Given f(x)=x^2+3 and g(x)=x+5/x. Find (g o f)(4)

Answers

Answer 1

Answer: To find g(f(4)), work from the inside out.

f(4) is 4^2+3, or 16+3, or 19. Now, we must find g(19).

This is 19+5/19. This is already a mixed number, though if you want an improper fraction solution, we have:

361/19+5/19

Which simplifies to:

366/19

Therefore, 366/19 is the answer.

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joanne buys a rectangular rug with an area of 35/4 square meters. The length of the rug is 7/2 meters. What is thw width, in meters, of the rug?

Answers

The width pf the rug is 15 meters

Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.6h + 5 = 4h + 10
What is the correct sequence of steps to solve Mrs. Blake’s equation?

A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.

Answers

Answer:

Option B: Subtract 4h from both sides. Subtract 5 from both sides.Divide each side by 2.

Step-by-step explanation:

So why option B?

When solving equations one of the best method is to bring like terms together to a side (LHS or RHS) of the equation.

What are liked terms? This are numbers or integers with similar structure. From the question the liked terms are 5 and 10, and 6h and 4h.

Going by the workflow described in option B we will see that the end game here was to bring liked terms together.

So lets carry out the workflow step by step:

Subtract 4h from both sides: 6h + 5 -4h = 4h + 10 -4h => 2h + 5 = 10
Subtract 5 from both sides: 2h + 5 -5 = 10 -5 => 2h = 5 (Victory!!! we have succeeded in briinging like terms to a side)
Divide each side by 2: 2h/2 = 5/2 => h = 2.5

So for the Babysitters to charge the same amount they have to have worked for 2.5 hours (that is 2 hours 30 minutes)

B) This way you'll get an answer of h=2.5

Blank divided by 9 equals 6

Answers

The required number is 54.

Therefore 54 divided by 9 equals 6 .

Given,

Blank divided by 9 equals 6.

Now,

Let the blank number be x.

So,

Rewriting in the form of equation,

x ÷ 9 = 6

x = 9*6

x = 54

Know more about division,

brainly.com/question/2273245

#SPJ6

9 x 6 = 54 so the answer would 54

What is the lowest common denominator of 20 and 24

Answers

the lowest common denomenator is the smallest common factor of them so
20=1 times 2 times 2 times 5
24=1 times 2 times 2 times 2 times 3
the lowest common denomenator is 1

I think the question should have been. what is the greatest common factor (4) or what is the smallest common multiple (120)

Maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals. Maggie keeps all the tiles on a mat with the pictures hidden and mixes them up. She then turns one tile face up and finds the picture of a plant on it. She removes this tile from the mat and turns over another tile without looking. What is the probability that the second tile that Maggie turns over has a plant on it? 22.2%
28.6%
65.0%
75.0%

Answers

Answer: The probability that the second tile that Maggie turns over has a plant on it, is 75.0 %.

Step-by-step explanation:

We have,

Number of tiles with pictures of plants = 7

And, number of tiles with pictures of animals = 2,

⇒ Total numbers of tiles = 7 + 2 = 9,

After removing one picture of plant tile,

The remaining number of plant tiles = 7 - 1 = 6,

And, total numbers of remaining tiles = 9 - 1 = 8.

Since,

$\text{ The probability of plant tile in second trial}=\frac{\text{Remaining plant tiles}}{\text{Total remaining tiles}}$

$=(6)/(8)$

$=0.75 = 75\%$ (Because, 0.01 = 1% ⇒ 0.75 = 75% )

Thus, the probability that the second tile that Maggie turns over has a plant on it, is 75.0 %.

7 tiles with plants and 2 tiles with animals...total of 9 tiles

she flips a plant tile, and does not replace it.

probability that 2nd tile is a plant = 6/8 = 0.75 = 75%

I cant figure this out pleas help

Answers

can u give me the questions and answers (picture wont show)

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