How do I factor this equation fully?

Answer:

x^2+2x-5 - 1/x

Step-by-step explanation:

f(x)=1/x

g(x)=x^2+2x-5

(g-f)(x) = x^2+2x-5 - 1/x

Answer:

c. x² + 2x - 5 - 1 / x

Step-by-step explanation:

f ( x) = 1 / x.

g ( x) = x² + 2x - 5

so,

( g - f) ( x) = x² + 2x - 5 - 1 / x

3-digit number is abc. ( just call it)

abc= 9d + 3, meaning abc = 3e

abc = 2k + 1, meaning abc is an odd number

abc = 5t + 4, meaning c = 9 ( because abc is an odd number so c can not be 4)

so a+b must be equal 3.

abc can be 309, 219, 129

Answer:

Below.

Step-by-step explanation:

If the sum of any 2 sides are less than or equal to the third side then there's no triangle

1. N0 because 4 + 5 < 10

2. YES

3. NO because 2 + 3 = 5.

Answer:

Step-by-step explanation:

1 . 4,5,10 : this measurement does not form a triangle because the sum of two  sides is not greater than the third side (longest side)

4 + 5 > 10

9 > 10   (this is not satisfied)

2. 12,26,20 :this measurement forms  a triangle beacuse the sum of two sides is greater than the third side

12 + 26 > 20

38 > 20

3 .

2,3,4 : this measurement does not form a triangle because the sum of two sides is not greater than the third side.

2 + 3 > 5

5 > 5  (this is not satisfied)

2. 22:30

just add 12 on the front

that is the formula

2 If 9:30pm is 21:30,then 10:30pm=22:30 pm

3 15 seconds

4. If 10:30 = 22:30 then 11:50pm = 23:50

16. 3*1.5*1=4.5m^3

I think this are the ones I can try ,I hope this helps.

Answer:

-65

Step-by-step explanation:

Step-by-step explanation:

(2a–3b+4c)²=

4a²+9b²+16c²-12ab-24bc+8ac

Answer:

Because we know that here we have an oscillation, we can model this with a sine or cosine function.

P = A*cos(k*t) + M

where:

k is the frequency

A is the amplitude

M is the midline

We know that at t = 0, we have the lowest population.

We know that the mean is 129, so this is the midline.

We know that the population oscillates 25 above and below this midline,

And we know that for t = 0 we have the lowest population, so:

P = A*cos(k*0) + 129 = 129 - 25

P = A + 129 = 129 - 25

A = -25

So, for now, our equation is

P = -25*cos(k*t) + 129

Because this is a yearly period, we should expect to see the same thing for t = 12 (because there are 12 months in one year).

And remember that the period of a cosine function is 2*pi

Then:

k*12 = 2*pi

k = (2*pi)/12 = pi/6

Finally, the equation is:

P = -25*cos(t*pi/6) + 129

Now we want to find the lowest population was in April instead:

if January is t = 0, then:

February is t = 2

March is t = 3

April is t = 4

Then we would have that the minimum is at t = 4

If we want to still use a cosine equation, we need to use a phase p, such that now our equation is:

P = -25*cos(k*t + p) + 129

Such that:

cos(k*4 + p) = 1

Then:

k*4 + p = 0

p =  -k*4

So our equation now is:

P = -25*cos(k*t  - 4*k) + 129

And for the periodicity, after 12 months, in t = 4 + 12 = 16, we should have the same population.

Then, also remembering that the period of the cosine function is 2*pi:

k*12 - 4*k = 2*pi

k*8 = 2*pi

k = 2*pi/8 = pi/4

And remember that we got:

p = -4*k = -4*(pi/4) = -pi

Then the equation for the population in this case is:

P = -25*cos( t*pi/4 - pi) + 129

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Step-by-step explanation:

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Answer:

The answer is the square root of 8, or 2root2.

Step-by-step explanation:

Use the distance formula.

d = sqrt((-3-(-5))^2 + (-3-(-1)))

d = sqrt(2^2 + 2^2)

d = sqrt(4 + 4)

d = sqrt8

d = sqrt4 * sqrt2

d = 2 * sqrt2

Answer:

Espanol la vecsu

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

The diagonals of a rectangle bisect each other , so

DE = EB , that is

7x - 1 = 2x + 4 ( subtract 2x from both sides )

5x - 1 = 4 ( add 1 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Answer:

y = -3x + 13

Step-by-step explanation:

First, find the slope:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{4-10}{3-1}\\\\m=\frac{-6}{2}\\\\m=-3[/tex]

Finally, find the equation:

[tex]y-y_1=m(x-x_1)\\\\y-4=-3(x-3)\\\\y-4=-3x+9\\\\y=-3x+13[/tex]

Answer:

153.3852

Step-by-step explanation:

After the decimal, you count the places. 3 is in the ones place, 8 in the tenths, 5 in the hundreths, and 1 in the thousandths. The thousandths place is what we are rounding, so we look at the next number, 9, which tells us to round the 1 up to 2

Answer:

153.385

Step-by-step explanation:

153.38519

153.38519

The digit to the right of the thousandth (the the one, which is bolded) is less than or equal to 4, which means we round down.

153.38519 ≈ 153.385

Hope this helps.

Answer:

x ≥ 12

Step-by-step explanation:

-3/4x +2 ≤ -7

Subtract 2 from each side

-3/4x +2-2 ≤ -7-2

-3/4x  ≤ -9

Multiply each side by -4/3, remembering to flip the inequality

-3/4x * -4/3 ≥ - 9 *(-4/3)

x ≥ 12

Answer:

x>=12

Step-by-step explanation:

-3/4x + 2<=-7

-3/4x <= -7 -2

-3/4x<=-9

cross multiply

-3x<=-36

dividing throughout by -3

x>=12

Answer:

After three months the value of the food bill will be $ 224.64.

Step-by-step explanation:

Given that during the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month, for state whether this increase was linear or exponential, and determine, if your food bill was $ 130 in one month during this period, what was it three months later, the following calculations must be performed:

A hyperinflation raises prices exponentially (the percentage is calculated based on the increase of the previous month). Thus, to calculate the price of the food bill, the following calculation must be performed:

130 x 1.20 ^ 3 = X

130 x 1.728 = X

224.64 = X

Therefore, after three months the value of the food bill will be $ 224.64.

Answer:

The surface area of the rectangular prism is of 22 square millimeters.

Step-by-step explanation:

Surface area of rectangular prism:

The surface area of a rectangular prism with length l, width w and height h is given by:

[tex]S = 2(lw + lh + wh)[/tex]

Length 12 mm, width 3mm and height 5 mm

This means that [tex]l = 12, w = 3, h = 5[/tex]

Surface area:

[tex]S = 2(lw + lh + wh) = 2(12(3) + 12(5) + 3(5)) = 2(36 + 60 + 15) = 2(111) = 222[/tex]

The surface area of the rectangular prism is of 22 square millimeters.

Answer:

46

Step-by-step explanation:

Diagonals of square are equal, Therefore,

KM=161

JL=4x-23

4x-23=161

4x=161+23

4x=184

x=184/4

x=46

A. 13

Explanation= 6 (sons) +6 (daughters) +1 (mother) = 13.

(notes: as a father is not within the problem, there is no reason to be in the answer)

Answer:

B)8

A mother has 6 sons.  If there is only one sister, than each son has a sister.  Don't forget to add the mother.  6 + 1 + 1

Step-by-step explanation:

Answer:

Correct answers= 18

Incorrect answers=30-18= 12 answers

Step-by-step explanation:

total questions=30

correct answers= x

incorrect answers= 30-x

given: 5 marks for each correct answer

therefore, marks for correct answers = 5*x = 5x

Given: 1 mark deducted for every incorrect answer

therefore, marks deducted = 1(30-x) = 30-x

Total marks scored= 78

★  The Difference of Marks scored for Correct Answers and Marks deducted for Incorrect Answers should be equal to 78

5x- (30-x) =78

5x-30+x=78

5x+x=78+30

6x= 108

x=108/6 = 18

Correct answers= 18

Incorrect answers=30-18= 12 answers

9514 1404 393

Answer:

  (c)  2440

Step-by-step explanation:

The sum of the squares of numbers 1 .. n is ...

  s(n) = n(n +1)(2n +1)/6

You want the sum of squares from 5 to 19. We can compute that from ...

  s(19) -s(4) = (19(20)(39) -4(5)(9))/6 = (14820 -180)/6 = 2440

Answer:

Step-by-step explanation:

hope it helps u too

Answer:

101 - 37 = 64

I hope this is correct

9514 1404 393

Answer:

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH . . . . . the product of length, width, height

This rectangular prism has a volume of ...

  V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume

__

The volume of a triangular prism is found from the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...

  A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.

Here, we have ...

  B = 1/2(6 ft)(4 ft) = 12 ft²

  V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume

__

The total volume of the given geometry is the sum of the volumes of the parts:

  aquarium volume = 288 ft³ +72 ft³ = 360 ft³

Answer:

216

Step-by-step explanation:

=>log   36 = -2/3

        m

=>36=(m)^-2/3

=>(root(-36))^3=m

=>m=(root(36))^3

=>m=6^3

=>m=216

Answer:

It will take him 5.85 seconds.

Step-by-step explanation:

12.5 (0.2t - 1) + 21t = 150

Use Distributive Property:

2.5t - 12.5 + 21t = 150

Combine like terms:

23.5t - 12.5 = 150

Subtract 12.5 from both sides:

23.5t = 137.5

Divide both sides by 23.5 to isolate variable t:

5.851063.....

Round to two decimal places (hundredths place):

5.85

Answer:

300 computers

Step-by-step explanation:

So I divided 1500 out of a 100 and got 15, then I multiply 15 to 20 and got 300.

(I am a high schooler so I hope this is 3rd grade math because I notice you are a college student and I hope this not some college tricky math, if you get this wrong I am truly sorry)

Answer:

[tex]base = 8 ft\\height =28 ft\\[/tex]

Step-by-step explanation:

let base be x ft. then the height is 3x+4

[tex]Area=\frac{1}{2} \times x \times (3x+4)=112\\3x^{2} +4x=224\\3x^{2} +4x-224=0\\x=8, x=-9.33 (no sol. as length can not be negative)\\ x=8\\base = 8 ft\\height =3(8)+4=28 ft\\[/tex]

Answer:

base = 8 , height = 28

Step-by-step explanation:

Let base be = b

Given:

                             height is 3times base = 3b

        Also 4 feet more than 3 times base = 3b + 4

                           Area = 112 square feet

              [tex]area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} \times b \times (3b+ 4)\\\\224 = b(3b+4)\\\\224 = 3b^2 + 4b\\\\3b^2 + 4b - 224 = 0\\\\[/tex]

The quadratic equation with a = 3 , x = 4 , c = -224

Therefore ,

             [tex]b = \frac{-x \pm \sqrt{x^2 - 4ac}}{2a}\\\\[/tex]

             [tex]b= \frac{-4 \pm \sqrt{4^2 - (4 \times 3 \imes -224)}}{2 \times 3}\\\\b= \frac{-4 \pm \sqrt{16 + 2688}}{6}\\\\b= \frac{-4 \pm \sqrt{2704}}{6}\\\\b= \frac{-4 \pm52 }{6}\\\\b = \frac{-4 + 52}{6} , \ b = \frac{-4 -52}{6}\\\\b = \frac{48}{6} , \ b = -\frac{56}{6}[/tex]

Since base can't be negative base = 8 ft

Therefore , height = 3b + 4 = 3(8) + 4 = 24 + 4 = 28

Answer:

10x² + 16xy + 6x

Step-by-step explanation:

2x(5x+8y+3)

10x² + 16xy + 6x

Answer:

[tex]10x^{2} + 16xy + 6x[/tex]

Hope this helped!

Answer:

B. y= ¼

Step-by-step explanation:

3 + ^4√4y = 4

^4√4y =4-3

^4√4y = 1

^4√4y =^4√1

so, 4y = 1

y = ¼

Answer:

espero ayudarte ..............❤❤

Answer:

b

Step-by-step explanation: