what is the measure of DE?

Answer:

hey ok

Step-by-step explanation:

a

Answer:

x² + 24x + 84

Step-by-step explanation:

4 * (x+3)(x+3) - 3 * (x+4)(x-4)

4(x²+6x+9) - 3(x²-16)

4x² + 24x + 36 - 3x² + 48

x² + 24x - 84

The points of inflection for the function [f(x) = (x⁴ - 6x²)] are (1, -5) and

(-1, -5).

As per the question statement, we are provided with a function

[f(x) = (x⁴ - 6x²)].

We are required to determine the points of inflection for the above mentioned function.

To solve this question, we will have to calculate the second derivative of the given function. Then, we will have to equate the derivative to zero and solve for x. The obtained values for "x" will be our abscissa, and substituting these values of "x" in f(x), we will obtain our respective ordinates [Since, {y = f(x)}].

[tex]f(x)=(x^{4} -6x^{2})\\or,\frac{d[f(x)}{dx} = \frac{d(x^{4} -6x^{2}) }{dx}\\ or, f'(x)=\frac{dx^{4}}{dx}-\frac{d(6x^{2})}{dx}\\ or, f'(x)=\frac{dx^{4}}{dx}-6\frac{d(x^{2})}{dx}\\or, f'(x)=4x^{(4-1)}-(6*2)[x^{(2-1)}]\\ or,f'(x)=4x^{3}-12x\\[/tex]

Therefore, the second derivative of f(x) = [tex]\frac{d^{2}f(x)}{dx^{2} }[/tex]

[tex]or,f"(x)=\frac{d[f'(x)]}{dx}\\or,f"(x)=\frac{d(4x^{3} -12x)}{dx}\\or, f"(x)=\frac{d(4x^{3}) }{dx}-\frac{d(12x)}{dx}\\ or, f"(x)=4\frac{d(x^{3}) }{dx}-12\frac{d(x)}{dx}\\or,f"(x)=(4*3)[x^{(3-1)}]-(12*1)[x^{(1-1)}]\\ or, f"(x)=12x^{2} -12[/tex]

Now, equating (12x² - 12) to Zero, we get,

[tex](12x^{2} -12)=0\\or,12x^{2} =12\\or,x^{2} =1\\or,x=(1, -1)[/tex]

Now, substituting (x = 1) in f(x), we get,

[tex]y=f(1)=[(1)^{4}-6(1)^{2}]\\ or,y=[1-(6*1)]\\or,y=(1-6)\\or,y=(-5)[/tex]
Hence, one point of inflection for the function [f(x) = (x⁴ - 6x²)] is (1, -5).

Again, substituting [x = (-1)] in f(x), we get,

[tex]y=f(-1)=[(-1)^{4}-6(-1)^{2}]\\ or,y=[1-(6*1)]\\or,y=(1-6)\\or,y=(-5)[/tex]

That is, another point of inflection for the function

[f(x) = (x⁴ - 6x²)] is (-1, -5).

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Answer:

2 × 1 +2 × 4= 10

Step-by-step explanation:

because 2×1 is 2 and 2×4 is 8 then you add them and get 10

Answer:

5

Step-by-step explanation:

6+9=15

15/3=5

Answer:

(1, -3)

Step-by-step explanation:

Use Desmos! It's really useful.

Answer:

41/30

Step-by-step explanation:

Answer:

false true true true

Step-by-step explanation:

The equation for x = 6 is true and would be equal to 6x = 12. and the rest are false.

An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The given equations are;

6x = 12

Substitute x = 6 to check whether the solution satisfies the equation;

6(6)  = 36

Thus, it is False.

5 + x = 11

Substitute x = 6 to check whether the solution satisfies the equation;

5 + x = 11

5+ 6 = 11

Thus, it is True.

x ÷ 2 = 3

Substitute x = 6 to check whether the solution satisfies the equation;

6/2 = 3

Thus, it is True.

17 – x = 11

Substitute x = 6 to check whether the solution satisfies the equation;

17 - 6 = 11

Thus, it is True.

Hence, the equation for x = 6 is true and would be equal to 6x = 12. and the rest are false.

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Answer:

4/12

Step-by-step explanation:

brainest plz

Answer:

b

Step-by-step explanation:

Answer: -18

Step-by-step explanation:

if 6-2d=42

just subtract 6 from both sides

-2d=42-6

-2d=36  now divide by 2

-d=18

multiply by -1

d=-18

Answer: d=-18

Step-by-step explanation:

6-2d=42

First subtract 6 from both sides

-2d=36

Now divide both sides by -2 to get d alone

d=-18

Answer:

33 adult tickets and 21 student tickets

Step-by-step explanation:

We will create a system of equations.

Let x = the number of adult tickets sold and let y = the number of student tickets sold

x + y = 54

3x + 2y = 141

We can cancel out the y by multiplying the first equation by -2.

-2x - 2y = -108

3x + 2y = 141

Adding these equations together we get:

x = 33

Plugging this into the equation, we have:

38 + y = 54

y = 21

There were 33 adult tickets and 21 student tickets

Answer:

Mean = 41.588

Standard Deviation = 17.765

Step-by-step explanation:

60 - N/D = 1.03643

75 - M/D

75 - (60 - 1.03643D)/D = 1.88079

15 + 1.03643D = 1.88079D

15 = 0.84436D

17.765 = D

D = 17.765

-----------------------------------

60 - M = 1.03643D

60 - 1.03643D = M

M = 60 - 1.03643(17.765)

M = 41.588

Answer:

3.72 ft

Step-by-step explanation:

Height of the wall will be equal to the width of the wall because we are considering over surface area of the wall

Therefore,

Area of the wall = length * height

1534 = 412 * height

Height = 1534/412

Height = 3.72 ft

Answer:

x=75/4

Step-by-step explanation:

4x+3=8x-9

4x+3= -72

4x= -72-3

4x= -75

x=75/4

Answer:

23m-18

Step-by-step explanation:

2(7m−5)+(−8+9m)

Remove parenthesis

2(7m-5)-8+9m

expand

14m-10

14m-10-8+9

simplify

23m-18

Ask me for more questions brainliest please.

Answer:

In 8 minutes, she can jog 4000 feet.

Step-by-step explanation:

Davita jogs 2000 feet in 4 minutes.

Her rate is 2000/4 or 500 feet per minute.

500*8 = 4000

Answer:

baila como juana la cubana

Step-by-step explanation:

Answer:

Algebraic properties can be used as "reasons" in a two-column proof.

Step-by-step explanation:

Let's take an example:

Given: F = 9/5C + 32

Prove: C = 5/9(F-32)

Statements                                       Reasons

1) F = 9/5C + 32                               1) Given

2) F-32 = 9/5C                                 2) subtraction

3) 5/9(F-32) = C                                3) multiplication

4) C = 5/9(F-32)                                4) symmetric property

Therefore, we conclude that Algebraic properties can be used as "reasons" in a two-column proof.

Answer: use this link

Step-by-step explanation:

The mode of the given data set is 1.

The given data set is 5, 4, 0, 1, 1, 0, 2, 2, 3, 1, 0, 4, 1, 1, 5, 2, 4, 0, 1, 2, 3.

We need to find the mode of the given data set.

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.

The order of the given data set is

0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, and 5.

Here, mode=1 (appear 6 times)

Therefore, the mode of the given data set is 1.

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Answer:

16

Step-by-step explanation:

Answer:

  (d)  48(0.25^(n-1))

Step-by-step explanation:

The points shown on the graph have y-values that decrease by a factor of 4 as x-values increase by 1. The first couple are (1, 48), (2, 12). You want the formula for the n-th term.

The terms of a geometric sequence have a common ratio (r). If the first term is a1, the general term is ...

  an = a1(r^(n-1))

The given sequence has first term a1 = 48. The common ratio is ...

  r = 12/48 = 1/4 = 0.25

Using these value in the formula for the general term, we find the n-th term to be ...

  an = 48(0.25^(n-1)) . . . . n-th term of the pattern

[tex]\begin{array}{ccccccccc} 1&&2&&3&&4&&5\\\cline{1-9} \\48&,&12&,&3&,&\underset{0.75}{\frac{3}{4}}&&\underset{0.1875}{\frac{3}{16}}\\[2em]\cline{1-9} &&48\left( \frac{1}{4} \right)&&12\left( \frac{1}{4} \right)&&3\left( \frac{1}{4} \right)&&\frac{3}{4} \end{array}~\hfill \begin{array}{llll} a_1=48\\\\ r=\frac{1}{4} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\stackrel{\textit{first term}}{48}\\ r=\stackrel{\textit{common ratio}}{\frac{1}{4}\to 0.25} \end{cases}\implies a_n=48\left( 0.25 \right)^{n-1}[/tex]

Answer:

Step-by-step explanation: log x +log x +log15=2

2log x=2-log 15

log x= 0.823/2

x=antilog (0.411)

x=2.58

To find the answer, all we need to do is plug in the slope and point they gave us into the Point Slope Formula!

The point slope formula is ...

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

So lets put them in!

y - 4    =    2/3     (x - (-3))

Tip: remember when you subtract a negative number, it turns into adding !

So our final answer is probably D (I think you may have put a typo)

[tex]y - 4 = \frac{2}{3} (x + 3)[/tex]

The scores on the test are centered around 66 and vary from 43 to 85.

A stemplot is a type of table where figures are divided into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 31, 3 would be the stem and 1 would be the leaf.

The range is used to measure variation. The range is the difference between the highest number and the smallest number. The largest number is 85 and the smallest number is 43.

The data would be centered around the median. The median is the number at the center of a dataset. The median is a measure of central tendency.

Median = (sum of numbers + 1) / 2

(26 + 1) / 2

= 27 / 2 = 13.5th number

(66 + 67) / 2 = 66.5

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Answer:

1) Combine the x tiles to get: [tex]\mathbf{4x}[/tex]

2) Combine integer tiles to get: 3

3) The equivalent function is: [tex]\mathbf{4x+3}[/tex]

4) If we Substitute any value of x both expressions will be equivalent

Step-by-step explanation:

We are given expression: [tex]x+x+x+x++4-1\\[/tex]

We need to complete following statements.

1) Combine the x tiles to get:

[tex]x+x+x+x\\=4x[/tex]

Combine the x tiles to get: [tex]\mathbf{4x}[/tex]

2) Combine integer tiles to get:

[tex]+4-1\\=3[/tex]

Combine integer tiles to get: 3

3) The equivalent function is:

[tex]x+x+x+x++4-1\\\\4x+3[/tex]

The equivalent function is: [tex]\mathbf{4x+3}[/tex]

4) If we Substitute any value of x both expressions will be equivalent

Verifying:

[tex]x+x+x+x+4-1=4x+3\\Let\: x = 1\\1+1+1+1+4-1=4(1)+3\\4+4-1=4+3\\7=7[/tex]

So, Both expressions are equivalent.

The answer is "4x" for the first box

                        "3" for the second box

                        "4x + 3" for the third box

And "Substitution"  for the last box

                                               You're Welcome!

    PS: I want to thank the first person for answering, you are amazing,

                                                       thanks!

Answer:

is important because yo understand more with paragraph

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation: (See picture)

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Hope this helps!

Have a great day and God bless! :)

Answer: Rami saved 2004 pennies

Step-by-step explanation: