what skills are needed to learn derivatives in math ​

Answer:

B.(9 x -1)^{2}

Step-by-step explanation:

Rewrite the expression into the form of a^2\pm 2ab+b^2:(9 x)^{2} - 2 \times 9 x + 1^{2}

Factor the expression using a^{2}\pm 2ab+b^{2}=(a\pm b)^{2}:(9 x -1)^{2}

we have  81x^2 - 18x+1 = (9x)^2 -2.9x + 1 = (9x -1)^2

ok done. Thank to me :>

Answer:

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.

Step-by-step explanation:

Answer:

b)

Step-by-step explanation:

Answer:

x = 20*

Step-by-step explanation:

180 - 110 = 70

90 - 70 = 20

x = 20*

reason is #5 Algebra

Have a nice day! :-)

Answer: C) The student made an error in step 3.

Step-by-step explanation:

When dividing by a negative while working with inequalities, you must "flip the sign."  Thus, there is an error in step 3.

N.B. The answer could very well be interpreted as B), but I believe C) is the best and most defensible answer.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

nvm

Step-by-step explanation:

[tex] \frac{2}{5} + \frac{3}{10} - \frac{7}{9} \\ = \frac{2 \times 18 + 3 \times 9 - 7 \times 10}{90} \\ = \frac{36 + 27 - 70}{90} \\ = \frac{ - 7}{90} [/tex]

[tex] \frac{ - 7}{90} [/tex]

Answer:

5

52

52

52 +

52 + 10

52 + 103

52 + 103

52 + 103 −

52 + 103 − 9

52 + 103 − 97

52 + 103 − 97

52 + 103 − 97

52 + 103 − 97 =

52 + 103 − 97 = 90

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10

52 + 103 − 97 = 902×18+3×9−7×10 =

52 + 103 − 97 = 902×18+3×9−7×10 = 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 =

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90}

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7

52 + 103 − 97 = 902×18+3×9−7×10 = 9036+27−70 = 90−7 Answer:\frac{ - 7}{90} 90−7

Answer:

8

Step-by-step explanation:

2(-2)^2 =10 +-2 =8

Hi there!

5=5+r-2r

Combine like terms:

5=5-r

Move all the variables to the left, using the opposite operation:

r+5=5

r=5-5

r=0

r=0 is the answer

Hope it helps

~Just a gloomy gal

#CarryOnLearning

[tex]SilentNature :)[/tex]

Answer:

r = 0

Step-by-step explanation:

5 = 5 +r - 2r

5 = 5 -r

c.l.t   r = 5 - 5

r = 0

Answer:

y = (3/4)x + (3/2)

Step-by-step explanation:

all points on that line

Answer:

Answer → Student A was right.

[tex]{ \tt{ \sqrt[3]{1944} = \sqrt[3]{(72 \times 27)} }} \\ \\ = { \tt{ \sqrt[3]{72} \times \sqrt[3]{27} }} \\ \\ = { \tt{ \sqrt[3]{72} \times 3}} \\ \\ = { \underline{ \tt{ \: 3 \sqrt[3]{72} } \: }}[/tex]

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

Learn more about zeros of the function from the link given below.

https://brainly.com/question/31654189

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The pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Let l be the length of side of the square bottom of the pool and h be the height of the pool.

Its volume V = l²h

Now, the total surface area of the pool equal the area of its sides plus the area of its base.

The area of its 4 sides is 4lh.

Since the cost of the side of the pool is $80 per square foot, the total cost for the sides of the pool is C = $80 × 4lh = $ 320lh

Also, The area of its square bottom is l².

Since the cost of the side of the pool is $40 per square foot, the total cost for the square bottom of the pool is C' = $40 × l² = $ 40l²

So, the total cost of the pool is C" = C + C' = 320lh + 40l²

C" = 320lh + 40l²

Since the volume equals 2000 ft³, V = l²h

2000 = l²h

h = 2000/l²

Substituting h into C", we have

C" = 320lh + 40l²

C" = 320l × 2000/l² + 40l²

C" = 640000/l + 40l²

To find the value of l which makes C" minimum, we differentiate C" with respect to l and equate it to zero.

So, dC"/dl = d(640000/l + 40l²)/dl

dC"/dl = d(640000/l)/dl + d(40l²)/dl

dC"/dl = -640000/l² + 80l

Equating dC"/dl to zero, we have

-640000/l² + 80l = 0

-640000/l² = -80l

Cross-multiplying, we have

640000 = 80l³

Dividing through by 80, we have

l³ = 640000/80

l³ = 8000

Taking cube root of both sides, we have

l = ∛8000

l = 20 ft

We differentiate C" twice to determine if this value of l gives a minimum for C".

So, d²C"/dl² = d(-640000/l² + 80l)/dl

d²C"/dl² = d(-640000/l²)/dl + d(80l)/dl

d²C"/dl² = 640000/l³ + 80

Substituting l = 20, we have

d²C"/dl² = 640000/l³ + 80

d²C"/dl² = 640000/20³ + 80

d²C"/dl² = 640000/8000 + 80

d²C"/dl² = 80 + 80

d²C"/dl² = 160 > 0

Since d²C"/dl² = 160 > 0. So, l = 20 ft gives a minimum for C".

Since h = 2000/l²

Substituting l = 20 into the equation, we have

h = 2000/l²

h = 2000/20²

h = 2000/400

h = 5 ft

So, the pool dimensions that will minimize the cost of construction are length of square bottom = 20 ft and height of pool = 5 ft

Learn more about dimensions of a pool here:

https://brainly.com/question/22112169

Answer:

The inverse means opposite operation, such as addition and subtraction are inverse operations, whereas the reciprocal refers to the inverse of any value, also called the multiplicative inverse. What is Another Word for Multiplicative Inverse? Reciprocal is another word for the multiplicative inverse.

Step-by-step explanation:

Answer:

m=14+10.50h

Step-by-step explanation:

h represents hours. m represents how much he makes

he's going to get 14 dollars, plus 10.50 times however many hours he works.

Answer:

8:1

Step-by-step explanation:

Answer:

-14 and -15

Step-by-step explanation:

When you multiply two negative numbers together, it will equal a positive number

Answer:

i cant read it

can u type so i can help?

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

An arithmetic sequence with common difference 6

(-3)-(-9) = 6

3 - (-3) = 6

9 - 3 = 6

15 - 9 = 6

Answer:

22,000,000,002

Step-by-step explanation:

Hope it helps you

Answer:

Step-by-step explanation:

22,000,000,002

Answer:

3/4

Step-by-step explanation:

5 action+4 comedy+3 drama= 12 total movies

12 will be the denominator of our fraction.

The question asks: What is the probability that the movie she selects is NOT a drama?

So, we add the number of action and comedy movies.

5+4=9

9 is our numerator.

But wait! We have to simplify the fraction 9/12!

9 divided by 3= 3

12 divided by 3= 4

Reduced answer: 3/4

Answer:

5 units

Step-by-step explanation:

Distance between two points can be found by using the pythagorean theorem

The distance in y = 4

The distance in x = 3

3² + 4² = c²

9 + 16 = c²

25 = c³

c = √25

c = 5

-Chetan K

Answer:

5

Step-by-step explanation:

[tex]\mathrm{Distance \:\:Formula:}\\\\\mathrm{d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}}[/tex]

[tex]\underline{\mathrm{Plug \:the\: points:}}[/tex]

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\underline{\mathrm{Solve:}}[/tex]

[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\sqrt{3^2 + 4^2}[/tex]

[tex]3^2 = \sqrt{9+4^2} =\boxed{9}\\\\4^2=\sqrt{9+16} = \boxed{16}[/tex]

[tex]\sqrt{25}[/tex]

[tex]\sqrt{5^2}=5[/tex]

Answer:

a₁₅ = 675

Step-by-step explanation:

Substitute n = 15 into the nth term formula

a₁₅ = 3(15)² = 3 × 225 = 675

Answer:

29.2425

Step-by-step explanation:

25%=0.25

38.99 *  0.75 = 29.2425

Answer:

y = 42º

Step-by-step explanation:

The unmaked angle of the bottom triangle is 90º

The sum of the angles is 180

y + 90 + 48 = 180

combine like terms

y + 138 = 180

subtract 138 from both sides

y = 42º

Answer:

21 she has 21 nickels

Step-by-step explanation:

Googel

The number of nickels LeAnne has 20 and the number of dimes LeAnne has 30.

Given that, LeAnnne has $4 in dimes and nickels.

Let the number of dimes be d and the number of nickels be n.

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

She has 10 more dimes than nickels.

That is, d=n+10

So, 0.05n+0.10d=4

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

5n+10(n+10)=400

5n+10n+100=400

15n=300

n=20

d=n+10

d=30

Therefore, the number of nickels LeAnne has 20.

To learn more about an equation visit:

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

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Answer:

150 Miles

Step-by-step explanation:

Let's say it takes x time to get there.

X x 30=(8 - 6) x 50 (The distance is the same)

30X=400 - 50X=7 X=5 hours.

So the distance is 5 x 30=150 miles.