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3 years ago

HELP PLEASEEEEE!!!!!!!!!!!!

Mathematics

2 answers:

iris [78.8K]3 years ago

8 0

What is wrong with it

Gnom [1K]3 years ago

4 0

Answer:

ohk BTW what help do you need

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1 -For what value of x is line a parallel to line b

IgorC [24]

Answer:

1) x = 17, line a parallel to line b

2) x = 18, line a parallel to line b

Step-by-step explanation:

If line a parallel to line b then (10x - 40) + 50 = 180

Solve for x

10x - 40 + 50 = 180

Combine like terms

10x + 10 = 180

10x = 170

x = 17

x = 17, line a parallel to line b

-------------------------------------------------

If line a parallel to line b then 5x - 16 = 74

Solve for x

5x - 16 = 74

5x = 90

x = 18

x = 18, line a parallel to line b

4 0

3 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

A standard deck of 52 playing cards consists of four suits (hearts, spades, diamonds and clubs). Spades and clubs are black whil

Mila [183]

Answer: Hello there!

in a deck of 52 cards, you have 26 red cards and 4 kings, where 2 kings are also red cards, so we could discard them.

We want to know the probability of drawing a red card or a king whem we draw at random, then all the cards have the same probability. This is the quotient between the number of red cards or kings and the total number of cards:

p = 26/52 + 2/52 = 28/52 = 0.48

then you have a 0.48 (or 48%) probability to get a red card or a king.

3 0

3 years ago

Seven pounds of coffee cost $24.15. How much would two pounds of coffee<br> cost?

lara31 [8.8K]

Step-by-step explanation:

the answer is $6.90 is what 2 pounds cost

3 0

3 years ago

Who knows how to find slopes when given a table ?

blsea [12.9K]

Answer:

Do carrots y divided by the x

Step-by-step explanation:

8 0

3 years ago