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Aleonysh [2.5K]
3 years ago
7

Select all the correct locations on the table.

Mathematics
1 answer:
katovenus [111]3 years ago
8 0
Exercise 1:
 
exponential decay:
 The function is given by:
 y = A (b) ^ ((1/3) * t)
 Where,
 A = 600
 We look for b:
 (480/600) * (100) = 80%
 b = 0.8
 Substituting:
 y = 600 * (0.8) ^ ((1/3) * t)
 We check for t = 6
 y = 600 * (0.8) ^ ((1/3) * 6)
 y = 384
 Answer:
 
exponential decay:
 
y = 600 * (0.8) ^ ((1/3) * t)
 Exercise 2:
 
linear:
 The function is given by:
 y = ax + b
 Where,
 a = -60 / 2 = -30
 b = 400
 Substituting we have:
 y = -30 * x + 400
 We check for x = 4
 y = -30 * 4 + 400
 y = 280
 Answer:
 
linear:
 
y = -30 * x + 400
 Exercise 3:
 
exponential growth:
 The function is given by:
 y = A (b) ^ ((1/3) * t)
 Where,
 A = 512
 We look for b:
 (768/512) * (100) = 150%
 b = 1.5
 Substituting:
 y = 512 * (1.5) ^ ((1/2) * t)
 We check for t = 4
 y = 512 * (1.5) ^ ((1/2) * 4)
 y = 1152
 Answer:
 
exponential growth:
 
y = 512 * (1.5) ^ ((1/2) * t)
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5 0
3 years ago
Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0.
azamat

The interval notation to express the set of real numbers <u>x</u> that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

<h3>Inequality</h3>

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

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8 0
1 year ago
Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.
padilas [110]

The  expressions that could represent how much Leila pays in total for the model

\dfrac{107}{100}x

100 107 Option A is correct.

This is further explained below.

<h3>Which of the following expressions could represent how much Leila pays in total for the model?</h3>

The price of the model is  x

Now we are given that she also has to pay a 7  tax.

Amount of tax =7 % x

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the Total cost=x+\frac{7}{100} x

=\frac{107}{100} x

In conclusion, the statement might signify Leila's overall cost for the model. \frac{107}{100} x

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3 0
1 year ago
5 1/3 in decimal form​
STatiana [176]

Answer:

5.33

Step-by-step explanation:

5+1/3

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7 0
3 years ago
Read 2 more answers
Evalue f(x)=(-2)^2-3(-2)+5/(-2)^2+1
Nina [5.8K]
F(x)=4+6+5/4+1
F(x)=4+6+5/5
F(x)=10+1=11

Answer =11
8 0
2 years ago
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