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
lidiya [134]
3 years ago
6

One positive number is 4 more than twice another. Their product is 198

Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

22 and 9

Step-by-step explanation:

Let the positive number be x.

Let the other number be y.

x = 2y + 4

xy = 198

Substitute x as 2y + 4 in the second equation.

(2y+4)y = 198

2y² + 4y = 198

2y² + 4y - 198 = 0

2(y-9)(y+11) = 0

y-9=0 or y+11=0

y=9

y=-11

The product is 198, so y is positive.

x(9)=198

x=22

EastWind [94]3 years ago
3 0

Answer:

\large \boxed{\sf \  \  9 \text{ and } 22 \ \ }

Step-by-step explanation:

Hello,

We can write that, x being the second number

(4 + 2*x) *x = 198

Let's solve this equation.

(4+2x)x=198\\\\4x+2x^2=198 \\\\\text{*** subtract 198 from both sides ***}\\\\2x^2+4x-198 = 0\\\\\text{*** The product of the zeroes is -198/2=-99=-11*9 and their sum is -4/2=-2 ***}\\\\2x^2+4x-198=2(x-9)(x+11)=0\\\\x=9 \ \ or \ \ x=-11

We are looking for positive number so the solution is 9.

And the first number is 4 + 2 * 9 = 4 + 18 = 22

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

You might be interested in
Which equation, when solved, results in a different value of x than the other three?
kicyunya [14]
I would have to say -7(1/8)x-4/3=20.


The first and the second one both result in
-23 5/7

The last one results in -24 8/21

but the third one is -22 3/8.

So your answer is either the third of the last one. I assumed the third because, it is lower than all others and the first two are closer to 24 than they are to 22. It’s your choice on how to judge it.
5 0
2 years ago
Inverse of f(x)=3x-4
aniked [119]

Answer:

\large\boxed{f^{-1}(x)=\dfrac{x+4}{3}=\dfrac{1}{3}x+\dfrac{4}{3}}

Step-by-step explanation:

f(x)=3x-4\to y=3x-4\\\\\text{exchange x to y and vice versa}\\\\x=3y-4\\\\\text{solve for y}\\\\3y-4=x\qquad\text{add 4 to both sides}\\\\3y=x+4\qquad\text{divide both sides by 3}\\\\y=\dfrac{x+4}{3}

8 0
3 years ago
Please help me again
dangina [55]

Answer:

60

Step-by-step explanation:

<u>Step 1:  Solve for x</u>

x + 3x + 2x = 180

6x / 6 = 180 / 6

x = 30

<u>Step 2:  Find the measure of angle C</u>

Angle C = 2x

Angle C = 2(30)

Angle C = 60 degrees

Answer:  60

3 0
3 years ago
A survey in one middle school showed that 3 out of 5 students
Anestetic [448]
Take 3/5 of 485 you got it
6 0
3 years ago
43 people are going to a club. A taxi can carry 7 people how many takis do they need?
irina1246 [14]

Answer:

They need 7 taxis

Step-by-step explanation:

43/7 is 6.14, and since their cant be .14 f a person you have to round up

7 0
3 years ago
Other questions:
  • Mr. day for students.<br>​
    7·1 answer
  • Perform the indicated operation. -6 + (-5) + 7
    13·2 answers
  • Please answer this question now
    10·2 answers
  • How can we solve proportions? ( 2 words)
    9·1 answer
  • Can anybody tell me the answer to this im so confused
    9·1 answer
  • 14 2 7 3 9=10 insert symbols
    8·1 answer
  • Suppose the local Best Buy store averages 480 customers per day entering the facility with a standard deviation of 110 customers
    15·1 answer
  • NEED ANSWERS STAT!
    10·1 answer
  • At Otto’s egg farm, Otto has found that when he charges $0.05 per egg, he sell so many eggs that he cannot keep up with the dema
    12·1 answer
  • ANSWER!!! I NEED ANSWER NOW OR I MIGHT FAIL!!! WILL GIVE BRAInLIEST
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!