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nikklg [1K]
4 years ago
15

Evaluate f(-3) and f(5) with the equation f(x)=3x+5

Mathematics
2 answers:
Harlamova29_29 [7]4 years ago
7 0

Answers are provided in the images

OLga [1]4 years ago
4 0
See photos for solutions and steps :)

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Beth says that the graph of g(x) = + 1 is a translation of 5 units to the left and 1 unit up of f(x) = . She continues to explai
Nata [24]

Beth's description of the transformation is incorrect

<h3>Complete question</h3>

Beth says that the graph of g(x)=x-5+1 is a translation of 5 units to the left and 1 unit up of f(x) = x. She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x). Is Beth's description of the transformation correct? Explain

<h3>How to determine the true statement?</h3>

The functions are given as:

g(x) = x - 5 + 1

f(x) = x

When the function f(x) is translated 5 units left, we have:

f(x + 5) = x + 5

When the above function is translated 1 unit up, we have:

f(x + 5) + 1 = x + 5 + 1

This means that the actual equation of g(x) should be

g(x) = x + 5 + 1

And not g(x) = x - 5 + 1

By comparison;

g(x) = x - 5 + 1 and g(x) = x + 5 + 1  are not the same

Hence, Beth's description of the transformation is incorrect

Read more about transformation at:

brainly.com/question/17121698

#SPJ1

7 0
2 years ago
The ticket booth at a school play sells 170 adult tickets and 150 student tickets. Find the ratio of adults to students. Write y
Zigmanuir [339]

Answer: 17:15

Step-by-step explanation:

From the question, we are informed that the ticket booth at a school play sells 170 adult tickets and 150 student tickets.

The ratio of adults to students will be:

= 170/150

= 17:15

The ratio is therefore 17:15.

5 0
3 years ago
Plz help me with my hw plz it's proportional relationships and please include the equation
Sphinxa [80]
The constant of proportionality is k = y/x.....k = 40/200 = 1/5

y = mx + b
slope(m) = 1/5
(200,40)...x = 200 and y = 40
now we sub...we r looking for b, the y int

40 = 1/5(200) + b
40 = 40 + b
40 - 40 = b
0 = b

so ur equation is : y = 1/5x

if pop star earned 800
800 = 1/5x
800 * 5 = x
4000 = x
3 0
3 years ago
David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the
tamaranim1 [39]

Using compound interest, it is found that:

a) A(8) = 2389.66

b) t = 31.15

c) P = 1870.85

Compound interest:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

  • A(t) is the amount of money after t years.  
  • P is the principal(the initial sum of money).  
  • r is the interest rate(as a decimal value).  
  • n is the number of times that interest is compounded per year.  
  • t is the time in years for which the money is invested or borrowed.

In this problem:

  • The APR is of 2.25%, hence r = 0.0225.
  • No information about the number of compounding per year, hence n = 1.

Item a:

P = 2000, hence:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}

A(8) = 2389.66

Item b:

A(t) = 4000, hence:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}

(1.0225)^t = 2

\log{(1.0225)^t} = \log{2}

t\log{1.0225} = \log{2}

t = \frac{\log{2}}{\log{1.0225}}

t = 31.15

Item c:

A(3) = 2000, hence:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}

P = \frac{2000}{(1.0225)^3}

P = 1870.85

A similar problem is given at brainly.com/question/24850750

7 0
2 years ago
What is the domain of the function?<br><br> Enter your answer in the box below.
Kay [80]

Answer:

The domain is the value of x for which the function is defined

Domain={x|-6≤x≤8}

7 0
3 years ago
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