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Alex17521 [72]
2 years ago
14

Last​ month, Stephen neighbors paid him to take care of their fish when they went on vacation. HeHe spent ​$5 of his earnings on

an afternoon snack and ​$17 on a new book.​ Afterward, he had no more than ​$6 left. How can you best describe how much Stephen neighbors paid him​?
Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
3 0

Answer:

Stephen's neighbors paid Stephen no more that $28.

Step-by-step explanation:

Given:

Stephen spent $5 of his earnings on snack.

He spent $17 in a new book.

He is left with no more than $6 left.

To describe how much Stephen's neighbors paid him.

Solution:

Let Stephen's earnings in dollars be = x

Amount left after spending on snacks in dollars = x-5

Amount left after spending on a new book in dollars = x-5-17 = x-22

The amount remaining is no more than $6.

Thus, the inequality representing the situation can be given as:

x-22\leq6

Solving for x

Adding 22 both sides.

x-22+22\leq6+22

x\leq 28

Thus, Stephen's neighbors paid Stephen no more that $28.

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Which function is undefined for x = 0? y=3√x-2 y=√x-2 y=3√x+2 y=√x=2
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For this case, we have to:

By definition, we know:

The domain of f (x) = \sqrt [3] {x} is given by all real numbers.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root. Thus, it will always be defined.

So, we have:

y = \sqrt [3] {x-2} withx = 0: y = \sqrt [3] {- 2} is defined.

y = \sqrt [3] {x+2}with x = 0:\ y = \sqrt [3] {2} is also defined.

f (x) = \sqrt {x}has a domain from 0 to ∞.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.

Thus, we observe that:

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Answer:

y = \sqrt {x-2}

Option b

6 0
3 years ago
ABCD is a trapezoid. = 1 cm and = 5 cm, and the area = 7.5 cm2. What is the altitude of the trapezoid? 1.5 cm 2.5 cm 3 cm 2 cm
Ludmilka [50]

Answer:

2.5cm

Step-by-step explanation:

area of a trapeziod = 1/2 (a+b)×h

a=1cm

b=5cm

h=?

area= 7.5cm^2

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8 0
3 years ago
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then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 = <span> <span> <span> 3.1622776602 </span> </span> </span>
x1 = <span> <span> <span> 13.1622776602 </span>
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x2 = 10 -<span> <span> <span> 3.1622776602
x2 = </span></span></span> <span> <span> <span> 6.8377223398 </span> </span> </span>


4 0
3 years ago
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I don’t understand what you mean
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