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Elza [17]
3 years ago
13

Given real numbers a,b > 1.

Mathematics
1 answer:
irina [24]3 years ago
8 0

Answer:

FALSE

Step-by-step explanation:

Recall that a function f(x) is of exponential order c, if there exists a constant M such that and a real r such that

|f(x)|\leq Me^{cx}\;(x\geq r)

Now, take a = 2.5 and b = 2

The functions

f(x)=(2.5)^x\;g(x)=2^x

are both exponential of order 1, since  

\lim_{x \to \infty}\frac{f(x)}{e^x}=\lim_{x \to \infty}\frac{g(x)}{e^x}=0

but a>b

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How do you us the distributive property to work out (4+5)6
777dan777 [17]
During Distributive property, the number on the outside of the parenthesis basically gets multiplied by the numbers inside the parenthesis. In this case, you would multiply 6 by 5 and 4. When you get the products, then follow the sign that comes next. In this case, you would add the products to get a total sum. I attached a photo for further reference.
Hope this helps!

7 0
3 years ago
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What is the solution to 3 times the square root of 4 minus 2 times the square root of 4? A. 0 B. 1 C. 2 D. 3
olasank [31]

For this case we have the expression:

"the square root of 4" is represented algebraically as:

\sqrt {4}

Then, we can express the given statement as:

3 \sqrt {4} -2 \sqrt {4} =

They are similar terms, we can subtract:

3 \sqrt {4} -2 \sqrt {4} = \sqrt {4} = \sqrt {2 ^ 2}

By definition of power properties we have that:

\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a

Then the expression is reduced to:

\sqrt {2 ^ 2} = 2

Answer:

3 \sqrt {4} -2 \sqrt {4} = 2

8 0
3 years ago
Classify the polynomial 5m^10
Naily [24]

Answer:

Monomial

Step-by-step explanation:

A polynomial has terms in their equation.

When it is a trinomial, it usually follows the pattern such as x^2+2x+1.

When it is a binomial, it usually is something like x+2

...And finally, when it is a monomial, it can be anything that has just one term. So let's say 4x^8883293483.

The polynomial 5m^10 classifies under a monomial since it only has one term

3 0
2 years ago
Find the x and y intercepts for the equation 2x + 7y = 42.
o-na [289]

Answer:

see explanation

Step-by-step explanation:

Given

2x + 7y = 42

To find the x- intercept let y = 0 in the equation and solve for x

2x + 7(0) = 42, that is

2x = 42 ( divide both sides by 2 )

x = 21 ← x- intercept or (21, 0 )

To find the y- intercept let x = 0 in the equation and solve for y

2(0) + 7y = 42 , that is

7y = 42 ( divide both sides by 7 )

y = 6 ← y- intercept or (0, 6 )

6 0
3 years ago
Which answer shows a correct slope calculation?
Sliva [168]

If the lines with those given slopes go trough 2 points then

A) is correct if the points are (6, 0) and (0, 3)

B) is correct if the points are (0, 0) and (-6, 3)

C) is correct if the points are (-6, 0) and (0, 3)

5 0
3 years ago
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