−k+2(−2k−5) simplify

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

[tex]y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0[/tex]

Answer: 1/2

Step-by-step explanation: 1/2 times 3 is the improper fraction 3/2

Answer:

The answer is 1/2

Step-by-step explanation:

1/3 x 3/2

To break it up you multiply the top numbers to get 3

The you'd multiply the bottom numbers to get 6

so your answer is 3/6 which is also equal to 1/2

Answer:

69,420

Step-by-step explanation:

._. you stole the egg from the chicken didn't you

he woke up bc you threw the egg at his face

kid + napping... ok i get it now im slow

Answer:

[tex]G(x) = 2x^2+6[/tex].

Step-by-step explanation:

The given function is

[tex]f(x) = \frac 2 3 x^2 +2[/tex]

On vertical stretch by a factor of 3, the new function G(x) is

G(x) = 3 f(x)

So, [tex]G(x) = 3 \times ( \frac 2 3 x^2 +2)= 2x^2+6[/tex]

Hence, the required function is [tex]G(x) = 2x^2+6[/tex].

Answer:

I'd say x=4.5

Step-by-step explanation:

I learned this in 6th grade so don't completely take my word for it. But you can build off of my answer probably. Sorry.

Answer:

3.5 kg, 0.5 kg

Step-by-step explanation:

The starting weight is represented by the y intercept, and the slope of the line is 0.5, so that's the average weight gain per month. Hope this helps!

Answer:

coordinated answer: (7,7)

Step-by-step explanation:

Area = Length * Width = (3m)(xm) = 3xm².

Answer and Step-by-step explanation: Area of a right triangle, (as any other triangle), is calculated as:  [tex]A1=\frac{(base)(height)}{2}[/tex]

Area of a rectangle is calculated as: [tex]A2=(side)(side)[/tex]

Area of a right trapezoid is: [tex]A3=\frac{(a+b)h}{2}[/tex], where:

a is short base

b is long base

h is height

1) Expressing areas in terms of x:

Area of triangle S1:

[tex]S1=\frac{(2x-3)(4x-6)}{2}[/tex]

[tex]S1=4x^{2}-12x+9[/tex]

Area of rectangle S2:

[tex]S2 = (4x-6)(3x-2)[/tex]

[tex]S2=12x^{2}-26x+12[/tex]

Area of trapezoid S3:

[tex]S3=\frac{(2x+3+4x+1)(2x-3)}{2}[/tex]

[tex]S3=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]S3=6x^{2}-5x-6[/tex]

2) a) [tex]S=4x^{2}-12x+9+12x^{2}-26x+12-(6x^{2}-5x-6)[/tex]

[tex]S=4x^{2}-12x+9+12x^{2}-26x+12-6x^{2}+5x+6[/tex]

[tex]S=10x^{2}-33x+37[/tex]

Which is the same as S = (2x-3)(5x-9)

b) For the areas to be the same:

[tex]\frac{(3x-2+3x-2+2x-3)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]\frac{(8x-7)(4x-6)}{2}=\frac{(6x+4)(2x-3)}{2}[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12[/tex]

[tex]20x^{2}-66x+54=0[/tex]

Using Bhaskara to solve the second degree equation:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.54)} }{2(20)}[/tex]

[tex]x_{1}=\frac{66+6}{40}[/tex] = 1.8

[tex]x_{2}=\frac{66-6}{40}[/tex] = 1.5

For the areas of AFGC and ADEB to be equal, x has to be 1.5 or 1.8.

c) Expand a polynomial (or equation) is to multiply all the terms, remiving the parenthesis. Reduce a polynomial (or equation) is to combine terms alike,e.g.:

[tex]S=(2x-3)(5x-9)[/tex]

[tex]S=10x^{2}-18x-15x+27[/tex] (expand)

[tex]S=10x^{2}-33x+27[/tex] (reduce)

d) For area of AFCG to be bigger than area of ADEB by 27:

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x-12+27[/tex]

[tex]32x^{2}-48x-28x+42=12x^{2}+8x-18x+15[/tex]

[tex]20x^{2}-66x+27=0[/tex]

Solving:

[tex]\frac{66+\sqrt{(-66)^{2}-(4.20.27)} }{2(20)}[/tex]

[tex]\frac{66+46.86}{40}[/tex]

[tex]x_{1}=\frac{66+46.86}{40}=[/tex] 2.82

[tex]x_{2}=\frac{66-46.86}{40}[/tex] = 0.48

According to the enunciation, x cannot be less than 1.5, then, the value of x so that area AFGC exceeds the area ADEB by 27 is 2.82

Answer:

size of angle A is 93.19°

Answer:

240 feet per hour

Step-by-step explanation:

Given that:

Submarine is descending for examining the sea floor.

Distance of sea floor from the surface = 2100 feet

Time taken for the descend = 8.75 hours

To find:

The rate of descent in feet per hour = ?

Solution:

Here, we are given the distance traveled in feet and the time taken to travel that distance in hours.

And we have to find nothing but the speed of the submarine.

First of all, let us have a look at the relationship among speed, distance and time.

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Putting the values of distance and time.

[tex]Speed = \dfrac{2100}{8.75}\\\Rightarrow Speed = \bold{240\ feet/hr}[/tex]

Answer:

6.9

7.-5

8.-10

Step-by-step explanation:

Step-by-step explanation:

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Answer:

1/1 or 1

Step-by-step explanation:

Answer:

1 or 1/1

Step-by-step explanation:

Answer:

A. 3

B. 2.825

Step-by-step explanation:

Data obtained from the question include:

Number of bedrooms (x) > Frequency(f)

1 >>>>>>>>>>>>>>>>>>>>> 5

2 >>>>>>>>>>>>>>>>>>>> 10

3 >>>>>>>>>>>>>>>>>>>> 15

4 >>>>>>>>>>>>>>>>>>>> 7

5 >>>>>>>>>>>>>>>>>>>> 3

Mode =?

Mean average of bedrooms =.?

A. Determination of the modal average of bedroom.

The mode of a given set of data is the the value with the highest frequency.

Considering the table given in the question above, we can see clearly that 3 has the highest frequency. Hence 3 is the modal average of the bedroom is 3

B. Determination of the mean average of bedroom.

Mean = Σfx / Σf

Σfx = (1×5) + (2×10) + (3×15) + (4×7) + (5×3)

Σfx = 5 + 20 + 45 + 28 + 15

Σfx = 113

Σf = 5 + 10 + 15 + 7 + 3

Σf = 40

Mean = Σfx / Σf

Mean = 113 / 40

Mean = 2.825

Therefore, the mean average of bedroom is 2.825

Answer:

number 2 (-8 -2)

Step-by-step explanation:

Answer:

The unit rate that Jeremy can row is 1.33 miles per hour.

Step-by-step explanation:

Unit rate is defined as the distance over a time period. The distance that Jeremy can row is given and the time period is given.

The distance (miles)=1/3=0.3333333...

time period: 1/4

0.33333/0.25=1.333333

Answer:

X= 4/7

Step-by-step explanation:

I used a calculator :)

Answer:

D=6

Step-by-step explanation:

common defence is 6

hope it help you

Answer:

<4 = 88

<3 = 92

Step-by-step explanation:

The sum of the angles of a triangle is 180

<4 + 45+ 47 = 180

<4 + 92 = 180

< 4 = 180-92

<4 = 88

We know the <3 and <4 form a line

<3 + <4 = 180

<3 + 88 = 180

< 3 = 180-88

<3 = 92

Answer:

theres 26 lines of symmetry i think....hope this helps:)

Answer:

[tex]m \times n \\ when \: m = 13 \: and \: n = 12 \\ = 13 \times 12 \\ = 156[/tex]

Answer:

Step-by-step explanation:

-20z+8+(-6)

-20z+2

Answer:

it is (-20z+8)+(-24)

Step-by-step explanation:

the operation that is done here is multiplication. so, now you can just multiply each term, -5z times 4, 2 times 4, -6 times 4.

-5z times 4: -20z

2 times 4: 8

-6 times 4: -24

Answer:

Step-by-step explanation:

1km = 100000cm

50 km = 50 x 100000 = 5000000cm

Answer:

-16, -4

Step-by-step explanation:

x² +20x +100 -36 = 0

x² +20x +64 = 0

x² -Sx +P =0, where S= sum of roots, P=product of roots

so what 2 numbers have

S= -20 and P = 64 , ...that ul be -4, -16

or you can use factoring:

( x+16) ( x+4) = 0

x+16 = 0 , x= -16

x+4 =0, x = -4

or you can do quadratic equation, or graph ...

Answer: The Answer is:

Fraction form: x= -32/11

Decimal form: x= -2.90909....

Step-by-step explanation:

1. Add similar elements: 2x+20x=22x

22x+100=36

2. Subtract 100 from both sides:

22x+100-100=36-100

3. Simplify:

22x=-64

4. Divide both sides by 22:

22x÷22=-64÷22

5. Your Answer:

x= -32/11

Answer:

x = 3

Step-by-step explanation:

6.78x - 5.2 = 4.33x + 2.15

6.78x - 4.33x = 5.2 + 2.15

2.45x = 7.35

x = 7.35/2.45

x = 3

Thus, The value of x is 3

-TheUnknownScientist

Answer:

1:4

Step-by-step explanation:

Ratios and Fractions

It's given 1/5 of the chocolates in a box contain nuts. The rest do not contain nuts. The portion that does not contain nuts is:

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

We need to calculate the ratio of the number of chocolates that contain nuts to the number of chocolates that do not contain nuts.

This can be done by dividing 1/5 by 4/5:

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

Operating:

[tex]\displaystyle \frac{1}{5}\cdot\frac{5}{4}=\frac{1}{4}[/tex]

Expressing it as a ratio: 1:4

Given:

The table shown the number of campers, x, at a local campsite and the total amount of money, y, in dollars, earned by the camp site.

To find:

The unit for the rate of change.

Solution:

We know that, rate of change is the change in y-values with respect to x-values, i.e.,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

In the given problem, y is the total earnings in dollars and x is the number of campers. So, the rate of change represents the change is earnings with respect to number of campers.

Thus, the unit of rate of change is dollars per camper.

Therefore, the correct option is D.

Answer:

your answer will be 14 square root 2cm :)

Step-by-step explanation:

Just got done with the pretest this is correct also known as answer B!

The required length of the hypotenuse is 14√2.

The 2 sides of the right angle triangle are known i.e. 14 centimeters. Length of the hypotenuse to be determined.

The right angle triangle is defined as which contains at least one angle of 90°.

Here, other two side of hypotenuse is 14 centimeter.
Hypotenuse = [tex]\sqrt{14^2+14^2}[/tex]
                     = [tex]14\sqrt{2}[/tex]

Thus, the required length of the hypotenuse is 14√2.  

Learn more about right angle triangle here:
https://brainly.com/question/3770177

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