Mathematics High School

Hi. I need help with these questions (see image)
Please show workings.
​

Hi. I Need Help With These Questions (see Image)Please Show Workings.

Answers

Answer 1

Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

[tex]\sqrt[4]{x}=x^{\frac{1}{4} }[/tex]

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Related Questions

Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 10 chores, and $16 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form.

Answers

Answer:

y=1/2x+12

Step-by-step explanation:

Answer:

y = 2x + (-30)

Step-by-step explanation:

Find the slope, then find the y-intercept.

But that is for if the points are, (20,10) and (16,2)

If you were finding the equation for the points, (10,20) and (2,16) the equation would be y = 0.5x + 15

−2 1/4=r−4/5

Help

Plz

Answers

Answer:

r=-29/20

Step-by-step explanation:

because

-2 1/4 will be -9/4=r-2/5 now you add 2/5 to both sides

witch means you have to increase the denominator to the greatest common denominator of 4 and 5 witch is 20 multiply the number used to combine with the denominator to get 20 to the numerator so itll be -45/20+16/20 witch will be -29/20 so there fore r=-29/20 or 1 9/20.

someone please help!!

Answers

The answer is 430.05. The formula is r^2pi

Answer:

c. the circumference is equal to 2 * pi * 11.7

73.51

d. r= c/2pi

*falls because too much math-*

please help! will give brainliest :(

Answers

4) A


5)B
4.5% of 70 is 3.15 and times 3 is 9.45
Do you need the work as well? Because if not
[ 4 ] D
[ 5 ] A
But I can show you the work for the questions

For all values of x, f(x) = x^2 + 1 and g(x) = x-5
(a) Show that fg(x) = x^2 - 10x + 26
(b) Solve fg(x) = gf(x)

Answers

Answer:

a)  f g(x) =  x³ - 5 x² + x -5

b) g(f(x) =  x³ - 5 x² + x -5

Step-by-step explanation:

Step(i):-

Given that f(x) = x² + 1 and g(x) = x-5

a)

      f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

Step(ii):-

a) f g(x)  = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b)   g(f(x)  = g(x) f(x) = (x-5) (x²+1) =  x³ - 5 x² + x -5

Max is flying a kite and gets tired of holding the string attached to the kite. Max has let out approximately 40 feet of string and the string makes a 32 degree angle with the ground. How high is the kite at the time?

Answers

Answer: i think 8

Step-by-step explanation:

Coach Fitzgerald is trying to bring basketballs on the

bus for a tournament in Des Moines, Iowa. If 12

basketballs fit in a 3ft x 2 ft x 3ft box, how many

basketballs will fit in a 10ft x 7ft x 10ft box?

Answers

Answer:

466

Step-by-step explanation:

[tex]12[/tex] balls fit in a 3ft x 2 ft x 3ft box

[tex]1[/tex] ball occupies volume [tex]\dfrac{3\times 2\times 3}{12}=1.5\ \text{ft}^3[/tex]

Dimensions of new box is 10ft x 7ft x 10ft

The number of basketballs that will fit here is

[tex]\dfrac{10\times 7\times 10}{1.5}=466.67[/tex]

The number complete of basketballs that will fit in the new box is [tex]466[/tex].

what is the reduced form of 10/35
​

Answers

Answer:

2/7

Step-by-step explanation:

[tex]\frac{10}{35}[/tex]÷[tex]\frac{5}{5} = \frac{2}{7}[/tex]

What are the like terms in the expression 3x + 4 -2x + 5y + 4z + 5x

Answers

I haven’t done math like this in a while, it is possible my answer is completely wrong

6x+4+5x+4z

Your meal cost $20 and you want to leave a 15% tip how much should you leave for the tip?

Answers

Answer:

3

Step-by-step explanation:

\frac{3}{20}20=3

Divide. Enter the answer in simplest form
8 1/3 • 2/3

Answers

Answer:

17/3

5.6

5 1/3

Step-by-step explanation:

Solve 54 - 10x s 20 + 7x.

Answers

9514 1404 393

Answer:

  2 ≤ x

Step-by-step explanation:

Maybe you want to solve ...

  54 -10x ≤ 20 +7x

  34 ≤ 17x . . . . . . . . . . . . add 10x-20 to both sides

  2 ≤ x . . . . . . . . . . . . . .  divide by 17

you are renting a moving truck for a day. There is a dailyfee of $20 and a charge of $0.75 per mile. Your budget allows a maximum total cost of$65. Write and solve an inequality that represents the number of miles you can drive the truck?

Answers

Answer:

its 6900000

Step-by-step explanation:

6hue and 388

Can ya'll please help me with this?

Answers

Answer: D

Step-by-step explanation:

if you replace x with -2 and y with -3 you should get it right

There are only red, blue and green counters in a bag.
There are 4 red counters.
There are 5 blue counters.
There is 1 green counter.
Matt takes a counter at random from the bag.
a) What is the probability that the counter is red?
Give your answer as a fraction.
b)
What is the probability that the counter is not blue?
Give your answer as a fraction.

Answers

Answer:

A 4/10

B 5/10

Step-by-step explanation:

A because there are 4 out of the 10 that are red

B because there 5 out of the 10 that are not blue

Find the coordinates of the point that is 2/5 the way from point F to point A

Answers

Answer:

umm I really dont know but can u tell me how'd u put a pic up

Find the missing side length

Answers

Answer:

a (18)

Step-by-step explanation:

rate of large polygon side to small polygon side is 15:10, or big polygon is 1.5 times greater than small polygon.

so, 12 * 1.5 = 18.

Answer: I think the answer would be 18 or A

Step-by-step explanation: I think because 12+5=17 but 18 is the closest to 17 how I got it is because 15-10=5. It's hard to explain but i think it's A

f(x)=-x^2-14 find f(9)
Evaluate the function

Answers

f(x)=x2−14 is the answer

What is the quotient of 5y^3/(5y)^-2

Answers

125y^5 (pls mark as brainliest)

Find the slope on this line (2,2) (3,3)

Answers

Answer:

the answer is d.

Step-by-step explanation:

it goes up 4 and over 5

Slope is 4/5 because to find slope you divide the rise over the run, so the rise 4 because you went from -1 to 3 and the run is 5 because you went from negative 2 to 3. Then 4 divided by five equals 4/5

A ladder is leaned up against a wall. The bottom of the
ladder is 5 feet from the wall. The top of the ladder
reaches a spot on the wall that is 12 feet off the ground.
How long is the ladder? (HINT: draw a rough sketch!)
7 feet
13 feet
17 feet
20 feet
i

Answers

Answer:

Step-by-step explanation:

so 5 feet as a width and 12 as a height meaning that it would be b 13

5x - 2x+3=24. HELP ASAP PLS​

Answers

Answer:

x=7

Step-by-step explanation:

When a number is multiplied by eight, the result is 72. What is the number?

Answers

Answer:

The number is 9 because 9 x 8 = 72. Hope this helps!

The equation to the given phrase is 8x=72 and the unknown number is 9.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, when a number is multiplied by eight, the result is 72.

Let the unknown number be x.

Here, x×8=72

8x=72

x=72/8

x=9

Therefore, the unknown number is 9.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Express 2.31 as a fraction

A. 231/1000

B. 2.31/10

C. 231/100

D. 2.31/1000​

Answers

the answer is 231/100 because the .31 is in the hundredths place

Answer:

C 231/100

Step-by-step explanation:

hope this helps :)

HELP PLS! i’ll give brainliest :)

Answers

Answer:
<-4
>10
Explication:

HELP ASAP ASAP ASAP HELP

Answers

Answer:

            4

9           9

14           14

19             19

Step-by-step explanation:

I NEED HELP WITH THIS ASAP PLSSS HELPPP ME!!!!!!!!

Answers

Answer:

hdbj

Step-by-step explanation:

please helpp pleasee!!!

Answers

Answer:

The second choice. Because the x-coordinate in the second choice is constant unlike the others, which is a property of a function.

Can someone help me pls

Answers

Answer:

9

Step-by-step explanation:

V=πr²h

2797.74=πr²11

2797.74÷11π=r²

81=r²

√81=r

9=r

WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

i think 3 sorry if i wrong

Step-by-step explanation:

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