Graph the solution set to this inequality 3x -12 >_ 7x+4

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

8.8 m

Step-by-step explanation:

Area of triangle = 38.28 =  * b * 8.7b = 38.28 * 2 / 8.7b = 8.8 m

The total number of different signals consisting of flags is 216

Given data ,

The number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags can be calculated using combinatorial principles.

There are 3 choices for the top flag (white, red, or blue), 2 choices for the second flag (since we've already used one color for the top flag), and 1 choice for the third flag.

Similarly, there are 3 choices for the fourth flag, 2 choices for the fifth flag, and 1 choice for the sixth flag. Finally, there are 3 choices for the seventh flag, 2 choices for the eighth flag, and 1 choice for the ninth flag.

Using the multiplication principle, we can multiply the number of choices at each step to get the total number of different signals:

3 × 2 × 1 × 3 × 2 × 1 × 3 × 2 × 1 = 3! × 3! × 3!

where "!" represents the factorial operation, which is the product of all positive integers up to a given number.

So, the total number of different signals consisting of 9 flags that can be made using 3 white flags, 3 red flags, and 3 blue flags is:

3! × 3! × 3! = 6 × 6 × 6 = 216

Hence , the number of signals is 216

To learn more about combinations click :

https://brainly.com/question/28065038

#SPJ1

Step-by-step explanation:

The standard deviation formula may look confusing, but it will make sense after we break it down. ...

Step 1: Find the mean.

Step 2: For each data point, find the square of its distance to the mean.

Step 3: Sum the values from Step 2.

Step 4: Divide by the number of data points.

Step 5: Take the square root.

Answer:

Skateboarder B will have traveled 1,680 feet farther.

Step-by-step

Possible reasoning: There are 240 seconds in 4 minutes

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer:

It is 7 degrees.

Step-by-step explanation:

Hope this helps! Add -7 + 14= 7

Answer:

3:1

Step-by-step explanation:

75:25

(25×3):(25×1)

=3:1

( would love if you could mark me the brainliest :))

The ratio after simplify the provided ratio R, 75:25 cents, which is equivalent ratio of this ratio is 3:1.

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

When we simplify and write ratio of two number, we get the equivalent ratio of the original ratio.

The equivalent ratio is the ratio which is same in the value as the original ratio, but the numerator and denominator is different for both the ratios.

Here, the given ratio in the problem is 75:25 cents​. It can be written as,

\(R_5=\dfrac{75}{25}\\\)

As, the number 25 can divide the number 75 in three times. Thus, the ratio will become after simplifying the given ratio as,

\(R_5=\dfrac{3}{1}\\\)

Hence, the ratio after simplify the provided ratio R, 75:25 cents, which is equivalent ratio of this ratio is 3:1.

Learn more about the ratio of two numbers here;

https://brainly.com/question/831500

Answer:

64

Step-by-step explanation

48/36=4/3

36x4/3=48 so...

48x4/3=64

Answer:

64

Step-by-step explanation:

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

Read more about perpendicular sides

brainly.com/question/30717455

#SPJ1

The distance travelled by Elena while cycling to school is 1320.0 m

The distance travelled by Elena to school is equal to circumference of the wheel multiplied by the number of times

circumference of the wheel is calculated using the formula

circumference of the wheel = 2 * pi * r

substituting the values in to the formula

circumference of the wheel = 2 * 22/7 * 0.25

circumference of the wheel = 1.5714 m

distance travelled is calculated by the circumference of the wheel times number of times the wheel rotated

distance travelled = 1.5714 * 840

distance travelled = 1319.976

distance travelled = 1320.0 (Round to nearest tenth)

The distance travelled is 1320.0 m

Learn more about distance travelled at:

https://brainly.com/question/2854969

#SPJ1

P(more than 1 hour of TV | 6th period class) is  0.352.

Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.

P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed

12 / (12 + 9 + 5 + 8)

12 / 34 = 0.352

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer:

So, Simplified fraction of 8:6 is 4:3.

Answer:

When x = -2 in (x² + 4)/2, 4 is the result.

Step-by-step explanation:

(x² + 4)/2

Substitute value into varaible.

((-2)² + 4)/2

Square -2. Remeber that (-x)² = x²

(4 + 4)/2

Add 4 and 4.

8/2

Divide 8 by 2.

4

Answer:

A

Step-by-step explanation:

The answer is option (A) 8560. This combination cannot be the correct combination for your brother's lock because it contains the digit '6' in the same position as the correct combination (6348), but the other digits do not match.

The two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

The unit circle is rotationally symmetric, meaning that any angle of rotation on the unit circle will take a point to another point on the unit circle with the same distance from the origin. This means that if we rotate point A by 7π/6 radians, we can also rotate it by 19π/6 or 31π/6 radians and end up at the same point B.

The point A has polar coordinates (1, 0). This means that it is located at a distance of 1 unit from the origin and has an angle of 0 radians with the positive x-axis.

The point B has polar coordinates (√3/2, 1/2). This means that it is located at a distance of √3/2 units from the origin and has an angle of 7π/6 radians with the positive x-axis.

If we rotate point A by 19π/6 radians, we get a point with polar coordinates (√3/2, -1/2). This point is located at the same distance from the origin as point B and has the same angle with the positive x-axis.

Therefore, the two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

Learn more about angles on

https://brainly.com/question/25716982

#SPJ1

Answer:

4 or x=3

Step-by-step explanation:

The power rule is  

( d /d x )  x *n = n x *n − 1

I just used the power rule to solve

or

4x=5+7

Simplify  5+7  to  12

4x=12

Divide both sides by 4

x=12/4

Simplify 12/4 to 3

x=3

(Sorry if it wasn't what you were looking for)

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

The only true statement about the domain of the given function is:

B. f(x) is negative for all x < -5

The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).

Now, we are given the function as:

f(x) = \(\frac{2}{x^{2} } + 3x - 10\)

When x < -5, we have:

f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)

f(-4) = -21.875

This suggests that for all values below x = -5 will result in negative values

When x > 2

f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)

f(3) = -0.78

Thus, it will get positive for higher values but it can also be negative as seen here.

Read more about Domain of Function at: https://brainly.com/question/10197594

#SPJ1

Answer: the answer is -2 1/3

Step-by-step explanation: it would be -2 1/3 because 5 + 2=7 and then add the 1/3 to make -7 1/3

The number that makes the equation

\(\rm -5 +x = -7\dfrac{1}{3}\)     true is \(\rm \bold {-2\dfrac{1}{3} }\).

So option 4 is correct.

Let the number that makes equation true is x

The question is that what makes equation true

\(\rm -5 +x = -7\dfrac{1}{3}\)

This equation is a linear expression with one variable and rational numbers.

This equation can be solved in the following way

\(\rm -5 +x = -\dfrac{22}{3} \\x = 5 -\dfrac{22}{3} \\x = (15-22)/3 \\x = -7/3\\ x= -2\dfrac{1}{3}\)

So from the given options in figure  we can see that option 4 is correct

For more information please refer to the link given below

https://brainly.com/question/15815501

Answer:

14.1 cm

Step-by-step explanation:

Answer:

2 61/162

Step-by-step explanation:

Answer:25.3

Step-by-step explanation:

Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30

We are given the following two numbers to compare

Let us simplify them

So, we can compare them as

The quantity on the left side is greater than the quantity on the right side.

Answer and Step-by-step explanation:

The answer is D. z = x + 6

This is because the values for x, when plugged in for x, correlates to the values of y shown in the table.

#TeamTrees #PAW (Plant And Water)

Answer

x=41.856

Step-by-step explanation:

Sin(21 degree)=15/x

x=41.856

Answer:

a) f(1) = 3

b) f(-1) = -0.25

c) x = 0, 3

d) x = -0.75

e) domain   [-2, 4]

    range   [-1, 3]

Step-by-step explanation:

In this graph, f(x) is represented by the y-axis.

a) We can see that f(1) (the y-value when x = 1) is 3.

b) Looking at the graph, we can estimate f(-1) as about -0.25.

c) We need to find the x-values when the y-axis is at 1. We can see that there are two points at x = 0, 3.

d) Looking at the graph, we can estimate that f(x) = 0 around when x = -0.75.

e) The domain of a function is its set of x-values. We can see that f(x) spans from x = -2 to x = 4. That range in interval notation is: [-2, 4]

The range of a function is its set of y-values. We can see that f(x) spans from y = -1 to y = 3. That range in interval notation is: [-1, 3].

The cost of the car the Gilberts purchased before tax is  $13,820.52.

Tax is a compulsory amount that is levied on a good or service by the government. A sales tax is a tax that is levied on the purchase of a good and service. Taxes increase the cost of a good or service.

The equation that can be used to determine the cost of the car after tax is:

(1 + sales tax) x cost before tax = cost after tax

(1 + 0.05) x c = $14,512

1.05c = $14,512

In order to determine the value of c, divide both sides of the equation by 1.05:

c = $14,512 / 1.05

c = $13,820.52

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1