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Vinvika [58]
3 years ago
6

7

Mathematics
1 answer:
Valentin [98]3 years ago
5 0

9514 1404 393

Answer:

  A.  -1 ≤ x ≤ 3

Step-by-step explanation:

The range is the horizontal extent of the graph--the set of x-values for which the function is defined. Here, the graph extends from x = -1 to x = 3, with both end points included. The range is ...

  -1 ≤ x ≤ 3

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Can someone explain the process getting from:
spin [16.1K]
\rm 5=e^{3b}

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

\rm log_e(5)=log_e(e^{3b})

We'll apply one of our log rules next:
\rm \log(x^y)=y\cdot\log(x)

This allows us to take the exponent out of the log,

\rm log_e(5)=(3b)log_e(e)

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
\rm log_{10}(10)=1
\rm log_5(5)=1
\rm log_e(e)=1

So our equation simplifies to this,

\rm log_e(5)=(3b)\cdot1

As a final step, divide both sides by 3,

\rm \frac13log_e(5)=b

k, hope that helps!


6 0
3 years ago
Which of the following sets of integers is listed in descending order?
valentina_108 [34]
Your answer is J. because descending means it’s getting smaller
6 0
3 years ago
Read 2 more answers
Find the value of x. Round to the nearest tenth.
Reika [66]
Using SOH CAH TOA, you have the Opposite side and you need to work out the Hypotenuse so you will use SOH. This means that the opposite divided by the sine of the angle is the hypotenuse: 18/sin(35) = x = 31.4
4 0
4 years ago
A rectangle whose perimeter is 110 feet. The length is 4 times as long as the width. Find the length and the width.
madreJ [45]
Set up a system of equations.
l=4w
2l+2w=110

Substitute l in to the second equation.
2(4w)+2w=110
8w+2w=110
10w=110
w=11

Substitute w back into the first equation.
l=4(11)=44

So, the length is 44 feet and the width is 11 feet.

Hope this helped!
8 0
3 years ago
Which statement best justifies whether (x – 3) is a factor of the polynomial p(x) = x - 3x? - 2x - 6?
Alinara [238K]

Answer:

It is not a factor

Step-by-step explanation:

It is because p(x)=-12 at x=3

6 0
3 years ago
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