Answer:
The answer is 21.3
Step-by-step explanation:
Answer:
Step-by-step explanation:
A function
is the inverse of f if whenever y =f(x) and
To find the inverse of f(x) =
- 5, we use the following steps:
- Step 1 : Put y for f(x) and solve for x
y =
- 5
<=>
= y + 5
<=> x = ![\sqrt[3]{y+ 5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%2B%205%7D)
- Step 2: Put
for x, we have:
- Step 3: Interchange y =x, we have
Let Calculate 3 points on f(x)
x = 0 => y = -5
x = 1 => y = -4
x = 2 => y = 3
Let Calculate 3 points on
(x)
x = -5 => y = 0
x = -4 => y = 1
x = 3 => y = 2
Yes, the inverse is correct because:
- the domain of the inverse function is the range of the original function
- the range of the inverse function is the domain of the original function
The term dilate means that the new cone is wider, broader, or bigger than the cone in the given. I would assume that the given scale is 1:3. This means that the dimensions of the second one is 3 times than those of the first. We cube 3 and multiply the answer with the given volume of the original cone in order to solve for the volume of the second cone. That is,
volume of second cone = (1350 m³)(3³)
= 36,450 cm³
The teacher spend some amount on buying costumes and microphones for 6 cast members.
<u>GiveN</u><u>:</u>
- Cost of each costume = $38
- Cost of each microphone = $c
- Total money spent = $354
Let's frame the equation. Total money is the total amount spent for 6 cast members.
Money spent on costumes = $38 × 6
Money spent on microphone = $c × 6
<u>Equation:</u>

Taking 6 as common,

Dividing 6 from both sides,


Solving further,


So, the cost of each microphone = <u>$21</u>
The teacher spent this much on each microphone.
#CarryOnLearning
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Answer:
D) 26.04 ft
Step-by-step explanation:
Let's set up a equation with two ratios:

Plug in the given lengths into the equation:

We can solve this using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second by the denominator of the first):

D) 26.04 ft