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
Sophie [7]
3 years ago
11

The equation 3x+4=5x-4 has the solution set {4}. explain why the equation (3x+4)+4=5x-4)+4 also has the solution set {4}

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0
Notice that the terms in parentheses on both sides of the equation are added to 4.

(3x + 4) + 4 = (5x - 4) + 4


So we can set the equation as.

3x + 4 = 5x - 4


Subtract 3x on both sides of equation.

4 = 2x - 4


Add 4 on both sides of equation.

8 = 2x


Divide both sides of equation by 2.

4 = x


4 is the only value that satisfies the statement.
You might be interested in
What is 3/5 divided by 7/9
Daniel [21]
3/5(divided)9/7
3/5x7/9
27/35
6 0
3 years ago
if the corresponding sides of 2 quadrilaterals are propotional, then the 2 quadrilaterals must be similar
den301095 [7]

Answer:

False

Step-by-step explanation:

A square and a parallelogram could have proportional sides but the angles would not be the same

5 0
3 years ago
Which of the following is a description of the data with a correlation coefficient of -0.2?
Leni [432]

low negative correlation


3 0
3 years ago
Read 2 more answers
If N is the population of the colony and t is the time in​ days, express N as a function of t. Consider Upper N 0 is the origina
lesya [120]

Answer:

(a)N(t)=Noe^{kt}

(b)5,832 Mosquitoes

(c)5 days

Step-by-step explanation:

(a)Given an original amount N_o at t=0. The population of the colony with a growth rate k \neq 0, where k is a constant is given as:

N(t)=Noe^{kt}

(b)If N_o=1000 and the population after 1 day, N(1)=1800

Then, from our model:

N(1)=1800

1800=1000e^{k}\\$Divide both sides by 1000\\e^{k}=1.8\\$Take the natural logarithm of both sides\\k=ln(1.8)

Therefore, our model is:

N(t)=1000e^{t*ln(1.8)}\\N(t)=1000\cdot1.8^t

In 3 days time

N(3)=1000\cdot1.8^3=5832

The population of mosquitoes in 3 days time will be approximately 5832.

(c)If the population N(t)=20,000,we want to determine how many days it takes to attain that value.

From our model

N(t)=1000\cdot1.8^t\\20000=1000\cdot1.8^t\\$Divide both sides by 1000\\20=1.8^t\\$Convert to logarithm form\\Log_{1.8}20=t\\\frac{Log 20}{Log 1.8}=t\\ t=5.097\approx 5\; days

In approximately 5 days, the population of mosquitoes will be 20,000.

7 0
3 years ago
Read 2 more answers
The volume, V, of a right pyramid with the base area B and height h is calculated by the formula:
Lubov Fominskaja [6]

Answer:

B=V/13*h

Step-by-step explanation:

V=13*B*h

V/13*h=B

6 0
3 years ago
Other questions:
  • 98 points! please answer this question ASAP!
    10·2 answers
  • Pythagorean theorem If l = 12 cm and m = 35 cm, what is the length of n?
    6·2 answers
  • What are the first four terms of the sequence defined recursively below
    6·2 answers
  • four 3 megawatt wind turbines can supply enough electricity to power 3000 homes. How many turbines would be required to power 55
    10·1 answer
  • Help with figuring out the answer.​
    13·1 answer
  • Eduardo contributes 16% of his $82,400 annual salary to his 401(k) plan. what is his pre-tax income?
    14·2 answers
  • Integers between -2 and +3​
    15·1 answer
  • Hurry please! I will give the right answer brainliest! A developer has 7 1/2 acres of land to build houses on. If each house is
    10·2 answers
  • 234565335364 - 585257056894
    13·2 answers
  • What is the equation of the function represented by this graph?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!