The graph of 2x-3y=6 is shown on the grid. Which ordered pair is in the solution set of 2x-3y≤6?

Answer/Step-by-step explanation:

a. 3x + 13 = 12x - 2x

Add like terms

3x + 13 = 10x

3x = 10x - 13 (subtraction property of equality)

3x - 10x = - 13 (substraction property of equality)

-7x = -13

-7x = -13/-7 (division property of equality)

x = 13/7

b. 6j - 12 + 4j - 8 = 10

Add like terms

6j + 4j - 12 - 8 = 10

10j - 20 = 10

10j = 10 + 20 (addition property of equality)

10j = 30

10j/10 = 30/10 (division property of equality)

j = 3

c. 10y - 4y = 14 + 2y - 3y

Add like terms

6y = 14 - y

6y + y = 14 (addition property of equality)

7y = 14

7y/7 = 14/7

y = 2

d. 4p + 8 - 3p = 33

Add like terms

4p - 3p + 8 = 33

p + 8 = 33

p = 33 - 8 (subtraction property of equality)

p = 25

Answer:

$38,465

Step-by-step explanation:

35 x 1,099 = 38,465

Answer:

3.33

hope I helped

Answer:

18 seconds per mile  

Step-by-step explanation:

Answer:

x>3/11

3x - 21 + 8x + 18 >0

11x - 3 >0

11x >3

x>3/11

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Answer:

Step-by-step explanation:

3(x - 7) + 2(4x + 9) > 0

3x-21+8x+18>0

11x-3>0

11x>3

x>3/11

Answer:

p= 76

A=338

Step-by-step explanation:

Perimeter: 15+18+18+8+17=76

Area:

15x18=270+(8x17/2)

270+68=338

Answer:

Option D

Step-by-step explanation:

36 represents the total cost that they spent

Answer:

a) .000064

b) .2621

c) .9984

Step-by-step explanation:

esta correcta confianza en me

Answer:

200$ equals 170 euros so he will have 170 euros

Answer:

6(7+15)

Step-by-step explanation:

6×7=42

6×15=90

Answer:

85

Step-by-step explanation:

Answer:

value of larger number is27

Step-by-step explanation:

x+y=45

x-y=9

2x=36

x=18

y=27

Answer: 27 + 18 = 45

27 - 18 = 9

Step-by-step explanation:

Answer:

1.a

2.j

3.g

4.d

5.i

6.l

7.b

8.c

9.f

10.h

11.e

12.k

Step-by-step explanation:

Answer:

The answer is -0.5

Step-by-step explanation:

Divide both side by the numeric factor on the left side then solve

Answer:

i dont speak chinese

Step-by-step explanation:

sorry ;-;

Answer:

1. 1/5    2. 3/5       4. 1/2    I dont know what 3 is

Step-by-step explanation:

Can you mark as BREINLEST

Answer:

17 feet

Step-by-step explanation:

A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.

The hypotenuse is the largest side of the right angle

The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively

Opposite = 15 feet

Adjacent = 8 feet

Hypotenuse = x feet

Using Pythagoras theorem to solve

Hypotenuse ² = opposite ² + adjacent ²

x² = 15² + 8²

x² = 225 + 64

x² = 289

Find the square root of both sides

√x² = √289

x = 17 feet

The 3rd side is 17 feet

Answer:true

Step-by-step explanation:

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

Answer:

A and D

Step-by-step explanation:

67 right out of 100 for the fraction and 67/100 = 67%

Answer: x=68, y=37

Step-by-step explanation:

The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.

2y-6+y=105

3y-6=105

3y=111

y=37

Then you would plug in the y to one of the equations. I will do the second one but you can do either one.

x=2y-6

x=2*37-6

x=74-6

x=68

Answer:

15

Step-by-step explanation:

I got this answer because I just added up all the x's.

1=3

2=2

3=5

4=3

5=2

3+2= 5

5+5=10

10+3=13

13+2=15

Answer:

[tex]c = 2\sqrt{5[/tex]

Step-by-step explanation:

Given

[tex]a = 2[/tex]

[tex]b = 4[/tex]

c = hypotenuse

Required

Find c

Using Pythagoras theorem, we have:

[tex]c^2 = a^2 + b^2[/tex]

Substitute values for a and b

[tex]c^2 = 2^2 + 4^2[/tex]

[tex]c^2 = 4 + 16[/tex]

[tex]c^2 = 20[/tex]

Take square roots of both sides:

[tex]c = \sqrt{20[/tex]

Express 20 as 4 * 5

[tex]c = \sqrt{4 * 5[/tex]

Split surd

[tex]c = \sqrt{4} * \sqrt{5[/tex]

Take square root of 4

[tex]c = 2 * \sqrt{5[/tex]

[tex]c = 2\sqrt{5[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Danny contributed $295

Step-by-step explanation:

Assume that Danny contributed $x

∵ Danny contributed x

∵ Beth contributed $80 more than Danny

→ Add The amount of Danny by $80 to get the amount od Beth

∴ Beth contributed x + 80

∵ Katie contributed $20 less than Beth

→ Subtract the amount of Beth by 20 to get the amount of Katie

∴ Katie contributed x + 80 - 20

∴ Katie contributed x + 60

∵ The three friends pay $1025

→ Add their amounts and equate the sum by 1025

∴ x + x + 80 + x + 60 = 1025

→ Add the like terms in the left side

∵ (x + x + x) + (80 + 60) = 1025

∴ 3x + 140 = 1025

→ Subtract 140 from both sides

∴ 3x + 140 - 140 = 1025 - 140

∴ 3x = 885

→ Divide both sides by 3

∴ x = 295

∵ x represents the amount of Danny contributed

∴ Danny contributed $295

Answer:

About 30 m/s

Step-by-step explanation:

[tex]\sf{\dfrac{a^x}{log(a)} }[/tex]

[tex]\sf{\dfrac{a^x}{ln(a)} }[/tex]

[tex]\sf{Let\ y=\dfrac{a^x}{ln(a)} }[/tex]

[tex]\sf{=\dfrac{d}{dx}\bigg[\dfrac{a^x}{ln(a)} \bigg] }[/tex]

[tex]\sf{=\dfrac{1}{ln(a)}.\dfrac{d}{dx}(a^x) }[/tex]

[tex]\sf{=\dfrac{ln(a)a^x}{ln(a)} }[/tex]

[tex]\boxed{\sf{=a^x}}[/tex]

→ [tex]\sf{[a.b(x)+c.d(x)]'=a.b'(x)+c.d'(x)}[/tex]

→ [tex]\sf{(a^x)'=ln(a).a^x}[/tex]

Answer:

a^x.

Step-by-step explanation:

y = a^x / log a

Assuming the log is to the base e:

y = (1/ log a) * a^x

Derivative of a^x:

Let u = a^x

log u = log a^x

log u = x log a

1/u * du/dx = log a

du/dx =  = u * log a

y = (1 / log a) * u

so  dy/du = 1/log a

and dy/dx = dy/du * du/dx

=  (1/log a )* log a u

= u

= a^x.

Answer:

8, 6, 4, 2

Step-by-step explanation:

f(n)=-2(n-1)+8

Plug n =1

f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8

Plug n =2

f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6

Plug n =3

f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4

Plug n =4

f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2