The area of a square with sides of length s is given by A = s^2. Find the rate of change of the area with respect to s when s = 5 meters.​

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

Answer:

8(4+4) =7 38+38

=86

The price of one pound of banana = b

As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.

The price of 3 pounds of banana = 3b,

and the price of 2 pounds of oranges = 2(b+0.75).

Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

So, for this situation the required equation is

3b + 2(b+0.75) =4.5

On solving this equation, we have

[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]

[tex]\Rightarrow 5b +1.5=4.5[/tex]

[tex]\Rightarrow 5b =4.5-1.5=3[/tex]

[tex]\Rightarrow b =\frac 3 5=0.6[/tex]

Hence, the price of one pound of banana = $ 0.60

and the price of one pound of orange

=b+0.75= 0.60+0.75=$1.35.

Answer:

j = [tex]\frac{h-2}{4}[/tex]

Step-by-step explanation:

Given

4j + 2 = h ( subtract 2 from both sides )

4j = h - 2 ( isolate j by dividing both sides by 4 )

j = [tex]\frac{h-2}{4}[/tex]

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x              +15x

20x - 50 = 30

       +50    +50

20x = 80

/20     /20

x = 4

Hope this helps!

Answer:

m/341=315

Step-by-step explanation:

Answer:

m/341=315 because the divided symbol is / and the equals symbol is = so replace the words with the symbol.

Answer:

It's a &d

Step-by-step explanation:

The required Area of trapezoid(a) = 1/2(b1+b2)h.

Quadrilateral is four sided shape as given in the picture in question.

Question seems to be incomplete. So the correct option resembles with
Area of trapezoid a = 1/2(b1+b2)h

Thus, the required area of trapezoid
a = 1/2(b1+b2)h

Learn more about quadrilateral here:
https://brainly.com/question/13805601

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Answer: C

Step-by-step explanation:it’s the 3rd ans on edge

The question is an illustration of probability, and the approximate probability that the first digit will be 6 is (c) 0.11111

The number of digits in the pin = 3

Given that each digit cannot be repeated, the total number of pin is:

Pin = 9 * 8 * 7

Evaluate

Pin = 504

If the first digit is 6, the number of pins is:

First digit6 = 1 * 8 * 7

First digit6 = 56

So, the probability that the first digit is 6 is:

P = 56/504

Evaluate

P = 0.1111

Hence, the approximate probability that the first digit will be 6 is (c) 0.11111

Read more about probability at:

brainly.com/question/251701

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Answer:

Sum of angles 2 and 3 will be equal to sum of angles 1 and 4.

As per the opposite angle theoreom: "When two lines cross, four angles are created and the opposite angles are equal" Here:

Answer:

The answer I got was 266

Step-by-step explanation:

700 - 62% = 266

62% = 434

700 - 434 (62%) = 266

Answer:

143 pages

Step-by-step explanation:

Kainoa has:

1,032 baseball cards, 709 basketball cards, and 833 football cards.

Totally number of cards =

(1032 + 709 + 833)cards = 2574 cards

We are told that:

Each page in the albums holds 18 cards

The pages he will need to hold all of his cards is calculated as:

2574 cards ÷ 18 cards = 143 pages.

Answer:

-1(x-2)(x-3)

Step-by-step explanation:

first we factor the negative:

-1 (x^2 - 5x +6 )

the next step, (if possible) is to guess 2 numbers that multiplied are 6

and added are -5

in this case is easy to see that those numbers are -2 and -3

The solution then is:

-1(x-2)(x-3)

If guessing the 2 numbers doesn't work, you need to complete the square

2/10 is less, because with a common denominator they are 8/40 and 25/40.  Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.

Answer:

2/10 is less than 5/8

Step-by-step explanation:

2/10 =0.20

5/8= 0.625

0.20<0.625

4Answer:

exact form:

[tex]\frac{21}{5\\}[/tex]

decimal form:

4.2

mixed number form:

4[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Answer:

B. The cost of a smoothie

Step-by-step explanation:

The answer to the problem: 8.75 + 2.85 = $11.60

But to solve the problem you have to know the price of a smoothie.

Answer:2 5/42 or 89/42

Step-by-step explanation:

Answer:

504 * 0.12 = 60.48

Step-by-step explanation:

math

Answer:

its 60.48

Step-by-step explanation:

Convert 12% to a decimal which is 0.12

then do the sum 0.12x504

Answer:

0=17

Step-by-step explanation:

2X - 10=7 +2x

-10 = 7

7 is fasle

i believe the answer is 17

The initial fee.

Hope this helps ;)

Answer:

initial feee

Step-by-step explanation:

Answer:

Soccer = 120

Tennis = 220

Step-by-step explanation:

The total number of students enrolling for soccer and tennis classes is, 340.

The ratio number of students enrolling for soccer and tennis classes is, 6:11.

Then,

6x + 11x = 340

17x = 340

x = 20

The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.

The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.

Answer:

10. y=the total amount of money

A) y=4m

B) y= 4(5.25)

y= $21

11. y= total amount of money

A) y= 40m + 35

B) y= 40(10) + 35

y= $435

Number 10:

You know five people, you and four friends, are contributing the same amount of money for food.  Lets say F = Food and M=Money.  Since they are contributing the same amount of money, it would be 5 * m, or 5m.  So, F would equal 5m.   F=5m.

Part B-  You would do the same expression, F=5m, but you would instead plug 5.25 in for m.  So, 5.25 times 5 would equal 26.25 dollars.

Number 11:

Part A- Let M equal months.  $40 times the number of months + 35 is the total cost, so 40m +35 is the expression.

Part B-  Since the total cost is 40 dollars times the number of months + $35, you would multiply 40 * 10, to get 400 dollars over 10 months.  Then you would add the $35 fee, so the answer would be $435.

Answer: 28 white strands , 20 blue strands and 32 red strands are needed to make a pair of pom-poms

Step-by-step explanation:

Given :A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

To Find : If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms?

Solution:

Total Strands = 80

White Strands = 35%

No. of white strands =

Blue Strands = 25%

No. of blue strands =

Red Strands = 40%

No. of Red strands =

Answer:

D: 0.4 m/s

Step-by-step explanation:

32.5 in 13 sec

32.5/32.5=1

so

13/32.5 would be the answer

1 meter in 0.4

Answer:

C

Divide 32.5 with 13, because m/s means meters divide by seconds

im not sure tho

Answer:

Jack is wrong because 3,000 milliliters is equal to 3 liters.  If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:

[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].

Kindly refer to the attached image for details of the given angles and lines.

Proof that [tex]\angle q\cong \angle s[/tex] :

[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]

Here, subtraction property of equality is used in the last step shown in the above.

As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

Answer:

C

Step-by-step explanation:

Because I am a genius

Answer:

7+x

Step-by-step explanation:

this could also be written as “x + 7” and it means 7 more than (+) x

Answer:

It is 7+x (✿◠‿◠)