Which input value produces the same output value for the
two functions on the graph?
x = -3
x= -2
x= -1
x = 3

Answer:

A.

Step-by-step explanation:

The inequality matches the given statement  3n-5>2/3n.

An inequality is a relationship between two different quantities or expressions.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is b equal to

"Five less than three times a number is greater than two-thirds of that number.

3n-5>2/3n

Hence, the inequality matches the given statement  3n-5>2/3n.

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ANSWERS

1 B

2 24

3 B

4 A

5 B

6 D

1. 5

2. 7-3 root 3

3. 6

4. 4.24

5. 5.76

Answer:

The volume of the cylinder would be 226.19in however if you need it in terms of pi it would be  V = 72 π in3

Step-by-step explanation:

V=πr2h=π·62·2≈226.19467, hope I was able to help you

And that is basically what you have to do

Answer:

72π inches^3

Step-by-step explanation:

The volume of a cylinder can be found using:

v=πr^2h

We know that the radius is 6 inches, and the height is 2 inches. So, we can substitute 6 in for r, and 2 in for h.

v= π 6^2 *2

Evaluate the exponent

v= π 36*2

Multiply 36 and 2

v= π72

So, the volume in terms of pi is:

72π inches^3

Answer:

[tex]3x^{2}[/tex] +x -6 ; x = 3

Step-by-step explanation:

PART 1: The Polynomial

1. Set up the Equation: (x+3)(3x-2) - 6x

You want to find the area of the larger of the 2 rectangles that way you can subtract the area of the smaller one to get the shaded area (if that makes sense). You multiply length by width to get the area so you will multiply (x+3) by (3x - 2). The same applies to the smaller of the two rectangles, so that will be 6x.

2.FOIL: [tex]3x^{2}[/tex] - 2x + 9x -6 - 6x

You are going to want to foil (x+3) and (3x-2). If you are unfamiliar with the FOIL method I would recommend watching a Khan Academy video about it.

3. Simplify: [tex]3x^{2}[/tex] +x -6

Add and subtract like terms. This will be your polynomial.

PART 2: The Value of x

1. Set up the Equation: [tex]3x^{2}[/tex] +x -6 = 24

You will set the polynomial to equal 24 the polynomial and number both equal the size of the shaded area

2. Subtract: [tex]3x^{2}[/tex] +x -30 = 0

Subtract 24 from both sides.

3. Factor: (3x + 10)(x - 3) = 0

4. Set each group to equal zero.

  a. 3x + 10 = 0

      3x = -10

      x = -10/3

  ----------------

  b. x - 3 = 0

   x = 3

5. Check both the answers in [tex]3x^{2}[/tex] +x -6 = 24 to see if your answers are correct. The answer would be x = 3.

Polynomial representing the area of the shaded region will be (3x² - x - 6) square units and the value of 'x' is 3.

       Area of a rectangle = Length × Width

Given in the picture,

        Length = (x + 3) units

        Width = (3x - 2) units

        Length = x units

        Width = 6 units

Area of the shaded region = Area of the larger rectangle - Area of the smaller rectangle.

Area of the larger rectangle = (3x - 2) × (x + 3) square units

Area of the smaller rectangle = 6x square units

Area of the shaded region = (3x - 2)(x + 3) - 6x

                                            = 3x(x + 3) - 2(x + 3) - 6x

                                            = 3x² + 9x - 2x - 6 - 6x

                                            = (3x² + x - 6) square units

If the area of the shaded region is 24 square units.

3x² + x - 6 = 24                 [Substitute the values]

3x² + x - 30 = 0

3x² + 10x - 9x - 30 = 0      [Factor the equation]

x(3x + 10) + 3(3x + 10) = 0

(x - 3)(3x + 10) = 0

[tex]x=3,-\frac{10}{3}[/tex]

      Therefore, polynomial representing the area of the shaded region will be (3x² - x - 6) square units and the value of x is 3.

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Answer: I got the answer of  -7/2

Step-by-step explanation:

8

x

+3=

1

x

+1

Multiply all terms by x and cancel:

8+3x=1+1x

3x+8=x+1(Simplify both sides of the equation)

3x+8−x=x+1−x(Subtract x from both sides)

2x+8=1

2x+8−8=1−8(Subtract 8 from both sides)

2x=−7

2x

2

=

−7

2

(Divide both sides by 2)

x=

−7

2

Check answers. (Plug them in to make sure they work.)

x=

−7 /2

(Works in original equation)

Answer: -7/2

Using multiplication, the equation has the solution is -7/2.

The multiplication is "the process of multiplying one number is to multiply to its certain number of times".

According to the question,

[tex]\frac{8}{x} + 3 = \frac{1}{x} +1[/tex]

[tex]\frac{(8+3x)}{x} = \frac{1+x}{x}[/tex]

8 + 3x = 1 + x        [By cancel 'x' on both denominator]

 8 - 1 = x - 3x    

   7    = -2x

   x   = - [tex]\frac{7}{2}[/tex]      

Hence, using multiplication the equation has the solution is -7/2.

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Answer:

Linear would be fine as it doesn't decrease to under zero

and a curve graph would represent this data fine at 10818 turning point.

Step-by-step explanation:

Answer:

Cause I will any ways

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

thats it?

Answer:

Hi friend

Step-by-step explanation:

which part of transilvania do u like the best

Answer:

28

Step-by-step explanation:

take the median of the data set which is 56 and then take the median of the numbers before 56

28 is the median Q1 is 28

Answer:

28

Step-by-step explanation:

First step is to find the median of the data set.

The median is the middle value of the data arranged in ascending order. If there is not an exact value then it the average of the values either side of the middle.

23  28  28  36  56  60  61  65  70

                          ↑ median

The first quartile [tex]Q_{1}[/tex] is the middle value on the left side of the median.

23  28  28  36

          ↑

[tex]Q_{1}[/tex] = [tex]\frac{28+28}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28

So the right answer is of option B.

Look at the attached picture

hope it will be helpful to you...

Answer:

The second one

Step-by-step explanation:

Answer:

I think x is 761.28 Sorry if its wrong tried my best :) :(

Step-by-step explanation:

Answer:

[tex](5,-3)[/tex]

Step-by-step explanation:

Solve by Graphing.

Graph the lines.

When we graphed them, the intercepted at point (5,-3).

The solution the the system of equations is (5,-3).

Answer:

5,-3

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

(4x-5)(x-2)

Step-by-step explanation:

factors of 10: 1,10, &2,5

factors of 4: 1,4 &2,2

(4x-5)(×-2)

Answer:

D. $40

Step-by-step explanation:

you just plug in the numbers given to each of the values

p=$500

r=4%

t=2

then multiply them together and you have your answer

btw when multiplying them 4% would be .04 instead

hope this helps!

Answer:

F = 1/2 OF 143

S = 1/2 OF 55 or 60

Step-by-step explanation:

did the math

Answer:2

Step-by-step explanation:22*

Answer:

5 = 25 = 5

6 = 36 = 6

7 = NA

8 = 81 = 9

Answer:

see explanation

Step-by-step explanation:

Verifying that the left side equals the right side

left side = sin2x = 2sinxcosx

Consider the right side

2cotxsin²x

= 2 × [tex]\frac{cosx}{sinx}[/tex] × sin²x ← cancel sinx on numerator/ denominator

= 2cosxsinx = left side ⇒ verified

Answer:

The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

Its B

Step-by-step explanation:

Answer:

You take 6% of a number and the resulting number is 27.

To do this you need to change the percent into a fraction.

6% = 6/100

This is the number you need to multiply to the number you need to find, A.

6/100 A = 27

Solve for x

6 A = 27x100

A= 2700/6

A = 450

Check your answer:

6/100 (A) = 27

6/100 (450) = 27

(6x450) /100 = 27

2700 / 100 = 27

27 = 27

Step-by-step explanation:

Answer: up, left, down, right

Step-by-step explanation:

because

Answer:

k = -1

Step-by-step explanation: 6-4 = k-3k

subtract: 2 = -2k

divide both sides by -2: k = -1

simplifying is easy! we simply add or subtract like terms on each side.

6-4=2

1-3=-2 and then add k which is the variable so -2k

The equation would be 2=-2k and then we can divide both sides by -2 to isolate the variable to get -1=k

Answer:

The answer is D, or 354 3/8 ft^2

Answer:

x=11/3

Step-by-step explanation:

3/4x=11/4

3x= (11)(4)/4

3x=44/4

3x=11

x=11/3

To solve this system of equations, we have to cancel out a variable:

12x-4y+28=0

16y-110=48x

Reorder:

12x-4y=-28

-48x+16y=110

Multiply first equation by 4:

4(12x-4y=-28)

-48x+16y=110

=>

48x-16y=-112

-48x+16y=110

0x+0y=-2

0=-2

This can never be true, therefore there are NO SOLUTIONS

Answer:

No Solutions

Answer:

12

Step-by-step explanation:

We can use the pythagorean theorem giving us:

a^2+b^2=c^2

(6sqr2)^2 + (6sqr2)^2 = c^2

72+72=c^2

144=c^2

12=c