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AnnyKZ [126]
3 years ago
6

Salim says he cannot simplify the expression a^m • a^n. Complete the statement about Salim's claim.

Mathematics
2 answers:
wlad13 [49]3 years ago
8 0

Answer:

salim CAN simplify this expression because the two factors HAVE the same BASE

a^m x a^n is the same as A^(M+N)

Step-by-step explanation:

Shkiper50 [21]3 years ago
3 0

Answer:

Salim can simplify that and the answer will be a^m^+^n

Step-by-step explanation:

This is because of the law of multiplying powers, which states that you can add the exponents if the base is the same. So, you just add m and n and put that as the exponent and you will have the answer.

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What are the domain, range, and asymptote of h(x) = (1.4)^x + 5?
Elena L [17]

Answer:

A.Domain:{x\x is a real number }

Range:{y\y>5}

Asymptote :y=5

Step-by-step explanation:

We are given that a function

h(x)=(1.4)^x+5

We have to find the domain, range and asymptote of h(x).

It is exponential function therefore, it is defined for all values of x.

Hence, domain  of h(x)={x| x is a real number}

Substitute x=0 then we get

h(0)=(1.4)^0+5=1+5=6

(a^0=1)

Hence, range of h(x)={y|y>5}

For exponential function,

Horizontal asymptote:a^x\rightarrow 0 when x\rightarrow-\infty

Apply limit x\rightarrow-\infty

\lim_{x\rightarrow-\infty}h(x)=\lim_{x\rightarrow-\infty}(1.4)^x+5=0+5=5

e^{-\infty}=0

\lim_{x\rightarrow \infty}(1.4)^x+5=\infty

Hence, the horizontal asymptote y=5.

6 0
3 years ago
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8 miles in 0.5 hour what rate in miles per hour
yan [13]
In this question it is already given that a person travels 8 miles in 0.5 hours. This is enough information to get to the required answer. Let us first write down all the information's that are already given in the question.
In 0.5 hours the person covers a distance = 8 miles
Then
In 1 hour the person covers a distance of = 8/0.5 miles
                                                                   = 16 miles
So the speed of the person in miles per hour = 16/1 miles/hour
                                                                         = 16 miles per hour
8 0
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Answer: the bottom rectangle is 21 square units

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Step-by-step explanation:

Do 6 times 3.5 to find area of rectangle

Then do 3 times 4 divided by 2 for each of the top triangles

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dangina [55]

Answer:

Step-by-step explanation:

y=2x+4

slope=2

y- intercept=4

slope=\frac{rise}{run}\\2=\frac{4}{run}\\run=\frac{4}{2}=2\\

so draw a line through (0,2) and (2,8)

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Answer:

The answer is 24 pounds

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