-3x+6>12

need help with this one number line

Answer:

20

Step-by-step explanation:

The water tank in the school hold 20 liters of water

One day it was 34 liters full

14 liters of water was used up

Therefore the quantity of water left can be calculated as follows

= 34-14

= 20

Hence 20 liters of water remains in the tank

Answer:

[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]

             [tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

We have,

To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:

(a + b)³ = a³ + 3a²b + 3ab² + b³

In this case,

a = 3x and b = -1.

Substituting these values into the formula, we get:

[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]

Simplifying further:

(3x - 1)³ = 27x³ - 9x³ + 9x - 1

Therefore,

The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.

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Answer:

just function A

A is, for every 2x (2 steps) the value of y increased linearly by 2.5

B isn't, for every 10x (10 steps), the increase of y varies

Answer:

Triangle 2

Step-by-step explanation:

That is Pythagorean Theorem, which is only for right triangles. The second triangle has the little square, so you know it is 90 degrees.

Answer:

Rs 1,437.5

Step-by-step explanation:

VAT = 15% = 15/100 × Rs 1250 = Rs 187.5

the price inclusive of VAT = Rs 1,250 + Rs 187.5

= Rs 1,437.5

Remember

Here

there is no starting or ending point

so domain is

(-oo,oo)

The domain of the absolute value function given is (-∞, +∞).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Domain of a function is the set of all the input values and the range of the function is the set of all the output values.

Given is an absolute value function.

Absolute value functions are functions which has the absolute value symbols in the expression.

From the graph, we can see that the value of x moves from negative infinity to infinity.

Domain of the function is the set of input values which is the set of values of x.

So the domain is (-∞, +∞).

Hence the domain is (-∞, +∞).

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Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

Answer:

The Pythagorean identity [tex]\sin^2\theta+\cos^2\theta=1[/tex] comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle [tex]\theta[/tex], we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.

The Pythagorean theorem states that in all right triangles, the following must be true:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle.

Therefore, we have the following equation:

[tex](\sin\theta)^2+(\cos\theta)^2=1^2,\\\boxed{\sin^2\theta+\cos^2\theta=1}[/tex]

The Pythagorean identity  comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle , we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.

The Pythagorean theorem states that in all right triangles, the following must be true:

, where  is the hypotenuse of the triangle and  and  are two legs of the triangle.

Therefore, we have the following equation:

Answer:

t = (t₁ · vr)/ (vj - vr) = 45 seconds

Step-by-step explanation:

Given:

Initial time from Ricardo  t₁ = 15 seconds, Ricardo's velocity (speed) vr = 3 ft/s,

John's velocity (speed) vj = 4 ft/s

Requested time when John catch Ricardo t = ?

During 15 seconds, Ricardo moved away

S = vr · t₁ = 3 ft/s · 15 s = 45 feet.

From that moment, the same time runs for both of them

Ricardo's path is S₁ = vr · t  and John's path is S₂ = vj · t

S + S₁ = S₂ =>  S = S₂ - S₁  => 45 = vj · t - vr · t  

When we draw t we get:

t ( vj - vr) = 45   t = 45 / (vj - vr) = 45 / (4 - 3) = 45 / 1 = 45 seconds

t = 45 seconds

S₁ = vr · t = 3 · 45 = 135 ft

S₂ = vj · t = 4 · 45 = 180 ft

Answer:

Quadrant I and quadrant IV

Step-by-step explanation:

Given that cos x< 0

x < arccos 0

x < 90degres

Since cos s positive in the first and 4th quadrant, hence the angle lies in the Quadrant I and quadrant IV

Answer:

Make me Brainliest

Step-by-step explanation:

=5*65-7

=325-7

=318

Answer:

she will need to work for 55 hours to buy the phone

Step-by-step explanation:

680 - 240 = 440

that's how much more she needs

449 ÷ 8 = 55

and that's the answer

55

hope that helped

Answer:

55 hours

Step-by-step explanation:

Well first we need to set up the equation

We know she needs 680$ to buy the phone so the equation must be equal to 240

She has 240 and earns 8 dollars per hr so were finding out how many hours of work is needed to be able to buy the phone

Represent the number of hours worked by "x"

Set the equation up as

240 + 8x = 680

Add -240 to both sides of the equation to make 240 be 0 and 680 be 440

8x = 440

divide both sides of equation by 8 to get what x equals

x=55

She needs to work 55 hours

Answer:

Step-by-step explanation:

Umm I believe it would be 7189939

Answer:

4.8 is the answer!

Step-by-step explanation:

0.6 x 8 = 4.8

6 x 8 = 48

multiply 6 by 8, and move the decimal to the left one time, and get 4.8

Answer: 4.8

Step-by-step explanation: multiply 6*8 (which is 48) then move the decimal point one forward from the back

48.0 (this is before you move the point)

4.8 (this is after)

basically depending on how much numbers you have after the decimal point, that's how much you move forward!

Let me know if you have more questions!

Good luck!

Answer:decrease by 12 feet

Step-by-step explanation:I did the math

A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, the new area will be decreased by 12.

The area of a rectangle is the product of its length and width.

If a rectangle has a length L units and a width of W units, then

Area = L × W squared units.

A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area.

Area = L × W

Let the length and width are x and y

27 = x × y

xy = 27

The new area if its length and width are changed to 2/3 of their original size

Area = L × W

[tex]27 \times 2/3 \times 2/3\\\\= 3 \times 4\\\\= 12[/tex]

Therefore, the new area will be decreased by 12.

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Answer:

x around 53.7

Step-by-step explanation:

We use cosine^-1 to solve for x

In the calculator put in cos^-1 (16/27)

Answer:

83.05

Step-by-step explanation:

The two measures of the center are 82.5 and 83.6

The value of the median can be calculated a follows

= 82.5 + 83.6/2

= 166.1/2

= 83.05

Hence the value of the media is 83.05

Answer:

51

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 54 and the smallest number is 3

54-3 = 51

Answer:

32

Step-by-step explanation:

Given

m<P = 4x+12

m<Q = 2x-24

If the sum of P and Q is 180, then;

4x+ 12 + 2x - 24 = 180

4x+2x+12-24 = 180

6x - 12 = 180

6x = 180+12

6x = 192

x = 192/6

x = 32

Hence the value of x is 32

The Rule for reflection over the y-axis is given by (x,y) to (-x,y).

so, J' (-10,-8)

✐----------------------

hope it helps...

have a great day!

Answer:

J' Coordinates = (-5, -8)

Step-by-step explanation:

We know that in the coordinate point J (5, -8);

x-value = 5

y-value = -8

In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;

x-value = -5

y-value = -8

J' Coordinates = (-5, -8)

Hope this helps!

The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability that the Yankees will win a game P(win) = 0.6

The probability that the Yankees will score 5 or more runs in a game is:

P(s>5) = 0.57

The probability that the Yankees lose and score fewer than 5 runs is:

P(s<5) = 0.34

To find the probability that the Yankees would score fewer than 5 runs when they win the game:

This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:

= P(win)×P(s<5)

= 0.6×0.34

= 0.204

Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6

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Answer:

here u go

Step-by-step explanation:

and here is 8 and 9

Answer:

y= −3/4x + 1

x= -4/3y + 4/3

Step-by-step explanation:

Let's solve for y.

3x+4y=4

Step 1: Add -3x to both sides.

3x+4y+−3x=4+−3x

4y=−3x+4

Step 2: Divide both sides by 4.

4y4=−3x+44

y=−34x+1

___________

Let's solve for x.

3x+4y=4

Step 1: Add -4y to both sides.

3x+4y+−4y=4+−4y

3x=−4y+4

Step 2: Divide both sides by 3.

3x3=−4y+43

x= -4/3y + 4/3

math papa algebra caculator, thank me later

Answer:

Sailing end at 3:15 AM

Step-by-step explanation:

Connor did archery and sailing before dinner (in that order).

He started at 12:00 PM

We know that:

In archery, Connor spent 1 hour and 15 minutes

In sailing, Connor spent 2 hours.

The total time spent is:

1 hour + 15 minutes + 2 hours

3 hours + 15 minutes.

Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:

3:15 AM

Sailing end at 3:15 AM

Answer:

43.9823

Step-by-step explanation:

[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]