describe how to determine if a function is a linear or non-linear from a table ​

Answer:

Line AC is 8

Since the lines are parallel, the angles are the same, and the triangles are equally proportional. The ratio of 12 and 24 is 2, so you multiply 4 by 2 to get 8.

Answer:

F. 230 = 7.5x - 100

Step-by-step explanation:

this equation illustrates how to determine the number of bracelets melaine sold, while the others do not

Answer:

900

Step-by-step explanation:

-2(-250)+400

or, 500+400

=900

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Energy can be considered as the capacity of bodies to do work, it can be presented in different forms.

In physics, it is established that energy is the ability of any component to cause an alteration in its environment. However, classically, it is indicated that:

There are different types of energy, for example, we have:

¡Hope this helped!

Answer:

True

Right angles measure 90° . So each vertical angle = 90° and hence they are equal

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75x+3=6(x−3)

0.75x+3=(6)(x)+(6)(−3)(Distribute)

0.75x+3=6x+−18

0.75x+3=6x−18

Step 2: Subtract 6x from both sides.

0.75x+3−6x=6x−18−6x

−5.25x+3=−18

Step 3: Subtract 3 from both sides.

−5.25x+3−3=−18−3

−5.25x=−21

Step 4: Divide both sides by -5.25.

−5.25x/-5.25    =    -21/-5.25

Answer: x=4

The value of x from the given equation is 4.

The given equation is 0.75x + 3 = 6 (x - 3).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solve for x as follows:

0.75x + 3 = 6x - 18

⇒ 6x-0.75x = 3+18

⇒ 5.25x=21

⇒ x=21/5.25

⇒ x=4

Therefore, the value of x from the given equation is 4.

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4.2.1. The coordinates of C and D are (0, 12) and (4, 0) respectively.

4.2.2. The values of m is -3 and c is 12, the equation of g(x) is g(x) = -3x + 12.

4.2.3. If OB = 1/2, the length of AE is 1.75 units.

4.2.4. The values of x for which f(x) is decreasing is x > 0.5.

4.2.5. The range of f(x) is [-∞, 12.25].

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

f(x) = -x² + x + 12

Based on the diagram or graph above, we can logically deduce that the coordinates of C and D represent the y-intercept and one of the x-intercept of the quadratic equation f(x).

When x = 0, the coordinates of C is given by;

f(0) = -0² + 0 + 12

f(0) = 12, C = (0, 12).

When f(x) = 0, the coordinates of D is given by;

0 = -x² + x + 12

0 = -x² + 4x - 3x + 12

0 = (x - 4)(x + 3)

x = 4 or x = -3

Since D is on the positive x-axis, it is equal to (4, 0).

Part 4.2.2.

Next, we would determine the slope (m) and y-intercept (c) as follows;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (12 - 0)/(0 - 4)

Slope (m) = -3

y-intercept (c) at C (0, 12) is equal to 12.

Part 4.2.3

Assuming line segment OB = 1/2, we would determine the length of AE;

AE = AB - BE

BE =  g(1/2) = -3(1/2) + 12

BE = 10.5 units

AB = f(1/2) = -(1/2)² + (1/2) + 12

AB = 12.25 units.

AE = 12.25 - 10.5

AE = 1.75 units.

Part 4.2.4

The values of x for which f(x) is decreasing represent all the numbers that are greater than the axis of symmetry;

Axis of symmetry = -b/2a

Axis of symmetry = -1/2(-1)

Axis of symmetry = 0.5

x > 0.5.

Part 4.2.5

By critically observing the graph shown in the image attached above, the range is given by:

f(x) = -x² + x + 12

f(1/2) = -(1/2)² + (1/2) + 12

f(1/2) = 12.25

Therefore, the range is [-∞, 12.25] or {y|y ≤ 12.25}.

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In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.

For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.

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Answer:

25

Step-by-step explanation

8x+5x+4x=180-6+1

17x=175

x=25

Answer:

1.3

Step-by-step explanation:

The Rest Of Them Are Writen As Fractions

Answer:

\(\sqrt{10}\)

NOTE: the other answer is WRONG...

irrational means can not be written as a fraction (with whole numbers)

4/3 = 1.33333333333

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

Given linear inequalities in the graph are,

\(y\geq -\frac{1}{3}x+2\)

y < 2x + 3

Here shaded area above the solid line represents the inequality,

\(y\geq -\frac{1}{3}x+2\)

And shaded area on the right side of the dotted line represents the solution set of the inequality,

y < 2x + 3

And the solution set of the system of linear inequalities will be represented by the common area of these inequalities.

Therefore, ordered pairs (2, 2), (3, 1) and (4, 2) will lie in the common shaded area.

Option (1) will be the answer.

First, we'll look at the first term of each expression.

---x times what is equal to x^3? = x times x^2 = x^3

So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.

x^2(x + 1) = x^3 + x^2

(x^3 + 4x + 5) - (x^3 + x^2)

x^3 - x^3 = 0

0 - x^2 = -x^2

4x - 0 = 4x

5 - 0 = 5

Our new expression is -x^2 + 4x + 5.

So we again ask ourselves, x times what is equal to -x^2? = -x

-x(x + 1) = -x^2 - x

And subtract!

(-x^2 + 4x + 5) - (-x^2 - x)

-x^2 - - x^2 = -x^2 + x^2 = 0

4x - - x = 4x + x = 5x

5 - 0 = 5

Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.

Multiply, then subtract!

5(x + 1) = 5x + 1

(5x + 1) - (5x + 1) = 0

Now that we have nothing left to divide, let's go back and get our answer.

x^2 - x + 5

Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.

Hope this helps and if you have any further questions, please let me know! :)

Answer:

Step-by-step explanation:

         x   - 2         <--- quotient

x + 1) x^2 -  x + 5       First divide x^2 by x giving x then multiply x + 1 by x:

         x^2 + x             Now subtract x^2 + x from x^2 - x and bring down +5:

                  -2x + 5     Now divide -2x by x to get -2 and multiply X+1 by -2                           -2x - 2       Subtract:

                           7  

The result is x - 2 (see above)  remainder 7

or you could write it as

x  - 2 + 7/(x + 1)                                            

Answer:

\(-\frac{3}{2}\)

Answer:

No

Step-by-step explanation:

4.5 IS NOT A WHOLE NUMBER!

Answer:

YES 4.5 IS NATURAL NUMBER

Step-by-step explanation:

To find the first employee who commutes by bus, you would need to sample at least 5 employees (since 20% of employees commute by bus, and 1/5 is equal to 20%).

However, if you wanted to increase the likelihood of finding the first employee who commutes by bus, you may need to sample more employees. To find the first employee who commutes by bus, you can use the concept of probability.

Since 20% of the business's employees commute by bus, there's a 1 in 5 chance that a randomly selected employee will be a bus commuter. On average, you would need to sample 5 employees in order to find the first employee who commutes by bus.

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The coordinate of the y-intercept of the given quadratic graph is: (0, -3)

The general form of the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The general form of quadratic equations is expressed as:

y = ax² + bx + c

Now, from the term y-intercept, we know that it is the point where the graph crosses the y-axis and as such, we have the coordinate from the graph as:

(0, -3)

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Answer: f would be 1 i think

Step-by-step explanation:

Answer:

7.

Step-by-step explanation:

Substitute -3 for x, and evaluate the expression to get 7.

The rate of change of a linear function is the slope of the function.

The y-intercept and the rate of change for this problem are 78 and 3, respectively.

The given parameters are:

\(\mathbf{Initial = 78\ gallons}\)

\(\mathbf{Rate = 3\ gallons/ minute}\)

The initial amount in the pool is the y-intercept.

So, we have:

\(\mathbf{y-intercept = 78\ gallons}\)

The rate at which Jimmy fills the pool is the rate of change.

So, we have:

\(\mathbf{Rate\ of\ change = 3\ gallons/ minute}\)

Hence, the y-intercept and the rate of change for this problem are 78 and 3, respectively.

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Answer:

the answer is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Opposite angles in parallelogram are equal, so:

3b° = 111°            divide both sides by 3

b° = 37°

  b = 37

The overall change of the amount of water in pitcher is increased by 5/4 cups of water which was there in pitcher.

According to the question,

We have the following information:

Sara added \(1\frac{3}{4}\) cups of ice cold water to a partially filled pitcher. Then she fills four glasses that hold 3/4 cup each with water.

Converting the cups of ice cold water from mixed fraction:

7/4 cups

Now, the amount of water in 4 glasses:

3*4/4

3 cups of water

Now, there was already some amount in pitcher. So, let's take that amount to be x cups.

So, we have the following expression:

x+7/4 = 3

x = 3-7/4

Taking 4 as the least common multiple and subtracting the fractions:

x = (12-7)/4

x = 5/4 cups

Hence, the overall change of the amount of water in the pitcher is increased by 5/4 cups of water which was already there in pitcher.

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Answer:

false

Step-by-step explanation:

15 is a larger number than -16

The amount that Rachel would have in her account after 3 years with annual compounding is $11.58.

When interest is compounded annually, it means both the amout deposited and the interest already accrued increases in value once a year.

The formula for calculating future value:

FV = P (1 + r)^n

$10 x (1.05)^3 = $11.58

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Answer:

1.58

Step-by-step explanation:

its right

Equation of a line

The slope-intercept form of the line can be written as follows:

Where m is the slope and b is the y-intercept

We have two points through which the line passes. If we substitute them into the equation, we can find the values of m and b.

Using the point (-4,-6):

Using the point (4,4):

Subtract the second equation from the first equation:

Solve for m:

Substituting into the second equation:

Finally, the equation of the required line is:

The statements that are a result of corresponding parts of congruent triangles being congruent are:

An isosceles triangle is a type of triangle with two equal sides and angles. The other types of triangle includes;

From the figure;

Sides EFGH are congruent, that is, equal

Since Sides EFGH are congruent, it can not be a rectangle, it is a square.

Triangle FGH and FEH are both isosceles triangle.

Diagonal FH bisects triangle FGH and FEH

So therefore, the isosceles triangle FGH and FEH are congruent and bisected by diagonal FH.

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Answer:

B. (-3, -17)

Step-by-step explanation:

Plotting them out on a graph, the other 3 points are able to be connected as a parallelogram. If you don't have graph paper at home, you can do an online search for "online graph paper" and use that. I personally find it very helpful to be able to see these kinds of things with my eyes.

Answer:

A.

two rays that share a common endpoint called the vertex

Step-by-step explanation:

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

The best statement which defines an angle is "Two rays that shares a common endpoints called vertex".

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

From the definition of an angle, a figure which is formed by two rays or lines that shares a common endpoints is called an angle.

Hence, the best statement which defines an angle is "Two rays that shares a common endpoints called vertex".

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Answer:

22

Step-by-step explanation: