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3 years ago

Which of the following is not necessarily true?

Mathematics

1 answer:

iogann1982 [59]3 years ago

8 0

Answer:

Step-by-step explanation:

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If f(x)= x-3/x and g(x)= 5x-3, what is the domain of (f•g)(x)

ad-work [718]

$f(x)=\dfrac{x-3}{x},\ D_f:x\neq0\\\\g(x)=5x-3,\ D_g=\mathbb{R}\\\\(f\cdot g)(x)=f(x)\cdot g(x)\\\\(f\cdot g)(x)=\dfrac{x-3}{x}\cdot(5x-3)=\dfrac{(x-3)(5x-3)}{x}\\\\D_{(f\cdot g)}=D_f$

Answer: The domain of (f•g)(x) is all real numbers except for 0

$D=\mathbb{R}-\{0\}$

4 0

3 years ago

Tina's aquarium has a capacity of 40 gallons or water. She plans to stock her aquarium with 0.25 inches of fish per quart of cap

Sonbull [250]

Answer:

The number of mollies fishes in the aquarium is 20 .

Step-by-step explanation:

Given as :

The capacity of aquarium = 40 gallons

∵ 1 gallon = 4 quart

∴ 40 gallons = 4 × 40 = 160 quart

Now, According to question

0.25 inches of fish required 1 quart capacity

I.e for 1 quart capacity , 0.25 inches fish

So. for 160 quart capacity , 0.25 × 160 = 40 inches fishes

Now the size of mollies fish = 2 inches

Then , number of mollies fish = $\dfrac{\textrm total size of fishes}{\textrm size of mollies fish}$

I.e Number of mollies fish = $\frac{40}{2}$ = 20

Hence The number of mollies fishes in the aquarium is 20 . Answer

3 0

2 years ago

What is the length of missing side b in the figure below?

Anna11 [10]

According to the theory
b^2 = (13)^2 - (7)^2
b^2 = 169 - 49 = 120
b= root(120)
b= 10.95 cm

4 0

2 years ago

Read 2 more answers

Solve :3(2x+1)^-1 + 5x=-1<br>

Finger [1]

hope this is ans . Brother

8 0

2 years ago

Factorize: x² + 3x + 2

zvonat [6]

Step-by-step explanation:

x² + 3x + 2

x² + x + 2x + 2 because 1+2=3 and 2×1=2

By taking out common terms, we get

x(x+1)+2(x+1)

(x+1)(x+2)

7 0

3 years ago