which is true when x-3<2

Answer:

radius=6.65cm

Step-by-step explanation:

circumference=41.78cm

2×22\7×r=41.78cm

r=41.78×7\44

r=6.65cm

Answer:

Most you can do is factor out the x and turn it into   x (3x + 7)

roots would be x = 0 and x = -7/3

Answer:  x(3x+7)

Step-by-step explanation:

You would factor the x out of both of your values and put on the outside of the parenthesis. And you put the two numbers that you have left inside of the parenthesis. And that is as far down as this function can be factored.

Answer:

Step-by-step explanation:

-5x * (-6) = 30

30x = 30

x = 30/30

x = 1

The rate of change of the linear function A is 2, and the one of function B is 4, then the correct option is D.

A general linear function is written as:

y = a*x + b

Where a is the rate of change and b is the y-intercept.

In this case, we know that function A is:

y = 2x + 1

Then the rate of change is 2, and the y-intecept is 1.

We also know that if a line passes through two points (x₁, y₁) and (x₂, y₂), then the rate of change of that line is given by the formula:

a = (y₂ - y₁)/(x₂ - x₁)

In the case of function B we have the table:

x: 1   3  4  6

y: 3   11  15  23

We can use any two points on the table, if we use the first two ones:

(1, 3) and (3, 11) we will get:

a = (11 - 3)/(3 - 1) = 8/2 = 4

The rate of change of function B is 4, then the correct statement is the one in option D.

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Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

Answer:

\(3(3 - 4x + 2y)\)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

\(gcf = 3\)

Factor out the GCF.

\(3( \frac{9}{3} + \frac{ - 12x}{3} + \frac{6y}{3} )\)

Simplify each term in parentheses.

\(3(3 - 4x + 2y)\)

Using the absolute value function, we have that:

21. Options c and f are true.

22. The range is between 47% and 57%.

The absolute function is defined by:

It measures the distance of a point x to the origin, hence for example |2| = |-2| = 2.

For item 21, the inequality is:

2|4x - 2| - 3 > 33.

2|4x - 2| > 36

|4x - 2| > 18

Which means that 4x - 2 is either less than -18 or more than 18, hence:

4x - 2 < -18

4x < -16

x < -4

4x - 2 > 18

4x > 20

x > 5

Hence option c and f are true for item 21.

For item 22, we have that the difference between the percentage and 52% is of at most 5%, hence the absolute value equation is:

|x - 22| = 5.

Hence the minimum and maximum values are found as follows:

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Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Hi sorry help this helped

Answer:

50

Step-by-step explanation:

This is because if each DVD costs $9 and the total cost was $450 then all you have to do is divide the numbers.

Answer:

1.67square foot/hr

Step-by-step explanation:

If a fertilizer covers 5/6 square foot in 1/2 hour, then;

5/6 square foot  = 1/2 hour

To determine the unit rate, we will say;

x square foot = 1 hr

Divide both expressions

5/6x = 1/2

5 * 2 = 6x

10 = 6x

x = 10/6

x = 1.67square foot/hr

Hence the unit rate is 1.67square foot/hr

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Area of the parallelogram attached in the figure is solve to be

The area of parallelogram is solved using the formula

= base x height

From the problem it can be deduced that

base = 12 cm - 2 cm = 10 cm

height = 4 cm

Area of the parallelogram = 10 * 4

Area of the parallelogram = 40 square cm

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Answer:

if you are supposed to choose a graph, the answer is 3.

Step-by-step explanation:

Harry starts with 14 problems, which means the y-intercept of the graph is 14.

SOLUTION:

We are to find the maximum height reached by the ball;

CONCLUSION:

The maximum height the ball reached was 149 feet.

Answer:

jaiana jsijejeren8sninsun9nsuns

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

An equation in standard form is written as y = 80x - 40

Let the cost of books Ahmad bought be represented by m

let the flat cost by c (c reduction at the fair)

Information given in the question is interperted as

ahmad bought 2 books for 120 at a book fair

2m + c = 120

Another time he bought 4 books for 280

4m + c = 480

The required equation leads to 2 simultaneous equation with 2 unknown

2m + c = 120

4x + c = 480

solving the 2 equations gives

m = 80 and y = -40

representing the equation as 1 we have

y = mx + c

Definition of variables to suit the problem to be solved

y = Total cost

m = cost per book

x = number of books

c = flat cost

writing the equation

y = 80x - 40

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Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Answer:

is this full question

Step-by-step explanation:

there is no line segment or triangle

Answer:

yes, no, yes, yes

Step-by-step explanation:

A=.87

B=.15

C=.87

D=.87

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Number of car sold are 98.

Number of trucks sold are 66.

Given,

Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .

Let number of cars sold are x.

Let number of cars sold of y .

Now,

For dealership 1 equation will be,

x + y = 164  ......(1)

For dealership 2 equation will be,

As the cars are sold twice and trucks are sold half .

2x + y/2 = 229......(2)

Solving 1 and 2,

y = 66

x = 98

Thus number of car sold are 98.

Thus number of trucks sold are 66.

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Answer:

49.85% of ITBS scores are between 3 and 12

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 12

Standard deviation = 3

The normal distribution is symmetric, which means that 50% of the scores are below the mean and 50% are below.

What percent of ITBS scores are between 3 and 12

12 is the mean

3 = 12 - 3*3

3 is three standard deviations below the mean.

By the Empirical Rule, of the 50% of the measures which are below the mean(below 12), 99.7% are within 3 standard deviations of the mean, that is, above 3.

So

p = 0.5*0.997 = 0.4985

49.85% of ITBS scores are between 3 and 12

Answer:

  220

Step-by-step explanation:

You want to use differences to find the pattern and the next term in the sequence 3, 8, 15, 28, 51, 88, 143.

Subtracting each term from the next, we find the sequence of first differences to be ...

  5, 7, 13, 23, 37, 55

The first differences are not constant, so we know the sequence is not linear. They are not in an arithmetic progression, so we know the sequence is not quadratic. They do not have a common ratio, so we know the sequence is not exponential.

The second differences are the differences of the sequence of first differences. They are ...

  2, 6, 10, 14, 18

The differences of the terms of the 2nd-difference sequence are constant: 4.

  4, 4, 4, 4, 4

Constant 3rd differences mean the original sequence can be described by a 3rd degree polynomial. The coefficients found by a calculator are shown in the attachment.

Since we know the third differences are constant, we can work our way back up the chain of differences to find the next term of the original sequence.

  next 2nd difference = 18 +4 = 22

  next 1st difference = 55 +22 = 77

  next sequence term = 143 +77 = 220

The eighth term should be 220.

__

Additional comment

The n-th term is ...

  f(n) = 2/3n^3 -3n^2 +28/3n -4

Answer:

7x4=28 there

Step-by-step explanation:

Answer:

product is the result of multiplication or an expression that identifies factors to be multiplied..

The product of the given expression (7x²)(2x³ + 5)(x² - 4x - 9) is,

\(14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2\)

The product between expressions can be defined as the outcome or result obtained by multiplying two or more numbers, terms, or quantities together. It represents the combined value or the total when multiple factors are multiplied.

The given expression is,

(7x²)(2x³ + 5)(x² - 4x - 9)

Multiplying the first two expressions,

\((7 \times 2 x^{2+3} + 7\times 5x^2)(x^2 -4x -9)\\(14 x^5 + 35 x^2)(x^2 -4x -9)\\\)

Now again multiplying these two expressions

\(14x^{5+2} - 4 \times 14 x^5 - 14 \times 9 x^5 + 35x^{2+2} - 35 \times 4x^{2+1} - 35 \times 9 x^2\)

Simplifying this we get,

\(14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2\)

Hence,

The product of the given expression is,

\(14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2\) .

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