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3 years ago

If a(x) = 3x + 1 and b(x)=sqrt x-4, what is the domain of (b o a)(x)?

1 answer:

8 0

Assuming that b(x) = sqrt(x-4), then (b o a)(x) = sqrt [ (3x+1) - 4 ]

3x+1-4, the input to function b(x), MUST be ≥ 0. Therefore, 3x - 3 ≥ 0, or
3(x-1) ≥ 0, or x ≥ 1 (answer)

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What is the simplified form of <br><br> (X/3-y/4)/(x/4+y/3) ? (6 points)

Fofino [41]

Option 2: $\frac{4x-3y}{3x+4y}$ is the right answer

Step-by-step explanation:

Given fraction is:

$\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}$

To solve the fraction, Taking LCM in denominator and numerator

$=\frac{\frac{4x-3y}{12} }{\frac{3x+4y}{12}}$

When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,

$= \frac{4x-3y}{12} * \frac{12}{3x+4y}\\=\frac{4x-3y}{3x+4y}$

Hence,

Option 2: $\frac{4x-3y}{3x+4y}$ is the right answer

Keywords: fractions, simplification

Learn more about fractions at:

#LearnwithBrainly

4 0

4 years ago

The area of a semi circle is 20

alisha [4.7K]

Answer:

A = 157 in^2

Step-by-step explanation:

First, we need to get the radius, we can do this by dividing our given diameter by 2.

20/2 = 10

Now, we have our radius of 10 inches.

Formula for Area of a Semi Circle: (1/2)(pi(r^2)

Input values.

(1/2)(3.14(10^2)

Solve.

(1/2)(3.14(100)

(1/2)(314)

1/2(314) = 157

Finally, we have our result which is 157 inches^2.

3 0

3 years ago

Read 2 more answers

Can u answer this mathematics question and show your work

Mnenie [13.5K]

See this solution/explanation (answer is '7 meters'):

1. According to the condition 'y' means the height, and 'x' - the length from the start of the lift hill.

2. The phrase 'height of 343 meters' means y=343.

3. From the another side y=x³. If to substitute 343 instead of 'y': 343=x³, - it is possible to find the value of 'x'.

x=<u>7 [m]</u> - how far from the start of the lift hill...

5 0

3 years ago

The specific gravity of a substance is the ratio of its weight to the weight of an equal volume of water. Kerosene weighs 0.82 g

netineya [11]

Answer:

The specific gravity of kerosene is 0.82

Step-by-step explanation:

Let

x -----> the weight in grams of a cubic centimeter of Kerosene

y ----> the weight in grams of a cubic centimeter of water

z ---> the specific gravity of a substance

$z=\frac{x}{y}$

we have

$x=0.82\ g\\y=1\ g$

substitute the values

$z=\frac{0.82}{1}=0.82$

8 0

3 years ago

Read 2 more answers

Three tanks have a total capacity of 266 gallons. If two tanks are the same size and the

mojhsa [17]

Answer:

53.2 gallons

Step-by-step explanation:

let 't' = tank

t + t + t/2 = 266

5/2t = 266

multiply each side by 2/5 to get:

t = 106.4

the two larger tanks can each hold 106.4 gallons

the smaller tank can hold 53.2 gallons

7 0

3 years ago