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Aleks04 [339]
4 years ago
8

I NEED HELP ASAP Please Draw the dots on it

Mathematics
1 answer:
Korolek [52]4 years ago
5 0

In the attached image, I have plotted, in correct spaces.

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HELP ASAP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!
Sergio039 [100]

Answer:

The order from least to greatest is: h(x), g(x), f(x)

This is true for x = 3, x = 6, and x = 15

The function values are given in a table as shown in the attached image.

===============================

Explanation:

For each function, we replace x with the specified value. Then we compare the outputs to see which is larger.

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

Let's plug x = 3 into each function

Start with f(x)

f(x) = x^2 + 10x - 5

f(3) = (3)^2 + 10(3) - 5

f(3) = 34 ... use a calculator, or PEMDAS

Repeat for g(x)

g(x) = 8x+1

g(3) = 8(3)+1

g(3) = 25

and then h(x)

h(x) = 3x-4

h(3) = 3(3)-4

h(3) = 5

The order from least to greatest is h(x), g(x), f(x)

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

Let's plug x = 6 into each function

Start with f(x)

f(x) = x^2 + 10x - 5

f(6) = (6)^2 + 10(6) - 5

f(6) = 91

Repeat for g(x)

g(x) = 8x+1

g(6) = 8(6)+1

g(6) = 49

and then h(x)

h(x) = 3x-4

h(6) = 3(6)-4

h(6) = 14

The order from least to greatest is h(x), g(x), f(x)

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

You don't need to plug x = 15 into each function to know that h is the smallest, followed by g, then f being the largest. This is because the linear functions always have the slowest growth compared to quadratic functions. So f(x) being quadratic is the largest output of all three. The smaller of the linear outputs happens with the smaller slope. Recall that slope is rate of change telling us how fast a function grows (assuming the slope is positive). We see that h(x) has slope 3 compared to g(x) that has a slope of 8

Check out the attached image below. Note how everything to the right of point C, with x coordinate 1.65, is where the functions do not cross one another anymore. Beyond this point, h(x) is always the smallest with slowest growth, followed by g(x) in the middle, and then f(x) is the fastest growing function with the largest outputs for any one single input.

8 0
3 years ago
A person invests 4000 dollars in a bank. The bank pays 5.5% interest compounded annually. To the nearest tenth of a year, how lo
Mademuasel [1]

if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.

<h3>What is an interest in banking?</h3>

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formular for calculating compound interest is expressed as;

A = P(1 + r/n)^(n*t)

Where A is final amount, P is initial principal balance, r is interest rate, n is  number of times interest applied per time period and t is number of time periods elapsed.

Given the data in the question;

  • Initial principal balance P = $4000
  • Interest rate r = 5.5% anuually = 5.5/100 = 0.055
  • Final amount A = $5600
  • Time t = ?

We substitute our given values into the expression above.

A = P(1 + r/n)^(n*t)

5600 = 4000(1 + 0.055/1)^(1*t)

5600 = 4000( 1.055 )^t

( 1.055 )^t = 5600 / 4000

( 1.055 )^t  = 1.4

We take log of each sides

0.02325t = 0.1461

t = 0.1461 / 0.02325

t = 6.3

Therefore, if the person leaves the money in the bank, the time it will take for it to reach the given final amount is 6.3 years.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

8 0
2 years ago
For triangle ABC, which side is opposite angle B?<br><br> AC<br><br> AB<br><br> BC
professor190 [17]
<h3>Answer:</h3>

AC

<h3>Step-by-step explanation:</h3>

The side opposite vertex B will <em>not</em> have B as one of the letters in its designation. That is, sides AB and BC are adjacent, not opposite. Only side AC is opposite angle B.

_____

Side AB is the <em>hypotenuse</em> of this triangle (the longest side; the side opposite the right angle).

4 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
siniylev [52]

Answer:

y = 1x + 15

Step-by-step explanation:

5 0
3 years ago
To make a committee 4 men are chosen out of 6 candidates. What is the probability that 2 certain people will serve on that commi
Ugo [173]

Answer:

The probability that 2 certain people will serve on that committee is 11.11%.

Step-by-step explanation:

Since to make a committee 4 men are chosen out of 6 candidates, to determine what is the probability that 2 certain people will serve on that committee the following calculation must be performed:

4/6 = 2/3

1/3 x 1/3 = X

0.333 x 0.333 = X

0.1111 = X

Therefore, the probability that 2 certain people will serve on that committee is 11.11%.

6 0
3 years ago
Read 2 more answers
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