Answer:
C would be the answer!
Step-by-step explanation:
The line goes down so its a negative and if you count the dots it is -3/5 which double is - 6/10:)
Answer:
The correct answer is third option
2^8p = 2^(5p + 15)
Step-by-step explanation:
<u>Points to remember</u>
<u>Identities</u>
(xᵃ)ᵇ = xᵃᵇ
<u>To find the correct option</u>
It is given that,
16^2p = 32^(p + 3)
16 = 2⁴ and 32 = 2⁵
16^2p = 32^(p + 3) can be written as,
(2⁴)^2p = (2⁵)^(p + 3)
2^8p = 2^(5p + 15)
The correct answer is third option
2^8p = 2^(5p + 15)
Answer:
Step-by-step explanation:
Circumference =π×diameter
30π=π×diameter
Diameter=30π÷π
Diameter=30in
Let x represent the smallest angle. Then the largest is 3x, and the remaining angle is 180-4x. The problem statement tells us
.. 3x > 180 -4x > x
Adding 4x gives us
.. 7x > 180 > 5x
or
.. 36 > x > 180/7 = 25 5/7
The angles, smallest to largest, are
.. x, 4(45 -x), 3x
where 25 5/7 < x < 36
The angles could be, for example, any of ...
.. 26°, 76°, 78°
.. 30°, 60°, 90°
.. 32°, 52°, 96°
.. 35°, 40°, 105°
and an infinite number of other possibilities.
Solution: x ≥ -5
<h2>Steps</h2>
Domain Definition: The domain of a function is the set of input or argument values for which the function is real and defined
<u>squareroot 2x + 10</u> ⇒ <u>2x + 10 ≥ 0</u>
Solve 2x + 10 ≥ 0:
Subtract 10 from both sides
2x + 10 - 10 ≥ 0 - 10
Simplify
2x ≥ -10
Divide both sides by 2
2x / 2 ≥ -10 / 2
Simplify
2x / 2
Divide the numbers: <u>2 / 2 = 1</u>
= x
Note: x has the same value as 1
Divide the numbers: -10 / 2 = -5
= -5
The function domain is
x ≥ -5
