Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25?

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.

Answer:

-10ab

Step-by-step explanation:

(2a)(-5b)

Multiply the constants

2* -5 = -10

Multiply the variables

a*b = ab

Combine

-10ab

The expression -10ab represents the product of 2a and -5b

To simplify the expression (2a)(-5b), we can multiply the coefficients and combine the variables.

Multiplying the coefficients, 2 and -5, gives us -10.

For the variables, we multiply the like terms, which in this case are 'a' and 'b'. When we multiply 'a' and 'b', we simply write them side by side: ab.

Therefore, simplifying (2a)(-5b) results in -10ab.

The expression -10ab represents the product of 2a and -5b, combining the coefficients and variables into a single term. It is important to note that the order of the variables, 'a' and 'b', is maintained in the simplified form.

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Answer:

4

Step-by-step explanation:

You would complete the square by dividing the b value by 2, and then squaring it. In this case, the b value is -4. You would divide -4 by 2 and get -2. Now, you would square -2, and you would get 4.

Answer:

28/15

Step-by-step explanation:

17/5 x 2/3 28/15

Answer:

The answer is 34/15

Step-by-step explanation:

If you don't know how to change mixed numbers you multiple the denominator and the number on the outside. After you get the answer you add the numerator to the sum.

Answer:

i think the answer if (-9,-3)

Step-by-step explanation:

Tell me if i got it right so i can see where i made a mistake IF i got it wrong

Answer: x=-2

Step-by-step explanation:  First we can multiply 4 times anything in the parantheses to get rid of it.

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

(2x-6)+4x-12

Then we combine like terms.

(2x-6)+4x-12

6x-6-12

6x-18

Finally we divide both sides 6.

6x-18

6x/6-18/6

x=-2

The final answer is x=-2

Hope this helps!

Btw this is a backup account

Answer:

6x - 18

Step-by-step explanation:

Distribute:  2x − 6 + 4x − 12

Group Common Factors: 2x + 4x - 6 -12

Solve: 6x - 18

I hope this helped, please mark Brainliest, thank you!

Answer:

these are fromeast to greatest

9^10

9^5

1^3/4

1^3/20

Answer

Least #3 - #2 - #4 - #1 Greatest

Step-by-step explanation:

Answer:

34.16 Miles Traveled

Step-by-step explanation:

If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!

Answer:

∴x=-11.5625

Step-by-step explanation:

110 = -8 (2x+9 ) -3

110 = -16x - 72 -3

185 = -16x

∴x=-11.5625

Answer: Why did you type on my answer "Thanks for the points".

Step-by-step explanation:

Answer:

x=10+(2/6)

Step-by-step explanation:

Hope this helped!

Answer:

10 + 2/6

Step-by-step explanation:

A quotient is the answer to a division problem.

A sum refers to addition.

Would appreciate Brainlitest!

Answer:

x=2, And i think the 2nd one is reflexive

Step-by-step explanation:

9514 1404 393

Answer:

  [tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]

Step-by-step explanation:

If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...

  y = √3(1 -x)

and the terminal side of the angle α can be described by ...

  y = tan(α)·x

We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.

  y = √3(1 -y/tan(α)) . . . . substituting for x

  y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y

Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...

  A(α) = (√3/2)tan(α)/(√3 +tan(α))

Further manipulation can put this in the form ...

  A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2

__

For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...

  A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2

__

The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...

  [tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]

_____

The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°

Answer:

2,736

Step-by-step explanation:

Answer:

ITS THE SECOND ONE

Step-by-step explanation:

Answer:

uhhhhh Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 7/4. Two other ways of writing the ratio are 7 to 4, and 7:4.

Step-by-step explanation:

just math

Answer:

Yes because it doesn´t matter how you write a ratio

Step-by-step explanation:

Because it doesn´t matter how you write a ratio

Answer:

Most kinetic energy on the top

Answer:

24xy+2y−234x​2fromy+14x

Step-by-step explanation:

24xy−10y−(18×13)xxfromy+12y+14x

24xy−10y−234xxfromy+12y+14x

24xy−10y−234x​2fromy+12y+14x

24xy+(−10y+12y)−234x​2fromy+14x

140 miles / 4 gallons = 35 miles per gallon.

35 x 5 = 175 miles

Answer:

The car would be able to drive 175 miles with 5 gallons of gas.

Step-by-step explanation:

Every gallon of gas would give you 35 miles of distance.

To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.  

Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.

For every 35 miles, I gallon of gas is used.

Hope this helps.

Answer:

1 :)

Step-by-step explanation:

8 x 7=56

7 x 1=7

Answer:

what help would i do

Step-by-step explanation:

Answer:

All equal 11

AC=11

BD=11

EC=11

Step-by-step explanation:

The shape is a square and all sides of a square have the same length. The marks ‘II’ means that they are all parallel.

Answer:

35.75%

Step-by-step explanation:

Given that:

Markdown % = 45%

Additional percentage off = 35%

45% markdown :

100% - 45% = 55% of item price will be paid.

Furthermore,

35% additional discount :

100% - 35% = 65% of item price will be paid

Hence, percentage of original price paid:

(55% * 65%) = 0.3575

= 35.75% of the original price is paid

Answer:

ADEF

Step-by-step explanation:

Four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

Given that ΔABC

∠A = 60° and ∠B = 90° which is given in the figure

⇒ sin 60° = perpendiculer /hypotenuse

⇒ √3/2 = BC/10

⇒ BC = √3/2 × 10

⇒ BC = 5√3

⇒ tan 60° = perpendiculer /base

⇒ √3 =  5√3/AB

⇒ AB = 5√3/√3

⇒ AB = 5

⇒ sin 60° = 5√3/10 = √3/2

⇒ cos 60° = base / hypotenuse

⇒ cos 60° = 5/10 = 1/2

⇒ tan 60° = perpendiculer /base

⇒ tan 60° = 5√3/5 = √3

⇒ cot 60° = 1 /√3

Hence, four of the six equations that Justin wrote are correct which are Trigonometric functions as sin 60° =√3/2, cos 60° = 1/2, tan 60° = √3, and cot 60° = 1 /√3.

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Answer:

C

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 3 and r = 2 , thus

a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C

Answer:

[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]

[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]

Step-by-step explanation:

We need to note a few basic rules about focuses and directrix’s of a parabola.

1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry

2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola

3. The directrix is always the same distance away from the vertex as the focus

If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)

These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!

The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.

Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.

So our vertex is at [tex](-3, 2)[/tex].

We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]

In conclusion

Hope this helped!

Answer:

the answer is 1.0 if u use sin to solve it, thus, u would get 0.9 of which if u round it u will get the answer above

Answer: and Step-by-step explanation:

sin(61) = x/55

55(sin(61)) = x

48.1 = x

Hope this helps!

Answer:

72

Step-by-step explanation:

8 times 3 = 24

12 divided by 4 = 3

24 times 3 = 72

Answer:

3.74

Step-by-step explanation:

Count, N: 4

Sum, Σx: 32

Mean, μ: 8

Variance, σ2:  14

Hope this helped!

Answer:

D

Step-by-step explanation:

To get from A to B you must divide by x on each side, therefore dividing by the same variable expression