Help with this problem

Answer:

x= -3

Step-by-step explanation:

[tex] \frac{x + 6}{3} - \frac{x + 8}{5} = 0[/tex]

Multiply both sides by 15 (LCM of 3 and 5):

[tex] \frac{15(x + 6)}{3} - \frac{15(x + 8)}{5} = 0[/tex]

5(x +6) -3(x +8)= 0

Expand:

5x +30 -3x -24= 0

2x +6= 0

-6 on both sides:

2x= -6

x= -6 ÷2

x= -3

Answer:

Step-by-step explanation:

d + 2d = 120

3d = 120

d = 40 m

east distance was 40cos30 + 80cos120 = -5.35898 m

north distance was 40sin30 + 80sin120 = 89.282032

as 30° and 120° bearings are 90° apart, Jason needs to walk

D = √(d² + (2d)²) = d√5 or 40√5 meters or about 89.44 m to return to his original position.

we could also use √(-5.35898² + 89.282032²) = 89.44 m

direction will be

θ = arctan -89.28/5.359 = -86.565° or a bearing of 273.4°

Answer:

[tex]3x + 6y = 12[/tex]

[tex]3x + 6y - 6y = 12 - 6y[/tex]

[tex]3x = 12 - 6y[/tex]

[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] \frac{3x}{3} = 1 = x[/tex]

[tex] \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] = \frac{12 - 6y}{3} [/tex]

[tex] = \frac{6(2 - y)}{3} [/tex]

[tex] \frac{6}{3} = 2[/tex]

[tex] = 2( - y + 2)[/tex]

[tex]x = 2( - y + 2)[/tex]

Answer:

x=2(3-y)

Step-by-step explanation:

3x+6y=12

x+2y=4

x=4-2y

=2(2-y)

Answer:

Aiden spent $22.20. His sister spent $54.40. His sister spent $32.20 more than Aiden.

Step-by-step explanation:

Answer: First question: D, Second question: A

Step-by-step explanation:

Note: I'm not so good at expanding so I'll just solve it :)

So this leaves either C or D

Apply the sum rule:

8-70=-62

The only one that gives a negative sum is D

For the second picture, the one you have chosen is correct

a1 = 3 and r = -5 so:

an = 3/5 * (-5)^n

Plugging in 8 for n (the first choice) we get the given term: -234,375

Answer:

Step-by-step explanation:

Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.

  2 -7n for n=0 is 2 -7·0 = 2

  2 -7n for n=1 is 2 -7·1 = -5

The series of the last choice (d) is correct.

__

The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...

  an = 3(-5)^(n -1)

We want to find n for an = -234,375.

  -234375 = 3(-5)^(n-1)

  -78125 = (-5)^(n-1)

For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...

  78125 = 5^(n -1)

Taking logs of both sides, we get ...

  log(78125) = (n -1)·log(5)

  log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)

  n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate

-234,375 is the 8th term of the sequence.

It is not possible to have a bounded feasible region that does not optimize an objective function.

The viable zone is the common area that the linear programming problem's constraints all dictate.

There is an optimum value of the objective function if the feasible region is bounded and the function attains its optimum values at the extremes of the feasible region.

Hence,  it is not possible to have a bounded feasible region that does not optimize an objective function.

Learn more about the feasible region:

https://brainly.com/question/29314086

#SPJ2

Answer:

D, E and F

Step-by-step explanation:

Beause y is a point. It is a prime example physics.

Answer:

Q1: 3 pages per minute

Step-by-step explanation:

time = 3 minutes

pages = 9 pages

answer = 9 divided by 3 = 3

Answer:

3 pages per minute

1 hour per $5.29

Step-by-step explanation:

9÷3= 3

37÷7= 5.29

Answer:

60

Step-by-step explanation:

56-7+22÷2

56-7+11

67-7=60

hope it helps thanks

Answer:

y = -4x + 9

Step-by-step explanation:

using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plug in the x- and y- values of the two points above

[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]

y = -4x + b

use any point of the line and plug it into the equation above

5 = -4(0) + b

5 = -4 + b

5 + 4 = -4 + b +4

9 = b

the equation in full is y = -4x +9

Answer:

The terms are 2, 4, and 8

Step-by-step explanation:

a+b+c=14

a^2+b^2+c^2=84

Plug in numbers.

3+6+5=14

3^2+6^2+5^2=70

This is too little, meaning the some of the terms have to be larger.

1+7+6=14

1^2+7^2+6^2=86

This is too much, meaning smaller terms are needed.

2+8+4=14

2^2+8^2+4^2=84

This is perfect.

Step-by-step explanation:

I don't know the answer really

Answer:

Step-by-step explanation:

Let x be the adjacent side length in cm

opposite side is x + 2 cm

hypotenuse is x + 4 cm

x² + (x + 2)² = (x + 4)²

x² + (x² + 4x + 4) = (x² + 8x + 16)

x² - 4x - 12 = 0

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

so either

x - 6 = 0    x = 6

or

x + 2 = 0    x = -2

positive answer is x = 6 as negative length does not make sense

opposite side is 6 + 2 = 8

hypotenuse is 6 + 4 = 10

perimeter is 6 + 8 + 10 = 24 cm

Answer:

Yes, 35 feet is enough

The angle of elevation is 4.1º

Answer:

Domain: (-∞ , ∞)

Range: y <= 8        [8 , -∞)

Step-by-step explanation:

x = 2

f(x) = 8

x<=2

f(x) <=8

Answer:

first you need a problem to solve.

Step-by-step explanation:

what is the question here?

Answer:

c . f(x)=0,x=????????????

Answer: the answer would be C

Yes, the television is approximately 8 inches shorter than the space.

Step-by-step explanation: My name is Ebenezer Haile

Answer:

7 inches

Step-by-step explanation:

756÷108=7

that's about it, but I just divided the area and length.

Answer:

v = 6.32  m/s

Step-by-step explanation:

Given Data:

Mass = m = 40 kg

Kinetic Energy = KE = 800 J

Required:

Speed = v = ?

Formula:

[tex]\displaystyle KE = \frac{1}{2} mv^2[/tex]

Solution:

Rearrange the formula for speed

[tex]\displaystyle v =\sqrt{\frac{2KE}{m} } \\\\Put \ values\\\\v = \sqrt{\frac{2(800)}{40} } \\\\v = \sqrt{2(20) } \\\\v = \sqrt{40} \\\\\boxed{v = 6.32 \ m/s}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

6 or -1.5

Step-by-step explanation:

We can let this integer be x.

Therefore, according to the question we have:

[tex]2x^2-18=9x[/tex]

Subtracting 9x, we have a quadratic:

[tex]2x^2-9x-18=0[/tex]

Plugging into the quadratic equation:

[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]

the square root of 81+144 is 15, so the answer is either 6 or -1.5

Answer:

yes your absolutely right

Step-by-step explanation:

you just are

Step-by-step explanation:

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

a=1.

b=-7

c=-6

x=

[tex] \frac{ - ( - 7) + \sqrt{ (- 7)^{2} - 4(1)( - 6)} }{2(1)} [/tex]

OR

[tex] \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} [/tex]

Therefore x= 7,772

OR

x=-0,772

Answer:

5 times more books

Step-by-step explanation:

In total Marisol has 75 books.  She has 5 times as many books and Jerry has 15.  5*15=75

Answer:iojoenckcnurmum

Step-by-step explanation:

[tex]\huge\bf Question:—[/tex]

[tex] \sf \longmapsto \: g=a(4− {d}^{2} )[/tex]

[tex]\huge\bf Solution:—[/tex]

[tex] \underline{\bf \: Flip \: the \: equation:—}[/tex]

[tex] \sf \longmapsto \: −a {d}^{2} +4a=g[/tex]

[tex] \underline{\bf \: Factor \: out \: variable \: (a):—}[/tex]

[tex] \sf \longmapsto \: a(− {d}^{2} +4)=g[/tex]

[tex]\underline{ \bf \: Divide \: both \: sides \: by -d^2+4 :—} [/tex]

[tex]\sf \longmapsto \: \dfrac{a( - {d}^{2} + 4) }{ { - d ^2+ 4}^{} } = \dfrac{g}{{ - d ^2+ 4}^{}} [/tex]

[tex]\sf \longmapsto \:1 a = \dfrac{g}{{ - d^2 + 4}^{}} [/tex]

[tex]\underline{\bf Answer:—}[/tex]

[tex]\boxed{ \bf \: a = \dfrac{g}{ - d^2 + {4}^{} } }[/tex]

Answer:

[tex]\boxed{\boxed{\sf a=\cfrac{G}{4-d^2} }}[/tex]

Step-by-step explanation:

[tex]\sf G=a(4-d^2)[/tex]

Use the Distributive Property to multiply a by (4-d^2):

[tex]\sf G=4a-ad^2[/tex]

Now, we'll swap sides so that all variable terms are on the left hand side.

[tex]\sf 4a-ad^2=G[/tex]

Combine like terms:

[tex]\sf (4-d^2)\:a =G[/tex]

Divide both sides by 4-d^2:

[tex]\sf \cfrac{(4-d^2)a}{4-d^2} =\cfrac{G}{4-d^2}[/tex]

Dividing by 4-d^2 undoes the multiplication by 4-d^2.

[tex]\sf a=\cfrac{G}{4-d^2}[/tex]

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