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
natita [175]
3 years ago
7

X – 4 = 2x + 9 help me solve it step by step !

Mathematics
1 answer:
VashaNatasha [74]3 years ago
8 0

Step-by-step explanation:

x - 4 = 2x + 9

x - (2x) = 9 + (4)

-x = 13

x = -13.

You might be interested in
$3.50 for 12 pound of cheese. the cost for 1 pound of cheese is
Lerok [7]

Answer: 0.29166666666

Step-by-step explanation:

6 0
2 years ago
Escape room level 5 can anybody help <br> Thank you
kupik [55]

Answer:

Not going to lie I can only give you a guess which is -72 sorry if that didn't do much.

Step-by-step explanation:

5 0
2 years ago
HELP!! 50 POINTS!!!
aalyn [17]

Step-by-step explanation:

We have been given a table, which represents the projected value of two different houses for three years.


Part A:

\text{Increase in value of house 1 after one year}=294,580-286,000

\text{Increase in value of house 1 after one year}=8580

\text{Increase in value of house 1 after two years}=303,417.40-294,580

\text{Increase in value of house 1 after two years}=8837.4

We can see from our given table that the value of house 1 is not increasing at a constant rate, while a linear function has a constant rate of change, therefore, an exponential function can be used to describe the value of the house 1 after a fixed number of years.

\text{Increase in value of house 2 after one year}=295,000-286,000

\text{Increase in value of house 2 after one year}=9,000

\text{Increase in value of house 2 after two years}=304,000-295,000

\text{Increase in value of house 2 after two years}=9,000

We can see from our given table that the value of house 2 is increasing at a constant rat that is $9,000 per year. Since a linear function has a constant rate of change, therefore, a linear function can be used to describe the value of the house 2 after a fixed number of years.

Part B:

Let x be the number of years after Dominique bought the house 1.

Since value of house 1 is increasing exponentially, so let us find increase percent of value of house 1.

\text{Increase }\%=\frac{\text{Final value-Initial value}}{\text{Initial value}}\times 100

\text{Increase }\%=\frac{294,580-286,000}{286,000}\times 100

\text{Increase }\%=\frac{8580}{286,000}\times 100

\text{Increase }\%=0.03\times 100

\text{Increase }\%=3

\text{Increase }\%=\frac{303,417.40-294,580}{294,580}\times 100

\text{Increase }\%=\frac{8837.4}{294,580}\times 100

\text{Increase }\%=0.03\times 100

\text{Increase }\%=3

Therefore, the growth rate of house 1's value is 3%.

Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For growth b is in form (1+r), where, r is rate in decimal form.

3\%=\frac{3}{100}=0.03

Upon substituting our values in exponential function form we will get,

f(x)=286,000(1+0.03)^x, where, f(x) represents the value of the house 1, in dollars, after x years.

Therefore, the function f(x)=286,000(1.03)^x represents the value of house 1 after x years.

Let x be the number of years after Dominique bought the house 2.

We can see that when Dominique bought house 2 it has a value of $286,000. This means that at x equals 0 value of house will be $286,000 and it will be our y-intercept.

Since value of house 2 is increasing 9000 per year, therefore, slope of our line be 9000.

Upon substituting these values in slope-intercept form of equation (y=mx+b) we will get,

f(x)=9000x+286,000, where, f(x) represents the value of the house 2, in dollars, after x years.

Therefore, the function f(x)=9000x+286,000 represents the value of house 2 after x years.

Part C:

Since values in exponential function increases faster than linear function, so the value of house 1 will be greater than value of house 2.

Let us find the value of house 1 and house 2 by substituting x=25 in our both functions.

f(25)=286,000(1.03)^{25}

f(25)=286,000*2.0937779296542148

f(25)=598820.48788

We can see that value of house 1 after 25 years will be approx $598,820.48.

f(25)=9000*25+286,000

f(25)=225,000+286,000

f(25)=511,000

We can see that value of house 2 after 25 years will be approx $511,000.

Since $511,000 is less than $598820.48, therefore, value of house 1 is greater than value of house 2.

6 0
3 years ago
Read 2 more answers
Need to find the volume. measurements in picture, please help.​
o-na [289]

Answer:

V = 288.5 yd^{3}

Step-by-step explanation:

To find the volume of a cone, use this equation:

V = \pi r^{2}\frac{h}{3}

r = radius

h = height

We aren't given the height of the cone, just the length of the side. To find the height use the Pythagorean Theorem:

a^{2}+ b^{2}= c^{2}

The value of 12.1 yds is the hypotenuse and the radius is the value of one of the legs. So, set it up like this:

a^{2}+5^{2}  =12.1^{2}

Now, solve:

a^{2}+25=  146.41                   Distribute the square

a^{2} =  121.41                           Subtract 25 from 146.41

\sqrt{a^{2} }=\sqrt{121.41}

a = 11.01862

So, the height is equal to 11.01862 yds.

Now, we can plug everything into the volume equation:

V = \pi (5)^{2}\frac{11.01862}{3}

Simplify (use calculator):

V = 288.5 yd^{3}

So, the volume of the cone is equal to 288.5   yd^{3}

5 0
2 years ago
Last year the school choir had 25 members. This year the. Hiro has 33 members what is the percent of increase in the number of m
mixer [17]

Answer:

25 x 4 = 100

8 x 4 = 32 %

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Simplify 2^-6 times 2^3
    14·2 answers
  • Find the length of y. assume the triangles are similar
    9·2 answers
  • This is 70 points I will report anyone who answers wrong just for points! I will be asking TWO questions Please answer correctly
    13·1 answer
  • Assume that human body temperatures are normally distributed with a mean of 98.22 degrees Upper F 98.22°F and a standard deviati
    11·1 answer
  • 4+(-7) what is the solution
    6·2 answers
  • Assume that you don’t know any kind of longhand method of division. Explain how you can use reasoning to calculate 495 ÷ 35
    10·1 answer
  • What is another way to write 3427.68 divided by 54
    12·2 answers
  • #11 (Angles with Equations) In the figure below, 2POR is 180°.
    8·1 answer
  • Simplify: 3.59 x 106 : 9.5 x 10-6
    5·2 answers
  • How do I find the area of the shape in the picture? Height is 5 and radius is 2
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!