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zheka24 [161]
3 years ago
9

Write and algebraic expression for 10 less than the product of seven and F

Mathematics
1 answer:
denis23 [38]3 years ago
5 0

Answer:

f(x) = 7x-10

Step-by-step explanation:

Complete question;

Write and algebraic expression for 10 less than the product of seven and a number.

Let the number be x;

The product of seven and the number is expressed as;

= 7 * x

= 7x

If 10 is less than the product of seven and a number then the expression becomes

7x - 10

The required algebraic expression is f(x) = 7x-10

You might be interested in
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
You have a monthly budget percentage of 5% for marketing your projected sales for the month of March are $300,000 what is the am
fgiga [73]

Answer:

<u>$15,000</u> is the amount to spend on marketing in the month of March.

Step-by-step explanation:

Given:

You have a monthly budget percentage of 5% for marketing.

Your projected sales for the month of March are $300,000.

Now, to find the amount spend on marketing:

Rate of marketing = 5%.

Projected sales for the month of March = $300,000.

Now, to get the amount spend on marketing in March:

<u><em>5% of $300,000.</em></u>

=\frac{5}{100} \times 300,000

=0.05\times 300,000

=15,000.

Therefore, $15,000 is the amount to spend on marketing in the month of March.

7 0
3 years ago
Juan deposited $200 in savings account earning 3% interest over 2 years .
hoa [83]
I'm not too sure about this one but if you find 3% of $200 you get 6 and if you multiply that by 2 ( for the 2 years ) you'll get ( A $12 )
6 0
3 years ago
Beth walks 0.5 miles on each trip to the park. How far will Beth walk if she makes 8 trips to the park?
PtichkaEL [24]

Answer:

Beth walked 4 miles.

Step-by-step explanation:

If beth walks 0.5 miles each trip, you multiply 0.5 by the number of trips. So if she made 8 trips to the park, you would multiply 0.5 by 8.

8 0
3 years ago
The solution of this equation has an error. Which of the following steps has an error
Vanyuwa [196]

Answer:

step 2

Step-by-step explanation:

step 1 is good: -5x + 8 = 7

step 2 (error): meant to subtract 8 on both sides

-5x = 7 - 8

-5x = -1

step 3 : divide -5 on both sides

x = -1 / -5

x = 1/5

4 0
2 years ago
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