2(x-1) ≥ 10 or 3-4x > 15
Solve the compound inequality, and show work!

Answer:

hey look up it up it's  better

Step-by-step explanation:

Given:

[tex]\sin (x)=-\dfrac{1}{2}[/tex]

[tex]\cos (y)=-\dfrac{1}{3}[/tex]

x is an angle in quadrant III, and y is an angle in quadrant II.

To find:

The value of sin(x+y).

Solution:

We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.

x is an angle in quadrant III,

[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]

[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]

[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]

[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]

[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]

y is an angle in quadrant II.

[tex]\sin y=\sqrt{1-\cos^2x}[/tex]

[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]

[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]

[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]

Now,

[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]

[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]

[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]

[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]

Therefore, the correct option is B.

Answer:

Choice B

Step-by-step explanation:

Answer:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

\

Step-by-step explanation:

Answer:

1) 1[tex]\frac{1}{8}[/tex]

2) 2[tex]\frac{5}{7}[/tex]

3) 1[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

Step-by-step explanation:

4 7/8 + __ = 6

__ = 6 - 4 7/8

__ = 1 1/8

3 2/7 + __ = 6

__ = 6 - 3 2/7

__ = 2 5/7

3 1/9 + __ = 5

__ = 5 - 3 1/9

__ = 1 8/9

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:-1

Step-by-step explanation:

I got it wrong and it said that that is the right answer

Answer:

m=24

Step-by-step explanation:

First, we can combine like terms:

m/(5-2)=8

m/3=8

Now, we need to get m by itself. To do this, multiply by 3:

m/3*3=8*3

m=24

50

50 ÷ 5 = 10, 10-2 =8

kdjrjrjdjjfhrhy to truth thhrjrhejd

Answer:

[tex] \rm x = - 7 \pm \sqrt{11} [/tex]

Step-by-step explanation:

Solve for x over the real numbers:

[tex] \longrightarrow [/tex] x² + 14x + 38 = 0

Subtract 38 from both sides:

[tex] \longrightarrow [/tex] x² + 14x + 38 - 38 = 0 - 38

[tex] \longrightarrow [/tex] x² + 14x = -38

Add 49 to both sides:

[tex] \longrightarrow [/tex] x² + 14x + 49 = 49 - 38

[tex] \longrightarrow [/tex] x² + 14x + 49 = 11

Write the left hand side as a square:

[tex] \longrightarrow [/tex] x² + 7x + 7x + 49 = 11

[tex] \longrightarrow [/tex] x(x + 7) + 7(x + 7) = 11

[tex] \longrightarrow [/tex] (x + 7)(x + 7) = 11

[tex] \longrightarrow [/tex] (x + 7)² = 11

Take the square root of both sides:

[tex] \longrightarrow [/tex] [tex] \sf \sqrt{{(x + 7)}^{2}} = \pm \sqrt{11} [/tex]

[tex] \longrightarrow [/tex] [tex] \sf x + 7 = \pm \sqrt{11} [/tex]

Subtract 7 from both sides:

[tex] \longrightarrow [/tex] [tex] \sf x = - 7 \pm \sqrt{11} [/tex]

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

[tex]T(4,5)[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]

[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]

Required

Determine the coordinates of T

The coordinates of T can be represented as [tex]T(x,y)[/tex]

To do this, we simply solve for x and y

[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]

Solve 6 - 2

[tex]x = \frac{1}{2}*4 + 2[/tex]

Solve 1/2 * 4

[tex]x = 2 + 2[/tex]

[tex]x = 4[/tex]

[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]

Solve 4 - 6

[tex]y = \frac{1}{2}*-2 + 6[/tex]

Solve 1/2 * -2

[tex]y = -1 + 6[/tex]

[tex]y = 5[/tex]

Hence, the coordinates of T(x,y) is:

[tex]T(x,y) = T(4,5)[/tex]

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x+4=10x-11

4=3x-11

15=3x

x=5

Answer:

Its D.

Step-by-step explanation:

Give him brainliest he deserves it

Answer:

Below.

Step-by-step explanation:

(a)  There 8 possible outcomes.

HHH TTT HHT HTH THH TTH THT HTT

(b) Prob(No Heads)

= Prob(TTT)

= 1/8.

(c) Possible outcomes of at least 2 tails are:

TTT, TTH THT HTT = 4

So Probability of this  is 4/8 = 1/2.

Answer:

200

Step-by-step explanation:

1/4 would be 25 percent and 50 times 4 would be 200

Step-by-step explanation:

Area of a triangle= 1/2breadth × height

Answer:

8

one fourth

2

4

Step-by-step explanation:

hope with helped ^^

Answer:

Part B is Both batches have 2 more quarts of pineapple juice than sparkling water. The ratio of quarts of pineapple juice to quarts of fruity drink for the first batch is 3 to 5 or 3:5 or 3/5. The ratio for the second batch is 5 to 8 or 5:8 or 5/8. The second batch has a greater ratio of quarts of pineapple juice to quarts of fruity drink.

Answer:

Are you 1 grade or what......

Answer:

6x^2 + 10x

Step-by-step explanation:

2x(3x + 5) = 2x * 3x + 2x * 5

= 6x^2 + 10x

[tex] {x}^{3} - {x}^{2} + x - 1 + \frac{2}{x + 1} [/tex]

lmk if u want an explanation for this I can try type it out

Answer:

[tex]x^3-x^2+x-1+\frac{2}{x+1}[/tex]

Step-by-step explanation:

See the picture attached.

Notice how I set up [tex]x^4+1[/tex] as [tex]x^4+0x^3+0x^2+0x+1[/tex], as it makes it easier to solve.

Also, notice that the 2 as the remainder doesn't have anything else to divide to, so that means there will be an extra term [tex]\frac{2}{x+1}[/tex] in the end of the answer.

Answer:

Median

Step-by-step explanation:

In FGH, K is the midpoint of GH.

Therefore, FK is the median segment.

Answer:

P(Pair of dice greater than 7) = 5/12

Step-by-step explanation:

When rolling a pair of dice, there are 36 combinations for the rolls.

(1,1), (1,2), (1,3), .... (2,1), (2,2), .... (6,1), ... (6,6)

Of those, there are 15 where the total is greater than 7.

15/36 = 5/12

#1 #2 Sum > 7

1 1 2 FALSE

1 2 3 FALSE

1 3 4 FALSE

1 4 5 FALSE

1 5 6 FALSE

1 6 7 FALSE

2 1 3 FALSE

2 2 4 FALSE

2 3 5 FALSE

2 4 6 FALSE

2 5 7 FALSE

2 6 8 TRUE

3 1 4 FALSE

3 2 5 FALSE

3 3 6 FALSE

3 4 7 FALSE

3 5 8 TRUE

3 6 9 TRUE

4 1 5 FALSE

4 2 6 FALSE

4 3 7 FALSE

4 4 8 TRUE

4 5 9 TRUE

4 6 10 TRUE

5 1 6 FALSE

5 2 7 FALSE

5 3 8 TRUE

5 4 9 TRUE

5 5 10 TRUE

5 6 11 TRUE

6 1 7 FALSE

6 2 8 TRUE

6 3 9 TRUE

6 4 10 TRUE

6 5 11 TRUE

6 6 12 TRUE

Answer:

5/12

Step-by-step explanation:

I can’t really explain it. I did the same problew though.

the percentage is 75%

because 90 divided by 120 is 0.75.

Answer:

x= -1

Step-by-step explanation:

First, distribute the -3 through the parentheses

4x-8= -3(2x+6)

= 4x-8= -6x-18

Second, move the variable to the left-hand side and change its sign

4x+6x= -18+8

10x= -10

Divide both sides by 10

x=-1

Answer:

x=-7

Step-by-step explanation:

first u wanna multiply (2x+6) which equals 12 the what u wanna do is move the constant to the right which is 4x-8=-36. Then calculate 4x=-36+8. then after that then u should end up with 4x=-28 then u divide it then u end up with ×=-7

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the  number of people under the survey is 3000

and also that 2100 people would like to buy again, these 2100 people represent the number of people who are satisfied with the type of car.

Step two:

Therefore the percentage of this number related to the total people under the survey is given below

=2100/3000*100

=21//30*100

=7/10*100

=7*10

=70%

Hence 70% of the people surveyed are satisfied with the type of car

Answer:

5

Step-by-step explanation:

within the brackets do the parentheses (14-12)=2

according to PEMDAS, multiply first 2x3 to get 6

then add 3

you end up with 9 in the brackets so now all that’s left is 45/9 which is 5

Answer:

y=0x+1

Step-by-step explanation:

Hope this helps!(^-^)

Answer: either -4,1 (+) 6 or 2,1 (-) 6

Step-by-step explanation:

Answer:

a) 15

b) 97/2

Step-by-step explanation:

a) f(g(6))

  g(6) = 6

   2(6)+3

    12 + 3

      15

b) gf(x) = 10

    2x+3

    2x+3 = 100

    2x = 97

     x = 97/2

Answer:

x = 6

Step-by-step explanation:

Answer:no hbu cutie?

Step-by-step explanation:

I do lol- can u help me

3.4–2.8d+2.8d-1.3=?

Answer: The Answer is 64

Step-by-step explanation: there  isnt  much really to it

Answer:

The answer is 64

Step-by-step explanation:

If you need me to explain my answer let me know.

Answer:

A is the answer

Step-by-step explanation: Edge 2020