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olya-2409 [2.1K]
3 years ago
10

Jacob has 69 flowers for a big party decoration. In addition, he is

Mathematics
1 answer:
Elena-2011 [213]3 years ago
8 0

Answer:

The function is 16x + 69

Domain of the function is [0, 5]

Range of the function is [69, 149]

Step-by-step explanation:

Given - Jacob has 69 flowers for a big party decoration. In addition, he is

planning to buy some flower arrangements that have 16 flowers

each. All of the arrangements cost the same. Jacob is not sure yet

about the number of flower arrangements he wants to buy, but

he has enough money to buy up to 5 of them.

To find - Write a function to  describe how many flowers Jacob can buy.

               Find a reasonable  domain and range for the function.

Proof -

Let us assume that,

The  number of flower arrangements Jacob buys = x

Given that,

Each Flower arrangement have 16 flowers.

So,

x Flower arrangements have 16x flowers.

Also given that, Jacob has 69 flowers for a big party decoration.

So,

Total flowers Jacob can buy, y = 16x + 69

So,

The function is 16x + 69

Now,

Given that, Jacob can buy up to 5 flower arrangements

i.e. x ≤  5

So,

Domain of the function is [0, 5]

Now,

When x = 0

y = 16(0) + 69 = 69

When x = 5

y = 16(5) + 69 = 149

So,

Range of the function is [69, 149]

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Answer:

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Step-by-step explanation:

The area of a rectangle is given by

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A = 2/5 * 4/7

A = 8/35 m^2

4 0
2 years ago
Determine the area under the standard normal curve that lies to the left of (a) Z=081. (b) Z=0.43. (c) Z= -0.33. and (d) Z= 1.04
nasty-shy [4]

Using the normal distribution, the areas to the left are given as follows:

a) 0.7910.

b) 0.6664.

c) 0.3707.

d) 0.8508.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X, and is also the area to the left of Z.

Hence:

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  • The area to the left of Z = 0.43 is of 0.6664.
  • The area to the left of Z = -0.33 is of 0.3707.
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More can be learned about the normal distribution at brainly.com/question/4079902

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4 0
2 years ago
Mrs.Smith has 3 boys to every 5 girls in her class. What percent of her class is boys?
gizmo_the_mogwai [7]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Yesterday, Michelle's Snack Shack went through 3 3/5 bottles of ketchup. If they used 1 3/10 times as much mustard as ketchup, h
Dima020 [189]
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3 years ago
The sum of two numbers is 9 . one number is nine less than twice the other. find the two numbers.
dimulka [17.4K]
Hello!

To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.

x+y=9
x=2y-9

To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.

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We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.

x=2·6-9
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Just to check, we will plug these two numbers into the first equation.


3+6=9
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Our two numbers are three and six.

I hope this helps!
7 0
3 years ago
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