Factor the expression x^2-4 ?

Answer: Your answer is 23.5in²

Hope it helped :D

Good Luck!

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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The type of variable being referred to is a reference variable, also known as a reference type.

In Java and other object-oriented programming languages, reference variables are used to store references to objects. Unlike primitive data types such as int or double, reference variables do not store values directly. Instead, they store the memory address of an object.

When a reference variable is passed into a method, the method receives a reference to the same object as the caller. Any changes made to the object within the method are saved, and the previous value of the object is overwritten outside the method. This is because the method operates on the same object as the caller, rather than a copy of the object.

It is important to understand the behavior of reference variables when passing them into methods, as this can have unintended consequences. For example, if the method modifies the object in a way that is not expected, the caller will also see the same change. To avoid this, it is sometimes necessary to create a new object within the method, rather than modifying the original object.

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When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

Given that,

given two points and asked to find the equation of the line in slope-intercept form.

Find that,

what are the correct steps? Place a number next to the step to put them in order.

Explanation:

to find the equation of the line in slope intercept form form given two points.

step 1 :

find the slope.

step 2

write equation in point slope form

step 3.

pick a point form the given points , substitue it into the point slope form

step 4.

write the equation in slope intercept form by simplifying

Final Answer.

Hence , the correct order is 2 , 1 , 4 , 3.

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1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Answer:

A) ¬(¬q) ≡ q

B) ≡ ( эx) (¬p(x) ∧ ¬q(x)

C) ≡ ( зx ) (p(x) ∧ (¬ q(x) ∨ r(x)) )

Step-by-step explanation:

using De Morgan's law for quantified statements and the laws of propositional logic to show the equivalent of the following

from De -Morgan law

¬(A ∨ B ) = ¬ A ∧¬ B

ATTACHED BELOW IS THE COMPLETE SOLUTION

Answer:

4

Step-by-step explanation:

A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)

Step-by-step explanation:

x = total area of land

x - 1/6 × x - 5/9 × x = 48.5 | multiply both sides by 6

6x - x - 30/9 × x = 291

5x - 30/9 × x = 291 | multitude both sides by 9

45x - 30x = 2,619

15x = 2,619

x = 174.6 acres

pineapples were planted on 174.6 × 1/6 = 29.1 acres.

durians were planted on 174.6 × 5/9 = 97 acres.

Answer:

x= 2/11

Step-by-step explanation:

Division

The value of x from the given equation is 2/11.

The given equation is 1÷11/2=x.

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 solved as follows:

Now, 1÷11/2=x

⇒ 1 × 2/11 =x

⇒ x=2/11

Therefore, the value of x from the given equation is 2/11.

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Answer:

hey mate this is the answer

hope it helps you

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have uploaded a graph for you. The x axis is the number of years. The y axis is the salary multiplied by 1000. I should have made the multiplication factor 10000 but 1000 will do.

The 5 given points are plotted in red. The blue line is the function.

The function is y = 5x + 35. That means for every year you add 5 times the year onto the salary.

No years is 35000

1 year is 1 * 5000 + 35000

2 years is 2 * 5000 + 35000 = 45000

6 years is 5 * 5000 * 35000 = 65000

and so on.

The point you want is x = 12

12 years is 12 * 5000 + 35000 = 95000

Forgot the graph

Answer:

2 . figures have a volume that is greater than 600 in3.

Step-by-step explanation:

Thanks to the other user

To find the decimal equivalent of 2/5, you can divide the numerator (2) by the denominator (5):

2 ÷ 5 = 0.4

Therefore, the decimal equivalent to 2/5 is 0.4.

The range of the exponential function is B. y > 0.

The range of the exponential function f(x) = 11 × (1/3)ˣ can be determined by analyzing the behavior of the function as x approaches positive and negative infinity.

As x approaches positive infinity, (1/3) becomes smaller and smaller, tending towards zero.

f(x) approaches 11 × 0, which is equal to 0.

As a result, the function approaches 0 as x goes to infinity.

On the other hand, as x approaches negative infinity, (1/3)ˣ becomes larger and larger.

Since 1/3 is between 0 and 1, raising it to a negative power causes it to grow exponentially.

f(x) approaches infinity as x goes to negative infinity.

Combining these two behaviors, we can conclude that the range of the function f(x) = 11 × (1/3)ˣ is all positive real numbers, excluding zero.

In other words, the range is y > 0.

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Answer:

slope=0

Step-by-step explanation:

The required slope of the line is zero which implies that the given line is parallel to the x-axis.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
The slope of the line that passes through the points (−10,−8) and (−9,−8) is given as,

m = (y₂ - y₁) /  (x₂ - x₁)

Substitute values in the above equation,
m = -8 + 8 / -9 +10
m = 0

Thus, the required slope of the line is zero which implies that the given line is parallel to the x-axis.

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According to the given table, there are 6 classes. We have to find the amplitude of each class as follows

We use this amplitude to find the limits of the classes.

So, the intervals are shown in the image below

Now, we determine the frequency of each interval. Remember that the frequency refers to the numbers that fall into an interval.

The image below shows the frequency column.

Answer:

The radius of the circle is 24.5 units

Step-by-step explanation:

The formula for the circumference of a circle is \(C=2\pi r\)

Where \(C\) is the circumference and \(r\) is the radius.

Lets solve for \(r\).

Divide both sides of the equation by \(2\pi\).

\(\dfrac{C}{2\pi}=r\)

Now we have an equation to evaluate the radius.

Numerical Evaluation

In this example we are given

\(C=153.86153\\\pi =3.14\)

Substituting our values into our equation for the radius yields

\(r=\dfrac{153.86153}{2*3.14}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=\dfrac{153.86153}{6.28}\)

\(r=24.5\)

Answer:

m1 is 36º and m2 is 54º

Step-by-step explanation:

So this looks like a 90º angle, just split up in two different other angles. This angle altogether is 90º.

So let's make an equation.

(x+18) + 3x = 90

Now just solve for x, you can get rid of the parenthesis.

x + 18 + 3x = 90

Combine the like terms first --

x + 3x = 4x

Now it is 18 + 4x = 90

Now to isolate 4x you have to subtract 18, so do it on both sides. 18-18=0 90-18= 72

Now the equation is 4x = 72

Now to isolate x you do opposite operation and divide 4x/4 and 72/4 = 18

So, x equals 18. Now you know what x is, you have to find out what m1 and m2 is. Replace x with 18.

m1-- 18 + 18 = 36

m2-- 3(18)= 54

So, m1 is 36º and m2 is 54º

Hope this helps!!

-Ketifa

Answer: 189 m^2

Step-by-step explanation:

Area = (Diagonal 1 x Diagonal 2) ÷ 2

Answer:

20 inches

Step-by-step explanation:

Let x be the current height of Jada's dog in inches.

The equation to represent the problem is:

x = 5 1/2 + 14 1/2

To solve, we first need to add the mixed numbers:

5 1/2 + 14 1/2 = 20

So, the current height of Jada's dog is 20 inches.

Answer:

B

Step-by-step explanation:

Hmm... I would think it is B...

b^2-4ac is discrimant. It is 0?

Answer: We know that csc(theta) is the reciprocal of sin(theta), so we can start by finding sin(theta) by taking the reciprocal of csc(theta):

csc(theta) = -23/19

1/sin(theta) = -23/19

We can solve for sin(theta) by taking the reciprocal of both sides:

sin(theta) = 1 / (1/sin(theta)) = 1 / (-23/19) = -19/23

Therefore, sin(theta) = -19/23.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample proportion \(\hat p = \dfrac{50}{200}\)

\(\hat p = 0.25\)

The null hypothesis and the alternative hypothesis:

\(H_o: p = 0.20 \\ \\ H_1 : p > 0.20\)

Thus; the test statistics is:

\(Z = \dfrac{\hat p - p_o}{\dfrac{p_o(1-p_o)}{n} }\)

\(Z = \dfrac{0.25 -0.20}{\sqrt{\dfrac{0.20(1-0.20)}{200} }}\)

\(Z = \dfrac{0.05}{\sqrt{\dfrac{0.16}{200} }}\)

\(Z = \dfrac{0.05}{\sqrt{0.0008 }}\)

\(Z = 1.768\)

P-value = 2 × P(Z< - 1.768)

From the z tables

P-value = 2 × 0.03853

P-value = 0.07706

Thus, the p-value is 0.05 < P-value < 0.10

Answer:

To find the width of the clubhouse on the plans, we need to use the given scale of 1 inch on the plans being equivalent to 8 inches on the actual clubhouse. Let's assume that "x" inches on the plan correspond to the actual width of 126 inches of the clubhouse.

Using the proportionality of the scale, we can set up the following equation:

1 inch / 8 inches = x inches / 126 inches

Simplifying the equation, we can cross-multiply to get:

8 inches * x inches = 1 inch * 126 inches

8x = 126

x = 15.75

Therefore, the width of the clubhouse on the plans is 15.75 inches.

Answer:

Cool

Step-by-step explanation:

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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Answer: 348 miles

Step-by-step explanation:

The car will travel 174 miles in 3 hours, if you multiply 174 x 2, the car will travel 348 miles in 6 hours.

The deductions were 35.2% of the gross weekly pay

Firstly, we need to calculate the sum of all the deductions

We have this as;

Now, we divide this by the gross salary and multiply by 100%

We have this as;