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AveGali [126]
3 years ago
6

Find the domain and range of the exponential function h(x) = 125 x

Mathematics
1 answer:
NARA [144]3 years ago
8 0
Domain is all real numbers.
Range is all real numbers geater than 0
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The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greate
KIM [24]

a + b ≥ 30,  b ≥ a + 10, the system of inequalities could represent the values of a and b

option A

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

Here we have , The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, We need to find which system of inequalities could represent the values of a and b . Let's find out:

Let two numbers be a and b where b>a . Now ,

  • The sum of two positive integers, a and b, is at least 30

According to the given statement we have following inequality :

⇒ a+b\geq 30

  • The difference of the two integers is at least 10

According to the given statement we have following inequality :

⇒ b-a\geq 10

⇒ b-a+a\geq 10 +a

⇒ b\geq 10 +a

Therefore , Correct option is A) a + b ≥ 30,  b ≥ a + 10

8 0
2 years ago
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John had 2/3 of his homework done sarah had 5/10 alex 7/8 and michelle 1/2 who complete most of the homework
Greeley [361]
It would be Alex. John finished 66.6 percent of his homework, Sarah completed 50 percent, and Michelle completed 50 percent of her homework. While Alex has completed 87.5 percent of his homework.
7 0
2 years ago
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Write two different rational functions whose graphs have the same end behaviour as the graph of y=3x^2
baherus [9]

Answer:

               y=x^2+5x+20\\ \\ y=8x^2+35

Explanation:

The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.

Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.

The limits of the quadratic function of general form y=ax^2+bx+c as x approaches negative infinity or infinity, when a  is positive, are infinity.

That is because as the absolute value of x gets bigger y becomes bigger too.

In mathematical symbols, that is:

\lim_{x \to -\infty}3x^2=\infty\\ \\ \lim_{x \to \infty}3x^2=\infty

Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².

Two examples are:

         y=x^2+5x+20\\ \\ y=8x^2+35

5 0
3 years ago
Need help with math pls help me will mark brainiest.
saw5 [17]

Answer:

The slope is \frac{-1}{3}.

Step-by-step explanation:

Math Vocabulary            Values

Vertical Change                 -1

Horizontal Change             3

Slope                                   \frac{-1}{3}

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2 years ago
How much is 74 divided by 4
exis [7]

Answer:

18.5

Step-by-step explanation:

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2 years ago
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