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Ne4ueva [31]
3 years ago
7

Jerry is saving money for a job. After the first 3 weeks he saved $135. Assuming the situation is proportional. Use the unit Rae

to write an equation rearing the amount saved s to the number of weeks w worked. At this rate how much will Jeremiah have after 8 weeks?
Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

The equation would be s = 45w and she would have 360 in 8 weeks.

In order to find this, we first have to find the per week amount. To find this, we divide the amount by the number of weeks.

135/3 = 45

Now that we have this we can multiply that by the variable and set equal to the total amount.

s = 45w

Now to find the amount in 8 weeks, simply plug in the 8 to w.

s = 45w

s = 45(8)

s = 360

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Uhh help lol<br> 5.3x + y = 28.5 <br> 4.2x + 3.1y = 27.2<br> find x and y
navik [9.2K]

Answer:

x = 5, y = 2

Step-by-step explanation:

First, isolate y in the top equation.

y = -5.3x+28.5

Next, substitute y in the bottom equation.

4.2x + 3.1(-5.3x + 28.5) = 27.2

5.3x + y = 28.5

Simplify.

4.2x + -16.43x + 88.35 = 27.2

Combine like terms.

-12.23x + 88.35 = 27.2

Isolate x on one side.

-12.23x = -61.15

Isolate x.

x = 5

Substitute x into 5.3x + y = 28.5

5.3(5) + y = 28.5

Simplify.

26.5 + y = 28.5

Isolate y.

y = 2

x = 5 \\y = 2

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3 years ago
What is the length of BC PLEASE HELP ME ILL GIVE YOU BRAINLIEST
Gnesinka [82]

Answer:

BC = 2.149

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7 0
2 years ago
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The limit as x approaches 1 from the left, with the square root of x minus 1 over x minus 1
EastWind [94]
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4 0
2 years ago
Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one pers
iogann1982 [59]

Answer:

  • 10 -- $10k to any one person
  • 20 -- $20k to all persons, total
  • 5 -- $5k for property damage

  all are <em>maximum</em> values

Step-by-step explanation:

Insurance contracts specify <em>maximum</em> payments, not <em>minimum</em> payments. The numbers mean ...

The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.

The 20 means it will pay a maximum of $20,000 total to people injured in one accident.

The 5 means that it will pay a maximum of $5,000 in property damage for one accident.

6 0
3 years ago
The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5
notsponge [240]
<h2>                      Question # 1</h2>

Answer:

25 is the factor which grows by between x = 5 and x = 7.

Step-by-step explanation:

Considering the exponential function

f\left(x\right)\:=\:3\left(5\right)^x

The growth factor between x=1 and x=3 is given by:

\left[3\left(5\right)^3\right]\div \left[3\left(5\right)^1\right]

\mathrm{Calculate\:within\:parentheses}\:\left[3\left(5\right)^3\right]\::\quad 375

\mathrm{Calculate\:within\:parentheses}\:\left[3\left(5\right)^1\right]\::\quad 15

So,

= 375\div \:15

= 25  

Similarly, growth factor between x=5 and x=7 is given by:

\left[3\left(5\right)^7\right]\div \left[3\left(5\right)^5\right]

= \frac{3\cdot \:5^7}{3\cdot \:5^5}

\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1

= \frac{5^7}{5^5}

\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}

\frac{5^7}{5^5}=5^{7-5}

= 5^{7-5}

= 5^2

= 25

Therefore, 25 is the factor which grows by between x = 5 and x = 7.

<h2>                         Question # 2</h2>

Answer:

The population be in 24 years will be 27000.

Also, the population growth modeled by an exponential function as y=A\cdot \left(b\right)^t is an exponential function.

The graph for y=A\cdot \left(b\right)^t is also shown in attached figure.

Step-by-step explanation:

  • If a city that currently has a population of 1000 triples in size every 8 years.
  • what will the population be in 24 years?
  • Is the population growth modeled by a linear function or an exponential function?

As the city that currently has a population of 1000 triples in size every 8 years.

So, for this case

y=A\cdot \left(b\right)^t

where

A = Initial population amount

b = growth rate

t = time

Substituting the values in the function

y=A\cdot \left(b\right)^t

y=1000\cdot \:\:3^{\frac{1}{8}t}

So, the population be in 24 years

y=1000\cdot \:\:3^{\frac{1}{8}24}

As

3^{\frac{1}{8}\cdot \:24}=3^3

So

\:y=3^3\cdot 1000

y=1000\cdot \:\:27

y=27000

Therefore, the population be in 24 years will be 27000.

Also, the population growth modeled by an exponential function as y=A\cdot \left(b\right)^t is an exponential function.

<h2 /><h2>                       Question # 3</h2>

Answer:

the graph of the function will translate horizontally 3/5 units right.

Step-by-step explanation:

We have to find the effect on the graph of the function f(x)=2x when it is replaced by f(x- 3/5).

We already have an idea that rule for horizontal translation:

  • Given a function f(x), and a constant c > 0, the function g(x) = f(x - a) represents a horizontal shift c units to the right from f(x). The function h(x) = f(x + a) represents a horizontal shift c units to the left.

As 3/5 > 0, so the graph of the function will translate horizontally 3/5 units right.

Therefore, the graph of the function will translate horizontally 3/5 units right.

Keywords: exponential function, translation function, growth factor

Learn more about exponential function and growth factor form brainly.com/question/10147339

#learnwithBrainly

6 0
3 years ago
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