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tino4ka555 [31]
3 years ago
10

What is 72 divided by 4

Mathematics
2 answers:
olganol [36]3 years ago
7 0

Answer:

18

Step-by-step explanation:

18 times 4 is 72

ser-zykov [4K]3 years ago
6 0
\frac{72}{4}= \frac{36}{2} = 18
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Exercise 3.5. For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ [x^2 − 25}.
masya89 [10]

a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

b. The inverse image of g(x) is g^{-1}(x) = e^{x}

c. The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

<h3 /><h3>The domain of T</h3>

Since T = {x ∈ R : 0 ≤ [x^2 − 25} ⇒ x² - 25 ≥ 0

⇒ x² ≥ 25

⇒ x ≥ ±5

⇒ -5 ≤ x ≤ 5.

<h3>Inverse image of f(x)</h3>

The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

f : R → R defined by f(x) = 3x³

Let f(x) = y.

So, y = 3x³

Dividing through by 3, we have

y/3 = x³

Taking cube root of both sides, we have

x = ∛(y/3)

Replacing y with x we have

y = ∛(x/3)

Replacing y with f⁻¹(x), we have

So,  the inverse image of f(x) is f⁻¹(x) = ∛(x/3)

<h3>Inverse image of g(x)</h3>

The inverse image of g(x) is g^{-1}(x) = e^{x}

g : R+ → R defined by g(x) = ln(x).

Let g(x) = y

y =  ln(x)

Taking exponents of both sides, we have

e^{y} = e^{lnx} \\e^{y} = x

Replacing x with y, we have

y = e^{x}

Replacing y with g⁻¹(x), we have

So, the inverse image of g(x) is g^{-1}(x) = e^{x}

<h3>Inverse image of h(x)</h3>

The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

h : R → R defined by h(x) = x − 9

Let y = h(x)

y = x - 9

Adding 9 to both sides, we have

y + 9 = x

Replacing x with y, we have

x + 9 = y

Replacing y with h⁻¹(x), we have

So, the inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

Learn more about inverse image of a function here:

brainly.com/question/9028678

5 0
2 years ago
PLEASE ANSWER THIS I BEG FOR YOUR MERCY!!!!!!!!!!!! if you dont know....dont answer
Andreyy89

Answer:

the answer is the second choice

Step-by-step explanation:

hopefully this helps :)

8 0
2 years ago
You know whats up, please help me ahha.
Rom4ik [11]

Answer:

0.07

Step-by-step explanation:

     0.07  - quotient

  ____

4/0.28     - divided

l

divisor

4 0
2 years ago
Does y=7x represent a proportional relationship?<br> Help me please thanks.
noname [10]

Answer: Yes because it will stay proportional the whole time. 1:7, 2:14, 3:21...

Hope this helps!

7 0
3 years ago
sherman has 7 cats and 3 dogs. he wants to buy a toy for each of his pets sherman has 72 to spend on ret toys how much can he sp
34kurt
Hi, does it include any other information? such as how much each toy costs? without that information we can’t solve it since there could be infinite amount of answers
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3 years ago
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