20 a) The area of a square field is 84642. A man takes 3 rounds of this field. Find the distance covered by him.

The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or,  x = -4.

Here, we have,

given that,

the equation is: x squared - 7x-34=10

now, we have to solve this.

so, we have,

x squared - 7x-34=10

or, x²- 7x-34=10

or, x²- 7x - 44 = 0

or,  x²- 11x + 4x - 44 = 0

or, x(x-11) + 4(x-11)

or, (x-11) (x + 4) = 0

so, we get,

either , x = 11 or, x = -4

Hence, The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or,

x = -4.

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Answer:

Therefore we understand that exactly 71 people will have to attend breakfast in order to raise 2414 dollars.

Step-by-step explanation

We understand that we have to calculate the amount of people paying for breakfast so if 71 people each pay $34 we would get 2414

= 2414 ÷ 34 (This would give us 71 we get this straight away when we read the problem)

We can also fact check this by doing

= 34 x 71 (This gives us 2414)

Answer: f(x) = -3/2x -2

Step-by-step explanation:

Slope form of a line is y=mx+b, where b is the y-intercept and m is the slope. We find the y-intercept when we look at when x is 0 which would be -2. The slope is graphing to plots and determining if the slope is positive- going up- or negative- going down. The slope is going down and after using y2 - y1 / x2 - x1, I found the slope was -3/2.

Answer:

48

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

When dividing fractions flip and multiply.

So 12 would become 1/12

and 1/4 would become 4/1

Now multiply

[tex]\frac{1}{12}*\frac{4}{1}= \frac{4}{12} = \frac{1}{3}[/tex]

So the answer is 1/3

When dividing fraction remember to flip then multiply much easier that way!

Hope this helps!!

Answer:

x=6.5

Step-by-step explanation:

Cross multiply

4x=26

Divide 26/4 ( 6.5 )

x=6.5

Answer:

It"s the second answer, "An 8-foot ramp leans....".

Step-by-step explanation:

Answer:

Step-by-step explanation:

⊕ An 8-foot ramp leans against a building 5 feet away.  

cos x = [tex]\frac{5}{8}[/tex] ⇒ x ≈ 51.3178°

Answer:

A

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)\\=(x-2)-(x^2+3x-4)\\=x-2-x^2-3x+4\\=-x^2-4x+2\\[/tex]

Therefore, answer is A.

Answer:

Step-by-step explanation:

Algebra II: Part 2 James Madison

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Question 1  5 / 5 points

Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).

A: (f – g)(x) = –x2 –2x + 2

Question 2  5 / 5 points

Given that f(x) = x + 4 and g(x) = x + 7, find (g – f)(x).

A: (g – f)(x) = 3

Question 3  5 / 5 points

Let f(x) = 4x – 1 and g(x) = 2x. Find (f ∘ g)(–5).

A:  (f ∘ g)( – 5) = –41

Question 4  5 / 5 points

Which of the following is the inverse relation of the set below?

A:  {(3,–2), (–4,7), (7,3), (4,8)}

Question 5  5 / 5 points

What is the inverse of f(x) = 2x2 –4?

A:  y = ±x+24−−−√

Question 6  5 / 5 points

Which of the following function pairs are inverses?

A: f(x) = 2x – 3 and g(x) =x+32

Question 7  5 / 5 points

Which of the following is true?

A:  The horizontal line test is used to determine if a function's inverse will be a function.

Question 8  5 / 5 points

Evaluate81−−√4

A: 3

Question 9  5 / 5 points

Evaluate 1251⁄3.

A: 5

Question 10  5 / 5 points

Use the properties of exponents to simplify the expression 2(x13)65⋅y23.

A: 2x25⋅y23

Question 11  5 / 5 points

A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)t4, where t is time in hours. How many strands of bacteria are present at 12 hours?

A: 120 strands of bacteria

Question 12  5 / 5 points

Simplify 36√3√.

A: 23–√

Question 13  5 / 5 points

Simplify 73–√+12−−√−75−−√.

A: 43–√

Question 14  5 / 5 points

Simplify 2–√×22–√.

A: 4

Question 15  5 / 5 points

Simplify 83−−√.

A: 26√3

Question 16  5 / 5 points

Select the equation of the function shown in the graph.

A: f(x)=2x−−√4−5

Question 17  5 / 5 points

Identify the graph of f(x)=x−2−−−−√3−3.

t would not allow me to add the graft. But it is the answer with the line that goes all the way across the graft starting at -10 thru -4.5 and up to 10. The line looks like an "S"

Question 18  5 / 5 points

Identify the graph of f(x)=6x−−√4−1.

It would not allow me to add the graft. But it is -1 up to the right to about 9.5. Document uploaded

Question 19  5 / 5 points

Select the equation of the function shown in the graph.

A: f(x)=x−1−−−−√5+5

Question 20  5 / 5 points

Solve the inequality x+2−−−−√4>2.

A: x>14

Question 21  5 / 5 points

Solve the inequality −2x−−−−√−1<3.

A: −8<x≤0

Question 22  5 / 5 points

Solve the equation 2x−1−−−−−√=5.

A: x = 13

Question 23  5 / 5 points

Solve the equation x+1−−−−√+5=3.

A: There is no solution.

Question 24  5 / 5 points

Given thatf(x)=4x3x+3−−−−−√ and g(x)=2x+1−−−−√, find (fg)(x).

A: 2x3–√

Answer:

2(30-7x)

Step-by-step explanation:

=14+14x-65-9

=14+14x-79

=60+14x

=2(30-7x)

Answer:

Container A is filling more quickly because the line is steeper and has a higher C.O.P

Step-by-step explanation:

Answer:

Because the weather was generally better this year compared to last year, the attendance may have increased.

Step-by-step explanation:

took test

Answer:

C.) The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.

Step-by-step explanation:

edge 2020

Answer:

The Trench or The Mariana Trench is the deepest part of the ocean.

Answer:

B) trench

Step-by-step explanation:

The deepest part of the ocean is called the Challenger Deep and is located beneath the western Pacific Ocean in the southern end of the Mariana Trench

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Answer:

Yes

Step-by-step explanation:

Using the triangle formula: a+b>c , b+c>a , and c+a>b, we can conclude that these values can form a triangle because 14+18>19 , 14+19>18 , and 18+19>14.

Answer:

To confirm if this can form it, we take the lower of the two numbers , square them, and equal it to the biggest number squared. (AKA The Pythagorean Theorem).

Step-by-step explanation:

[tex]14^{2} +18^{2} = 19^{2}[/tex]

Now solve to see if it equates to be true.

196 + 324 = 361

520 [tex]\neq[/tex] 361

That means 14, 18, and 19 can't form a triangle.

Answer:

m = -5.3

Step-by-step explanation:

-39.75 = 7.5m

Divide both sides by 7.5 to get m alone

-39.75/7.5 = 7.5m/7.5

-5.3 = m

Hope this helps:)

Answer:

m= -5.3

Step-by-step explanation:

-39.75=7.5m

(divide both sides by 7.5)

-5.3=m

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66

Answer:

3.6 • 10^9

Step-by-step explanation:

Through multiplying, we get 3,600,000,000

The number divided by 10^ 9 = 3.6

Therefore the Answer is 3.6 × 10^9

Answer:

3 31/33

Step-by-step explanation:

26/3x5/11= 130/33=

Answer:

3.9393

Step-by-step explanation:

You can make them into an improper fraction and make the denominators the same and divide. so for 8 2/3, the improper fraction would be 26/3. 11/5 is already an improper fraction. Put it into the calculator as (26/3) / ( 11/5) and it will give you 3.9393

Answer:

If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion.

I hope this might help you

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Answer:

250 centimeters

Step-by-step explanation:

2 meters into centimeters is 200 so 200+50=250

Answer:

100cm

Step-by-step explanation:

Answer:

Since the slope of KM and ST are different, they are not parallel

Step-by-step explanation:

Slope of line KM = [tex]\frac{5}{8}[/tex]

 Slope of ST = [tex]-\frac{8}{5}[/tex]

Determine whether the lines are perpendicular;

Solution:

We can use the slope of a line to determine whether they are perpendicular or parallel to one another.

Parallel lines do not meet one another

Perpendicular lines cross one another at an angle of 90°

Two lines are parallel if their slopes are the same;

  Since the slope of KM and ST are different, they are not parallel

Answer:

Alex can buy "3" socks

Step-by-step explanation:

75- 25 =50

50- 29.99 = 20.01

20.01/ 6.26= 3.02

Since you can't get a portion of a sock you just take the first number (which is 3). Therefore, Alex can only buy three socks.  

Answer:

43.15

Step-by-step explanation:

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

Answer:

I think its 15600..

Step-by-step explanation:

Answer:

100/35 = 2

35 goes into 100 2 times

Step-by-step explanation:

Answer:

It is 4,288,000.

Step-by-step explanation:

To round to the nearest thousand, you need to find the thousands place. In the thousands place there is a "7". Okay, we've found it, so the next step is rounding.

To round, there is a handing phrase that we can use to know whether we should round the place up or down. It is "4 or less, let it rest. 5 or more, add 1 more." We need to apply this phrase to the number behind the place we need to round (so apply it to the place behind the thousands place).

When we look behind the thousands place, we see there is a 9. Apply the rule to that. Since 9 is above 5 and not less than 4, we need to add one more to the thousands place.

That means after we round, the 7 turns into a 8. That's how you get 4,288,000.

Hope this makes sense <3

Answer:

Step-by-step explanation:

Step 1             f(x) = [tex]\frac{3x+4}{8}[/tex]                 Given

Step 2            y = [tex]\frac{3x+4}{8}[/tex]                    Change f(x) to y

Step 3            x = [tex]\frac{3y+4}{8}[/tex]                    Switch x and y

Step 4            8x = 3y + 4              multiply each side by 8

Step 5            8x - 4 = 3y               Subtract 4 from each side

Step 6            [tex]\frac{8x-4}{3}=y[/tex]                   Divide by 3 on each side

Step 7            [tex]\frac{8x-4}{3}=f^{-1}(x)[/tex]           Replace y by [tex]f^{-1}(x)[/tex]

Therefore, inverse of the function will be,

[tex]\frac{8x-4}{3}=f^{-1}(x)[/tex]

Sofia made a mistake in step 6. She should have divided both the sides by 3 instead of multiplying each side by 3.

Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.

The given function is [tex]f(x)=\dfrac{3x+4}{8}[/tex].

It is required to calculate the inverse of the function.

So, the steps involved in finding the inverse of the function will be,

Step 1:

Write the given function as,

[tex]f(x)=\dfrac{3x+4}{8}[/tex]

Step 2:

Change the function f(x) to y as,

[tex]y=\dfrac{3x+4}{8}[/tex]

Step 3:

Switch x and y as,

[tex]x=\dfrac{3y+4}{8}[/tex]

Step 4:

Multiply each side of the equation by 8 as,

[tex]8x=8\dfrac{3y+4}{8}\\8x=3y+4[/tex]

Step 5:

Now, subtract 4 from each side of the equation as,

[tex]8x-4=3y+4-4\\8x-4=3y[/tex]

Step 6:

Now, it is required to divide each side by 3.

[tex]\dfrac{8x-4}{3}=\dfrac{3y}{3}\\\dfrac{8x-4}{3}=y[/tex]

Step 7:

Now, replace y with [tex]f^{-1}(x)[/tex] as,

[tex]\dfrac{8x-4}{3}=f^{-1}(x)[/tex]

So, the required inverse function should be [tex]f^{-1}(x)=\dfrac{8x-4}{3}[/tex].

Therefore, Sophia has made mistake in step 6. She should have divided each side by 3 instead of multiplying.

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