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
vekshin1
3 years ago
11

The sum of two numbers is 9 . one number is nine less than twice the other. find the two numbers.

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0
Hello!

To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.

x+y=9
x=2y-9

To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.

2y-9+y=9
3y-9=9
3y=18
y=6

We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.

x=2·6-9
x=12-9
x=3

Just to check, we will plug these two numbers into the first equation.


3+6=9
9=9

Our two numbers are three and six.

I hope this helps!
You might be interested in
Mr. Cutting thought 8 students to come to small groups on Thursday, but
Zolol [24]

Answer:

62.5%

Step-by-step explanation:

im right

8 0
3 years ago
Need help please it’s due today show work
Diano4ka-milaya [45]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Please help me with number 1 to 6 please
Ugo [173]
1.) 144
2.) 8
3.) 262.5
4.) 36
5.) 630
6.) 440
8 0
2 years ago
Salvatore attends class every 4 weeks, chess club every 2 weeks, and fencing lessons every 3 weeks. If he attended all three thi
Amiraneli [1.4K]

Answer:

12

Step-by-step explanation:

Listing the weeks he will attend each item

Class  4,8,12,16

Chess 2,4,6,8,10,12

Fencing 3,6,9,12

Starting today at week 0, he will attend all 3 again at week 12

6 0
3 years ago
Read 2 more answers
What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]?
nika2105 [10]

Answer:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.

Step-by-step explanation:

Given:

f(x)=x^5-10x^3+9x; [-3,3]

Explanation:

In order to find minimum/maximum of a function, we need to find the first derivative of the function and then set it equal to 0 to get critical points.

Therefore,

f'(x)=5x^4-30x^2+9

Setting derivative equal to 0, we get

5x^4-30x^2+9=0

On applying quadratic formula, we get

x=2.4, -2.4, -0.7, 0.7.

So, those are critical points of the given function.

Plugging the values x=2.4, -2.4, -0.7, 0.7, -3 and 3 in above function, we get

f(2.4)=(2.4)^5-10(2.4)^3+9(2.4)= -37.01376   : Minimum.

f(-2.4)=(-2.4)^5-10(-2.4)^3+9(-2.4)= 37.01376 : Maximum.

f(0.7)=(0.7)^5-10(0.7)^3+9(0.7) = 3.03807

f(-0.7)=(-0.7)^5-10(-0.7)^3+9(-0.7) = -3.03807

f(-3)=(-3)^5-10(-3)^3+9(-3) =0

f(3)=(3)^5-10(3)^3+9(3) =0

Therefore the approximate values of the minimum and maximum points of f(x) = x^5- 10x^3+ 9x on [-3,3] are:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.


7 0
3 years ago
Other questions:
  • Describe the graph of
    12·1 answer
  • At a carnival game, you randomly throw two darts at the board and break two balloons. There are 15 balloons in total, 4 of them
    12·1 answer
  • What is the general equation for a linear function
    13·2 answers
  • The principal of a large high school wants to know if students spend more than 1 hour doing homework per night, on average. To i
    15·1 answer
  • *WILL MARK BRAINLIEST!!!!!!*
    14·1 answer
  • Put these numbers from least to greatest. I'm too lazy to do it. it's for trigonometry.
    9·2 answers
  • Jeremy gives his horse 12 gallons of water each day how many 1 quart pails of water is that
    7·2 answers
  • Subtract (7x-2) - (3x-5)
    8·2 answers
  • 240 inches equal blank ft
    11·2 answers
  • Can someone please help me with math.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!