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
rosijanka [135]
4 years ago
9

Which equation has infinitely many solutions?

Mathematics
1 answer:
joja [24]4 years ago
8 0

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) 12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10

which is impossible

B) 5x+14-4x=23+x-9 \iff x+14 = x+14

which is an equality

C) x+9-0.8x=5.2x+17-8\iff 0.2x+9=5.2x+9 \iff 0.2x=5.2x\iff x=0

which has a unique solution

D) 4x-2x=20 \iff 2x=20 \iff x=10

which has a unique solution

You might be interested in
The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they
satela [25.4K]

Answer:

Total cost= $86.25

Step-by-step explanation:

Giving the following information:

Discount= 10%

Nill= $82.5

Tip= 15%

<u>First, we need to calculate the discounted price:</u>

Discount price= 82.5 / 1.1= $75

<u>Now, the tip:</u>

Tip= 75*0.15= $11.25

<u>Finally, the total cost:</u>

Total cost= 75 + 11.25

Total cost= $86.25

3 0
4 years ago
A scuba diver is 30 ft below sea level. Which of the following best describes this situation?
Ghella [55]
Answer is #3. -30
Reason
1 and 2 are absolute values so they are 30, the 4th answer is plus or minus, the question says “below sea level” which is a negative number so it is -30.
3 0
2 years ago
Please help asap 25 pts
irakobra [83]

In a function, each domain element can have at most one range element. So we'll have to remove one of the links from 3. Either one can be removed, since it is OK for two domain elements to map to the same range element (as is the case for 3->b and 4->b).


This is all very theoretical, but here is a real life example.

Take f(x) = x²

You probably know that both f(2) and f(-2) is 4.

There 2 and -2 are in the domain, 4 is in the range.

7 0
4 years ago
PQ has endpoints P(-3,2) and Q(3,-2). Find the coordinates of the midpoint of PQ
hodyreva [135]

Answer:

(0,0)

Step-by-step explanation:

For this, you need to use the midpoint formula.

(-3) + 3                      2 + (-2)

--------------      ,       ----------------

     2                               2

This leads to:

-3 + 3 = 0 -> 0/2

x = 0

3 + (-3) = 0 -> 0/2

The answer is:

(0, 0)

6 0
2 years ago
What is the equation of the line that passes through (-5, 0) and (4, 3)?
kotegsom [21]

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

3 0
3 years ago
Other questions:
  • Solve the equation. 11 = –d + 15 A. 4 B. 6 C. 11 D. –4
    15·1 answer
  • Suppose that we want to estimate the mean reading speed of second graders. The random sample of students' reading speeds we choo
    5·1 answer
  • 20 points+Will give brilliant:
    5·1 answer
  • What property describes the number sentence of 6+0=6
    9·1 answer
  • The first one is an example please help thank you ☺
    5·2 answers
  • The graph of a linear equation contains the points (3,11) and (-2,1) Which point also lies on the graph
    14·2 answers
  • Heya kitties. graph y−5=43(x−5)<br><br> coordinates plz
    13·1 answer
  • In the spring, the owner of a sporting goods store decreases the price of winter gloves from $10.00 to $8.00. She increases the
    7·1 answer
  • The number 56 has 2 significant digits true or false
    8·1 answer
  • Camry has 612 photos she needs to put
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!