solve the inequality : 8<=2/3(3y-6)

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]

Cross Multiply the expression

[tex]\:20\times x=12\times 15[/tex]

Divide both sides by 20

[tex]\frac{20x }{20}=\frac{180}{20}[/tex]

[tex]x=9[/tex]

Therefore, the value of x = 9

Answer:

2.6 hours

Step-by-step explanation:

use distance formula:  d = r * t

                                     83 = 32t

                                     83/32 = t

                                       2.6 = t

2.6 hours is 2 hours, 36 minutes

Answer:

Option B

Step-by-step explanation:

Question 7

1). √14 + 6.2 < 3π - 8.2

   Since, 14 is the nearest whole square number to 16

   √14 ≈ √16 ≈ 4

   Similarly, π ≈  3.14 ≈ 3

   By substituting these approximate values in the inequality,

   4 + 6.2 < 3(3) - 8.2

   10.2 < 9 - 8.2

   10.2 < 0.8

   False.

2). [tex]\frac{17}{5}+\sqrt{64}>8+\pi[/tex]

   [tex]\frac{17}{5}+8>8+\pi[/tex]

   3.4 + 8 > 8 + 3.14

   11.4 > 11.14

   True.

3). 35 - √40 > 6π

    [Since, nearest whole square integer to 40 is 36 and π ≈ 3]

    35 - √36 > 6(3)

    35 - 6 > 18

    29 > 18

    True.

Therefore, Option B is the correct option.

Answer:

1

Step-by-step explanation:

because the is an invisible 1 in an letter

Answer:

13p and 4p+3

Step-by-step explanation:

Add similar elements: 12p+p=13p

Add/Subtract the numbers: 6-3=3

Answer:

First, get it into slope-intercept:

y = -3/5x + 4/5

The slope is -3/5

Step-by-step explanation:

Answer:

1. (1, -4) => G

2. (-4, 1) => A

3. (0, -2) => H

4. (3, 5) => D

5. (2, 0) => F

Step-by-step explanation:

1. (1, -4) => when x = 1, y = -4 at point G

2. (-4, 1) => when x = -4, y = 1 at point A

3. (0, -2) => when x = 0, y = -2 at point H

4. (3, 5) => when x = 3, y = 5 at point D

5. (2, 0) => when x = 2, y = 0 at point F

Answer:

Conclusion:

The rate of change of function 1  = 3

The rate of change of function 2 = 5/3

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

Step-by-step explanation:

Function 1)

Determining rate of change for function 1:

x        1         2         3         4

y       5        8          11        14

Finding the rate of change or slope using the formula

Rate of change = m = [y₂-y₁] / [x₂-x₁]

Taking any two points, let say (1, 5) and (2, 8)

Rate of change = m = [8-5] / [2-1]

                                 = 3/1

                                  = 3

Therefor, the rate of change of function 1 = m = 3

using point-slope form to determine the function equation

y-y₁ = m (x-x₁)

where m is the rate of change or slope

substititng m = 3 and the point (1, 5)

y - 5 = 3(x - 1)

y - 5 = 3x-3

y = 3x-3+5

y = 3x + 2

Thus, equation of function 1 will be:

y = 3x + 2

Determining Initial Value for Function 1:

substituting x = 0 in the equation to determine the initial value

y = 3(0)+2

y = 0+2

y = 2

Therefore, the initial Value of function 1 will be: y = 2

Function 2)

Determining the rate of change for function 2:

Given the function 2

[tex]y\:=\:\frac{5}{3}x+3[/tex]

comparing with the slope-intercept form of a linear function

y = mx+b     where m is the rate of change

so the rate of change of function 2 = m = 5/3

Determining Initial Value for Function 2:

substituting x = 0 in the equation to determine the initial value

[tex]y\:=\:\frac{5}{3}x+3[/tex]

[tex]y\:=\:\frac{5}{3}\left(0\right)+3[/tex]

[tex]y = 0+3[/tex]

[tex]y = 3[/tex]

Therefore, the initial Value of function 2 will be: y = 3

Conclusion:

The rate of change of function 1  = 3

The rate of change of function 2 = 5/3

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

Answer:

clue 1 with graph 3, Clue 2 with graph 4, clue three with graph 1, and clue 4 with graph 2

Step-by-step explanation:

Hope this helps :)

Answer:

y=11

Step-by-step explanation:

Im so 100 percent sure but thats mostly the right answer

Answer:

y = 11

Step-by-step explanation:

-38 = 7y + 17 - 12y

-38 = -5y + 17

-17            -17

-55 = -5y

divide both sides by -5

11 = y

or y = 11

Hope this helps!!!

Answer:

-5

Step-by-step explanation:

i just guessed so dont trip

Answer:

-5

Step-by-step explanation:

or -3-6+4

or-9+4

therefore -5

Answer:

x = 6

Step-by-step explanation:

Based on the two secants intersecting theorem, thus:

(x + 4)*4 = (3 + 5)*5

x*4 + 4*4 = (8)*5

4x + 16 = 40

4x + 16 - 16 = 40 - 16 (subtraction property of equality)

4x = 24

4x/4 = 24/4 (Division property of equality)

x = 6

Answer:

1 2/21

Step-by-step explanation:

3/7+2/3.

Cross mutiply:

7*3 is 21.

3*3 is 9.

7*2 is 14.

14/21+9/21.

Add: 14+9=23.

23/21.

1 2/21.

Hope this helps plz hit the crown :D

Answer:

-46

Step-by-step explanation:

-9-7-8-15-6-1 equals -46

Answer:

Step-by-step explanation:

Note: y = 10 when x = 5 is already given, must be find x for y = 5.

y = k/x is the formula, using the given values finding the constant:

So for y=5 we have:

Answer:

138

Step-by-step explanation:

Thats the answer bcus yea

Answer:

you can't rickroll be with 69

Step-by-step explanation:

but it is 138

Answer:

B and C

Step-by-step explanation:

i just did this give me brainliest

9514 1404 393

Answer:

  208

Step-by-step explanation:

The order of operations requires that the multiplication be done before addition or subtraction.

  40 + 40 - 20×0 + 3 + 125

  = 40 + 40 - 0 + 3 + 125

  = 80 - 0 + 3 + 125

  = 80 + 3 + 125

  = 83 + 125

  = 208

__

The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)

Answer:

208

40 plus 40 minus 20 times 0 plus 125 in written form:

40 + 40 - 20 × 0 + 3 + 125

In order to get our answer 208, we must do it step by step:

First, we need to put 40 plus 40 into an equation:

40 + 40 = 80

Now that we have 80, we need to find 20 times 0:

20 x 0 = 0

Since 20 times 0 equals 0, we can now add 80 plus 3:

80 + 3 = 83

Now what we have left is to add 83 plus 125 which will give us our answer:

83 + 125 = 208!

The answer will be 208.

            Hope this helps!

     ~Hocus Pocus

Answer:

[tex]x=30°[/tex]

Step-by-step explanation:

[tex]Area=\frac{18*20sinx}{2} \\ \Leftrightarrow 90=\frac{18*20sinx}{2} \\ \Leftrightarrow sinx=\frac{90*2}{18*20}=\frac{1}{2}\\ \Leftrightarrow x=30°[/tex]

Answer:

x = 8 and y = 4

Step-by-step explanation:

I hope it helped you:)

Mark me as brainliest please!:(

Answer:

C

Step-by-step explanation:

Expand the factors and compare the coefficients of like terms.

Given

(mx + 2)(3x - 5) ← expand using FOIL

= 3mx² - 5mx + 6x - 10

Compare to 12x² - 14x - 10

For the 2 to be equal, then the coefficients of like terms must be equal.

Compare coefficients of x² terms

3m = 12 ( divide both sides by 3 )

m = 4 → C

Answer: 6.50x + 3.50 < 23

Step-by-step explanation:

I believe this is correct because the total of the one-time fee and the money per game she played, should be less than $23

Answer:

she can only afford to play 3 games

Step-by-step explanation:

3.50+6.50=10.00

23.00-10.00=13.00

13.00-6.50=7.50

7.50-6.50=1.00

Answer:

w=54

Step-by-step explanation:

Answer:

W = 54

Step-by-step explanation:

Angles on a straight line add up to 180

180 - 126 = 54

Answer:

B

Step-by-step explanation:

Answer: Choice C) 1/4

===================================================

Work Shown:

Let's rearrange terms a bit to say the following:

[tex]y = 9\cos\left(\frac{\theta}{4}+\frac{3\pi}{2}\right)+4\\\\y = 9\cos\left(\frac{1}{4}\theta+\frac{3\pi}{2}\right)+4\\\\y = 9\cos\left(\frac{1}{4}\left(\theta+6\pi\right)\right)+4\\\\y = 9\cos\left(\frac{1}{4}\left(\theta-(-6\pi)\right)\right)+4\\\\[/tex]

The last equation is in the form [tex]y = A\cos\left(B\left(\theta-C\right)\right)+D\\\\[/tex]

where,

We only need to worry about the value of B.

In this case, B = 1/4

So,

[tex]T = \frac{2\pi}{B}\\\\T = 2\pi \div B\\\\T = 2\pi \div \frac{1}{4}\\\\T = 2\pi \times \frac{4}{1}\\\\T = 8\pi\\\\[/tex]

The period is 8pi. Every 8pi units, a full cycle is completed.

However, we're not going from 0 to 8pi, but instead from 0 to 2pi.

The given interval is 2pi units wide. This is (2pi)/(8pi) = 1/4 of a full cycle. This is why choice C is the answer.

Answer:

Option "3" is correct

Step-by-step explanation:

Given:

equation -3r + 5 = 28

Explanation:

Assume;

Given number = r

The product of negative three and a number

⇒ -3(r)

Plus five equals twenty-eight

⇒ -3r + 5 = 28

So,

Option "3" is correct .