which of the following is the solution to 17 - 2x=-11?<br> 3<br> -14<br> 14<br> he<br> -3
lesya692 [45]

Answer:

17-2x =-11 I got 14

Step-by-step explanation:

Subtract the 17 from the -11 which will be -28 and then divided -28 by -2 and your answer is 14

3 0
2 years ago
Alexa pays 7/20 of a dollar for each minute she uses her pay-as-you-go phone for a call, and 2/5 of a dollar for each minute of
9966 [12]

Answer:

  • The system of equations is x + y = 85 and 7/20x+2/5y=31
  • To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
  • B-She used 60 minutes for calling and 25 minutes for data.

Step-by-step explanation:

It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...

  x + y = 85

The total of charges is the sum of the products of charge per minute and minutes used:

  7/20x + 2/5y = 31.00

We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.

  -7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)

  -7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses

  y = 25 . . . . . . . . simplify

Then the value of x is

  x = 85 -y = 85 -25

  x = 60

7 0
3 years ago
Read 2 more answers
Answer quickly, please. I need this. I will give brainliest to whoever answers first. You also get 25 points for this
sukhopar [10]
** DISCLAMIER** am not completely sure. Please do not use my answer unless you are very desperate.

since O,R correspond with A,N I think you half F on each side and add it to 11.2 so
10 divided by 2 = 5
7 is already half.
5 + 7 is 12
12 + 11.2 = 23.2

IF THIS IS WRONG TRY 17
reason for 17:
10 + 7 = 17
If you look at both lines they look the same length as A, N.
3 0
3 years ago
Please help.............
natta225 [31]

Answer:

...........

2(x + 2) + 2x = 20

6 0
3 years ago
Read 2 more answers
Will give brainliest, <br> (404/4)x(2x2) to the power of 2.
Ganezh [65]

Answer:

163216

Step-by-step explanation:

If it's the sign of multiplication

404/4=101

2*2=4*101=404^2=163216

or,

If it's x

(404/4)x(2x2)

(101)x(2x2)

101x (4x)^2

1616x^2

2611456

I am not sure if it's right

7 0
3 years ago
Other questions:
  • Suppose you and your 4 friends (5 people) are dressing up as the 6 main characters of the first Avengers movie: Iron Man, Hulk,
    6·1 answer
  • Which graph has the same end behavior as the graph of f(x) = –3x^3 – x^2 + 1?
    15·1 answer
  • 5a (b - c) = d Solve for b
    10·1 answer
  • How do I round it if technically it’s already to the nearest hundredth
    5·1 answer
  • Simplify: 5x+50/x+5 • 1/x+10
    5·2 answers
  • What is 3 to the power 3/7 rounded to the nearest half
    5·1 answer
  • Determine the AP whose 3rd term is 5 and 7th term is 9
    8·1 answer
  • Can someone help me solve this?
    10·1 answer
  • Find the circumference
    7·2 answers
  • If x-2 divides p(x) evenly, which statement must be true?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!