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3 years ago

Choose the correct domain of the function in interval notation.

Mathematics

2 answers:

neonofarm [45]3 years ago

8 0

Answer:

domain : (-∞,∞)

Step-by-step explanation:

Domain is the set of x values for which the function is defined

To find domain we check the x value for which the function is undefined

In the give graph , the graph is continuous and smooth.

There is no break in the graph.

We have graph for all values of x

So domain is set of all real values

domain : (-∞,∞)

kari74 [83]3 years ago

3 0

The domain of a function is where the x of the function starts and finishes , but as that function doenst have an end or beginning, its domain is a) from negative infinity to infinity

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24, 12,6,...<br> Find the 8th term.

Zinaida [17]

Answer:

Divide 24 24 by 8 8 . a4= ...

Step-by-step explanation:

6 0

2 years ago

If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21

Ilya [14]

This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34 + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

$\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}$

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}$

and now let's use those 2 found folks, to get the 21st term,

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104$

3 0

2 years ago

When a baseball is hit by a batter the height of the ball age of T at time TT equals zero is determined by the equation age of T

Luda [366]

Answer:

1 ≥ t ≤ 3

Step-by-step explanation:

Given

h(t) = -16t² + 64t + 4

Required

Determine the interval which the bar is at a height greater than or equal to 52ft

This implies that

h(t) ≥ 52

Substitute -16t² + 64t + 4 for h(t)

-16t² + 64t + 4 ≥ 52

Collect like terms

-16t² + 64t + 4 - 52 ≥ 0

-16t² + 64t - 48 ≥ 0

Divide through by 16

-t² + 4t - 3 ≥ 0

Multiply through by -1

t² - 4t + 3 ≤ 0

t² - 3t - t + 3 ≤ 0

t(t - 3) -1(t - 3) ≤ 0

(t - 1)(t - 3) ≤ 0

t - 1 ≤ 0 or t - 3 ≤ 0

t ≤ 1 or t ≤ 3

Rewrite as:

1 ≥ t or t ≤ 3

Combine inequality

1 ≥ t ≤ 3

5 0

1 year ago

F(-9)=7x+6 <br> what would the value of F(-9) be?

shusha [124]

Answer: -57
Hope it’s helps

4 0

5 months ago

In your own words, explain the steps needed to rewrite an equation so that it is "FRACTION" free

leva [86]

Answer:

Fractions are the same things as division

Step-by-step explanation:

For example:

8/12

is the same thing as

8 ÷ 12

hope this helps

have a great day

7 0

2 years ago