Differentiate the function using chain rule

A local maximum occurs over the interval  (-2,0)  

A local minimum occurs over the interval  (0,2)

How do you find a function's maximum value?

We may calculate the maximum of a continuous and twice differentiable function f(x) by first differentiating it with respect to x and then equating it to 0.

A local maximum occurs over the interval (-2,0)  

A local minimum occurs over the interval  (0,2)

Step-by-step explanation:

-lukelaws hope i helped if i di please give me brainliest if i was wrong i am very sorry!

The owner's profit for a ten-day period is equal to $ 6100.

We are given that:

Selling price of 1 pizza slice =  $ 2.50

Number of pizza slice sold per day = 200

Selling price for pizza slices in a day = 200 × $ 2.50

SP ( pizza ) = $ 500

Selling price of 1 sandwich = $ 2

Number of sandwich sold per day = 85

Selling price for pizza slices in a day = 85 × $ 2

SP ( sandwich ) = $ 170

Selling price in 1 day = $ 500 + $ 170 = $ 670

Now, Cost price in 1 day = $ 60

Profit in  1 day = $ 670 - $ 60 = $ 610

Profit in 10 days = 10 × $ 610 = $ 6100

Therefore, the owner's profit for a ten-day period is equal to $ 6100.

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Answer:5

Step-by-step explanation: I used this website called step-by-step calculator and then typed in your question

The value of the expression using distributive property is [tex]-\frac{4}{5}[/tex] .

According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.

The given expression is  [tex]\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}[/tex]

Here we take the reverse of the distributive property to solve the expression. We take the term of  [tex]\frac{4}{7}[/tex]  common from both the separate expressions:

[tex]=\frac{4}{7}\times(-\frac{3}{5} ) +(-\frac{4}{5} )\times\frac{4}{7}\\\\=\frac{4}{7}(-\frac{3}{5}-\frac{4}{5})\\\\=\frac{4}{7}\times(-\frac{7}{5}) \\\\=-\frac{4}{5}[/tex]

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Small, random genetic changes that occur over generations is known as genetic drift.

Genetic drift is an evolutionary process in which the frequency of a given gene allele varies randomly across a population. The impacts of genetic drift can be severe, often causing traits to become excessively common or to vanish from a community, even though it predominantly affects small, isolated populations.

Some people might merely by coincidence leave behind a few more offspring (and genes, of course!) than others in each generation. The next generation's DNA and other genetic components will come from the "fortunate" people, not necessarily the healthier or "better" people.

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The false statement regarding the box-and-whisker plot is given by:

There are fewer data points in the lower two quartiles than in the upper two quartiles.​

The box-and-whisker plot is not given for this problem, but from it, we have that:

A box and whisker plot shows five things:

The false statement is:

There are fewer data points in the lower two quartiles than in the upper two quartiles.​

Because 50% values are below the median and 50% are above, meaning that there is an equal number of data points in the lower two quartiles than in the upper two quartiles.​

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We have given a sample size of n=40

Sample mean ¯x=$6.88 per 100 pounds

Population standard deviation= 1.96 per 100 pounds

First, we need to find the value of z α /2 =z (1−0.90/2)

Z (α/2) =z0.05

Z (α/2) =1.645

(a)The required 90% confidence interval is;

¯x ± margin of error

¯x ± z (α/2) * σ/sqrt 40

6.88 ± 1.645 * 1.96/sqrt 40

6.88±0.5097

(6.38,7.38)

Therefore, the lower limit is $6.38 per 100 pounds.

The upper limit is $7.38 per 100 pounds.

The margin of error is 0.50 per 100 pounds.

(b) to have the maximum of E, we use the formula;

n= (z (α/2)×σ/E) ^2

n= (1.645× (1.96/0.41)) ^2

n=61.84≈62

Therefore, the required farming region will be 62.

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Using the fact that the two angles are complementary, the we will find that the measures are:

∠1 = = 14°

∠2  = 76°

By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).

We also can see that:

∠1 = x - 5

∠2 = 4x

Then we can solve the linear relation:

(x - 5) + 4x = 90

x - 5 + 4x = 90

5x - 5 = 90

5x = 90 + 5 = 95

x = 95/5 = 19

Then the measures of the two angles are:

∠1 = (x - 5)° = (19 - 5)° = 14°

∠2 = 4x = 4*19° = 76°

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This speed in meters per hour is 0.01 meter per hour

The given parameter is

Speed = 63 centimeters every 2 days

Divide 63 by 2

So, we have:

Speed = 31.5 centimeters every day

There are 24 hours in a day

So, we have

Speed = 31.5 centimeters every 24 hours

100 cm equals 1 m

So, we have:

Speed = 0.315 meters every 24 hours

Divide

Speed = 0.013125 meter per hour

Approximate

Speed = 0.01 meter per hour

Hence,  this speed in meters per hour is 0.01 meter per hour

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342 = 2, 3, 6, 9

191 = no factors

1235 = 5

40320 = 2, 4, 8

16 = 2, 4, 8

78448 = 2, 4, 8

588 = 2, 4 , 12

67 = no factors

925 = 5

60043 = no factors

3663 = 3, 6

350 = 5

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Answer:2

Step-by-step explanation:

Answer:

f(x)=

1. 48x when x < or = 3,

2. 45x when 4 < or = x < or = 8

3. 42x when 9 < or = x < or = 19

4. 38x when x > 19

Step-by-step explanation:

3 boxes or less = Cost of tiles = $48

4 - 8 boxes ; cost = $45

9 - 19 boxes ; cost = $42

> 19 boxes ; cost = $38

Answer:

1.  2550

2.  1600

Step-by-step explanation:

Even Integer: A whole number that can be positive, negative, or zero, and that can be divided exactly by 2.

Even integers between 1 and 101:  

This forms an arithmetic sequence with:

Sum of the first n terms of an arithmetic series:

[tex]\boxed{S_n=\dfrac12n[2a+(n-1)d]}[/tex]

There are 50 even integers between 1 and 101.  

Therefore, to find the sum of the even integers between 1 and 101, substitute n = 50 and the found values of a and r into the formula:

[tex]\begin{aligned}\implies S_{50} & =\dfrac{1}{2}(50)[2(2)+(50-1)2]\\\\& =25[4+(49)2]\\\\& =25[4+98]\\\\& =25[102]\\\\& = 2550\end{aligned}[/tex]

Therefore, the sum of the even integers between 1 and 100 is 2550.

Given arithmetic sequence:

From inspection of the given arithmetic sequence:

Sum of the first n terms of an arithmetic series:

[tex]\boxed{S_n=\dfrac12n[2a+(n-1)d]}[/tex]

To find the sum of the first 25 terms of the given arithmetic sequence, substitute n = 25 and the found values of a and r into the formula:

[tex]\begin{aligned}\implies S_{25} & =\dfrac{1}{2}(25)[2(4)+(25-1)5]\\\\& =\dfrac{25}{2}[8+(24)5]\\\\& =\dfrac{25}{2}[8+120]\\\\& =\dfrac{25}{2}[128]\\\\& = \dfrac{3200}{2}\\\\& = 1600\end{aligned}[/tex]

Therefore, the sum of the first 25 terms of the given arithmetic sequence is 1600.

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I'll help with the question at the bottom of the page. The rest are unfortunately too blurry.

The x is the adjacent side to the reference angle. The 7 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.

Let's use the trig ratio cosine.

cos(angle) = adjacent/hypotenuse

cos(39) = x/7

7*cos(39) = x

x = 7*cos(39)

x = 5.44002 which is approximate

x = 5.4

Make sure your calculator is in degree mode.

Answer:

The middle number in a set of numbers.

Step-by-step explanation:

For example, if I have a set of numbers like 5,6,3,7,9

3 would be the median because it is in the middle.

I hope I helped!!

Answer:

Never true

Step-by-step explanation:

2x - 5 < 2(x - 3) first multiply 2 with the inside the parenthesis

2x - 5 < 2x - 6

now when we simplify the inequality 2x on the both sides will be eliminated and we will be left with:

(-5) < (-6) which cannot be true because (-5) is closer to 0 in number line so it's bigger then (-6) not smaller

Therefore the answer is "Never true"

Number of  train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.

As given,

Cost of standard train ticket = 3 per ride

Price of frequent rider pass= 18.75 each month

Cost of ticket using rider pass = 2.25 per ride

let x be the number of rides

Equation:

18.75 + 2.25x < 3x

⇒ 0.75x > 18.75

⇒ x > 25

Therefore, number of  train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.

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Answer: x=12

Step-by-step explanation:

The range is: x-5

The mode is: 7

Hence,

x-5=7

x-5+5=7+5

x=12

 y =  -3 ( x - 1 )² + 9 is  quadratic function in standard form Vertex .

How does a parabola's vertex shape work?

given ,   Vertex =  (1,9)

              point =  (4,6)

The formula is  

              y = a + ( x - h )²  + k

where  h = 1  , k = 9

then    y = a ( x - 1 )² + 9

Find the value of

a when one of the points is  ( 4,6)

  6 = a ( 4 - 1 )²  +  9

  6 - 9 = 9a  

    -3  = 9a

     a =  -9/3  ⇒ -3

put value of a

 y = a ( x - 1 )² + 9

 y =  -3 ( x - 1 )² + 9

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According to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that; 0 + x + 13 is equal to 13 + x

We are told that the Transitive Property states that if a = b and b = c, then a = c.

Now, if a = 3 for example, then by the transitive property, it means that b and c must both also be 5.

Now, we want to apply the the transitive property to show that the expressions 0 + x + 13 and 13 + x are equivalent.

Now, the expression 0 + x + 13 is equal to x + 13.

Now, according to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that;

0 + x + 13 is equal to 13 + x

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Answer:

x=-2, -6

Step-by-step explanation:

factor the expression

y=x^2+ 8x + 12

y= (x+2)(x+6)

set the equation equal to 0, since you are finding zeros, or solutions

0=(x+2)(x+6)

split the equation into two parts

0=(x+2) and 0=(x+6)

solve the equations

you should get 2 zeros

x=-2, -6

Answer:

350p2+19500p-199000

(The first term is actually -350p² but I guess you have to write it as -350p2)

Step-by-step explanation:

Looks like that first term in the revenue equation is -350p²

We have
E = -1500p + 199000
R = -350p² + 18000p

Profit = Revenue - Expenses = R - P

Profit = -350p² + 18000p - (-1500p + 199000)

= 350p² + 18000p + 1500p - 199000

= 350p² + 19500p - 199000